Which among the following is the first talking movie of India?
RPF 10 Jan 2019 Slot 1
For the following questions answer them individually
National Waterways No. 2 has been established on which river?
Sultan Azlan Shah Cup is associated with which game?
Which of the following is manufactured by heating tetrafluoroethene with a free radical or persulfate catalyst at high pressure?
Which machine is used to accelerate charged particles or ions to high energies?
Which one of the following rivers is an antecedent river?
Ural mountains and Ural river separates Europe from
The credit of proposing the first blueprint of Indian Planning is given to
Which city was selected as host city of the 2022 Winter Olympics?
When was the Constituent Assembly formed in India?
Who among the famous ruler belongs to Tuluva dynasty?
What is the potential difference that develops between the electrode and electrolyte called?
An imaginary line passing through the pole and centre of curvature of the spherical mirror or lens is called the ______________
Who made historical record in 400m running event of U20 World Championship?
Which part of the constitution deal with the trade, commerce and intercourse within the territory of India?
Under which Article of the India Constitution, the President promulgates ordinances?
Which of the following soils is also known as 'Regur soil'?
In Sanskrit, the word 'Apa' means_________
The point in the orbit of a planet, asteroid, or comet when it is farthest from the sun is called
Pre-monsoon showers occurring in Kerala and Karnataka are known as?
Vansadhara Water Disputes Tribunal involves which state?
The ideals of Liberty, Equality and Fraternity in our Preamble are taken from which constitution?
Which one of the following is an Indian research station in Antarctica?
Which one of the following places is called as Spiritual capital of India?
Which of the following was the main focus of second five year plan of India?
In angiosperms, the phenomenon of producing more than one embryo in their seed is called
_____________
Who among the following introduced the Goa Carnival in India?
The Great Dividing Range is located in which one of the following countries?
First Asian Kabaddi Championship was held in which year?
Who among the following was the founder of Pala empire?
Which substance alters the rate of chemical reactions and remains isolated chemically during the reaction?
The ease of doing business report does not measure the regulations affecting
Who among the Delhi Sultans is Known for his market control policy?
The World Happiness Report is prepared by
Which is the Supreme law making Institution in India?
The Minimum support price is announced on the basis of the recommendations of
The Right to Profess, Practice and Propagate a religion comes under which Article of the India Constitution?
_____________is an electrical static device which transfers power from primary circuit to secondary circuit without changing its frequency or phase of the signal
In Sports, Pentathlon consists of how many events?
How many players are there in a football team?
Which one of the following rivers forms a bird-foot delta?
What is the branch of biology under which the tissues are studied?
The Directive principles of State policy is borrowed from which Constitution?
Who is the Chairman of the Zonal Councils?
The food chain in which the first level starts with plants as producers and ends with carnivores as consumers at the last level is called
Whom did Iltutmish decided to nominate as his successor?
Harihara and Bukka founded which famous kingdom?
The second battle of Tarain was fought in the year?
Which refers to the process of polymerisation of amino acids to form a polypeptide?
If the President returns the Bill for reconsideration of the parliament then it is called as _____
How many straight lines are there in the given figure?
Which one of the alternative will be the next figure from the given alternatives for the given series?
Replace the question mark with an option that follows the same logic applied in the first pair X:L::M: ??
Solution
In the relation X:L::M: ??,
X Position as per alphabetical order is 24 and L position is 12. Difference in value of their positions will be 12.
M Position is 13. To get difference of 12 for M, It should be letter in Position 1 which is A. Hence, Option A is right choice.
Replace the question mark with an option that follows the same logic applied in the first pair Net:Fish::Antenna: ??
Solution
Net is used to catch fishes whereas Antenna would be used to catch signal. Hence, Option A is right choice.
In this question, two statements are given followed by two conclusions numbered i and ii. You have to assume everything in the statements to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statements.
Statements: All tins are bottles. All bottles are yellow.
