Two pipes A and B can fill a tank in 5 hours and 20 hours respectively. Both pipes together can fill the same tank in:
CMAT 2021 Slot 1 Question Paper
For the following questions answer them individually
Solution
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Let the volume be 20 units
So A fills at 4 units/hr
B fills at 1 unit/hr
Now together they fill 4+1 = 5 units/ hour
Now time taken to fill completely : 20/5 = 4 hrs
In June-2020, the ratio of boys to girls in a college was 3 : 2. In September-2020, there were 80 fewer boys and 20 fewer girls in the college and the ratio of boys to girls was 7 : 5. What was the total number of students in the college in June-2020?
Solution
In June 2020
Let the number of boys be 3x
So number of girls will be 2x
Now number of boys in September 2020: 3x-80 and girls in September 2020 : 2x-20
Now as per given 3x-80:2x-20 =7:5
we get 15x-400 =14x-140
we get x=260
So number of students in June 2020 = 3x+2x =5x = 1300
M is a 4-digit number. If the left most digit is removed, then the resulting three digit number is $$\frac{1}{9}^{th}$$ of M. How many such M's are possible?
Solution
According to question,
Number AXYZ/9 = XYZ
It can be written as
A000/9 + XYZ/9 = XYZ
A000/9 + XYZ/9 = 9XYZ/9
A000/9 = 8XYZ/9
A000 = 8XYZ
We have to find the maximum value of A so that when A000 is divided by 8 gives three digit numbers.
7000/8= 875 and 8000/8=1000.
So, answer is 7.
L and M together can complete a piece of work in 72 days, M and N together can complete it in 120 days, and L and N together in 90 days. In what time can L alone complete the work?
Solution
Let L does a units of work/day
M does b units of work/ day
N does c units of work/ day
Now as per given conditions :
Let work be W
So we get
W = 72(a+b) =120(b+c) =90(a+c)
we get
6a+6b = 10b +10c
we get 6a-4b-10c=0 (1)
also
4a+4b =5a+5c
we get a-4b+5c =0 (2)
From (1) and (2)
we get a=3 , b=2 and c=1
Now therefore W = 360
Now time taken by L alone to complete the work = 360/3 = 120 days
Given below are two statements
Statement I : The set of numbers(5,6, 7, p, 6, 7, 8, q) has an arithmetic mean of 6 and mode (most frequently occurring number) of 7. Then $$p\times q=16$$.
Statement II: Let p and q be two positive integers such that $$p+q+p\times q=94$$. Then $$p+q=20$$.
In light of the above statements, choose the correct answer from the options given below
Solution
Statement 1:
It is given that the mode of the set is 7. Thus, either p or q(or both) will be 7.
Now, p*q will be a multiple of 7. But it is given that p*q = 16. Thus, this statement is false.
Statement 2:
It is given that p + q + p*q = 94
If p + q = 20, then p*q = 74.
Thus, either (p,q) will be (2,37), (37,2), (1,74) or (74,1).
Since none of the values will give a sum of 20, this statement is also false.
Thus, the correct option is B.
A milkman adds 10 litres of water to 90 litres of milk. After selling $$\frac{1}{5}^{th}$$ of the total quantity, he adds water equal to the quantity he sold. The proportion of water to milk he sells now would be:
Solution
Initially Milkman has 90 liters of milk
Now amount of water added = 10 liters
So total quantity becomes : 100 liters
He sold 1/5 of quantity
so he sold 2 liters of water and 18 liters of milk (A total of 20 liters is sold )
Now he is left with 10-2 = 8 liters of water and 90-18 = 72 liters of milk.
Now he adds 20 liters of water
so the amount of milk and water with him will be : 72 and 28 respectively.
In a $$\triangle ABC,D,E$$ and $$F$$ are the mid-points of the sides AB, BC and CA respectively. Then the ratio of the area of a $$\triangle DEF$$ and the area of a $$\triangle ABC$$ is:
Solution
We are given :
Now In triangle ABC
using the mid point theorem
we get DE || BC and DE = $$\frac{1}{2}\left(BC\right)$$
Now ADE is similar to ABC
So Area of ADE : Area of ABC = (DE/BC)^2 = 1:4
Similarly Area of BDF :Area of ABC = 1:4
and Area of CEF : Area of ABC = 1:4
Now we can say if area of ABC = 4A
then area of ADE = area of BFD = area of CEF = a
Therefore area of DEF = 4a-3a =a
so area of DEF : area of ABC = 1:4
A 100-meter long train crosses a 200-meter long and 20-meter wide bridge in 20 seconds. What is the speed of the train in Km/hour?
Solution
We will only consider length of bridge
Now total distance = 100+200 = 300m
Now time taken to cross = 20 seconds
Therefore speed = 15m/sec = 15(18/5) = 54km/hr
Given below are two statements:
Statement I: $$\frac{\sqrt{7}+\sqrt{5}}{\sqrt{7}-\sqrt{5}}+\frac{\sqrt{7}-\sqrt{5}}{\sqrt{7}+\sqrt{5}}=2$$
Statement II: If $$a+b+c=0$$, then $$(a^{3}+b^{3}+c^{3})\div abc=3$$
In light of the above statements, choose the correct answer from the options given below
Solution
From statement 1 we get
Adding taking LCM
$$\frac{\left(\sqrt{\ 7}+\sqrt{\ 5}\right)^2+\left(\sqrt{\ 7}-\sqrt{\ 5}\right)^2}{7-5}$$
= 12
So statement 1 is false
Now statement 2 is an identity
so 2 is true .
