amcat Quantitative Ability

Number of Questions: 16

Module Duration: 25 minutes

Detailed Syllabus:

Basic Mathematics

Divisibility
HCF and LCM
Numbers
Decimal fractions
Power

Applied Mathematics

Simple and Compound Interest
Time, Speed, and Distance
Inverse
Profit and Loss

Engineering Mathematics

Permutation and Combinations
Probability
Logarithms

Sample Questions

QUANTITATIVE ABILITY

Q1. If 892.6 - 573.07 - 95.007 = “B”. What is the value of B?

1) 414.633

2) 224.773

3) 233.523

4) 224.523

Ans:4

explanation

892.600 - (573.070 + 95.007) = 892.600 - 668.077 = 224.523

Q2. Find the number which is not divisible by 14?

1) 3556

2) 1428

3) 1997

4) 2996

Ans:3

Explanation

No should be divisible by both 2 & 7.

Q3. A customer paid you $800 for plumbing work, out of which, 3/5 of the total amount was spent on the purchase of materials and 1/5 of the remaining was spent on polishing. How much is left after all the deductions?

1) $220

2) $390

3) $544

4) $540

Ans:3

Explanation

Amount spent for material = 3/5 * 800 = 480

Amount Spent for polishing = 1/5 * (800 - 480) = 64

Remaining Amount left = 800 - (480 + 64) = 544

Q4. A man rides a motorboat at a speed of 15 kph in still water. What will be the speed of the water current if it takes her 4 hours 30 minutes to row a boat to a place 30 km away and return?

1) 15 kph

2) 5 kph

3) 12 kph

4) 20 kph

Ans: 2

Explanation

time = distance/speed

9/2 = 30/(15+x) + 30/(15-x)

x = 5

Q5. The pulse rate of a person is 20 beats in 10 seconds. Then, what will be the pulse rate of the person per minute?

1) 120 beats per minute

2) 110 beats per minute

3) 170 beats per minute

4) Data insufficient

Ans:1

Explanation

in 1 sec 2 beats

in 60 sec 120 beats

Q6. A storekeeper sold a shoe for 660, including a GST tax of 10%. If the cost price of the shoe is 500, what is the percentage profit for shopkeeper?

1) 30%

2) 25%

3) 20%

4) 35%

Ans: 3

Explanation

SP=(660 - 10/100*660) =594

CP=500

Profit % = (594-500/500)*100 = 18.99

Q7. Find the LCM of 147/64 and 30/44?

1) 735/2

2) 735/4

3) 3/704

4) 4/735

Ans: 1

HCF =

\frac{H C F o f N u m e r a t o r s}{L C M o f D e n o m i n a t o r s}

\frac{H C F o f N u m e r a t o r s}{L C M o f D e n o m i n a t o r s}

LCM =

\frac{L C M o f N u m e r a t o r s}{H C F o f D e n o m i n a t o r s}

So LCM off 147/64 and 30/44 =

\frac{L C M (147, 30)}{H C F (64, 44)}

\frac{1470}{4}

=735/2

Q8. The average age of 7 person is 60. The average of the first three person is 50, while the average of the last three person is 70. What must be the fourth person's age?

1) 85

2) 80

3) 60

4) 75

Ans: 3

Explanation

( x1+x2-----x7 )/7=60

x1+x2-------+x7 = 420 --------------- eq1

x1+x2+x3 = 50 * 3 = 150 ----------------eq2

x5+x6+x7 = 70 * 3 = 210 ----------------eq3

eq1 - (eq2 + eq3) = remaining element = 420 - 360 = 60

Q9. The simple interest earned on a certain amount is triple the amount when invested for 10 years. What is the interest rate being offered?

1) 40%

2) 20%

3) 30%

4) 50%

Ans: 3

Explanation

3A =( A * R * 10 ) / 100

R = 30

Q10. How many factors does the number 2,876 have?

1. 4

2. 6

3. 5

4. 7

Ans: 2

Take the power of terms as x and y. Using the equation for determining the number of factors, d(n)=(x+1)(y+1)

2876=(2^2*719^1)

d(2876)=(2+1)(1+1)=6

amcat Quantitative Ability