The features of Fundamental Rights in Indian Constitution is borrowed from which Constitution?
RPF 16 Jan 2019
For the following questions answer them individually
As per Indian Constitution, can a new State be formed in India?
Which term refers to suspension of work during a sitting in a Parliament?
Which of the following cities is known for its world famous Meenakshi temple?
What are fundamental rights?
What is the maximum strength of the Lok Sabha?
The Public Distribution System was restructured as the Targeted Public Distribution System in
Transpiration in leaves occurs mainly through ____________
42nd Amendment Act came into effect on which day?
Which one of the following is a landlocked country in South America?
A/An ________________________ is a surface with a constant value of potential at all points on the surface
The Moroccan traveller Ibn Batuta was the contemporary of which ruler?
National Highway 2 runs from Delhi to
What is the process of converting a precipitate into colloidal sol by shaking it with dispersion medium in the presence of a small amount of electrolyte?
Who gave the well known statement 'Swaraj is my birth right and I will have it'?
Equator passes through which one of the following nations?
What does the term 'sine die' in adjournment sine die refer to?
In which year, Women were allowed to compete in Olympics?
Mid-latitude grasslands of Eurasia are called as
In Volleyball game, Referee showing Red and Yellow card jointly indicates
What is the original name of Buddha?
The term "Crouch Start" is associated with which event?
In which year the National Development Council was set up?
Among the following, Which one is associated with Women's Badminton Games?
The headquarters of Marylebone Cricket Club (M.C.C) is located in
Who among the following first deciphered the script of Ashoka?
The most important form of energy currency in living systems is the bond energy in a chemical called
The Arabic word Kharif means
The visible surface of the Sun is called
What is the period of a budget session in a year?
Reporting and monitoring the procurement operations of Wheat, Paddy and Coarse grains in the country on a daily basis has been evolved by
The excess of total government spending above the national income is known as
Who authored the famous KitabulRehla?
Which of the following is a Milch breed cattle?
How many languages are declared as classical languages in India?
How many members are there in the Rajya Sabha at present?
Which is the substance that enhances the activity of a catalyst?
Muziri, a famous Chera port is situated in which of the following states?
What is the minimum energy required by an electron to escape from the surface of a metal called?
Which British government reform gave provincial autonomy?
Zend Avesta is the sacred text of __________
Who is known as the father of White Revolution in India?
Professor Guru Dutt Sondhi contributed to the foundation of which organisation?
The tertiary coal is also known as the
What is the number of collisions per second per unit volume of the reaction mixture Known as?
In which year the name of the Union Territory of Pondicherry was changed to Puducherry?
Which port has the largest shipyard in India?
Malfunctioning of kidneys can lead to accumulation of urea in blood, a condition called____________
The phenomenon of increase in amplitude when the driving force is close to the natural frequency of the oscillator is called
Which of the following ports is located at the head of the Gulf of Kutch?
Replace the question mark with an option that follows the same logic applied in the first pair
Echo:Sound::Reflection : ??
Solution
Echo is a terminology that's related to Sound, whereas Reflection is related to terminology in Light.
Find the next number in the series.
18, 43, 93, 193, 393, ?
Solution
Given series is 18, 43, 93, 193, 393, ?
Here, difference of terms is 25,50,100,200,.. Therefore next term in difference would be 400. Adding it to 393, we get 793.
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: All tables are chairs. Some chairs are benches. All benches are ladders.
Conclusions:
i) Some table s are benches
ii) Some tables are ladders
iii) Some ladders are chairs
Solution
The relation between tables , chairs , benches and ladders can be represented by the following diagram.
Some ladders are chairs.
So, the answer would be option b) only iii
Anu is the daughterinlaw of Asha and sisterinlaw of Vinu who is unmarried. Dani is the father of Vimal who is the only brother of Vinu. How is Dani related to Anu?
Solution
So, the answer would be option c)Father in law
Choose the correct alternative which will complete the image pattern of the given image.
Solution
So, the answer would be option d.
Find the next number in the series.
37, 48, 61, 78, 97, ?
Solution
In the given series 37, 48, 61, 78, 97, ?
We can observe that difference of terms in given series is another series of prime numbers 11,13,17,19,.. Therefore, next prime number would be 23.
Hence, next number would be 97+23=120
Replace the question mark with an option that follows the same logic applied in the first pair 1500:36::5009: ??
Solution
In the relation,1500:36::5009: ??
We can observe that sum of all digits in 1500 is 6 and it's square is 36. So, Sum of all digits in number 5009 will be 14 and it's square will be 196.
