Quantitative Aptitude

1. A works twice as fast as B. If both of them can together finish a work in 12 days, B alone can do it in:

(1) 48 days

(2) 36 days

(3) 27 days

(4) 24 days

2. A particular job can be completed by a team of 10 men in 12 days. The same job can be completed by a team of 10 women in 6 days. How many days are needed to complete the job if the two teams work together?

(1) 4 

(2) 6

(3) 9

(4) 18

3. A can do a work in 6 days and B in 9 days. How many days will both take together to complete the work?

(1) 7.5

(2) 5.4

(3) 3.6

(4) 3

4. The selling price of 5 articles is the same as the cost price of 3 articles. The gain or loss is:

(1) 20% gain

(2) 25% gain

(3) 33.33% gain

(4) 40% loss

5. By selling an article for Rs. 480 a person lost 20%. For what should he sell it to make a profit of 20%?

(1) Rs. 800

(2) RS. 760

(3) Rs. 720

(4) RS. 680

6. A house worth Rs. 1,50,000 is sold by X at a 5% profit to Y, Y sells the house back to X at a 2% loss. Then in the entire transaction?

(1) X gains Rs. 4,350

(2) X loses Rs. 4,350

(3) X gains Rs. 3,150

(4) X loses Rs. 3,150

7. A, B and C are partners of a company. During a particular year A received one-third of the profit, B received one-fourth of the profit and C received the remaining Rs. 5,000. How much did A receive?

(1) Rs. 5,000

(2) Rs. 4,000

(3) Rs. 3,000

(4) Rs. 1,000

8. A book-seller bought 200 textbooks for Rs. 12,000. He wanted to sell them at a profit so that he got 20 books free. At what profit percent should he sell them?

(1) 10

(2) 11

(3) 11.5

(4) 12

9. A man leaves Rs. 8,600 to be divided among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew, and each son receives five times as much as each nephew, how much does each daughter receive?

(1) Rs. 100

(2) Rs. 600

(3) Rs. 800

(4) Rs. 1,000

10. If a sum of money is to be divided among A, B, C such that A’s share is equal to twice B’s share and B’s share is 4 times C’s share, then their shares are in the ratio:

(1) 1 : 2 : 4

(2) 1 : 4 : 1

(3) 8: 4 : 1

(4) 2 : 4 : 1

Answers Key:
1.(2) 
2.(1) 
3.(3) 
4.(4)
5.(3) 
6.(3) 
7.(2) 
8.(1)
9.(3) 
10.(3)

Quantitative Aptitude

Quantitative Aptitude

1. If 2/3 part of a number is greater by 4 then 3/5th of it, what is the number?

(a) 30

(b) 40

(c) 60

(d) 20

2. What will be added to 11148 so that the sum is divisible by 7?

(a) 7

(b) 3

(c) 9

(d) 5

3. An article is sold at a certain price. By selling it at 2/3 of that price one loses 10%. Find the gain per cent at original price.

(a) 35%

(b) 25%

(c) 45%

(d) 55%

4. How many kilogram of rice costing Rs. 18.30 per kg must be mixed with 126 kg of rice costing Rs. 8.55 per kg so that 20% may be gained by selling the mixture at Rs. 14.40 per kg?

(a) 69 kg

(b) 68 kg

(c) 67 kg

(d) 66 kg

5. A boat running downstream covers a distance of 10 km in 2 hr. While coming back stream the boat takes 5 h to cover the same distance. If the speed of the current is 1.5 km/hr, what is the speed of the boat in still water ?

(a) 2.5 km/hr

(b) 3.5 km/hr

(c) 5.3 km/hr

(d) 4.3 km/hr

6. If the simple interest on a sum of money for 2 yr at 5 % per annum is Rs. 50, what will be the compound interest on the same sum at the same rate for the same time?

(a) Rs. 51.25

(b) Rs. 52

(c) Rs. 54.25

(d) Rs. 60

7. HCF of x^2 - y^2 and x^3 - y^3 is 

(a) x-y

(b) x^3-y^3

(c) (x^2-y^2 )

(d) (x+y)(x^2+xy+y^2 )

8. Numbers 1, 2, 3, 4, ……., 98, 99, 100 are multiplied together. The number of zeros at the end of the product on the right will be equal to 

(a) 24

(b) 22

(c) 21

(d) 11

9. If 2/3 of fifth part of a number is equal to 6, then number is 

(a) 45

(b) 48

(c) 64

(d) 52

10. Man Aditya spends 1/5 part of his money as pocket money and 4/5 of the remainder in other affairs. If he is left with Rs. 48 per month, what is his monthly income?