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Given below are two statements:
Statement I : A coin is tossed three times. The probability of getting exactly two heads is 3/8
Statement II: In tossing of 10 coins, the probability of getting exactly 5 heads is 63/256
In the light of the above statements, choose the correct answer from the options given below.
Solution
Statement I:
Probability of getting head = P(H) = $$\frac{1}{2}$$
Probability of getting tail = P(T) = $$\frac{1}{2}$$
3 coins are tossed and probability of getting 2 heads = $$3_{C_2}\left(\frac{1}{2}\right)^2\left(\frac{1}{2}\right)$$ = $$\frac{3}{8}$$
Statement I is true.
Statement II:
10 coins are tossed and probability of getting exactly 5 heads = $$10_{C_5}\left(\frac{1}{2}\right)^5\left(\frac{1}{2}\right)^5$$ = $$\frac{63}{256}$$
Statement II is true
Answer is option A.
If $$x^{2}-3x+2$$ is a factor of $$x^{4}-px^{2}+q$$, then (p,q) =
Solution
We have :
$$f\left(x\right)\ =\ x^4-px^2+q$$
Now $$x^2-3x+2\ =\ \left(x-2\right)\left(x-1\right)\ $$ is a factor of f(x)
so we can say f(2) = f(1) =0
substituting we get
1-p+q =0
p-q =1
and 16-4p+q =0
4p-q =16
solving we get
p=5 and q =4
In a 100 meter race, A beats B by 10 meters and B beats C by 5 meters. By how many meters does A beat C?
Solution
Now
When A covers 100 meters
B covers 90 meters
so we can say Va :Vb = 100:90 = 10:9 (1)
Similarly Vb:Vc = 100:95 = 20:19 (2)
Now multiplying (1) and (2)
we get Va : Vc = 200:171
Now therefore when A covers 100 meters
C covers 85.5 meters
And so A beats C by 14.5 meters
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Mohan bought a trouser at 10% discount and sold it to Sohan at a loss of 10%. If Sohan paid Rs. 729 for the trouser to Mohan, then what was the undiscounted price of the trouser?
Solution
It is given that Mohan bought a trouser at 10% discount and sold it to Sohan at a loss of 10%
Now Sohan paid Rs 729
So S.P for Mohan = 729
This is sold at 10% loss
so cost price of Mohan = 729/0.9 =810
Now Mohan bought for 810 at 10% discount
so original price (1-0.1) =810
We get undiscounted price = 900
Which of the following graphs represent the function of x?
Choose the correct answer from the options given below :
Solution
Graph A and D represent the function of x, because a vertical line is drawn in (a) meets the graph at only one point i.e., for one x, in the domain there exist only one f(x) in the codomain.
The following pie-chart indicates the monthly domestic budget of a family:
where A = Food: B = Conveyance; C = Clothing: D = House Rent: E = Miscellaneous Expenses:
F = Saving.
If the monthly saving of the family is Rs. 4500, then the monthly income of the family is:
Solution
We know
A+B+C+D+E+F =100
So we get F = 15%
Now let income be I
so we get I(0.15) = 45000
We get
I = 30,000
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Two sisters Neha and Monica walk to school from the house. Neha takes 40 minutes while Monica takes 30 minutes. One day Neha started 5 minutes earlier than Monica. In how many minutes would Monica overtake Neha?
Solution
The distance covered by both Neha and Monica is same .
Now Neha takes 40 minutes to cover the distance which Monica covers in 30 minutes
So we can say their speed ratio = 3:4
Let speed of Neha be 3v and speed of Monica be 4v
Now in 5 minutes Neha would cover 15v of distance
Now Neha is ahead by 15v when Monica starts
so relative distance = 15v
And relative speed = 4v-3v =v
Therefore time to overtake = 15v/v = 15minutes
Given below are two statements
Statement I : A committee of 4 can be made out of 5 men and 3 women containing at least one woman in 65 ways.
Statement II : The number of words which can be formed using letters of the word ARRANGE' so that vowels always occupy even place is 36.
In light of the above statements, choose the correct answer from the options given below
Solution
Now we have 5 men and 3 women
committee of 4 to be made such that it has at least 1 woman
Case 1 :
1W and 3M
We get $$^5C_3\times\ ^3C_{1\ }=\ 30$$
Case 2 : 2W 2M
$$^5C_2\times\ ^3C_{2\ }=\ 30$$
Case 3 : 3W 1 M
$$^5C_1\times\ ^3C_{3\ }=\ 5$$
So total cases = 65.
so 1 is true
Now
ARRANGE
If vowels to be at even position :
we get cases as $$\frac{3!}{2!}\times\ \frac{4!}{2!}$$ = 36
So statement 2 is true
If $$A:B = C:D$$, then the value of $$\frac{A^{2}+B^{2}}{C^{2}+D^{2}}$$ is
Solution
Let the ratio be K
so we can say A=BK
and C = Dk
Now $$\frac{A^2+B^2}{C^2+D^2}=\ \frac{A^2\left(1+k^2\right)}{C^2\left(1+k^2\right)}=\ \frac{A^2}{C^2}$$
Now checking the options
A,B,C gets eliminated
And AB/CD = $$\ \frac{A^2}{C^2}$$
so D is the correct
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The dimensions of a floor are $$18\times24$$. What is the smallest number of identical square tiles that pave the entire floor without the need to break any tile?