Hence, Option A is right choice.
Find the next number in the series.
17, 34, 37, 74, 77, ?
Solution
In the given series, 17, 34, 37, 74, 77, ?
Numbers in even position are result when it's previous number is multiplied by 2. Therefore, Next even position number will be a result of $$ 77 \times 2 $$ = 154
Replace the question mark with an option that follows the same logic applied in the first pair T:M::I: ??
Solution
In the relation T:M::I: ??,
As per alphabetical order , Position of letter T is 20 & Position of letter M is 13. Difference of their position values is 7.
Following same logic, Position of letter I is 9. To maintain difference of 7, Letter B would be correct answer. Hence, Option B is right choice.
In a certain code language, if SERVE is coded as HVIEV, then how is RIVAL coded in that language?
Solution
If we observe the code language when SERVE is coded as HVIEV, We can observe that first letter in alphabetical order is equal to last letter in alphabetical order and so on.
It means A = Z , B = Y , C = X, ...
Following this Logic, RIVAL would be coded as IREZO
In a certain code language, if BUILD is coded as CWJNE, then how is CALIF coded in that language?
Solution
In a certain code language, BUILD is coded as CWJNE.
Here, we can observe that, B is replaced with it's next letter C. U is replaced with W which is 2nd letter from U's position in alphabetical order. Similar pattern is followed for next each pair of letters in the word.
Similarly, CALIF would be coded as DCMKG
Select the correct alternative from the following options which can form a complete square (3 out of 5 images given below) :
Solution
So, the answer would be option a)1,4,5
Replace the question mark with an option that follows the same logic applied in the first pair Helmet:Rider::Shield: ??
Solution
Helmet is used by driver for his safety , similarly Shield is used by soldier for his safety.
So, the answer would be option b) Soldier
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?
WTQ, ROL, PMJ, XTP , SPM
Solution
In the given group of terms, WTQ, ROL, PMJ, XTP , SPM
Pattern observed is , As per alphabetical order in reverse chronology, W & T have two letters between them , T & Q have two letters between them. Same pattern is observed in all except XTP term.
Hence, Option B is right choice.
Which one of the alternative will be the next figure from the given alternatives for the given series?
Solution
The pattern is both C and $ sign are moving in clockwise direction and they are covering half of the side in every next figure.
So, the answer would be option b.
Each face of the dice is printed with 6 letters P, Q, R, S, T and U as shown in the given figure. What letter is printed on the face opposite to letter P?
If a mirror is placed on the shaded line, then which of the following options is the right image of the given figure?
Solution
Share
In mirror image, right most object appear at left and vice versa.
So, the answer would be option c.
Read the given information carefully and answer the questions that follow.
4 best friends Suji, Biju, Jai and Shyam live in four different houses that ar e numbered 1, 2, 3 and 4 close to one another in a same row. They are into different professions viz.,, HR, Auditor, Manager and Developer and each of them has different hobbies viz., Reading, Listening, Eating and Shopping.
i) Auditor, who likes reading doesn't live in house numbered 4.
ii) One who like shopping lives in house numbered 3.
iii) Biju lives in house numbered 2 and likes eating.
iv) HR likes neither shopping nor Listening.
v) Shyam is the manager who lives in house numbered 4.
vi) Jai is not the auditor.
Who loves Reading?
Solution
Using the clauses , represent the information in tabular format.
Friend House no Profession Hobby
1
Biju 2 Eating
3 Shopping
Shyam 4 Manager
Now ,
1. It is given , auditor likes reading. In house no 4 , manager lives , so he can not like reading. He must like Listening.
2. So, for house numbered 1 , profession will be auditor and hobby will be reading.
3. Jai is not auditor , so he must live in house 3. and suji should be auditor.
4. Given HR does not like shopping and listening ,so he should live in house 2 , and in house 3 developer should live.
Putting all this information in table :
Friend House no Profession Hobby
Suji 1 Auditor Reading
Biju 2 HR Eating
Jai 3 Developer Shopping
Shyam 4 Manager Listening
So, the answer would be option c)Suji
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 doors are windows. All windows are walls.
Conclusions:
i) All doors are walls.
ii) Some walls are windows.
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
Represent the relation between doors , windows and walls can be represented by the following diagram.
Both the conclusions follow. So, the answer would be option a)E
Pointing to a old man, a man said, "He is the brother of father of my brother's sister." How is the man related to the old man?
Solution
Draw the family diagram.
So, the answer would be option b)Nephew
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?
