### AMCAT Quantitative Aptitude Previous Years Question answers with Solutions – 4

Ques 91 : Choose the correct answer.

What is the value of 0-10 ?

Option 1 : 0 Option 2 : 1 Option 3 : -10

Ques 92 : Choose the correct answer.

What is the value of 251.5 ?

Option 1 : 325 Option 2 : 32.5

Ques 93 : Choose the correct answer.

What is the value of (0.027)1/3?

Ques 94 : Choose the correct answer.

What is the value of (0.016)1/4?

Option 1 : 0.2 Option 2 : 0.02 Option 3 : 0.002

Ques 95 : Choose the correct answer.

Walking 6/7th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance is:

Option 1 : 1 hour

Ques 96 : Choose the correct answer.

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively ?

Option 1 : 2 : 1 Option 2 : 3 : 2

Ques 97 : Choose the correct answer.

In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:

Option 1 : 21 m Option 2 : 26 m

Ques 98 : Choose the correct answer.

In a family, the father took 1/5 of the cake and he had 4 times as much as others had, then the family members are:

Option 1 : 16

Ques 99 : Choose the correct answer.

The price of sugar is increased by 25%. In order not to increase the expenditure a lady must reduce her consumption by:

Option 1 : 25%

Ques 100 : Choose the correct answer.

I read 3/8 of a book on one day, and 4/5 of the remainder on another day. If now there were 30 pages unread, the book contains:

What is the value of 0-10 ?

Option 1 : 0 Option 2 : 1 Option 3 : -10

**Option 4 : None of these**Ques 92 : Choose the correct answer.

What is the value of 251.5 ?

Option 1 : 325 Option 2 : 32.5

**Option 3 : 125**Option 4 : None of theseQues 93 : Choose the correct answer.

What is the value of (0.027)1/3?

**Option 1 : 0.3**Option 2 : 0.03 Option 3 : 0.003 Option 4 : None of theseQues 94 : Choose the correct answer.

What is the value of (0.016)1/4?

Option 1 : 0.2 Option 2 : 0.02 Option 3 : 0.002

**Option 4 : None of these**Ques 95 : Choose the correct answer.

Walking 6/7th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance is:

Option 1 : 1 hour

**Option 2 : 1 hr 12min**Option 3 : 1 hr 15 min Option 4 : 1 hr 20 minQues 96 : Choose the correct answer.

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively ?

Option 1 : 2 : 1 Option 2 : 3 : 2

**Option 3 : 8 : 3**Option 4 : Cannot be determined Option 5 : None of theseQues 97 : Choose the correct answer.

In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:

Option 1 : 21 m Option 2 : 26 m

**Option 3 : 28 m**Option 4 : 29 mQues 98 : Choose the correct answer.

In a family, the father took 1/5 of the cake and he had 4 times as much as others had, then the family members are:

Option 1 : 16

**Option 2 : 17**Option 3 : 18 Option 4 : None of theseQues 99 : Choose the correct answer.

The price of sugar is increased by 25%. In order not to increase the expenditure a lady must reduce her consumption by:

Option 1 : 25%

**Option 2 : 20%**Option 3 : 30% Option 4 : None of theseQues 100 : Choose the correct answer.

I read 3/8 of a book on one day, and 4/5 of the remainder on another day. If now there were 30 pages unread, the book contains:

**Option 1 : 240 pages**Option 2 : 230 pages Option 3 : 340 pages Option 4 : 140 pages Option 5 : None of these
Ques 101 : Choose the correct answer.

In an examination, 70% of students passed in physics, 65% in chemistry, 27% failed in both subjects. The percentage of students who passed is:

Option 1 : 66%

Ques 102 : Choose the correct answer.

An article was sold for Rs. 2770. Had it been sold for Rs. 3000 there would have been an additional gain of 10%. Cost Price of the article is:

Option 1 : Rs. 2100 Option 2 : Rs. 2200

Ques 103 : Choose the correct answer.

Rakesh buys a scooter worth Rs. 10,000. He sells it to Mohan at a profit of 10%. If after sometime Mohan sells it back to Rakesh at a loss of 10%, then totally:

Option 1 : Rakesh loses Rs. 100 Option 2 : Rakesh loses Rs. 1100 Option 3 : Rakesh gains Rs. 100

Ques 104 : Choose the correct answer.

The list price of an electric iron is Rs. 300. If two successive discounts of 15% and 10% are allowed, its selling price will be:

Ques 105 : Choose the correct answer.

The rate of compound interest at which a sum of Rs. 8000 amounts to Rs. 8820 in 2 years, is:

Ques 106 : Choose the correct answer.