Solution
We have dimensions : (24*18)
HCF ( 24, 18) = 6
Now Area of floor: 432
In order to minimise the number of tiles considering a tile with a dimension equivalent to the HCF, we have the dimension of the tile to 6*6 = 36 units.
A total of $$\frac{432}{36}$$ = 12 tiles are required.
Minimum number of tiles that pave the entire floor :(LCM)^2/Area = 12
Which of the following statements regarding quadratic equations are true?
(A) Solution set for the equation $$6x^{2}-5x=4$$ is $$\left\{-\frac{1}{2},\frac{4}{3}\right\}$$
(B) The nature of the roots of the equation $$9x^{2}+6x+1=0$$ is equal, real and rational.
(C) If one root of $$4x^{2}-3x+K=0$$ is 3 times the other, then $$K=\frac{27}{256}$$
Solution
We have :
$$6x^2-5x-4\ =0\ $$
=$$6x^2-8x+3x-4\ =0\ $$
(2x+1)(3x-4)=0
so solution set is {-1/2 ,4/3}
$$9x^2+6x+1\ =0$$
D = 36-36 =0
So we can say roots are real and equal
$$4x^2-3x+k$$=0
let roots be p and 3p
we get 4p =3/4
p =3/16
Now k/4 = 3p^2
we get k = 12p^2
we get k = 27/64
So A and B are true and C is false
Arrange the following rational numbers in ascending order:
(A) $$\frac{-4}{5}$$
(B) $$\frac{-5}{12}$$
(C) $$ \frac{-7}{18}$$
(D) $$\frac{-2}{3}$$
Solution
We have :
$$-\frac{4}{5}\ ,\ -\frac{5}{12}\ ,\ -\frac{7}{18}\ ,\ -\frac{2}{3}$$
Now LCM is 180
so we get :
$$-\frac{144}{180}\ ,\ -\frac{75}{180}\ ,\ -\frac{70}{180}\ ,\ -\frac{120}{180}$$
Now arranging in ascending order
we get :
$$-\frac{144}{180}\ <\ -\frac{120}{180}<-\frac{75}{180}<-\frac{70}{180}$$
so order is A<D<B<C
Match List I with List II.
Let A and B be events with $$P(A)=\frac{2}{3}, P(B)=\frac{1}{2}$$ and $$P(A\cap B)=\frac{1}{3}$$
(Here c stands for complement)
Choose the correct answer from the options given below:
Solution
Let the sample size of the above events be 6 units.
Since $$P(A)=\frac{2}{3}, P(B)=\frac{1}{2}$$ and $$P(A\cap B)=\frac{1}{3}$$,
Then event A will have 4 units($$\frac{2}{3}\times\ 6$$), event B will have 3 units and event $$A\cap B$$ will have 2 units.
This can be expressed in terms of the Venn diagram as follows:
Now, it can be observed that $$A\cap B^c\ =2$$ units.
Thus, $$P\left(A\cap B^c\right)\ =\frac{2}{6}=\frac{1}{3}$$.
Similarly, $$A\ U\ B^c\ =5$$ units($$A=4$$ and $$B^c-A=1$$ units)
So, $$P\left(A\ U\ B^c\right)\ =\frac{5}{6}$$
Since only option A has $$P\left(A\cap B^c\right)=\frac{1}{3}$$ and $$P\left(A\ U\ B^c\right)\ =\frac{5}{6}$$,
The correct option is A.
In the year 2020, Production of Sugar (in Million Tonnes) by six major production units A-F of India are shown in the table given below:
What was approximate percentage decrease in sugar production of unit B in June as compared to April?
Solution
Production of unit B in April = 180
Production of unit B in June = 160
Now therefore percentage decrease = $$\frac{\left(180-160\right)}{180}\times\ 100\ \approx\ \ 11\%$$
The difference between the compound interest and simple interest for the amount Rs 5000/- in 2 years is Rs. 32. Then the rate of interest per annum is:
Solution
The difference between C.I and S.I for a period of 2 years is given by : P(R/100)^2
So we get :
P(R/100)^2 = 32
5000(R/100)^2 = 32
(R/100)^2 = 32/5000 = 16/2500
We get
R/100 = 4/50
R = 8%
Given below are two statements
Statement I: In the sequence of numbers 30, 90, 182, 306, 462,P........ . the term P is 650.
Statement II : There are 8 digits in $$9^{8}$$ when it is expressed in decimal form.
In light of the above statements, choose the correct answer from the options given below
Solution
We have :
30, 90, 182, 306, 462,P.
Now 90-30 =60 (1)
182-90 = 92 (2)
306-182 = 124 (3)
462 -306 = 156
If you observe , the first difference of the terms form an arithmetic progression
So we can say the next term will be
462 +156+32 = 462 +188 = 650
So P is 650
So statement 1 is true .