(a) Rs. 360

(b) Rs. 400

(c) Rs. 320

(d) Rs. 300

Answers Keys
1. (c)
2. (b)
3. (a)
4. (a)
5. (b)
6. (a)
7. (a)
8. (a)
9. (a)
10. (d)

Quantitative Aptitude

Quantitative Aptitude

1. The sum of both digits of a two digit number is 7. If the digits of the number are interchanged, the number so formed is greater than the original number by 27. Find the original number.

(a) 25

(b) 26

(c) 27

(d) 28

2. If after the payment of 3/4 of a loan, Rs. 500 still remain to pay, what is whole amount of the loan?

(a) Rs. 2000

(b) Rs. 2100

(c)  Rs. 1700

(d) Rs. 1500

3. It is given that 2^32+1 is exactly divisible by a certain number. Which one of the following is also divisible by the same number?

(a) 2^96+1

(b) 2^16-1

(c) 2^16+1

(d) (7.2)^33

4. What is the least number which is a multiple of 17 and when divided by 2, 3, 4, 5, 6 and 8 leaves 1 as remainder in each case?

(a) 121

(b) 1921

(c)  361

(d) 1020

5. A train travelling at 100 km/h overtakes a motorbike travelling at 64 km/h in 40 s. What is the length of the train in metres?

(a) 1777 m

(b) 1822 m

(c)  400 m

(d) 1400 m

6. A can do a piece of work in 25 days which B alone can finish in 20 days. Both together work for 5 days and then A leaves off. How many days will B take to finish the remaining work?

(a) 11

(b) 12

(c)  13

(d) 14

7. 9 children can complete a piece of work in 360 days, 18 men can complete the same piece of work in 72 days and 12 women can complete it in 162 days. In how many days, can 4 men, 12 women and 10 children together complete the piece of work ?

(a) 71

(b) 81

(c)  61

(d) 85

8. The interest on a certain sum of money is Rs. 67.20 and the discount on the same sum of money for the same time and at the same rate is Rs. 60. What is the sum?

(a) Rs. 560

(b) Rs. 500

(c)  Rs. 460

(d) Rs. 400

9. By selling an article for Rs. 144 a man loses 1/7 of his outlay. By selling it for Rs. 168, his gain or loss per cent is

(a) 20% Loss

(b) 20% gain

(c)  4 1/6% Gain

(d) None of these

10. A man’s age was 5 times his son’s age 5 yr ago and he will be three times his son’s age after 2 yr. The ratio of their present ages is

(a) 5 : 2

(b) 5 : 3

(c) 10 : 3

(d) 11: 5

Answers Key
1.(a)
2.(a)
3.(a)
4.(b)
5.(c)
6.(a)
7.(b)
8.(a)
9.(d)
10.(c)

Quantitative Aptitude

1. If a number is divided by 84 the remainder is 37. What will be the remainder, if it is divided by 21?

(a) 18

(b) 20

(c) 16

(d) 15

2. The difference between the greatest and the least numbers of eight digits which begin with 8 and end with 6 is

(a) 99999999

(b) 10000000

(c) 80000006

(d) 9999990

3. A number lying between 1000 and 2000 is such that on division by 2, 3, 4, 5, 6, 7 and 8 leaves remainders 1, 2, 3, 4, 5, 6 and 7, respectively. The number is

(a) 1876

(b) 1679

(c) 1778

(d) 1654

4. If 6 men working 8 h a day earn Rs. 1680 per week, then 9 men working 6 h a day will earn per week

(a) Rs. 1680

(b) Rs. 1920

(c) Rs. 2680

(d) Rs. 1890

5. If 15 oxen or 20 cows can eat the grass of a field in 80 days, then in how many days will 6 oxen and 2 cows eat the same grass?

(a) 40 

(b) 60

(c) 100

(d) 160

6. A shopkeeper claims to sell all of his articles at a discount of 10%, but marks his articles by increasing the cost price of each article by 20%. His gain on each article is

(a) 6%

(b) 8%

(c) 10%

(d) 12%

7. Padam purchased 30 kg of rice at rate of Rs. 17.50 per kg and another 30 kg rice at a certain rate. He mixed the two and sold the entire quantity at the rate of Rs. 18.60 per kg and made 20% overall profit. At what price per kg did he purchase the lot of another 30 kg rice?