A car is 250 metres behind the bus. The car and bus are moving with speed 60 km/hr and 35 km/hr respectively. The car will be ahead of bus by 250 metres in:

Option 1 : 37 seconds Option 2 : 48 seconds

Ques 107 : Choose the correct answer.

Mohan walks a certain distance and rides back in 6 hours and 15 minutes. If he walks both ways he takes 7 hours and 45 minutes. If Mohan rides both ways the time which he will take will be:

Option 1 : 4 hours

Ques 108 : Choose the correct answer.

Population of a village is eight thousand. If 6% men and 10% women are added, population becomes 8,600, then the number of men in the village was:

Option 1 : 4800

Ques 109 : Choose the correct answer.

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?

Option 1 : 40 Option 2 : 60 Option 3 : 100

Ques 110 : Choose the correct answer.

At a certain party the ratio of gents and ladies was 1 : 2. But when 2 gents and 2 ladies left the party, the ratio became 1 : 3. How many people were initially present in the party?

In an examination, 70% of students passed in physics, 65% in chemistry, 27% failed in both subjects. The percentage of students who passed is:

Option 1 : 66%

**Option 2 : 62%**Option 3 : 69% Option 4 : None of theseQues 102 : Choose the correct answer.

An article was sold for Rs. 2770. Had it been sold for Rs. 3000 there would have been an additional gain of 10%. Cost Price of the article is:

Option 1 : Rs. 2100 Option 2 : Rs. 2200

**Option 3 : Rs. 2300**Option 4 : Rs. 2400 Option 5 : None of theseQues 103 : Choose the correct answer.

Rakesh buys a scooter worth Rs. 10,000. He sells it to Mohan at a profit of 10%. If after sometime Mohan sells it back to Rakesh at a loss of 10%, then totally:

Option 1 : Rakesh loses Rs. 100 Option 2 : Rakesh loses Rs. 1100 Option 3 : Rakesh gains Rs. 100

**Option 4 : Rakesh gains Rs. 1100**Option 5 : None of theseQues 104 : Choose the correct answer.

The list price of an electric iron is Rs. 300. If two successive discounts of 15% and 10% are allowed, its selling price will be:

**Option 1 : Rs. 229.50**Option 2 : Rs.231.50 Option 3 : Rs.232.50 Option 4 : Rs. 234.50 Option 5 : None of theseQues 105 : Choose the correct answer.

The rate of compound interest at which a sum of Rs. 8000 amounts to Rs. 8820 in 2 years, is:

**Option 1 : 5%**Option 2 : 4% Option 3 : 6% Option 4 : 7% Option 5 : None of theseQues 106 : Choose the correct answer.

A car is 250 metres behind the bus. The car and bus are moving with speed 60 km/hr and 35 km/hr respectively. The car will be ahead of bus by 250 metres in:

Option 1 : 37 seconds Option 2 : 48 seconds

**Option 3 : 72 seconds**Option 4 : 68 seconds Option 5 : None of theseQues 107 : Choose the correct answer.

Mohan walks a certain distance and rides back in 6 hours and 15 minutes. If he walks both ways he takes 7 hours and 45 minutes. If Mohan rides both ways the time which he will take will be:

Option 1 : 4 hours

**Option 2 : 19/4**hours Option 3 : 9/2 hours Option 4 : 17/4 hours Option 5 : None of theseQues 108 : Choose the correct answer.

Population of a village is eight thousand. If 6% men and 10% women are added, population becomes 8,600, then the number of men in the village was:

Option 1 : 4800

**Option 2 : 5000**Option 3 : 5060 Option 4 : 6000Ques 109 : Choose the correct answer.

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?

Option 1 : 40 Option 2 : 60 Option 3 : 100

**Option 4 : 160**Ques 110 : Choose the correct answer.

At a certain party the ratio of gents and ladies was 1 : 2. But when 2 gents and 2 ladies left the party, the ratio became 1 : 3. How many people were initially present in the party?

**Option 1 : 12**Option 2 : 15 Option 3 : 18 Option 4 : 24
Ques 111 : Choose the correct answer.

Prabodh bought 30 kg of rice at the rate of Rs. 8.50 per kg and 20 kg of rice at the rate of Rs. 9.00 per kg. He mixed the two. At what price (App.) per kg should he sell the mixture in order to get 20% profit?

Option 1 : Rs. 9.50 Option 2 : Rs. 8.50

Ques 112 : Choose the correct answer.

The cash price of a television is Rs. 4022. A customer paid Rs. 1500 in cash and promised to pay the remaining money in 3 monthly equal instalments at the rate of 5% per annum compound interest. What is the value of each instalment?

Ques 113 : Choose the correct answer.

The population of a village decreases at the rate of 20% per annum. If its population 2 years ago was 10000, what is its present population?