Taking statement 2 :
we get 9^8
Now number of digits = [log9^8 +1]
we get [8log9+1]= 8
so number of digits in 9^8 is 8
Find the number of triangles in the given figure :
Solution
On counting the total triangles comes out to be 13
One statement and two conclusions for the statement are given. Read the statement, think logically about the conclusions and mark the correct option which follows the statement.
Statement : Socialization has an outcome.
Conclusion:
A. The persons being socialized acquire new skills.
B. Socialization does not lead to change in behaviour.
Solution
Has an outcome can be related to skills acquired if person is socialized so I follows and
Has an outcome does not mean change in behaviour so II do not follow
Find the missing number in the given series:
8, 13, 10, 15, 12, ____
Solution
we have 8, 13, 10, 15, 12
Here the pattern is 8+5 =13 , 13-3 =10 , 10+5 =15 ;15-3 =12 so next term will be 12+5 =17
Complete the sequence :
30, 56, 90, _____ , 182, 240.
Solution
30, 56, 90, _____ , 182, 240.
Here the first differences forms an A.P with a common difference of 8
so we get next term as 90+42 = 132.
Find out which of the given statement(s) is/are sufficient to answer the following question Who scored the highest marks in the class?
Statements :
(A) Pawan scored 98% marks in the class.
(B) Swati scored more than 98% marks in the class.
(C) The marks of all the students were less than that of Swati’s marks.
Choose the correct answer from the options given below:
Solution
As per C Swati will be the highest scorer
so C alone is sufficient to determine the highest scorer .
The given statement is followed by two arguments-I and II. Decide which argument(s) is/are correct for the statement.
Statement: We should plant more trees.
Argument I. Trees help in reducing pollution.
II. Trees occupy too much of the earth's space.
Solution
Statement We should plant more trees.
Argument should be supportive and as 1st statement says it helps in reducing pollution which is goof 1 is correct
2 highlights a negative and will not be a reason to plant more trees so II is false .
Given below is a diagram of three circles X. Y and Z which represent musicians, singers and dancers, respectively. The circles intersect with each other and form regions- a, b, c and d. Select the region that represents musicians who are singers but not dancers.
Solution
X - Musicians
Y - singers
Z - Dancers
so we can say b represents all three and d will represent region pf Musicians and Singers but not Dancers
Find the odd one out :
Solution
Except SUWX all have a uniform change from one alphabet to other .
If CLAUSE is coded as ECSLUA. then the code of UMPIRE will be
Solution
CLAUSE is written as ECSLUA
Noe let C be 1 L be 2 A be 3 U be 4 S be 5 and E be 6
we get code as 615243
similarly taking UMPIRE as 1,2,3,4,5,6
we will get code as 615243
which will correspond to EURMIP
Find the wrong numberin this sequence :
72, 70, 67, 65, 58, 52, 45
Solution
The series should be 72-2 =70 ; 70-3 =67 ;67-4=63 ;63-5 =58 ;58-6 =52 ; 52-7=45
so 65 is the wrong term
In a certain language ‘Roses are red’ is coded as‘ko ti na’. “Roses are beautiful’ is coded as ‘ho ti na’. Whatis the codefor‘red’ in that language?
Solution
Comparing two statements
we have Roses are as common so we can say ti na will correspond to Roses are in any order
Therefore red will be ko
Six friends are sitting around a circular table in such a way that they are equidistant from each other. Kunal is sitting to the right of Alia and Dhruv is sitting between Arti and Jasmeet. Safi is sitting opposite to Jasmeet and to the right of Kunal. Who is sitting between Arti and Kunal?
Solution
The arrangement will be :
Safi is sitting between Arti and Kunal
Select the suitable figure from the answer figure that would replace the question mark (?)
Solution
Following the pattern for both cross and circle we get D as the answer
In a certain code, LUCKNOW is written as MTDJONX and SURFACE as TTSEBBF. How is HAPPINESS written in that code?
Solution
LUCKNOW is written as MTDJONX
L+1 =M ;U-1 =T ;C+1=D;K-1=J;N+1=O;O-1=N;W+1=X
So following the pattern for HAPPINESS
we get code as IZQOJMFRT
In a certain code FLOWER is written as 325716 and WRITE as 76481. How is LITTER written in that code?
Solution
FLOWER is written as 325716 and WRITE is written as 76481
Now L is 2 , I is 4 ,T is 8 , E is 1and R is 6 ( Corresponding letter and alphabet )
So we get LITTER as : 248816
Sophia is walking in the east direction. After walking for some time. she turns left and then again turns $$45^{0}$$ right. In which direction is she moving now?
Solution
Her Path will be :
We can say she is moving in North East direction
Observe the given figure and read the statements (I), (II) and (III).
Statements:
(I) All teachers are doctors
(II) Some doctors are teachers
(III) All surgeons are doctors
Which of the following statement(s) is/are correct :
Solution
The only conclusions that follows from the given venn are :Some doctors are teachers and All surgeons are doctors
Hence II and III is the answer.
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Solar energy is in abundance on the planet earth.
Reason R : Solar energy is available only in summer season.
In light of the above statements, choose the correct answer from the options given below.