(a) Rs. 12.50

(b) Rs. 13.50

(c) Rs. 14.50

(d) Rs. 15.50

8. A man bought some oranges at Rs. 10 per dozen and bought the same number of oranges at 8 per dozen. He sold these oranges Rs. 11 per dozen and gained Rs. 120. The total number of oranges bought by him was

(a) 30 dozen

(b) 40 dozen

(c) 50 dozen

(d) 60 dozen

9. In some quantity of ghee, 60% is pure ghee and 40% is  vanaspati. If 10 kg of ghee is added, then the strength of vanaspati ghee becomes 20%. The original quantity was 

(a) 10 kg

(b) 15 kg

(c) 20 kg

(d) 25 kg

10. A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is 

(a) 4

(b) 6(1/4)

(c) 20

(d) 25

Answers Key
1.(c)
2.(d)
3.(b)
4.(d)
5.(d)
6.(b)
7.(b)
8.(d)
CP of 2 dozen oranges = (10+8) = Rs.18
SP of 2 dozen oranges = (10+8) = Rs.22
if profit is Rs.4 ,then oranges bought = 2 dozen
if profit is Rs. 120 ,then oranges bought
= (2/4*120) dozen = 60 dozen
9.(a)
10.(c)

Quantitative Aptitude

Quantitative Aptitude

1. A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended  variety at Rs 21 per kg, then his gain percent is 

A.  12%
B.  13%
C.  14%
D.  15%

2. A shopkeeper sold an article for Rs 2564.36. Approximately what was his profit percent if the cost price of the article was Rs 2400
A.  4%
B.  5%
C.  6%
D.  7%

3. Karan can do a work in 20 days, while kaikeyi can do the same work in 25 days. They started the work jointly.Few days later Sumitra also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.700. What is the Share of Sumitra?
A. Rs.130 
B. Rs.185
C. Rs.70 
D. can't be determined

4. A can finish a work in 15 days and B can do the same work in 12 days . B worked for 8 days and left the job .In how many days, A alone can finish the remaining work?
A. 6 days 
B. 5 days
C. 4 days 
D. 3 days

5. A contractor  undertook a project to complete it in 20 days which needed 5 workers to work continuously for all the days estimated. But before the start of the work the client wanted to complete it earlier than the scheduled time, so the contractor calculated that  he needed to increase 5 additional  men every 2 days to complete the work in the time the client wanted it:
If the work was further increased by 50% but the contractor continues to increase the 5 workers every 2 days then how many more days are required over the initial time specified by the  client.
A. 1 day 
B. 2 days
C. 5 days 
D. None of these


6. When A, B and C are deployed for a task , A and B together do 70% of the work and B and C together do 50% of the work. who is most efficient?
A. A 
B. B
C. C 
D. can't be determined

7. A, B and C can complete a piece of work in 24,6 and 12 days respectively.Working together, they will complete the same work in:
A. 1/24 days 
B. 7/24 days
C. 24/7 days 
D. 4 days

8. Four pipes A,B, C and D can fill a cistern  in 20,25, 40 and 50 hours respectively.The first pipe A was opened at 6:00 am, B at 8:00 am, C at 9:00 am and D at 10:00 am. when will the Cistern be full?
A. 4:18 pm 
B. 3:09 pm
C. 12:15 pm 
D. 11:09 am

9. A tank has an inlet and outlet pipe. The inlet pipe fills the tank completely in 2 hours when the outlet pipe is plugged. The outlet pipe empties the tank completely in 6 hours when the inlet pipe is plugged. If there is a leakage also which is capable of draining out the liquid from the tank at half of the  rate of outlet pipe,them what is the time taken to fill the empty tank when both the pipes are opened?
A. 3 hours 
B. 4 hours
C. 5 hours 
D. None of these


10. A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs):
A. 200, 250, 300 
B. 300, 200, 250
C. 200, 300, 400 
D. None of these

Answer Keys:

1-(A)

2-(D)

3.(C)

4.(B)

5.(B)

6.(A)

7.(C)

8.(B)

9.(B)

10.(B)