L, H, N, X, Y
Solution
As per alphabetical order, Positions of 4 letters L, H, N & X are even numbers whereas Position of letter Y is odd number. Hence, Y doesn't belong to group.
How many straight lines are there in the given figure?
Solution
Number of small lines as labelled above are 9.
Number of combined lines are 1+2 , 8+9 , 6+7 --> 3 lines.
Total number of lines are 9+3 = 12.
Read the given information carefully and answer the questions that follow.
4 best friends Suji, Biju, Jai and Shyam live in four different houses that ar e numbered 1, 2, 3 and 4 close to one another in a same row. They are into different professions viz.,, HR, Auditor, Manager and Developer and each of them has different hobbies viz., Reading, Listening, Eating and Shopping.
i) Auditor, who likes reading doesn't live in house numbered 4.
ii) One who like shopping lives in house numbered 3.
iii) Biju lives in house numbered 2 and likes eating.
iv) HR likes neither shopping nor Listening.
v) Shyam is the manager who lives in house numbered 4.
vi) Jai is not the auditor.
Which of the following statements is true with respect to the arrangement?
Solution
Using the clauses , represent the information in tabular format.
Friend House no Profession Hobby
1
Biju 2 Eating
3 Shopping
Shyam 4 Manager
Now ,
1. It is given , auditor likes reading. In house no 4 , manager lives , so he can not like reading. He must like Listening.
2. So, for house numbered 1 , profession will be auditor and hobby will be reading.
3. Jai is not auditor , so he must live in house 3. and suji should be auditor.
4. Given HR does not like shopping and listening ,so he should live in house 2 , and in house 3 developer should live.
Putting all this information in table :
Friend House no Profession Hobby
Suji 1 Auditor Reading
Biju 2 HR Eating
Jai 3 Developer Shopping
Shyam 4 Manager Listening
So, the answer would be option c)Developer likes Shopping
How many squares are there in the given figure?
Solution
All the squares are highlighted in red , yellow and green.
So, the answer would be option b)7.
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: Drinking at least 2 litres of water daily will keep the blood purified.
Conclusion:
i) People who drink less than 2 litres of water have impure blood.
ii) It is advisable to drink more than 2 litres of water daily.
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: Drinking at least 2 litres of water daily will keep the blood purified.
Conclusion:
i) People who drink less than 2 litres of water have impure blood. - It is not necessary that only having 2 litres will keep blood purified, there might be other means for that. So this conclusion does not follow.
ii) It is advisable to drink more than 2 litres of water daily. - Since drinking more water helps keeping blood purified , it is advisable.So, this conclusion follows.
So, the answer would be option b)B
Read the given information carefully and answer the questions that follow.
4 best friends Suji, Biju, Jai and Shyam live in four different houses that ar e numbered 1, 2, 3 and 4 close to one another in a same row. They are into different professions viz.,, HR, Auditor, Manager and Developer and each of them has different hobbies viz., Reading, Listening, Eating and Shopping.
i) Auditor, who likes reading doesn't live in house numbered 4.
ii) One who like shopping lives in house numbered 3.
iii) Biju lives in house numbered 2 and likes eating.
iv) HR likes neither shopping nor Listening.
v) Shyam is the manager who lives in house numbered 4.
vi) Jai is not the auditor.
Who lives in house numbered 3?
Solution
Using the clauses , represent the information in tabular format.
Friend House no Profession Hobby
1
Biju 2 Eating
3 Shopping
Shyam 4 Manager
Now ,
1. It is given , auditor likes reading. In house no 4 , manager lives , so he can not like reading. He must like Listening.
2. So, for house numbered 1 , profession will be auditor and hobby will be reading.
3. Jai is not auditor , so he must live in house 3. and suji should be auditor.
4. Given HR does not like shopping and listening ,so he should live in house 2 , and in house 3 developer should live.
Putting all this information in table :
Friend House no Profession Hobby
Suji 1 Auditor Reading
Biju 2 HR Eating
Jai 3 Developer Shopping
Shyam 4 Manager Listening
So, the answer would be option a)Developer
In this question, a passage is given followed by a statement. Read the passage carefully and judge the statement based on the given passage.
The strong olfactory sense elephants ar e known for has come as a blessing in disguise for the police in curbing illicit liquor trade in Uttarakhand’s Udham SinghNagar district. The animals find lahan, the substance used for brewing liquor, hidden in forests of Khatima in the district, and destroy them. Manufacturers brew it near nullahsdeep inside the forests or near the villages to avoid police raids as flowing water is required for fermentation.