Solution
Assertion is correct
Reason is wrong as solar energy is available throughout the year
P is the father of R, Q is the sister of P, R is the brother of C and S is the mother of P. How is R related to S?
Solution
We get the tree as :
So R is grandson of S.
Ansh is taller than Akshita but shorter than Sharad. Akshita is shorter than Sharad but taller than Sneha. Who is the tallest one?
Solution
From 1st line we get :
Sharad > Ansh > Akshita
From 2nd we get
Akshita > Sneha
so we get
Sharad > Ansh > Akshita > Sneha
Hence Sharad is the tallest
Choose the missing item in the series:
CDFG, IJLM, OPRS,_____, ABDE
Solution
Considering the first letter of given terms
it forms pattern
C , I ,O,_ ,A
I and C have 5 alphabets between them , I and O also have 5 alphabets between them so we get first term as U .
Now considering 2nd letter of given terms :
D,J,P _,B
Here again D and J have 5 alphabets between them
J and P have 5 alphabets between them
So next letter will be V
so we get UV
We can conclude the answer will be UVXY
In analogy, you are required to guess the relation between the two given words and fill in the blanks after finding the similar relationship by choosing any word from the options given below:
BEES : SWARM :: LIONS :______
Solution
This is a collective noun question
so we get PRIDE .
A says to B, ‘I am the mother of your grandfather's son.’ How is A related to B?
Solution
Grandfather's son will be B 's father
And A will be the grandmother of B .
Aman is five ranks ahead of Ishain class of 30 students. If Isha's rank is $$14^{th}$$ from the last, then what is Aman's rank starting from Chetan at the $$1^{st}$$ position?
Solution
Ishan is 14th from last so Ishan is 30-14+1 = 17th from start
Aman is five ahead of Ishan so we get Aman's rank as 17-5 =12th from start
A, B, C and D play tennis. B and C play football also. D does not play chess but plays badminton. Who plays only tennis?
Solution
B and C plays football and Tennis
D plays badminton and Tennis
so A plays only Tennis
Read the given passage and answer the questions that follow.
Few doctor have any time for the study of philosophy, for their profession is an exacting one, and it is all they can do to keep abreast of its advances. What is true of Medical Science is also true of the whole civilized world. Men at present are so engrossed in their various occupations, in manufacturing goods, in buying and selling, in accumulating wealth or in struggling merely to maintain themselves that they have no time left to wonder what living is all about.
The expression “it is all they can do” in the first sentence conveys the idea of all that
Solution
"Few doctors have any time for the study of philosophy, for their profession is an exacting one, and it is all they can do to keep abreast of its advances..."
The underlined portion from the passage excerpt refers to the doctors who can't take the time to study philosophy.
Only option A captures this idea. Thus, the correct answer is A.
The expression that “their profession is an exacting one” is the best described by which one of the following statements?
Solution
"Few doctors have any time for the study of philosophy, for their profession is an exacting one, and it is all they can do to keep abreast of its advances..."
The underlined portion reflects the demanding nature of the doctor's work. Because of this, they don't have any time to study philosophy.
Option C captures this in the most appropriate way.
Although option A is true, it is not describing the underlined portion.
Options B and D are distorted inferences.
Thus, the correct option is C.
The author compares medical profession with various other occupation in order to show that
Solution
The passage states that doctors are too busy keeping up with medical science to study philosophy. It then extends this idea to the entire world, explaining that people in various occupations—such as manufacturing, trade, and wealth accumulation—are also too busy to reflect on the meaning of life.
Thus, the comparison is made to highlight that people in all occupations, not just doctors, lack time for philosophical study. Option D is the only option that rightly captures this idea.
Read the given passage and answer the questions that follow.
Our government has taken/ propose a number of major initiatives during the eleventh Five Year Plan. Some of the new initiative in the school and literacy sector and higher and technical education sector include : right of children to free and compulsory education, launching a Saakshar Bharat, ICT in secondary school and in open and distance learning. evolving a national curriculum framework for teacher education, examination reform in accordance with NCF- 2005, introducing a system of replacement of marks by grades at the secondary stage in school affiliated to CBSE. recommendation of Yash Pal Committee and National Knowledge Commission, establishment of 14 innovation Universities aiming at world class standards, setting up 10 new national institutes of technology. launching of new scheme of interest. subsidy on educational loan taken for professional courses by the economically weaker students, scheme for setting up of 374 model degree colleges in districts, 150 women’s hostels for women of weaker sections and minorities, academic reforms like semester system, choice based credit system, regular revision of syllabi, impetus to research etc.
The free and compulsory education bill of the eleventh Five Year Plan is a major initiative towards
Solution
Among the options, only option C is mentioned as a new initiative by the government under the eleventh five year plan.
Hence, the answer is option C.
Technical education is encouraged by our government by the introduction of
Solution
Among the options, only option B mentions an initiative towards encouraging technical education. The others are focused on primary, secondary schools and non-technical courses.
Hence, the answer is option B.
In order to ensure all round development in the field of education our government should take steps towards
Solution
All the ideas mentioned in the options, if implemented, will lead to an all-round development in the field of education for India.
Hence, the answer is option D.
The overall Idea behind the passage is
Solution
Throughout the passage, the author talks about the new initiatives under the eleventh Five Year Plan. Through the examples mentioned, we can observe that the author focuses mainly on the changes proposed for higher education.