Conclusions:
i) All yellows are tins.
ii) Some bottles are ti ns.
Choose the appropriate one from the following options
(A) Only conclusion i follows
(B) Only conclusion ii follows
(C) Either i or ii follows
(D) Neither i nor ii follow s
(E) Both i and ii follow.
Select the correct alternative from the following options which can form a complete square (3 out of 5 images given below) :
Solution
If we combine images of 2,3,4 , we get a square.
So, the answer would be option d)2,3,4
Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group? U, R, Y, S, W
Solution
In the group, U, R, Y, S, W,
All letters U,Y, S & W are in odd positions as per alphabetical order whereas R is in even position. Hence, R is right choice.
In a certain code language, if CRACK is coded as TEZME, then how is AMUCK coded in that language?
In this question, a passage is given followed by a statement. Read the passage carefully and judge the statement based on the given passage.
When Shah Jahan eternalised his love for Mumtaz, he must have believed that the river would be flowing forever. There was no solid ground on which the foundation could be built. So they used a well foundation, an engineering practice using deep wells to lower the water table and filling them with rocks and mortar. Finally they were capped with wooden, boxlike structures on which the mausoleum was constructed.
The Yamuna is an integral part of the Taj’s design and there was no anticipation that it would dry or become narrow. But the river has narrowed and it is polluted. The wooden foundations are likely to become brittle and might disintegrate because, as Venice, built on a wooden foundation, shows, longevity of wood increases when it is submerged in water. When the wood is not exposed to oxygen there are no microorganisms to promote decay. A dry Yamuna could promote disintegration of the wooden foundations, the corrosive effect of the polluted water adding to the decay.
Statement: To retain the structural integrity of the Taj Mahal, the river Yamuna must be restored and revived.
Choose the appropriate one from the following options
A -The statement is definitely true.
B -The statement is probably true.
C -The statement is cannot be det ermined.
D -The statement is definitely false.
Choose the correct alternative which will complete the image pattern of the given image.
Solution
So, the answer would be option a.
In this question, three statements are given followed by three conclusions. You have to assume everything in the statement to be true, then consider the given conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statements.
Statements: Some workers are teachers. Some teachers are lecturers. All lecturers are professionals.
Conclusions:
i) Some profe ssionals are teachers.
ii) Some professionals are workers.
iii) All lecturers are teachers.
In this question, three statements showing relationship have been given, which are followed by three conclusions i, ii and iii. Assuming that the given statements are true, find out which conclusion(s) is/are definitely true.
Statements: C ≤ U < E; C = O > M ≥ T; M = A > L
Conclusions:
i) E > L
ii) E > T
iii) U > O
Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group?
JNR, DHL, CGK, EIM, F KP
Solution
In given terms, In each term, 1st & 2nd letters have 3letters between them. Similarly, 2nd and 3rd letters also have 3letters between them.
Such pattern is not observed in FKP. Hence, Option A is right choice.
Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group?
Sorrow, Sad, Regret, A wful, Comic
Solution
In given list of words, All words except Comic are synonyms. Hence, Comic doesn't belong to group.
How many squares are there in the given figure?
Solution
There are 3 big squares , and inside each of them there are 4 squares.
So, the answer would be option c)15.
Read the given information carefully and answer the questions that follow.
7 professionals A, B, C, D, E, F and G live in a building which has only 2 floor s numbered I and II. Out of the 2 floors one floor has 3 houses and the other floor has 4 houses.
i) G lives in the floor which has 3 houses.
ii) The floor in which D lives is not the sam e floor in which G and B live.
iii) C and A live in different floors.
iv) There is one house between th e houses in which F and A live.
Which of the following statements is false with respect to the clues given in the question?
In this question, relationship between different elements is shown in the statement. This statement is followed by two conclusions:
Statements: M ≤ N < O ≥ P < Q
Conclusion:
i) M < P
ii) O < Q
Choose the appropriate one from the following options
(A) Only conclusion i follows
(B) Only conclusion ii follows
(C) Either i or ii follows
(D) Neither i nor ii follow s
(E) Both i and ii follow.