Lahan is sealed in barrels or polythene bags and buried for four to five days for fermentation. Elephants reach the spot by smelling the substance and destroy the barrels to consume the liquor, said Yogesh Upadhaya, inspector, Khatima police station. He said some traders keep the barrels on scaffoldings on trees but they are easily spotted by the police. “We have destroyed thousand litres of lahan in the past 23 months. They were stored in barrels on scaffoldings,” said Yogesh Upadhyay, inspector. “Miscreants place barrels of lahan on trees to keep them away from elephants. Elephants find them and destroy the barrels to consume the substance, causing heavy loss to the manufacturers,” he added. A villager, said: “The liquor is sold for Rs 80 to 100 per litre in villages. Since it is cheaper than liquor available in the market, people buy it even after knowing its impact on health. Elephants are playing vital role in curbing the trade.”
Statement: Lahan is one of the costliest liquor that is available.
Choose the appropriate one from the following options
A The statement is definitely true.
B The statement is probably true.
C The statement cannot be determ ined.
D The statement is definitely false.
Solution
It is clearly mentioned in the paragraph - “The liquor is sold for Rs 80 to 100 per litre in villages. Since it is cheaper than liquor available in the market, people buy it even after knowing its impact on health. So , statement is definitely false.
So, the answer would be option d)D
In this question, a passage is given followed by a statement. Read the passage carefully and judge the statement based on the given passage.
The strong olfactory sense elephants ar e known for has come as a blessing in disguise for the police in curbing illicit liquor trade in Uttarakhand’s Udham SinghNagar district. The animals find lahan, the substance used for brewing liquor, hidden in forests of Khatima in the district, and destroy them. Manufacturers brew it near nullahsdeep inside the forests or near the villages to avoid police raids as flowing water is required for fermentation.
Lahan is sealed in barrels or polythene bags and buried for four to five days for fermentation. Elephants reach the spot by smelling the substance and destroy the barrels to consume the liquor, said Yogesh Upadhaya, inspector, Khatima police station. He said some traders keep the barrels on scaffoldings on trees but they are easily spotted by the police. “We have destroyed thousand litres of lahan in the past 23 months. They were stored in barrels on scaffoldings,” said Yogesh Upadhyay, inspector. “Miscreants place barrels of lahan on trees to keep them away from elephants. Elephants find them and destroy the barrels to consume the substance, causing heavy loss to the manufacturers,” he added. A villager, said: “The liquor is sold for Rs 80 to 100 per litre in villages. Since it is cheaper than liquor available in the market, people buy it even after knowing its impact on health. Elephants are playing vital role in curbing the trade.”
Statement: Police officially use elephants to stop illicit liquor trade.
Choose the appropriate one from the following options
A The statement is definitely true.
B The statement is probably true.
C The statement cannot be determined.
D The statement is definitely false.
Solution
Although elephants are playing a pivotal role in curbing the trade of liquor , it is not necessary that elephants are officially hired for this purpose. Due to their strong sense of smell , they reach the spot.The statement cannot be determined.
So, the answer would be option d) C
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: B > A = C; C ≥ K < I; I ≤ N < G
Conclusions:
i) B > K
ii) C < N
iii) K < G
Solution
Simplify all relations,
1. B > A
2. B > C
3. A = C;
4.C ≥ K
5. K< I
6. I ≤ N < G
From these relations ,
B > C > K
K < I ≤ N < G
So, the answer would be option a)Only i) and iii)
Choose the correct water image of the given question from the given options.
Solution
In water image alphabets will be inverted.
So, the answer would be option c.
How many Right angled triangles can be formed from the given figure?
Solution
All the right angles are highlighted.
So, the answer would be option c)8
Find the next number in the series.
16, 35, 67, 137, 271, ?
Solution
We can observe below pattern in the given series,
16, $$ 16 \times 2 + 3 $$, $$ 35 \times 2 - 3 $$, $$ 67 \times 2 + 3 $$, ...
Next number would be $$ 271 \times 2 + 3 $$ = 545
In this question, relationship between different elements is shown in the statement. This statement is followed by two conclusions:
Statements: A < N ≤ C = I < E < T
Conclusions:
i) A < I
ii) N < I
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
Statements: A < N ≤ C = I < E < T
Conclusions:
i) A < I -> A<N<I
ii) N < I -> N=C=I , so it is not necessary N < I
So, the answer would be option d)A
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?
Withstand, Resist, Fight, Oppose, Surrender
Solution
Withstand, Resist, Fight, Oppose carry similar meanings and are kind of synonyms whereas Surrender carries a different meaning. Hence, it doesn't belong to group.