Quantitative Aptitude

Quantitative Aptitude

1. The unit digit in (7^95-3^58) is

(a) 0

(b) 4

(c) 6

(d) 7

2. Find the lowest number between 50 and 100 which is exactly divisible by 3, 6 and 15

(a) 150

(b) 75

(c) 120

(d) 60

3. P and Q can finish a work in 15, 10 days respectively. Q starts the work and leaves it after 5 days. The number of days in which P can complete the work is

(a) 8 days

(b) 9 days

(c) 6 1/2 days

(d) 7 1/2 days

4. A is thrice as good a workman as B and there fore is able to finish a job in 60 days less than B. Working together, they can do it in

(a) 20  days

(b) 22 1/2 days

(c) 25 days

(d) 30 days

5. A shopkeeper marks his goods 20% above cost price, but allows 30% discount for cash. His net loss is 

(a) 8%

(b) 10%

(c) 16%

(d) 20%

6. If a watch is sold at Rs. 60, there is a loss of 15% for a profit of 2%, the watch is to be sold at

(a) Rs. 70

(b) Rs. 72

(c) Rs. 75

(d) Rs. 85

7. Average of 5 term is 10. If average of first two term is 7 and average of last two term is 13, then what is the value of third term?

(a) 8

(b) 7

(c) 10

(d) 9

8. A pen is listed for Rs. 12. A discount of 15% is given on it. A second discount is given bringing the price down to Rs. 8.16. The rate of second discount is 

(a) 15%

(b) 18%

(c) 20%

(d) 25%

9. Milk and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3 respectively. In what ratio the liquids in both the vessels should be mixed to obtain a new mixture in vessel C containing half milk and half water?

(a) 1 : 1

(b) 1 : 3

(c) 1 : 2

(d) 7 : 5

10. A man can row at 5 km/h in still water. If the river is running at 1 km/h, it takes him 75 min to row to a place and back. How far is the place?

(a) 2.5 km

(b) 3 km

(c) 4 km

(d) 5 km

Answers Key
1.(b)
2.(d)
3.(d)
4.(b)
5.(c)
6.(b)
7.(c)
8.(c)
9.(d)
10.(b)

Quantitative Aptitude

Quantitative Aptitude,

1. The sum of two numbers is 10 and their product is 20. What will be the sum of their reciprocals?

(a) 1

(b) 2

(c) 1/2

(d) 1/10

2. The HCF and LCM of the two numbers x and y are respectively 3 and 105. If x+y=36, then 1/x+1/y is equal to 

(a) 35

(b) 3/5

(c) 4/35

(d) 1/35

3. A cistern has two pipes. One can fill it with water in 8 h and the other can empty it in 5 h. In How many hours will the cistern be emptied if both the pipes are opened together when 3/4 of the cistern is already full of water?

(a) 3 1/3 h

(b) 6 h

(c) 10 h

(d) 13 1/3 hr

4. A large tanker can be filled by two pipes A and B is 60 min and 40 min respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?

(a) 15 min

(b) 20 min

(c) 27.5 min

(d) 30 min

5. Raman bought a geyser at 9/10 th of its marked price and sold it at 8% more than its marked price. His gain per cent is 

(a) 8

(b) 10

(c) 18

(d) 20

6. The ratio between two number is 3 : 4. If each number is increased by 6, then ratio becomes 4 : 5. The difference between the numbers is

(a) 1

(b) 3

(c) 6

(d) 8

7. In a school, the ratio of boys and girls is 4 : 5. When 100 girls leave the school, the ratio becomes 6 : 7. How many boys are there in the school?

(a) 1300

(b) 1500

(c) 1600

(d) None of these

8. Two vessels A and B contain milk and water in the ratio 7 : 5 and 17 : 7, respectively. In what ratio mixtures from two vessels should be mixed to get a new mixture containing  milk and water in the ratio 5 : 3?

(a) 1 : 2

(b) 2 : 1

(c) 2 : 3

(d) 3: 2

9. A shopkeeper has 100 kg of tea. He sells a part of it at 20% profit and the rest at 5% loss. If his overall profit is 10%, find the quantity for each part?

(a) 20 kg

(b) 25 kg

(c) 30 kg

(d) 40 kg

10. A boat takes half time in moving a certain distance downstream than upstream. What is the ratio between rate in still water and rate in current?

(a) 1 : 2

(b) 3 : 1

(c) 2 : 1

(d) 1 : 3

Answers Key
1.(c)
2.(c)
3.(c)
4.(d)
5.(d)
6.(c)
7.(d)
8.(b)
9.(d)
10.(b)