KRISHNA MOHAN

Wednesday, 30 August 2017

Quantitative Aptitude

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

(a) 0

(b) 4

(d) 7

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

(a) 150

(b) 75

(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

(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

(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%

(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

(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

(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%

(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

(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

(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

(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

(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

(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

(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

(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

(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

(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

(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

(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

(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)

Quantitative Aptitude

1. If the sum of a number of two digits and a numbers formed by reversing the digits is 99, then what is the sum of the digits of the original number?

(a) 9

(b) 81

(d) 18

2. What is the unit number in the value of (729)^59 ?

(a) 9

(b) 8

(d) 6

3. If one-third part of a tank is filled with water, it contains 80 L water. How much water is required for filling the half of the tank?

(a) 20 L

(b) 120 L

(d) 100 L

4. The HCF of two numbers is 8. Which one of the following can never be their LCM?

(a) 48

(b) 56

(d) 24

5. If 45 men can complete a work in 30 days working 12 h a day, in how many days will 60 men complete the work working 10 h a day?

(a) 31

(b) 29

(d) 27

6. A merchant marks his goods up by 60% and then offers a discount on the marked price. If the final selling price after the discount results in the merchant making no profit or loss, what was the percentage discount offered by the merchant?

(a) 60

(b) 40

(d) Depends on the cost price

7. A trader makes a profit equal to the selling price of 75 articles when he sold 100 of the articles. What percentage of profit did he make in the transaction?

(a) 33.33%

(b) 75%

(d) 150%

8. The ratio between boys and girls in a school is 4 : 6 respectively. If the number of boys is increased by 200 the ratio becomes 5 : 6 respectively. How many girls are there in the school?

(a) 1200

(b) 800

(d) can not be determined

9. The monthly salary of Preeti is Rs. 20000, which is Rs.2000 less that the salary of Meeta. What is ratio between the salary of Preeti and Meeta respectively?

(a) 11 : 10

(b) 9 : 10

(d) 10 : 11

10. Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of 7 apples and 8 mangoes is Rs. 48. Find the total cost of 24 apples and 24 mangoes.

(a) 1044

(b) 2088

(d) 324

Answers Key
1.(a)
2.(a)
3.(b)
4.(c)
5.(d)
6.(c)
7.(c)
Let S be the Selling price of 1 article,
Therefore, the selling price of 100 articles=100 S
Profit earned by selling these 100 articles=selling price of 75 articles = 75 S
We know that, Selling Price (SP)=Cost Price (CP)+Profit
So, we get
100S = CP+75S. Hence, CP
=100S-75S=25S
Profit percentage = Profit/(Cost Price)×100%
=75S/25S×100%=300%
8.(a)
9.(d)
10.(b)
Average cost of 5 apples and 4 mangoes=Rs.36
Total cost=36×9=324
Average cost of 7 apples and 8 mangoes=48
Total cost=48×15=720
Total cost of 12 apples and 12 mangoes
=324+720=1044
Therefore, cost of 24 apples and 24 mangoes =1044×2=2088

Quantitative Aptitude

1. The smallest number that must be subtracted from 1000 to make the resulting number is perfect square is

(a) 37

(b) 38

(d) 40

2. Find the smallest number which is exactly divisible by 6, 8 and 9 and is also a perfect square

(a) 133

(b) 144

(d) 166

3. If 4 men or 7 women can do a work in 60 days, then in how many days will 8 men and 7 women finish the same work?

(a) 20 days

(b) 30 days

(d) 50 days

4. If 10 men or 18 boys can do a work in 15 days, in how many days the double of that work will be done by 25 men and 15 boys?

(a) 9/2

(b) 9

(d) 18

5. The true discount on Rs. 2575 due 4 months hence is Rs. 75. Find the rate of interest.

(a) 8%

(b) 7%

(d) 10%

6. A vendor sells lemons at 5 for a rupee gaining 40%. How many did he by for a rupee?

(a) 5

(b) 7

(d) 11

7. Some money is divided among A, B and C is such a way that 5 times A’s share, 3 times B’s share and 2 times C’s share are all equal. The ratio between the shares of A, B, C is

(a) 5 : 3 : 2

(b) 2 : 2 : 5

(d) 6 : 10 : 15

8. A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs. 10.50 less, he would have gained 30%. Find the cost price of the article

(a) 20

(b) 30

(d) 50

9. A man rows 30 km downstream and 18 km upstream, taking 5 h each time. What is the velocity of current?

(a) 2.1 km/h

(b) 1.2 km/h

(d) 4.1 km/h

10. Find Compound interest on Rs. 10000 at 10% per annum for 2 yr and 3 months, compounded annually

(a) 2303.50

(b) 2402.50

(d) 5020.50

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

Quantitative Aptitude

1. What the least number of five digits is exactly divisible by 41?

(a) 10045

(b) 10004

(d) 10025

2. The smallest number of 5 digits beginning with 3 and ending with 5 is

(a) 30015

(b) 31005

(d) 50003

3. A pipe of 2 inch diameter fills the water tank in 1 h. If the diameter of the pipe is 4 inch, in what time will the pipe fill the same tank?