Read the following statements and answer the following question.
A4B means A is the mother of B
A3B means A is the father of B
A5B means A is the son of B
A7B means A is the daughter of B
Which of the following equation shows 'P is the mother in law of S'?
Solution
Given,
A4B means A is the mother of B
A3B means A is the father of B
A5B means A is the son of B
A7B means A is the daughter of B
P is the mother of Q is the mother of R is the daughter of S
So, the answer would be option a) P4Q4R7S
Total area of the square Glass Piece is 1369cm2, which is placed on the top of a table. The width between the edge of the table and the edge of the glass piece is 11cm wide. Find the length of the table. (in cm)
Solution
ABCD is the table and the glass piece is placed inside.
Side of glass = $$\sqrt{1369}=37$$ cm
Width between glass and table = $$11$$ cm
=> Side of table = $$11+37+11=59$$ cm
=> Ans - (A)
A train of length 165 m travels at a speed of 54kmph crosses a bridge in 33 seconds. Find the length of the bridge. (in m)
Solution
Speed of train = 54 kmph = $$54\times\frac{5}{18}=15$$ m/s
Let length of bridge = $$x$$ m
Using, speed = distance/time
=> $$15=\frac{165+x}{33}$$
=> $$165+x=33\times15=495$$
=> $$x=495-165=330$$ m
=> Ans - (D)
The number of employees working in a farm is increased by 17% and the wages per head are decreased by 17%. If it results in x% decrease in total wages, then find the value of x.
Solution
Let number of employees in the firm initially = 100 and wages per head = Rs. 100
=> Total wages = $$100\times100=Rs.$$ $$10,000$$
Number of employees after increase of 17% = $$100+\frac{17}{100}\times100=117$$
Similarly, new wages per head = $$Rs.$$ $$83$$
=> New wages = $$83\times117=Rs.$$ $$9711$$
$$\therefore$$ Decrease in total wages = $$\frac{10000-9711}{10000}\times100=2.89\%$$
=> Ans - (C)
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.2646, 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 = $$(1\times3x)+(5\times5x)+(10\times7x)=2646$$
=> $$3x+25x+70x=2646$$
=> $$x=\frac{2646}{98}=27$$
$$\therefore$$ Number of 10 rupees coins = $$7\times27=189$$
=> Ans - (B)
The amount triples itself under Compound interest in 7 years. In how many years will it become 27 times of it? (in years)
Solution
The amount gets tripled in 7 years.
In case of compound interest, the amount will become $$3^n$$ times in $$7n$$ years
=> Final amount = $$27=(3)^3$$
Thus, after $$7\times3=21$$ years, amount will become 27 times.
=> Ans - (A)
Directions:
The bar graph below shows the data of the production of paper (in thousands) by three different companies X, Y and Z over the years (20012005) The average production for the five years was minimum for which company?
Solution
Total production of company :
X = 75 + 81 + 78 + 87 + 85 = 406
Y = 80 + 85 + 83 + 92 + 89 = 429
Z = 83 + 89 + 85 + 93 + 91 = 441
Thus, average production for the five years was minimum for company X.
=> Ans - (A)
In a support project of an English based company, there are 217 male and 217 female employees. The average productivity of all the employees is 81 calls per day. The average calls attended by a male employee is 81 calls per day. What is the average 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 81 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 = 81
=> Ans - (B)
A bulb producing company found that 19% of the overall product is defective. If the number of non defective products is 2187 then find the number of defective products.
Solution
% of non defective bulbs = $$100-19=81\%\equiv2187$$
=> Number of defective products = $$19\%\equiv\frac{2187}{81}\times19$$
= $$27\times19=513$$
=> Ans - (C)
What will be the remainder when 81815 is divided by 9?
Solution
Sum of digits of 81815 = 8+1+8+1+5=23
Now, when 23 is divided by 9, => $$23=9\times2+5$$
Thus, remainder = 5
=> Ans - (B)
Find the fraction of X, X = 0.6755555…
Solution
Given : $$x=0.675555....$$
=> $$100x=67.5555.....$$ ------------(i)
=> $$1000x=675.5555.....$$ ------------(ii)
Subtracting equation (i) from (ii), we get :
=> $$900x=675.5555-67.5555=608$$
=> $$x=\frac{608}{900}$$
=> Ans - (C)
A man completes a journey in 8.5 hours. He travels first half of the journey at the rate of 20 kmph and second half at the rate of 30 kmph. Find the total distance of the entire journey. (in km)
Solution
Let total distance = $$2d$$ km
Using, time = distance/speed
=> $$\frac{d}{20}+\frac{d}{30}=8.5$$
=> $$\frac{30d+20d}{600}=8.5$$
=> $$5d=8.5\times60$$
=> $$d=8.5\times12=102$$
$$\therefore$$ Total distance of the entire journey = $$2\times102=204$$ km
=> Ans - (B)
A person cycles from hostel to college at a speed of 20 kmph and reaches 9.5 minutes late. If he cycles at a speed of 24 kmph and reaches early by 9.5 minutes, find the distance between hostel and college. (in km)
Solution
Let ideal time taken = $$t$$ hours
Also, speed is inversely proportional to time.