In a certain code language, if GIFTED is coded as TRUGVW, then how is LUCID coded in that language?
Find the next number in the series.
33, 35, 38, 43, 50, ?
Solution
Difference between n and n-1 term is a prime number. Hence, next prime number that gets added to 50 would be 11.
Therefore, Answer is 61.
If a mirror is placed on the shaded line, then which of the following options is the right image of the given figure?
Find the next number in the series.
11, 16, 32, 37, 74, ?
In this question, a passage is given followed by a statement. Read the passage carefully and judge the statement based on the given passage.
When Shah Jahan eternalised his love for Mumtaz, he must have believed that the river would be flowing forever. There was no solid ground on which the foundation could be built. So they used a well foundation, an engineering practice using deep wells to lower the water table and filling them with rocks and mortar. Finally they were capped with wooden, boxlike structures on which the mausoleum was constructed.
The Yamuna is an integral part of the Taj’s design and there was no anticipation that it would dry or become narrow. But the river has narrowed and it is polluted. The wooden foundations are likely to become brittle and might disintegrate because, as Venice, built on a wooden foundation, shows, longevity of wood increases when it is submerged in water. When the wood is not exposed to oxygen there are no microorganisms to promote decay. A dry Yamuna could promote disintegration of the wooden foundations, the corrosive effect of the polluted water adding to the decay.
Statement: Taj Mahal was built on a strong solid ground on the bank of river Yamuna.
Choose the appropriate one from the following options
A -The statement is definitely true.
B -The statement is probably true.
C -The statement is cannot be det ermined.
D -The statement is definitely false.
Replace the question mark with an option that follows the same logic applied in the first pair Eating:Restaurant::Exercise: ??
Solution
Activity we do in a restaurant would be Eating. Activity like Excersise would be done in "Gym" which is Option D. Hence, It's right choice.
How many Right angled triangles can be formed from the given figure?
Each face of the dice is printed with 6 letters A,B,C,D,E and F as shown in the given figure, What letter is printed on the face opposite to letter A?
Choose the correct water image of the given question from the given options.
A is the son-in-law of B whose son is D. D is the brother of C who is the only daughter of E. How is C related to A?
Replace the question mark with an option that follows the same logic applied in the first pair
1125:18::1356: ??
Solution
In the given question, 1125:18::1356: ??
We can see that Sum of digits of 1125 will be 9. When it's multiplied by 2, we get 18.
Similarly, Sum of number 1356 will be 15 and when it's multiplied by 2, we get 30.
Read the given information carefully and answer the questions that follow.
7 professionals A, B, C, D, E, F and G live in a building which has only 2 floor s numbered I and II. Out of the 2 floors one floor has 3 houses and the other floor has 4 houses.
i) G lives in the floor which has 3 houses.
ii) The floor in which D lives is not the sam e floor in which G and B live.
iii) C and A live in different floors.
iv) There is one house between th e houses in which F and A live.
Which of the following is the odd one out with respect to the clues given in the question?
Find the next number in the series.
12, 25, 52, 107, 218, ?
Solution
In the Given series 12, 25, 52, 107, 218, ?
We can observe the pattern $$ 12, 12 \times 2 +1 $$, $$ 25 \times 2 +2 $$, $$ 52 \times 2 + 3 $$ , $$ 107 \times 2 +4 $$,
Similarly, next term would be $$ 218 \times 2 + 5 $$ = 441
Read the given information carefully and answer the questions that follow.
7 professionals A, B, C, D, E, F and G live in a building which has only 2 floor s numbered I and II. Out of the 2 floors one floor has 3 houses and the other floor has 4 houses.
i) G lives in the floor which has 3 houses.
ii) The floor in which D lives is not the sam e floor in which G and B live.
iii) C and A live in different floors.
iv) There is one house between th e houses in which F and A live.
