Quantitative Aptitude 9

                   Quantitative Aptitude                             

1. A person buys two cows and sells them the very next day. The cost priceof the first cow is equal to the selling

price of the second and the cost price of the second cow is equal to the selling price of the first. How much

profit did he make?

1) Data insufficient 2) 10% 3) 20% 4) Zero 5) None of these

2. There are four bags of equal capacity. First three are filled with rice. 10 %, 20% and 30% rice is taken from the

first three bags respectively and collected in the fourth bag. What percentage of the fourth bag is filled ?

1) 20% 2) 40% 3) 60% 4) 80% 5) None

3. The numerator of a fraction is doubled and the denominator is halved. What is the effect on the fraction ?

1) Remains the same 2) Becomes double 3) Becomes one fourth

4) Becomes four times 5) None of these

4. The ratio of the ages of Mohan and Rakesh is 12:7. What is the age of Rakesh ?To find the answer which of

the following informations is necessary ?

A. Mohan is 10 years older than Rakesh.

B. The sum of their ages is 38 years.

C. Ratio of their ages after 6 years will be 3 : 2.

1) Only A alone is sufficient 2) Only B alone is sufficient 3) Only C alone is sufficient

4) Any of the three is sufficient. 5) Only either A or B is sufficient but not C

5. At simple interest, a sum of money amounts to Rs 3360 in 6 years. What does it amount to in 9 years? To

answer the question which of the following statements is necessary ?

A. The sum becomes double in 8 years.

B. The sum becomes Rs 3400 in 7 years

C. Rate of interest is 12.5% per annum.

1) Only A alone is sufficient 2) Only B alone is sufficient 3) Only either A or B is sufficient

4) Any of the three is sufficient 5) All of them even together are not sufficient

6. A precious stone has its price proportional to the square of its weight. One such stone broke into 4 pieces by

an accident. The weight of these pieces are in the ratio of 1:2:3:4. If the loss in total price amounts to Rs

70,000, the price of the original piece is

1) Rs 90,000 2) Rs 1,40,000 3) Rs 70,000 4) Can’t be determined 5) None of these

7. Rohit got 700 marks in the examination. To find out his percentage of marks which of the following information

is/ are necessary /sufficient ?

A) He appeared in all the nine papers.

B) The highest marks obtained is 90.

C) The maximum marks for each paper is 100.

1) Only A is sufficient 2) Only C is sufficient 3) A and B together are sufficient

4) A and C together are sufficient 5) All A, B and C are necessary

8. A merchant visited three fairs. At the first fair, he doubled his money and spent Rs 30. At the second fair, he

tripled his money and spent Rs. 54. At the third fair, he quadrupled his money and spent Rs 72. Then he had

Rs 48 left. With how much money did he start ?

1) Rs 34 2) Rs 29 3) Rs 27 4) Rs 32 5) Rs 40

9. A rectangular table cloth is cut in such a way that its length is reduced by 30% and breadth by 10% of its

original. The percentage of original area, which remains is

1) 63 2) 37 3) 30 4) 10 5) None of these

10. Two persons A and B together own 175 shares in a company. They want to divide these amongst themselves

in such a way that neither of them loses or gains as compared to the other. A takes 85 shares while B takes

90 shares and pays Rs 100 to A. Find the value of a share.

1) Rs 40 2) Rs 46 3) Rs 42 4) Rs 49 5) None of these

                                   Answers                                          

1. 4

2. 3

3. 4

4. 4

5. 4

6. 5

7. 4

8. 2

9. 1

10. 1

Quantitative Aptitude 8

                                     Quantitative Aptitude                             

                                                        

1. In a group of 30, 7 study Maths but not Physics, 12 study Maths and 6 study neither Maths nor Physics. How

many students study Physics but not Maths?

1) 12 2) 10 3) 15 4) 16 5) None of these

2. A shopkeeper purchased some rice for Rs. 450. One third of the rice was sold at a loss of 10% At what % gain

should the remainder be sold so as to gain 20% on the whole transaction?

1) 25 2) 30 3) 35 4) 40 5) 45

3. A can do a job in 12 days and B can do it in 15 days. A started the work and was joined by B 5 days before the

completion of the work. What is the share of B out of the total wages of Rs 120 ?

1) Rs. 40 2) Rs. 35 3) Rs. 45 4) Rs. 37 5) None of these

4. The daily sale of A who sells at 5% profit is Rs 2100. To find that by how much is daily income of A more than

that of B, which of the following statements is necessary ?