=> $$\frac{20}{24}=\frac{t-\frac{9.5}{60}}{t+\frac{9.5}{60}}$$
=> $$5t+\frac{9.5}{12}=6t-\frac{9.5}{10}$$
=> $$6t-5t=\frac{9.5}{12}+\frac{9.5}{10}$$
=> $$t=\frac{47.5+57}{60}=\frac{104.5}{60}$$
$$\therefore$$ Distance = speed $$\times$$ time
= $$20\times(\frac{104.5}{60}+\frac{9.5}{60})$$
= $$\frac{114}{3}=38$$ km
=> Ans - (C)
Simplify:
$$((7^2)^3 \div 49^2) \times ([32 - 20] \div 4)$$
Solution
Expression : $$((7^2)^3 \div 49^2) \times ([32 - 20] \div 4)$$
= $$7^{(6-4)}\times\frac{12}{4}$$
= $$49\times3=147$$
=> Ans - (D)
A Gift box contains 10 bangles, of which average weight of first 4 bangles is 74 grams and the average weight of remaning 6 bangles is 75 grams. Find the average weight of the total bangles.(in grams)
Solution
Average weight of first 4 bangles = 74 grams
=> Weight of first 4 bangles = $$74\times4=296$$ grams
Similarly, weight of remaining 6 bangles = $$75\times6=450$$ grams
$$\therefore$$ Average weight of the total bangles = $$\frac{296+450}{10}=74.6$$ grams
=> Ans - (B)
The average weight of 93 Notebook in a box is 9.3 kg. When a new Notebook is added to the box the average goes to 9.4 kg. Find the weight of the new Notebook.(in kg)
Solution
Average weight of 93 Notebooks in a box = 9.3 kg
=> Total weight = $$93\times9.3=864.9$$ kg
Let weight of new book = $$x$$ kg
=> New average = $$\frac{864.9+x}{94}=9.4$$
=> $$864.9+x=94\times9.4=883.6$$
=> $$x=883.6-864.9=18.7$$ kg
=> Ans - (A)
Directions:
The bar graph below shows the data of the production of paper (in thousands) by three different companies X, Y and Z over the years (2001-2005) What is the difference between the production of company Z in 2001 and company Y in 2002? (in thousands)
Solution
Production of company Z in 2001 (in thousands) = 83
Production of company Y in 2002 (in thousands) = 86
=> Required difference (in thousands) = $$86-83=3$$
=> Ans - (B)
Which of the following number is divisible by 24?
Solution
Numbers which are divisible by 24, must first be divisible by 3 and also by 8. Checking divisibility by 8.
153228, 158322 and 153822 are not divisible by 8, so only third number is divisible by 3 and 8.
Thus, 158232 is divisible by 24.
=> Ans - (C)
Anil obtained 76 marks out of 120 in French, 92 marks out of 130 in English, 34 out of 70 in Spanish and 38 out of 80 in Japanese. What is the overall percentage obtained by him?(in %)
Solution
Marks obtained = 76 + 92 + 34 + 38 = 240
Maximum marks = 120 + 130 + 70 + 80 = 400
$$\therefore$$ Overall percentage obtained by him = $$\frac{240}{400}\times100=60\%$$
=> Ans - (A)
Find the value of X:
$$\sqrt{(700 - x)} = \sqrt{(689 - \sqrt{169})}$$
Solution
Expression : $$\sqrt{(700 - x)} = \sqrt{(689 - \sqrt{169})}$$
=> $$(700-x)=689-13=676$$
=> $$x=700-676=24$$
=> Ans - (D)
Directions:
The bar graph below shows the data of the production of paper (in thousands) by three different companies X, Y and Z over the years (20012005)
What is the percentage increase in the production of the company X from 2002 to 2005? (in % round off to 2 decimal places)
Solution
Production of the company X in 2002 = 81
Production of the company X in 2005 = 84
=> Increase in production = $$\frac{84-81}{81}\times100\approx3.70\%$$
=> Ans - (B)
Simplify:
$$\sqrt{(1057 - \sqrt{(1109 - \sqrt{(450 - \sqrt{2500})})})}$$
Solution
Expression : $$\sqrt{(1057 - \sqrt{(1109 - \sqrt{(450 - \sqrt{2500})})})}$$
= $$\sqrt{(1057 - \sqrt{(1109 - \sqrt{(450 - 50)})})}$$
= $$\sqrt{(1057 - \sqrt{(1109 - \sqrt{400})})}$$
= $$\sqrt{(1057 - \sqrt{(1109 - 20)})}$$
= $$\sqrt{(1057 - \sqrt{(1089})}$$
= $$\sqrt{1057 - 33}=\sqrt{1024}=32$$
=> Ans - (B)
In a mixture of 189 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 189 litres mixture = $$\frac{3}{(3+4)}\times189=81$$ litres
=> Quantity of water = $$189-81=108$$ litres
Let $$x$$ litres of water is to be added.