Option 1 : 6000 Option 2 : 10000/144

Ques 114 : Choose the correct answer.

A certain sum of money at simple interest becomes Rs. 1062 in 2 years and Rs. 1183.50 in 3½ years. What is rate of interest per annum?

Option 1 : 7% Option 2 : 6%

Ques 115 : Choose the correct answer.

If the simple interest on a sum at 4% per annum for 2 years is Rs. 80, then the compound interest on the same sum for the same period is:

Option 1 : Rs. 86.80 Option 2 : Rs. 86.10 Option 3 : Rs. 88.65

Ques 116 : Choose the correct answer.

A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 750 km?

Option 1 : 30

Ques 117 : Choose the correct answer.

A train leaves Delhi at 6.00 a.m. and reaches Agra at 10.00 a.m. Another train leaves Agra at 8.00 a.m. and reaches Delhi at 11.30 a.m. At what time do the two trains cross each other if the distance between Delhi and Agra is 200 km?

Option 1 : 8.45 a.m.

Ques 118 : Choose the correct answer.

How many litres of a 90% solution of concentrated acid needs to be mixed with a 75% solution of concentrated acid to get a 30 L solution of 78% concentrated acid?

Option 1 : 24 L Option 2 : 22.5 L

Ques 119 : Choose the correct answer.

If x is a positive number and y = x2, then which of the following is true?

Option 1 : y is always more than x Option 2 : x is always more than y Option 3 : x is always equal to y

Ques 120 : Choose the correct answer.

Rajiv has a number x in his mind. He finds out that the square of x is less than x. What is the range of x?

Option 1 : x is more than 0 Option 2 : x is less than 1

Prabodh bought 30 kg of rice at the rate of Rs. 8.50 per kg and 20 kg of rice at the rate of Rs. 9.00 per kg. He mixed the two. At what price (App.) per kg should he sell the mixture in order to get 20% profit?

Option 1 : Rs. 9.50 Option 2 : Rs. 8.50

**Option 3 : Rs. 10.50**Option 4 : Rs. 12.00Ques 112 : Choose the correct answer.

The cash price of a television is Rs. 4022. A customer paid Rs. 1500 in cash and promised to pay the remaining money in 3 monthly equal instalments at the rate of 5% per annum compound interest. What is the value of each instalment?

**Option 1 : Rs. 926.10**Option 2 : Rs. 903.33 Option 3 : Rs. 928.30 Option 4 : Rs. 940.50Ques 113 : Choose the correct answer.

The population of a village decreases at the rate of 20% per annum. If its population 2 years ago was 10000, what is its present population?

Option 1 : 6000 Option 2 : 10000/144

**Option 3 : 6400**Option 4 : 7600Ques 114 : Choose the correct answer.

A certain sum of money at simple interest becomes Rs. 1062 in 2 years and Rs. 1183.50 in 3½ years. What is rate of interest per annum?

Option 1 : 7% Option 2 : 6%

**Option 3 : 9%**Option 4 : 5%Ques 115 : Choose the correct answer.

If the simple interest on a sum at 4% per annum for 2 years is Rs. 80, then the compound interest on the same sum for the same period is:

Option 1 : Rs. 86.80 Option 2 : Rs. 86.10 Option 3 : Rs. 88.65

**Option 4 : Rs. 81.60**Ques 116 : Choose the correct answer.

A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 750 km?

Option 1 : 30

**Option 2 : 31.25**Option 3 : 31 Option 4 : 33Ques 117 : Choose the correct answer.

A train leaves Delhi at 6.00 a.m. and reaches Agra at 10.00 a.m. Another train leaves Agra at 8.00 a.m. and reaches Delhi at 11.30 a.m. At what time do the two trains cross each other if the distance between Delhi and Agra is 200 km?

Option 1 : 8.45 a.m.

**Option 2 : 8.56 a.m.**Option 3 : 9.20 a.m. Option 4 : 9.56 a.m.Ques 118 : Choose the correct answer.

How many litres of a 90% solution of concentrated acid needs to be mixed with a 75% solution of concentrated acid to get a 30 L solution of 78% concentrated acid?

Option 1 : 24 L Option 2 : 22.5 L

**Option 3 : 6 L**Option 4 : 17.5 LQues 119 : Choose the correct answer.

If x is a positive number and y = x2, then which of the following is true?

Option 1 : y is always more than x Option 2 : x is always more than y Option 3 : x is always equal to y

**Option 4 : None of these**Ques 120 : Choose the correct answer.

Rajiv has a number x in his mind. He finds out that the square of x is less than x. What is the range of x?

Option 1 : x is more than 0 Option 2 : x is less than 1

**Option 3 : x is more than 0, but less than 1**Option 4 : This is not possible