A. The daily sale of B is Rs 345

B. B sells at 15% profit.

C. A’s income is Rs. 105.

1) Only A alone is sufficient 2) Only B alone is sufficient 3) Only C alone is sufficient

4) All the three together are necessary 5) Only A and B together are sufficient

5. If the radius of the base and the height of a cylinder and a cone are each equal to r, and the radius of a

hemisphere is equal to 2r, then the volumes of the cone, the cylinder and the hemisphere are in the ratio

1) 3 : 1 : 16 2) 2 : 1 : 8 3) 1 : 3 : 9 4) 1:3:12 5) None of these

6. The train A is 280m long while B is 350 m long. Their speeds are 36km/hr and 27 km/hr respectively. They are

moving in opposite directions. They meet near a pole. In how much time will both of them clear the pole

1) 74 2/3sec 2) 46 2/3sec 3) 28 sec 4) Can’t say 5) None of these

7. A train crosses another train coming from the opposite direction in 18 sec. If the length of the train is 100 m.,

then to find out the speed of the train which of the following statements P,Q and R is sufficient/necessary ?

P. The speed of the other train is 60 km/h.

Q. The train passes a platform in 14 sec.

R. The other train passes a telegraph pole in 6 sec.

1) Only P and Q are sufficient. 2) Only Q and R are sufficient. 3) Only P and R are sufficient.

4) All P,Q and R together are necessary. 5) None of these

8. An oblong piece of ground measures 19.25m by 12.5 m. From the middle of each side a path 2m wide goes

across to the middle of the opposite side. What is the cost of paving the path at the rate of Rs. 1.32 per m2?

1) Rs. 78.54 2) Rs. 78.45 3) Rs. 74.85 4) Rs. 68.54 5) None of these

9. A water tank has been fitted with two taps. Tap A drains out at the rate of 6 litres per minute and tap B

at the rate of 8 litres per minute. If the tank is full, in how many hours will it be emptied if both the taps work

together ?

To find the solution which of the following statements is necessary ?

P. The tank can contain 20000 litres of water.

Q. The radius of each tap is 2 cm.

R. If they work independently, the ratio of time taken by A and B is 4 : 3.

1) Only P alone is sufficient 2) Only Q alone is sufficient 3) Only R alone is sufficient

4) P and R together are sufficient 5) All the three together are sufficient

10. The average marks of the first ten students in a class is 78 and the average marks of the last ten students in

a class is 58. If there are 25 students in the class and the average of all the students is 63, then find the marks

of the 13th students.

1) 60 2) 63 3) 65 4) 75 5) Can’t be determined

Answers

1. 1

2. 3

3. 1

4. 5

5. 1

6. 2

7. 5

8. 1

9. 1

10. 5

Quantitative Aptitude 7

                           Quantitative Aptitude                            

1. Find the sum of all numbers between 1 and 100 that are divisible by 2 and 3 but not by 6.

1) 4001 2) 3417 3) 3977 4) 3318 5) None of these

2. What is the area of the square whose diagonal is of lengthÖ 20 units ?

1) 20 2) 10Ö 20 3) 200 4) 10 5) None if these

3. 4 men and 10 boys were able to do half the work in 6 days. Then 2 more men and 2 more boys were

added to the team, and they all did 1/3 of the work in 3 days. Now, only 2 men and 2 boys will do the

whole work in _______

1) 36 2) 33 3) 27 4) 24 5) 30

4. When the price of sugar rose by 16 3/2 %, a housewife had to reduce the quantity of sugar bought by

r% so that her expenditure per month did not increase. Find the r%.

1) 14% 2) 14 7/2% 3) 12% 4) 12 7/2% 5) None of these

5. If 8 articles were sold at the cost price of 10 articles, find the gain or loss per cent.

1) 20% gain 2) 25% loss 3) 25% gain 4) 30% loss 5) 20% loss

6. Samrat can run a distance of one km in 3 minutes 10 seconds and Sibesh can run the same distance

in 3 minutes 20 seconds. If they start together, by what distance can Samrat beat Sibesh in that

race?

1) 50 m 2) 60 m 3) 55 m 4) 65 m 5) None of these

7. One solution contains 40% acid and another 72%. In what ratio should they be mixed so that the

new mixture may be 50% strong?

1) 6 : 5 2) 10 : 7 3) 2 : 1 4) 11 : 5 5) 11 : 7

8. A bag contains 3 white balls and 2 black balls. Another bag contains 2 white balls and 4 black balls. A

bag and a ball are picked at random. The probability that the ball will be white is

1)7/11 2) 7/ 30 3 )5/11 4)7/15 5) None of these

9. How many numbers between 1000 and 10000 contain the digits 1, 3, 5 and 7?

1) 16 2) 24 3) 8 4) 32 5) None of these

10. If 3x + 2 = 5x - 6, then 7x + 1 = ?

1) 29 2) 25 3) -27 4) 15 5) None of these

               Answers                                                                    

1. 5

2. 4

3. 1

4. 2

5. 3

6. 1

7. 4

8. 4

9. 2

10. 1