=> $$\frac{81}{108+x}=\frac{3}{5}$$
=> $$405=324+3x$$
=> $$3x=405-324=81$$
=> $$x=\frac{81}{3}=27$$
$$\therefore$$ Quantity of water to be further added is 27 litres.
=> Ans - (D)
Anitha walks a certain distance at (9/10)th of her usual speed and takes 27 minutes more than the usual time. Find the usual time taken. (in minutes)
Solution
Let usual speed = $$10$$ m/min and usual time taken = $$t$$ min
=> New speed = $$9$$ m/min and new time = $$(t+27)$$ min
Also, speed is inversely proportional to time.
=> $$\frac{10}{9}=\frac{t+27}{t}$$
=> $$10t=9t+243$$
=> $$10t-9t=t=243$$
$$\therefore$$ Usual time taken = 243 minutes
=> Ans - (A)
What is the height of the cuboid, if the cube of diagonal 47√3cm is melted and casted, the cuboid’s length is the same as the cube’s side and the breadth of the cuboid is 23.5cm? (in cm)
Solution
Let side of cube be $$a$$ cm
=> Diagonal = $$\sqrt{a^2+a^2+a^2}=47\sqrt3$$
=> $$\sqrt3a=47\sqrt3$$
=> $$a=47$$ cm
Let height of cuboid = $$h$$ cm, length, $$l=47$$ cm and breadth, $$b=23.5$$ cm
According to ques, Volume of cuboid = Volume of cube
=> $$lbh=a^3$$
=> $$47\times23.5\times h=(47)^3$$
=> $$h=\frac{47\times47}{23.5}=94$$ cm
=> Ans - (A)
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.234. If the rate of interest is 6% p.a. then find the amount invested. (in Rs.)
Solution
Rate of interest = 6% and time period = 2 years
Let principal sum = Rs. $$P$$
Also, difference between compound interest and simple interest for 2 years = $$P(\frac{r}{100})^2$$
=> $$P(\frac{6}{100})^2=234$$
=> $$P=234\times\frac{10000}{36}$$
=> $$P=Rs.$$ $$65,000$$
=> Ans - (D)
LCM of two numbers is 63 and their HCF is 21. Given that one number is 21, find the second number.
Solution
Since, HCF X LCM = PRODUCT OF NUMBERS
LET THE OTHER NUMBER BE X.
SO, 21 X 63 = 21 * X
X = 63 (ANS)
Simplify:
$$166 - [8^2 - 7^2 + \sqrt{(72 - 64 \div 8[18 \times 18 \div 324])}]$$
Solution
$$166 - [8^2 - 7^2 + \sqrt{(72 - 64 \div 8[18 \times 18 \div 324])}]$$
HERE, WE WILL USE BODMAS RULE. Bracket, Of, Division, Multiplication, Addition and Subtraction. It explains the order of operations to solve an expression.