(a) 30 min

(b) 45 min

(d) 10 min

4. 8 men can dig a pit in 20 days. If a man works half as much again as a boy, then 4 men and 9 boys can dig a similar pit in

(a) 10 days

(b) 12 days

(d) 16 days

5. The discount series 10%, 20%, 40% is equivalent to a single discount of

(a) 50%

(b) 56.8%

(d) 62.28%

6. On selling an article at Rs. 1060, the gain is 20% more than the loss incurred on selling it at Rs. 950. In order to gain 20%, the selling price will be

(a) Rs. 980

(b) Rs. 1080

(d) None of these

7. The ratio of two numbers is 3 : 4 and their sum is 420. The grater of the two numbers is

(a) 175

(b) 200

(d) 315

8. The mean of five numbers is 18. If one number is excluded, their mean is 16. The excluded number is

(a) 25

(b) 26

(d) 30

9. A dealer buys an article marked at Rs. 25000 with 20% and 5% off. He spends Rs. 1000 on its repairs and sell it for Rs. 25000. What is his gain or loss per cent?

(a) Loss of 25%

(b) Gain of 25%

(d) Loss of 10%

10. On allowing a discount of 10% on its marked price the value of a watch is Rs. 1080. If no discount is allowed, the shopkeeper gains 20%. What is the cost price of the watch?

(a) Rs. 1000

(b) Rs. 1200

(d) None of these

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

Quantitative Aptitude

1. What least value must be given to * so that the number 91876*2 is divisible by 8?

(a) 1

(b) 2

(d) 4

2. What will be largest number which divides 27, 33 and 39 leaving remainder 2, 3 and 4 respectively ?

(a) 4

(b) 5

(d) 7

3. The HCF of three numbers is 12. If they are in the ratio 1 : 2 : 3, then the numbers are

(a) 6, 12, 18

(b) 10, 20, 30

(d) 24, 48, 72

4. A complete a work and takes 50% more time than B. If together they take 18 days to complete the work, how much time shall B take to do it?

(a) 30 days

(b) 35 days

(d) 45 days

5. A man, a woman and a boy can complete a job in 3 days, 4 days and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4th of a day?

(a) 10

(b) 14

(d) 41

6. Applied to a bill for Rs. 100000 the difference between a discount of 40% and two successive discounts of 36% and 4% is

(a) Nill

(b) Rs. 1440

(d) Rs. 4000

7. If the cost price of 4 things be equal to the sale price of 3 things, then the profit per cent is

(a) 25%

(b) 33(1/3)%

(d) 40%

8. Two numbers are respectively 20% and 50% more than a third number. These two numbers are in the ratio

(a) 2 : 5

(b) 4 : 5

(d) 5 : 2

9. A shopkeeper earn Rs. 504 in 12 days. In first 4 days his average income was Rs. 40. What was his average income for the remaining days?

(a) Rs. 43 per day

(b) Rs. 48 per day

(d) Rs. 28 per day

10. On reducing the marked price of an article by Rs. 32, a shopkeeper gains 15%. If the cost price of the article be Rs. 320 and it is sold at the market price, what will be the gain per cent?

(a) 10%

(b) 20%

(d) None of these

Answers Key

1.(c)

2.(b)

3.(c)

4.(a)

5.(d)

6.(b)

7.(b)

8.(b)

9.(a)

10.(c)

Quantitative Aptitude

1. Anil went to the market with some money. He spent 1/8th part of his money to purchase a tie and 1/4 of the remainder to purchase a shirt. Finally, he purchased a handkerchief by spending 1/7 of what still remained. After all his shopping 1/7 of what still remained. After all his shopping he was left with Rs. 72. How much did he has at first?

(a) 128

(b) 129

(d) 131

2. The difference of squares of two consecutive members is 21. What are the numbers?

(a) 10 and 11

(b) 11 and 10

(d) 8 and 13

3. Four prime numbers are written is ascending order of their magnitudes. The product of the first three is 385 and that of the last three is 1001. The largest given prime number is

(a) 11

(b) 13

(d) 19

4. A contractor undertook to do a work in 60 days. He employed 50 workers to carry out the job, but after 40 days he found that only half work had been done. Now, how many more worker should he employ to finish the work in time?

(a) 50

(b) 100

(d) 200

5. The difference between the SI and TW on a certain sum of money for 6 months at 6% per annum is Rs. 27. Find the sum.

(a) Rs. 30900

(b) Rs. 20800

(d) Rs. 30600

6. By selling toffees at 20 for a rupee, a man loses 4%. In order to gain 20%, how many for a rupee must be sell?

(a) 15

(b) 16

(d) 18

7. Three numbers A, B and C are in the ratio 1 : 2 : 3. Their average is 600. If A is increased by 10% and B is decreased by 20%, then to get the average increased by 5%, C will be increased by

(a) 90

(b) 100

(d) 180

8. A and B are two alloys of gold and copper prepared by mixing metals in the proportion 7 : 2 and 7 : 11 respectively. If equal quantities of the alloy are melted to form a third ally C, the proportion of gold and copper in C will be

(a) 5 : 9

(b) 5 : 7

(d) 9 : 5

9. A man whose bowling average is 12.4 takes 5 wickets for 26 runs and thereby decrease by average by 0.4. The umber of wickets taken by him before his last match, is

(a) 85

(b) 78

(d) 64

10. A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus grains 35%. The marked price is above the cost price by

(a) 20%

(b) 39%

(d) 50%

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

KRISHNA MOHAN

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Wednesday, 30 August 2017

Quantitative Aptitude

Quantitative Aptitude

Quantitative Aptitude

Quantitative Aptitude

Quantitative Aptitude

Quantitative Aptitude

Quantitative Aptitude

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