Hence, among the options, A is the answer.
Read the given passage and answerthe questionsthat follow.
Education is not only an instrument for enhancing efficiency but also an effective tool of augmenting and widening democratic participation and upgrading the overall quality of individual and society. India has a vast population and to capture the potential demographic dividend to remove the acute regional, social and gender imbalances. the government is committed to make concerted efforts for improving the quality of education as mere quantitative expansion will not deliver the desired results in view of the fast changing domestic and global scenario.
High quality education can help the individual to balance between
Solution
The passage mentions, "India has a vast population and to capture the potential demographic dividend to remove the acute regional, social and gender imbalances, the government is committed to make concerted efforts for improving the quality of education"
Hence, the required answer is option B.
According to the author, education not only enhances the efficiency of the learner, it also
Solution
From the first line of the paragraph, "Education is not only an instrument for enhancing efficiency but also an effective tool of augmenting and widening democratic participation and upgrading the overall quality of individual and society.", we can infer options A, B and C.
Hence, the answer is option D.
Mere quantitative expression of education doesn't deliver the desired results, because
Solution
From the last line of the passage, "mere quantitative expansion will not deliver the desired results in view of the fast changing domestic and global scenario.", we can infer that option B is the answer.
Read the given passage and answer the questions that follow.
Philosophy of Education is a label applied to the study of the purpose, process, nature and ideals of education. It can be considered a branch of both philosophy and education. Education can be defined as the teaching and learning of specific skills and imparting of knowledge, judgment and wisdom, is something broader than the societal institution of education we often speak of.
Many educationalists consider it a weak and woolly field, too far removed from the practical applications of the real world to be useful. But philosophers dating back to Plato and the Ancient Greeks have given the area much thought and emphasis, and there is little doubt that their work has helped shape the practice of education over the millennia.
Plato is the earliest important educational thinker, and education is an essential element in "The Republic" (his most important work on philosophy and political theory, written around 360 B.C.). In it, he advocates some rather extreme methods: removing children from their mothers' care and raising them as wards of the state, and differentiating children suitable to the various castes, the highest receiving the most education, so that they could act as guardians of the city and care for the less able. He believed that education should be holistic, including facts, skills, physical discipline, music and art. Plato believed that talent and intelligence is not distributed genetically and thus is to be found in children born to all classes, although his proposed system of selective public education for an educated minority of the population does not really follow a democratic model.
Aristotle considered human nature, habit and reason to be equally important forces to be cultivated in education, the ultimate aim of which should be to produce good and virtuous citizens. He proposed that teachers lead their students systematically, and that repetition be used as a key tool to develop good habits, unlike Socrates’ emphasis on questioning his listeners to bring out their own ideas. He emphasized the balancing of the theoretical and practical aspects of subjects taught, among which he explicitly mentions reading, writing, mathematics, music, physical education,literature, history, and a wide range of sciences, as well as play, which he also considered important.
During the Medieval period, the idea of Perennialism was first formulated by St. Thomas Aquinas in his work "De Magistro". Perennialism holds that one should teach those things deemed to be of everlasting importance to all people everywhere, namely principles and reasoning, not just facts (which are apt to change over time), and that one should teach first about people, not machines or techniques. It was originally religious in nature, and it was only much later that a theory of secular perennialism developed.
What is the difference between the approaches of Socrates and Aristotle?
Solution
From the fourth paragraph, " He[Aristotle] proposed that teachers lead their students systematically, and that repetition be used as a key tool to develop good habits, unlike Socrates’ emphasis on questioning his listeners to bring out their own ideas."
Hence, option A is the required answer.
Why do educationists consider philosophy a 'weak and woolly’ field?
Solution
In the second paragraph, the author mentions, "Many educationalists consider it a weak and woolly field, too far removed from the practical applications of the real world to be useful."
Hence, the answer is option A.
Were Plato's beliefs about education democratic?
Solution
In the third paragraph, the author mentions, "Plato believed that talent and intelligence is not distributed genetically and thus is to be found in children born to all classes"
We are also mentioned that "...although his proposed system of selective public education for an educated minority of the population does not really follow a democratic model." implying that although his ideals were democratic in nature, his proposed model was not.
From this, we can infer that Plato's belief (at least) about education was democratic.
Hence, the answer is option B.
Why did Aquinas propose a model of education which did not lay much emphasis on facts?
Solution
In the last paragraph, the author mentions that the idea of Perennialism, formulated by Aquinas, proposes teaching things that are of everlasting importance, unlike facts, that can change over time.
Hence, the answer is option C.
For the following questions answer them individually
Choose the appropriate option for the underlined phrase
Rama told his wife, he would not mind standing and eat the dinner.
Solution
In the given sentence, we have used standing before the conjunction, and the word eat should also be in present participle form to satisfy the tense. Therefore, the correct sentence is ' Rama told his wife he would not mind standing and eating the dinner'.
Answer is option C.
The sentence is underlined in three separate parts and each one is labeled as (a), (b), (c). Read the sentence to find out whether there is an error in any underlined part. No sentence has more than one error. If you think there is no error in any part. You can choose option (d) :
If she will be promoted (a)/ she will get (b)/ a higher salary.(c)/ No error(d).