$$166-[8^2 - 7^2 + \sqrt{(72 - 64 \div 8[18 \times 1/18])}]$$ { solving 18/324 = 1/18}
$$166-[8^2 - 7^2 + \sqrt{(72 - 64 \div 8[1])}]$$ { solving 18*1/18}
$$166-[8^2 - 7^2 + \sqrt{(72 - 64 \div 8[1])}]$$ {solving 64/8}
$$166-[8^2 - 7^2 + \sqrt{(72 - 8)}]$$ {solving 64/8}
$$166-[8^2 - 7^2 + \sqrt{(64)}]$$ {solving 72-8}
$$166-[8^2 - 7^2 + 8]$$ {solving sqrt64}
$$166-[64-49+8]$$ {solving 72-8}
$$166-[23]$$ {solving bracket}
$$166-23$$
$$143$$
The selling price of the article is Rs.1,980 after a successive discounts of 10% and 20%. If the cost price is 50% of the marked price, then what is the cost price. (in Rs)
Solution
By formula, SP = MP[1-D%/100} S.P. = SELLING PRICE AND M.P. = MARKED PRICE AND C.P. = COST PRICE
SP = MP [1-10/100][1-20/100]
SP = MP x 9/10 X 4/5
SP = 36 MP/50
MP = SP x 50/36
MP = 1980 x 50/36 = 2750
CP = MP/2 (GIVEN)
CP = RS. 2750/2 = RS. 1375
A sum of Rs.8,400 invested under simple interest at rate of 11% 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 remainingamount. (in Rs)
Solution
AMOUNT(A) = PRINCIPAL(P) + SIMPLE INTEREST(SI)
A = P + PRT/100
A = 8400 + 8400*11*5/100 = RS. 13020
AMOUNT REINVESTED = A/2 (GIVEN)
AMOUNT REINVESTED = 13020/2 = RS. 6510
Martin donates 13% of his Salary to organization for Visually challenged, 12% of his Salary toorphanage, 14% of his Salary to organization for Physically challenged and 16% of his Salary to the foundations for medical help. If the remaining amount Rs.19575 of Salary has been deposited in the bank for monthly expenses. Find the amount donated to organization for Visually challenged?(in Rs.)
Solution
LET TOTAL SALARY BE S.
SALARY GIVEN TO :
VISUALLY CHALLENGED = 13S/100
ORPHANAGE = 12S/100
PHYSICALLY CHALLENGED = 14S/100
MEDICAL HELP = 16S/100
TOTAL SALARY GIVEN = 1S+12S+14S+16S/100 = 55S/100
LEFT AMOUNT = 45S/100 = 19575 (GIVEN)
S = 43500
SO, AMOUNT DONATED TO VISUALLY CHALLENGED = 13 * 43500 / 100 = RS. 5655
A sum of money is to be distributed among Ankit, Babu, Christo and David in the proportion of 5:4:3:2. If Christo gets Rs.117 more than David, what is Babu's share? (in Rs)
Solution
LET THE AMOUNT WITH ANKIT, BABU , CHRISTO (C) AND DAVID (D) BE 5X,4X,3X AND 2X RESPECTIVELY.
SINCE C = 117+ D
3X = 117 + 2X
X = 117
SO, BABU SHARE = 4X = 17*4 = 468
The length of a floor is 125% of its breadth. If the area of floor is $$320m^2$$, what is the sum of the length and the breadth of the floor? (in m)
Solution
LET THE LENGTH BE L AND BREADTH BE B OF THE FLOOR.
L = 1.25 B (GIVEN)
L*B = 320
SOLVING, BOTH THE EQUATIONS, WE GET
B = 16 AND L = 20
L + B = 36 M
The sum of three numbers is 243. If the ratio of the first to the second is 2:3 and that of the second to the third is 3:4, then the second number is
Solution
LET THE THREE NUMBERS IN THE ORDER BE A,B AND C.
GIVEN :
A+B+C = 243 (1)
A/B = 2/3, SO 3A = 2B
AND B/C = 3/4, SO 4B = 3C
PUTTING VALUES OF B IN EQUATION 1, WE GET
B = 81, A = 54 AND C= 108
SECOND NUMBER IS 81.
A shopkeeper sells a product at the rate of Rs.1,710 and earns a profit of 14%. Find the amount which is equal to half of the cost price of the product. (in Rs)
Solution
SELLING PRICE (S.P.) = 1710
C.P. = COST PRICE
PROFIT (P) = 14%
P% = SP-CP/CP * 100
P = S/C - 1
114/100 = S/C
C = 100S/114
C= 100 * 1710/114 = 1500
SO, THE ANSWER = 1500/2 = 750
The Loss incurred by selling an article at Rs.365 is 60% of the gain attained by selling the same article at Rs.701. Find the cost price of the article. (in Rs)
Solution
LET THE COST PRICE AND SELLING PRICE OF THE ARTICLE BE C AND S RESPECTIVELY.
GAIN = 701-C
LOSS = C-365
GIVEN LOSS = 60/100 GAIN
C-365 = 0.6 (701-C)
ON SOLVING , WE GET
C = 491
SO, COST PRICE = RS. 491