Which of the following options has a group of people who live in the same floor?
Pointing to a little girl, a lady said, "She is the daughter of sister of brother of my husband's sister." How is the lady related to the little girl?
Find the next number in the series.
43, 44, 48, 57, 73, ?
Solution
In the given series, 43, 44, 48, 57, 73, ?, There's another series formed by difference between two terms i.e.., 1,4,9,16,..
Next term in series would be 25 and it would be added to 73 to get next number in main series. therefore, next number is 98.
In this question, a statement is given followed by two conclusions numbered i and ii. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.
Statement: It rains every Monday. It rains today.
Conclusion:
i) It must be a rainy season.
ii) Today is Monday
Choose the appropriate one from the following options
(A) Only conclusion i follows
(B) Only conclusion ii follows
(C) Either i or ii follows
(D) Neither i nor ii follow s
(E) Both i and ii follow.
Solution
Statement: It rains every Monday. It rains today.
Conclusion:
i) It must be a rainy season. - Although it rains every Monday, it does not justify the month to be rainy.
ii) Today is Monday - It rains every Monday , but there is possibility that it might rain other day also.
None of the conclusions follow.
So, the answer would be option d)D
Read the following statements and answer the following question.
A+B means A is the mother of B
A-B means A is the father of B
A*B means A is the sister of B
A/B means A is the brother of B
In the equation W+X/Y-Z, how is X's wife related to Z?
Directions:
Study the fo llowing bar graph and answer the question that follows:
Sales of books (in thousands) from 5 (C1,C2,C3,C4 and C5) branche s of a publishing company for the two successive years 2010 and 2011.
What is the total sales in the branches C1, C3 and C5 together for both the years?(in thousands)
Solution
Total sales of branch C1, C3 and C5 for both years (in thousands)
= (68 + 75) + (85 + 76) + (82 + 72) = 458
=> Ans - (A)
A Gift box contains 10 bangles, of which average weight of first 4 bangles is 49 grams and the average weight of remaining 6 bangles is 50 grams. Find the average weight of the total bangles. (in grams)
Solution
Average weight of first 4 bangles = 49 grams
=> Weight of first 4 bangles = $$49\times4=196$$ grams
Similarly, weight of remaining 6 bangles = $$50\times6=300$$ grams
$$\therefore$$ Average weight of the total bangles = $$\frac{196+300}{10}=49.6$$ grams
=> Ans - (A)
Total area of the square Glass Piece is 1156 cm2, which is placed on the top of a table. The width between the edge of the table and the glass piece is 9 cm wide. Find the length of the table. (in cm)
Solution
ABCD is the table and the glass piece is placed inside.
Side of glass = $$\sqrt{1156}=34$$ cm
Width between glass and table = $$9$$ cm
=> Side of table = $$9+34+9=52$$ cm
=> Ans - (A)
If the radius of a circle is fifteen times, its perimeter will become how many times of its previous perimeter?
Solution
Radius of circle is directly proportional to perimeter, $$P=2\pi r$$
So, if radius is increased 15 times, hence the perimeter will become 15 times of its previous perimeter.
=> Ans - (A)
The Loss incurred by selling an article at Rs.545 is 60% of the gain attained by selling the same article at Rs.785. Find the cost price of the article. (in Rs)
Solution
Let cost price of the article = Rs. $$x$$
Loss = Rs. $$(x-545)$$
Profit = Rs. $$(785-x)$$
According to ques, => $$x-545=\frac{60}{100}(785-x)$$
=> $$5x-2725=2355-3x$$
=> $$5x+3x=2725+2355=5080$$
=> $$x=\frac{5080}{8}=635$$
$$\therefore$$ Cost price = Rs. 635
=> Ans - (C)
Vimal obtained 46 marks out of 80 in French, 84 marks out of 100 in English, 44 out of 70 in Spanish and 36 out of 50 in Japanese. What is the overall percentage obtained by him? (in %)
Solution
Marks obtained = 46 + 84 + 44 + 36 = 210
Maximum marks = 80 + 100 + 70 + 50 = 300
$$\therefore$$ Overall percentage obtained by him = $$\frac{210}{300}\times100=70\%$$
=> Ans - (B)
When a number divided by 119 it leaves a remainder 15. What will be the remainder, when the same number divided by 17.