Solution
If the sentence in 'if' clause is present tense and the sentence in main clause is simple future tense. Therefore, 'if' clause statement should be in present tense. The correct sentence is 'If she is promoted, she will get a higher salary'.
Answer is option A.
Select the option that corrects the underlined part.
Sabotage came from the French saboter, which means "to clatter with wooden shoes (sabots)".
Solution
The given sentence is grammatically correct.
Answer is option A.
Choose the word that is most nearly like that expressed in following statement:
One who is extremely fond of his wife :
Solution
Uxorious - having great fondness for one's wife
Recluse: living a solitary life
Utopia: refers to an ideal place
Polygamist: refers to someone with multiple partners.
The answer is option B.
Replace the underlined portion with the answer choice that results in a sentence that is clear and precise.
The train is expected to arrive between 11 pm to 12 pm.
Solution
The preposition 'between' is always followed by a conjunction 'and'.
Answer is option B.
Find the alternative statement which meets the requirements of standard written in English.
The payment was collected by the hardworking salesman.
Solution
The given sentence is in passive voice and simple past tense. Option C is the correct answer, as the sentence is in simple past sense and the active voice of the given sentence.
Answer is option C.
Select the alternative that is the best substitute of the phrase.‘a loud. harsh. piercing cry’.
Solution
screech - to utter a high piercing cry
Answer is option D.
Choose the correct word/words to fill in the blanks.
Mr. Mehta,a biologist. spends three seasons in the US and returned with clear perceptions of that ____ and uninhabitable place.
Solution
An uninhabitable place is one where people cannot live. Hence, among the options, "deserted" is the suitable option.
Find the alternative statement which meets the requirements of standard written English.
In light of her extraordinary creative budgeting proposal, a recent poll put Susan ahead of George in the race for governor and found her to be the best candidate of the two.
Solution
'Better' is the comparative adjective we use when we compare exactly two persons. Options A and D are incorrect as best is used instead of better. Option B is incorrect as the sentence is grammatically incorrect and is not in a structured manner.
Answer is option C.
Replace the underlined portion with the answer choice that results in a sentence that is clear, precise and meets the requirements of standard written English.
Jessica Mitford wrote The American Way of Death, a best-selling book that led eventually to an official investigation of the funeral industry.
Solution
In the given sentence, adverb modifies the verb. Therefore, adverb is placed before the verb.
"Which" introduces a non-essential (extra) clause, but in this case, the phrase is essential to understanding what the book accomplished
So, "that" is a good suit here.
Answer is option C.
Choose the preferred idiom for the blanks :
I don’t know I am ready to take the test now and I will ever be ready in the future.
Solution
We use whether when there are two options available and we use if to introduce a condition.
Answer is option D.
Which one of the following statements best describes the term Social Cost of Carbon?
It is a measure, in monetary value, of the
With reference to the State Legislative Council in India, which among the following statements is / are correct?
(A) The Legislative Council is a continuing House & two-third of the members retire in two years.
(B) Members of local bodies elect one-third of the total number of members of the legislative council
(C) If a state legislative council is to be created or abolished, a resolution to that effect is to be first passed by the State legislature by a two-third majority
Choose the correct option from the options given below:
With which theatre in London. Shakespeare was associated with :
Which of the following personalities has been appointed as the head of Tehelka Panel after the much in news resignation of its chief K.Venkataswamy?
How much India needs to invest on infrastructure to become USD trillion economy by 2024-25?
Which of the following eminent personalities was the ninth monarch of Thailand from the Chakri Dynasty as Rama IX?
Which of the following is not matched?
Which of the following committee made a recommendation that election commission should be a three member body?
The language and ideals of the Preamble of Constitution of India is influenced / borrowed from which of the following constitution(s)?
(A) USA
(B) France
(C) Australia
Choose the correct answer from the options given below:
In which among the following organ, “Bowman's Capsule” is found?
Which of the following report is not matched correctly?
If another global financial crisis happens in the near future, which of the following actions/ policies are most likely to give some immunity to India?
(A) Not depending on short-term foreign borrowings.
(B) Opening up to more foreign banks.
(C) Maintaining full capital account convertibility.
Choose the correct answer using the options given below:
Which one of the following was the official mascot of Khelo India Youth Games, 2020?
To conquer and annex Peshawar and Punjab. Mahmud of Ghazni defeated?
Consider the following statements regarding to the Sattriya dance and choose the correct answer from the options given below :
(A) Sattriya is a fusion of dance, drama and music.
(B) It follows the old living tradition of Vaishnavites of Assam.
(C) It is based on various Ragas and Talas of devotional songs of Tulsidas, Kabir and Mirabai.
Which one of the following mountain range lies in between Caspian Sea and Black Sea?
The Economic Survey 2020 suggests Employee Stock Ownership for which sector?
With the range of 16000 kms. which of the following is world’s longest range intercontinental ballistic missile:
The Paithan (Jayakwadi) Hydro-electric project. completed with the help of Japan, is on the river:
L&T Technology Services, the engineering services arm of Larsen and Toubro Group. informed that it will acquire a 100 % stake in which Texas-based company?
