6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In a mixture of 60 litres, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?

A) 42 Litres	B) 56 Litres
C) 60 Litres	D) 77 Litres

Answer & Explanation Answer: C) 60 Litres

Explanation:

Ratio of milk and water = 2 : 1
Quantity of milk = 60 X 2/3 = 40 litre
Quantity of water = 20 litre
To make ratio, 1: 2, we have to double the water that of milk
So, water should be 80 litre.
That means 80 – 20 = 60 litre water to be added.

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

3 4234

Q:

If $\frac{5 + 2 \sqrt{3}}{7 + 4 \sqrt{3}} = a + b \sqrt{3} t h e n a & b = ?$

A) a=-11,b=-6	B) a=-11,b=6
C) a=11,b=-6	D) a=11,b=6

Answer & Explanation Answer: C) a=11,b=-6

Explanation:

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

13 4232

Q:

Find the remainder when $6^{29}$ is divided by 5 ?

A) 0	B) 1
C) 3	D) 5

Answer & Explanation Answer: B) 1

Explanation:

All powers of 6 has 6 in units place so answer will definitely be 1.

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

4 4230

Q:

$\sqrt{(\frac{(0.75)^{3}}{1 - 0.75} + [0.75 + {(0.75)}^{2} + 1])} = ?$

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: B) 2

Explanation:

$\sqrt{(\frac{(0.75)^{3}}{1 - 0.75} + [0.75 + (0.75)^{2} + 1])} = \sqrt{\frac{(0.75)^{3} + (1 - 0.75) [(1)^{2} + (0.75)^{2} + 1 \times 0.75]}{1 - 0.75}}$

= $\sqrt{\frac{(0.75)^{3} + [(1)^{3} - (0.75)^{3}]}{1 - 0.75}} = \sqrt{\frac{1}{0.25}} = \sqrt{4} = 2$

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Filed Under: Square Roots and Cube Roots

6 4223

Q:

If 3A = 2B = C, then A : B : C = ?

A) 6 : 2 : 3	B) 1/3 : 1/2 : 1
C) 3 : 2 : 1	D) 1 : 3 : 2

Answer & Explanation Answer: B) 1/3 : 1/2 : 1

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

19 4218

Q:

In a plane 8 points are colliner out of 12 points, then the number of triangles we get with those 12 points is

A) 20	B) 160
C) 164	D) 220

Answer & Explanation Answer: C) 164

Explanation:

For a triangle, we need 3 non-collinear points. So with 12 points (when all the 12 are such that any three non-collinear is $12 C_{3}$ . But among them 8 points are collinear.

If all these 8 points are different we get $8 C_{3}$ triangles as they are collinear.

In $12 C_{3}$ triangles, we do not get $8 C_{3}$ triangles

Therefore, The number of triangles we get = $12 C_{3} - 8 C_{3}$ = 164

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

3 4216

Q:

4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?

A) 4	B) 8
C) 12	D) 16

Answer & Explanation Answer: D) 16

Explanation:

Let the required number of bottles be x.

More weavers, More mats (Direct Proportion)

More days, More mats (Direct Proportion)

$W a v e r s 4 : 8 D a y s 4 : 8$ :: 4:x

4 x 4 x x = 8 x 8 x 4

=> x= $\frac{8 * 8 * 4}{4 * 4}$

=> x = 16.

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Filed Under: Quantitative Aptitude - Arithmetic Ability

2 4214

Q:

Find the present worth of a bill of Rs.28000 due 2 years at 12% compound interest. Also find the true discount.

A) 300	B) 350
C) 250	D) 275

Answer & Explanation Answer: A) 300

Explanation:

PW = $\frac{A m o u n t}{{(1 + \frac{R}{100})}^{T}} = \frac{2800}{{(1 + \frac{12}{100})}^{2}}$ = Rs.2500

TD = Amount - PW = 2800 - 2500 = Rs.300

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Filed Under: True Discount

0 4211

Quantitative Aptitude - Arithmetic Ability Questions

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