Solution
When a number is divided by 119 it leaves a remainder 15, let the number be = $$119 + 15 = 134$$
Now, when 134 is divided by 17, => $$134=17\times7+15$$
Thus, remainder = 15
=> Ans - (D)
A sum of Rs.6800 invested under simple interest at rate of 8% p.a. If the amount after 5 years is been withdrawn and half of the total amount is been invested in Share market. Find the remaining amount. (in Rs)
Solution
Principal sum = Rs. 6800
Rate of interest = 8% and time period = 5 years
Simple interest = $$\frac{P\times R\times T}{100}$$
= $$\frac{6800\times8\times5}{100}=Rs.$$ $$2720$$
Thus, total amount after 5 years = $$Rs.$$ $$(6800+2720)=Rs.$$ $$9,520$$
$$\therefore$$ Remaining amount after half of the total amount is been invested in Share market = $$\frac{9520}{2}=Rs.$$ $$4,760$$
=> Ans - (C)
Find the value of x.
$$\frac{2}{5}(x) + \frac{3}{10}(x) - \frac{3}{5}(x) = 459$$
Solution
Expression : $$\frac{2}{5}(x) + \frac{3}{10}(x) - \frac{3}{5}(x) = 459$$
=> $$x\times(\frac{4+3-6}{10})=459$$
=> $$x=459\times\frac{10}{1}=4590$$
=> Ans - (D)
A person cycles from hostel to college at a speed of 15 kmph and reaches 2.5 minutes late. If he cycles at a speed of 20 kmph and he reaches early by 2.5 minutes. Find the distance between hostel and college. (in KM)
Solution
Let ideal time taken = $$t$$ hours
Also, speed is inversely proportional to time.
=> $$\frac{15}{20}=\frac{t-\frac{2.5}{60}}{t+\frac{2.5}{60}}$$
=> $$15t+\frac{2.5}{4}=20t-\frac{2.5}{3}$$
=> $$20t-15t=\frac{2.5}{4}+\frac{2.5}{3}$$
=> $$t=\frac{7.5+10}{60}=\frac{17.5}{60}$$
$$\therefore$$ Distance = speed $$\times$$ time
= $$15\times(\frac{17.5}{60}+\frac{2.5}{60})$$
= $$\frac{20}{4}=5$$ km
=> Ans - (A)
A bulb producing company found that 13% of the overall product is defective. If the number of non defective products is 4611, then find the number of defective products.
Solution
% of non defective bulbs = $$100-13=87\%\equiv4611$$
=> Number of defective products = $$13\%\equiv\frac{4611}{87}\times13$$
= $$53\times13=689$$
=> Ans - (C)
Simplify:
$$13.24 + 24.35 + 35.46 - 46.57 = 2\times?$$
Solution
Expression : $$13.24 + 24.35 + 35.46 - 46.57 = 2\times?$$
=> $$2x=73.05-46.57$$
=> $$x=\frac{26.48}{2}=13.24$$
=> Ans - (A)
Find the number of trailing Zeros in 243!
Solution
Number of trailing zeroes = $$\frac{243}{5}+\frac{243}{25}+\frac{243}{125}$$
= $$48+9+1=58$$ [Number will be round off to the lowest value]
=> Ans - (C)
Find the product of two numbers, whose LCM is 9167 and HCF is 1.
Solution
Product of the 2 numbers = Product of L.C.M. and H.C.F.