Which of the following is the longest Indian Novel ever published in a single volume in English language:
RBI's Mega Bank Consolidation Plan of Merger of 10 banks into 4 became effective from which date?
Consider the following :
(A) Mahavir Jayanti.
(B) Buddha Purnima,
(C) Guru Nank Jayanti
Which among the following may fall in the same months of the Gregorian calendar?
If we are using the following words in a game. Which game are we playing?
Break, Cannons,Cue.In off, Jigger, Scratch
The Vijayanagara king who employed skilled archers of the Turkish clan and raised the fighting capacity of his bowmen was :
Some one legally appointed to sell off the assets of a bankrupt firm is called
Mixed Economy refers to
The term bootstrapping is often associated with
Ru Pay has been launched by
A startup defined as an entity that is headquartered in India, which was opened less than 10 years ago, and has an annual turn over less than
Who has launched the UPI-based payments app in the country by the name of ‘Tez’?
After reading the passage given below,choose the best answer to each question that follows.
What advice would I give to new entrepreneurs who need funding? Forget about your business plan and buy a lottery ticket — your chances are better. My point is that when you need venture funding no one will give any money until you already have a marketable product. In other words, funding comes just when you do not need it. A myth is that the way to start a venture is to create a great business plan, perfect your pitch, and then present this to investors, starting with venture capitalists. If that does not work, you knock on the door of angel investors. But ask any entrepreneur who has called on venture capitalists and they will probably tell you that it is almost impossible to even get calls returned. If venture capitalists do respond and you are invited to present your idea, the process will drag on for many months while you borrow more and survive on hope. If you do hit the jackpot, you are required to let the investors make many of the business decisions in exchange for an investment. To be fair, most business plans do not deserve funding. Venture capitalists receive hundreds of plans every week, and few are worth the paper they are printed on. Everyone jumps on the same new trend, or the ideas are so far out that they have no chance of success. And great ideas are not enough: it takes experienced management, excellent execution, and a receptive market. It is hard for even the best venture capitals to identify the potential successes. So what should an entrepreneur do? What all new entrepreneurs should understand is that, even if you have a realistic business plan for a great idea that can change the world, you need to develop it yourself until you can prove it. Focus on validating your idea and building it up. Raise money to get started by begging and borrowing from family and friends. And be prepared to dip into your savings and credit cards, obtain second mortgages, and perhaps look for consulting work or customer advances. There is no single recipe for developing your business idea yourself, but there are some essential ingredients. Here are some pointers: Consult widely. Share your ideas with those who have done it before. You can learn a lot from the experience of seasoned entrepreneurs, and they are much more approachable than you think. If you cannot find anyone who is excited about your idea, the chances are it is not worth being excited about. This may be time to reflect deeply and come up with another. Identify markets. Speak to anyone who can help you understand your target customers. If you can sell your concept, some customers may help you find it or agree to be a test site or a valuable reference. Customers do not usually know what they want, but they always know what they do not need. Make sure that there is a real need for your product. Start small. Your idea may be grand and have the potential to change the world, but you are only going to do this one step at a time. Look for simple solutions, test them and learn from the feedback. If you are starting a restaurant, work for some one else first. If you are creating a software product, learn by doing some consulting assignments or create some utilities. You do not have to start with the ultimate product. Watch every penny. Focus on revenue and profitability from the start. Find creative ways to earn cash by selling tactical products, prepaid licenses or royalties. Pay employees partially in stock. Look for access to free hardware or premises. And sweep the floors yourself. In short, use any methods to avoid costs. Prepare for the worst. It is going to take longer than you think. There will likely be product problems, unhappy customers, employee turnover, and lots of financial challenges. You may even fail a number of times before you achieve your goals. By learning from each success and failure alike, you increase the odds that you eventually make it. Keep your integrity. Never forget the importance of business ethics and your own values. Ethics need to be carefully sewn into the fabric of any start-up. And the only way to reach long-term success is by achieving outstanding customer satisfaction. With a lot of luck and hard work you may build a successful company that markets products customers really want. It is very likely that by this stage, you receive the phone calls from venture capitalists. This is the time to think of exit strategies and decide if you want to own a small piece of a big pie or a large piece of a small pie. (The passage taken from Book/News/Open source)
“a marketable product” as mentioned in the passage signifies:
The phrase “and few are worth the paper they are printed on” as exists in the above passage means
“Exit strategies”, as mentionedin the passage,signifies:
According to the passage which are the essential ingredients for developing a business idea?
According to the given passage whichofthe following is NOT a correct statement?
A. It is hard for even the best venture capitals to identify the potential successes.
B. Focus on validating your idea andbuildingit up.
What are the two business ideas that are shared in the passage as examples?
Which of the following statements is true as per the given passage?
Which of the following advices are given by the writer in this passage?
For the following questions answer them individually
The legal term for brandis :
Entrepreneurs are risk
Entrepreneurial intent is linked to:
What type of financing do "Angel investors" usually provide?
Market segments should compromise of customers who:
The conclusion part of the business plan will identify the
The idea and actions that explain how an entrepreneur will make his/her venture profitable and impactful is commonly referred to as
Among the barriers to entering an industry are:
Team members need a:
A word, symbol, name, or device that a business uses to identify its goods and distinguish itself from others is called a
