6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If x is a whole number, then x²(x² - 1) is always divisible by ?

A) 4	B) 8
C) 12	D) None

Answer & Explanation Answer: C) 12

Explanation:

we can do this by trial and error method.

Putting x = 2,we get 2²(2² - 1) = 12.
checking with other integers, the above equation always gives a value which is a multiple of 12,
So, x²(x² - 1) is always divisible by 12.

Report Error

View Answer Report Error Discuss

Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO

14 14521

Q:

What is the third proportional to 16 and 36 ?

Answer

Let $\inline 6:8::15:x$

$\inline 16x=36\times 36$

$\therefore x=\frac{36\times 36}{16}=81$

Workspace

Report Error

View answer Workspace Report Error Discuss

Subject: Ratios and Proportions

73 14509

Q:

Two bike riders ride in opposite directions around a circular track, starting at the same time from the same point. Biker A rides at a speed of 16 kmph and biker B rides at a speed of 14 kmph. If the track has a diameter of 40 km, after how much time (in hours) will the two bikers meet?

A) 6.52	B) 8.14
C) 4.18	D) 5.02

Answer & Explanation Answer: C) 4.18

Explanation:

Distance to be covered = $πD$ = $40 π$ km

Relative speed of bikers = 16 + 14 = 30 kmph.

Now, $t i m e = \frac{d i s \tan c e}{s p e e d}$ = $\frac{40 π}{30}$ = 4.18 hrs.

Report Error

View Answer Report Error Discuss

Filed Under: Time and Distance
Exam Prep: CAT
Job Role: Bank Clerk

21 14505

Q:

What is the ratio whose terms differ by 40 and the measure of which is 2/7 ?

A) 16:56	B) 14:56
C) 15:56	D) 16:72

Answer & Explanation Answer: A) 16:56

Explanation:

Let the ratio be x : (x + 40), then ,

$\frac{x}{x + 40} = \frac{2}{7}$

$\Rightarrow$ 7x = 2x + 80

$\Rightarrow$ x = 16

Required ratio = 16 : 56

Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions

35 14498

Q:

A Shopkeeper charges sales tax of x% upto Rs.2,000 and above it he charges y%. A customer pays total tax of Rs 320, when he purchases the goods worth Rs. 6,000 and he pay's the total tax of Rs. 680 for the goods worth Rs. 12,000. The value of (x-y) is:

A) 0	B) -2
C) -4	D) 5

Answer & Explanation Answer: B) -2

Explanation:

$2000 x \frac{X}{100} + 4000 x \frac{Y}{100} = 320$

and $2000 x \frac{X}{100} + 10000 x \frac{Y}{100} = 680$

x = 4 and y = 6

x-y = -2

Report Error

View Answer Report Error Discuss

Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

14 14485

Q:

Sum of the ages of Rajesh, Suresh, Mahesh and Dinesh is 76 years. 7 years hence, their age ratio is 7:6:5:8. Find Mahesh’s present age ?

A) 17 years	B) 13 years
C) 14 years	D) 16 years

Answer & Explanation Answer: B) 13 years

Explanation:

Given R + S + M + D = 76

=> R+7 : S+7 : M+7 : D+7 = 7:6:5:8

=> Let the ratio = x

=> M+7 = 5x

=> M = 5x-7

=> R = 7x-7

=> S = 6x-7

=> D = 8x-7

=> R + S + M + D = 76

=> 7x-7 + 6x-7 + 5x-7 + 8x-7 = 76

=> 26x - 28 = 76

=> 26x = 104

=> x = 4

=> Mahesh's present age = 5x-7 = 20 - 7 = 13 years.

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

23 14482

Q:

In a factory there are three types of Machines M1 , M2 and M3 which produces 25%, 35% and 40% of the total products respectively. M1, M2 and M3 produces 2% , 4% and 5% defective products, respectively. What is the percentage of non-defective products?

A) 89%	B) 97.1%
C) 96.1%	D) 86.1%

Answer & Explanation Answer: C) 96.1%

Explanation:

Non- defective products

$\frac{25 x 0.98 + 35 x 0.96 + 40 x 0.95}{100} x 100 = 96.1$

Report Error

View Answer Report Error Discuss

Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

22 14440

Q:

If u : v : w = 3 : 6 : 8, then what will be the ratio of (u/v) : (v/w) : (w/u)?

A) 8 : 6 : 3	B) 8 : 4 : 3
C) 5 : 9 : 12	D) 6 : 9 : 32

Quantitative Aptitude - Arithmetic Ability Questions

Quick Links