= $$9167\times1=9167$$
=> Ans - (C)
Directions:
Study the following bar graph and answer the question that follows:
Sales of books (in thousands) from 5 (C1,C2,C3,C4 and C5) branches of a publishing company for the two successive years 2010 and 2011.
What is the average sales of all the branches (in thousands) for the year 2010?
Solution
Total sales of all the branches (in thousands) for the year 2010
= 68 + 79 + 85 + 66 + 82 = 380
=> Average sales of all the branches (in thousands) for the year 2010 = $$\frac{380}{5}=76$$
=> Ans - (D)
Martin donates 13% of his Salary to Visually challenged organization, 12% of his Salary to Orphanage, 14% of his Salary to Physically challenged organization and 16% of his Salary to the foundations for medical help. The remaining amount of Rs.40950 of Salary has been deposited in the bank for monthly expenses. Find the amount donated to Orphanage.
Solution
If total salary is 100%, then % salary remaining after the donations = $$100-(13+12+14+16)=45\%$$
According to ques, $$45\%\equiv Rs.$$ $$40,950$$
Thus, amount donated to orphanage = $$12\%\equiv\frac{40950}{45}\times12$$
= $$910\times12=Rs.$$ $$10,920$$
=> Ans - (A)
A shopkeeper sells a product at the rate of Rs.2736 and earns a profit of 12.5%. Find the amount which is equal to half of the cost price of the product. (in Rs.)
Solution
Selling price = Rs. 2736 and profit % = 12.5%
=> Cost price = $$\frac{2736}{(100+12.5)}\times100$$
= $$24.32\times100=Rs.$$ $$2432$$
$$\therefore$$ Amount which is equal to half of the cost price of the product = $$\frac{2432}{2}=Rs.$$ $$1216$$
=> Ans - (C)
Amir shared 775 gifts among 4 kids. The share of the first kid, twice the share of second kid, thrice the share of third kid and four times the share of fourth kid are all equal. Find the sum of gifts received by 1st kid and 2nd kid.
Solution
Let share of each kid be $$a,b,c,d$$ respectively.
Then according to ques, => $$a=2b=3c=4d=k$$
=> $$a=k$$ , $$b=\frac{k}{2}$$ , $$c=\frac{k}{3}$$ , $$d=\frac{k}{4}$$
Thus, total = $$a+b+c+d=500$$
=> $$k+\frac{k}{2}+\frac{k}{3}+\frac{k}{4}=775$$
=> $$k\times(\frac{12+6+4+3}{12})=775$$
=> $$k=775\times\frac{12}{25}=372$$
$$\therefore$$ Sum of gifts received by 1st kid and 2nd kid = $$a+b=k+\frac{k}{2}=3\frac{k}{2}$$
= $$3\times\frac{372}{2}=558$$
=> Ans - (A)
A train takes 52 seconds to cross a bridge of length 204 m. if the same train takes 18 seconds to cross a sign board, find the length of the train. (in metre)
Solution
Let length of train = $$l$$ m and speed = $$s$$ m/s
Speed of train which takes 52 seconds to cross a bridge of length 204 m = $$s=\frac{204+l}{52}$$ -----------(i)
Also, $$s=\frac{l}{18}$$ --------------(ii)
Substituting value of $$s$$ from equation (ii) in (i), we get :
=> $$\frac{l}{18}=\frac{204+l}{52}$$
=> $$52l=(204\times18)+18l$$
=> $$52l-18l=34l=204\times18$$
=> $$l=\frac{204\times18}{34}=108$$
$$\therefore$$ Length of train = 108 m
=> Ans - (D)
Directions:
Study the following bar graph and answer the question that follows:
Sales of books (in thousands) from 5 (C1,C2,C3,C4 and C5) branches of a publishing company for the two successive years 2010 and 2011.
What is the ratio of the total sales of branch C2 for both years to the total sales of branch C4 for both years?
