6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Point A divides segment BC in the ratio 1:3. Co-ordinates of B are (4,-4) and C are (0,6). What are the co-ordinates of point A?

A) (-3, 1.5)	B) (-1.5, 3)
C) (3, -1.5)	D) (1.5, 3)

Answer & Explanation Answer: C) (3, -1.5)

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 1970

Q:

What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)? √580×∛510+ 49.999 x 3.999=?

A) 384	B) 392
C) 410	D) 372

Answer & Explanation Answer: B) 392

Explanation:

Take nearest values
√580×∛510+ 49.999 x 3.999=?
24x 8 + 200 = 392

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Filed Under: Simplification
Exam Prep: Bank Exams
Job Role: Bank PO , Bank Clerk

0 1969

Q:

If $a$ - $\frac{1}{a}$ =7,then $a^{2}$ + $\frac{1}{a^{2}}$ =?

A) 54	B) 51
C) 53	D) 52

Answer & Explanation Answer: B) 51

Explanation:

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

0 1969

Q:

If $\frac{a}{b + c} = \frac{b}{c + a} = \frac{C}{b + a}$ then which one of the following statements is correct?

A) Each fraction is equal to 1 or -1	B) Each fraction is equal to 1/2 or 1
C) Each fraction is equal to 1/2 or -1	D) Each fraction is equal to 1.2 only

Answer & Explanation Answer: C) Each fraction is equal to 1/2 or -1

Explanation:

a/(b+c) = b/(c+a) = c/(a+b)

Taking reciprocal and adding 1 to each ratio we get;

(b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1

Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c

So this can only be equal when a=b=c or a+b+c = 0

When a=b=c we get

a/(b+c)= ½When a+b+c = 0 we get

b+c = -a

So a/(b+c) = -1

So the ratios are ½ or -1

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1969

Q:

In two types of brass, the ratios of Copper to Zinc are 8:3 and 15:7 respectively. If the two types of brass be melted and mixed in the ratio 5:2 a new type of brass is obtained. The ratio of Copper to Zinc in this new type of brass is

A) 3:2	B) 2:3
C) 3:4	D) 5:2

Answer & Explanation Answer: D) 5:2

Explanation:

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

5 1969

Q:

From a container of milk, 5 litres of milk is replaced with 5 litres of water. This process is repeated again. Thus in two attempts the ratio of milk and water became 81 : 19. The initial amount of milk in the container was

A) 50 litres	B) 45 litres
C) 25 litres	D) 20 litres

Answer & Explanation Answer: A) 50 litres

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO , Bank Clerk

3 1969

Q:

A complete factorisation of $x^{4} + 64$ is

A) (x2 + 8)2	B) (x2 + 8)(x2 - 8)
C) (x2 - 4x + 8)(x2 -4x - 8)	D) (x2 + 4x + 8)(x2 - 4x + 8)

Answer & Explanation Answer: D) (x2 + 4x + 8)(x2 - 4x + 8)

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1968

Q:

In the given figure, two identical circles of radius 4 cm touch each other. A and B are the centres of the two circles. If RQ is a tangent to the circle, then what is the length (in cm) of RQ?

A) 3√3	B) 2√6
C) 4√2	D) 6√2

Quantitative Aptitude - Arithmetic Ability Questions

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