Solution
Total sales of branch C2 for both years (in thousands) = 79 + 91 = 170
Total sales of branch C4 for both years (in thousands) = 66 + 86 = 152
=> Required ratio = 170:152
=> Ans - (D)
A Person travel Equilateral triangular area with the speed of 12kmph, 24kmph and 8kmph along the planes of the triangular field. Find the average speed of the entire journey. (in Kmph)
Solution
Since, the distance travelled is equal on the three sides, hence average speed will be the harmonic mean of the speeds.
= $$\frac{3}{\frac{1}{12}+\frac{1}{24}+\frac{1}{8}}$$
= $$\frac{3}{\frac{2+1+3}{24}}$$
= $$\frac{3}{6}\times24=12$$ km/hr
=> Ans - (C)
The difference between the interest earned on the same amount invested under compound interest and simple interest at same rate of interest for 2 years is Rs. 60. If the rate of interest is 4% p.a. find the amount invested. (in Rs.)
Solution
Rate of interest = 4% and time period = 2 years
Let principal sum = Rs. $$P$$
Also, difference between compound interest and simple interest for 2 years = $$P(\frac{r}{100})^2$$
=> $$P(\frac{4}{100})^2=60$$
=> $$P=60\times\frac{10000}{16}$$
=> $$P=60\times625Rs.$$ $$37,500$$
=> Ans - (A)
Simplify:
$$196^2 \times 56 \div 14^5 \times 1021 = ?$$
Solution
Expression : $$196^2 \times 56 \div 14^5 \times 1021 = ?$$
= $$(\frac{14^4}{14^5})\times56\times1021$$
= $$\frac{1}{14}\times56\times1021$$
= $$4\times1021=4084$$
=> Ans - (B)
A Box contains three different types of old coins in the ratio 3:5:7, the values of old coins are 1 rupee, 5 rupees and 10 rupees respectively. If the total value of the coins in the box is Rs.294, find the number of coins values 10 rupees.
Solution
Let number of 1 rupee, 5 rupees and 10 rupees respectively be $$3x,5x$$ and $$7x$$
Total amount = $$(1\times3x)+(5\times5x)+(10\times7x)=2352$$
=> $$3x+25x+70x=294$$
=> $$x=\frac{294}{98}=3$$
$$\therefore$$ Number of 10 rupees coins = $$7\times3=21$$
=> Ans - (D)
What is the height of the cuboid, if the cube of diagonal 22√3 cm is melted and casted, the cuboid’s length is the same as the cube’s side and the breadth of the cuboid is 11 cm? (in cm)
Solution
Let side of cube be $$a$$ cm
=> Diagonal = $$\sqrt{a^2+a^2+a^2}=22\sqrt3$$
=> $$\sqrt3a=22\sqrt3$$
=> $$a=22$$ cm
Let height of cuboid = $$h$$ cm, length, $$l=22$$ cm and breadth, $$b=11$$ cm
According to ques, Volume of cuboid = Volume of cube
=> $$lbh=a^3$$
=> $$22\times11\times h=(22)^3$$
=> $$h=\frac{22\times22}{11}=44$$ cm
=> Ans - (B)
Station master decides that the length and the breadth of the rectangular Digital Board should be increased by 8% and decreased by 2% respectively. Find the overall change in the area.
Solution
Let the length and breadth of rectangle be 100 cm
=> Original area = $$100\times100=10000$$ $$cm^2$$
Increasing the length by 8%, => new length = $$100\times\frac{108}{100}=108$$ cm
Similarly, new breadth = $$98$$ cm
=> New area = $$108\times98=10584$$ $$cm^2$$
$$\therefore$$ Area is increased by = $$\frac{10584-10000}{10000}\times100=5.84\%$$
=> Ans - (D)
The amount triples itself under Compound interest in 4 years. In how many years will it become 27 times of it?
Solution
The amount gets tripled in 4 years.
In case of compound interest, the amount will become $$3^n$$ times in $$4n$$ years
=> Final amount = $$27=(3)^3$$
Thus, after $$4\times3=12$$ years, amount will become 27 times.
=> Ans - (A)
In support project of an English based company, there are 621 male and 621 female employees. The average productivity of all the employees is 72 calls per day. The average calls attended per male employees is 72 calls per day. What is the average of calls attended per day by a female employee.
Solution
Since, there are an equal number of male and female employees in the company, and also the average productivity is 75 calls per day which is equal to the number of calls attended by the males.
Thus, number of calls attended per day by a female employee will also equal to = 72
=> Ans - (A)
In a mixture of 56 litres, the ratio of milk and water is 3:4. If this ratio is to be 3:5, then the quantity of water to be further added is (in Litres)
Solution
Quantity of milk in 56 litres mixture = $$\frac{3}{(3+4)}\times56=24$$ litres
=> Quantity of water = $$56-24=32$$ litres
Let $$x$$ litres of water is to be added.
=> $$\frac{24}{32+x}=\frac{3}{5}$$
=> $$120=96+3x$$
=> $$3x=120-96=24$$
=> $$x=\frac{24}{3}=8$$
$$\therefore$$ Quantity of water to be further added is 8 litres.
=> Ans - (C)
Sheela walks a certain distance at (16/17)th of the usual speed and takes 5 minutes more than the usual time. Find the usual time taken. (in minutes)
Solution
Let usual speed = $$17$$ m/min and usual time taken = $$t$$ min
=> New speed = $$16$$ m/min and new time = $$(t+5)$$ min
Also, speed is inversely proportional to time.
=> $$\frac{17}{16}=\frac{t+5}{t}$$
=> $$17t=16t+80$$
=> $$17t-16t=t=80$$
$$\therefore$$ Usual time taken = 80 minutes
=> Ans - (C)
The salary ratio of Hamid, Celement and Ganesh is 3:5:7, if Ganesh is getting Rs.860 more than Hamid. What is the salary of Celement? (in Rs.)
Solution
Let salary of Hamid, Celement and Ganesh be $$3x,5x$$ and $$7x$$ respectively.
According to ques, => $$7x-3x=860$$
=> $$x=\frac{860}{4}=215$$
$$\therefore$$ Celement's salary = $$5\times215=Rs.$$ $$1075$$
=> Ans - (A)
Find the value of x.
$$\sqrt{169} \div 13 + \sqrt{196} = 3\times x$$
Solution
Expression : $$\sqrt{169} \div 13 + \sqrt{196} = 3\times x$$
= $$\frac{13}{13}+14=3x$$
=> $$x=\frac{15}{3}=5$$
=> Ans - (A)
The shopkeeper added 42% of the cost price as mark up and then he gives a discount of same 42% on the marked price for a sale, then what will be the overall profit or loss percentage?
Solution
Let cost price = Rs. 100
=> Marked price = $$100\times(\frac{142}{100})=Rs.$$ $$142$$
Thus, selling price after discount of 42% = $$142\times\frac{100-42}{100}=Rs.$$ $$82.36$$
$$\therefore$$ Loss % = $$\frac{100-82.36}{100}\times100=17.64\%$$
=> Ans - (A)
The average weight of 63 Notebooks in a box is 6.3 kg. When a new Notebook is added to the box the average goes to 6.4 kg. Find the weight of the new Notebook. (in Kg)
Solution
Average weight of 63 Notebooks in a box = 6.3 kg
=> Total weight = $$63\times6.3=396.9$$ kg
Let weight of new book = $$x$$ kg
=> New average = $$\frac{396.9+x}{64}=6.4$$
=> $$396.9+x=64\times6.4=409.6$$
=> $$x=409.6-396.9=12.7$$ kg
=> Ans - (B)
How many ways that 675 mobiles can be distributed equally to the students in the class?
