6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the total number of circles passing through the two fixed points?

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

Answer & Explanation Answer: D) Infinite

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 36148

Q:

The altitude drawn to the base of an isosceles triangle is 8cm and the perimeter is 32cm. Find the area of the triangle?

A) 50	B) 60
C) 70	D) 80

Answer & Explanation Answer: B) 60

Explanation:

let ABC be the isosceles triangle, the AD be the altitude

Let AB = AC = x then BC= 32-2x [because parameter = 2 (side) + Base]

since in an isoceles triange the altitude bisects the base so

BD = DC = 16-x

In a triangle ADC, ${(A C)}^{2} = {(A D)}^{2} + {(D C)}^{2}$

$x^{2} = 8^{2} + {(16 - x)}^{2}$ $\Rightarrow x = 10$

BC = 32-2x = 32-20 = 12 cm

Hence, required area = $\frac{1}{2} * B C * A D$ = $\frac{1}{2} * 12 * 10$ = 60 sq cm

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

69 36088

Q:

What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20% ?

A) 30 %	B) 25 %
C) 15 %	D) 20 %

Answer & Explanation Answer: D) 20 %

Explanation:

SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80

SP1 = 120
100 --- 20 => 20%

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

97 36020

Q:

X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs. 40,000, the amount invested by Y is :

A) 20000	B) 40000
C) 60000	D) 80000

Answer & Explanation Answer: C) 60000

Explanation:

Suppose Y invested Rs. y. Then 40000/y = 2/3 or y = 60000 .

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Filed Under: Partnership

23 35985

Q:

When 0.36 is written in simplest form, the sum of the numerator and the denominator is :

A) 15	B) 34
C) 64	D) 13

Answer & Explanation Answer: B) 34

Explanation:

0.36 = 36/100 = 9/25.

Sum of the numerator and denominator is 9 + 25 = 34

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Filed Under: Decimal Fractions

76 35971

Q:

Find the odd word/letters/number pair from the given alternatives.

A) Teacher and Student	B) Chemistry and Science
C) History and Mathematics	D) Air and Oxygen

Answer & Explanation Answer: C) History and Mathematics

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 35958

Q:

A sum of Rs.1550 was lent partly at 8% p.a. simple interest. The total interest received after 3 years was Rs.300. The ratio of the money lent at 5% to that lent at 8% is :

A) 5:8	B) 6:7
C) 16:15	D) 17:18

Answer & Explanation Answer: C) 16:15

Explanation:

let the sum lent at 5% be Rs.x and that lent at 8% be Rs.(1550-x). then,

Interest on x at 5% for 3 years + interest on (1550-x) at 8% for 3 years = 300

$\frac{x * 5 * 3}{100} + \frac{(1500 - x) * 8 * 3}{100} = 300$

x=800

Required ratio = x : (1550-x) = 800 : (1550-800) = 800 : 750 = 16 : 15

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Filed Under: Simple Interest
Exam Prep: Bank Exams
Job Role: Bank PO

71 35937

Q:

476 ** 0 is divisible by both 3 and 11.The non zero digits in the hundred's and ten's places are respectively:

A) 6 and 2	B) 8 and 2
C) 6 and 5	D) 8 and 5

Answer & Explanation Answer: D) 8 and 5

Explanation:

Let the number be 476ab0

476ab0 is divisible by 3

=> 4 + 7 + 6 + a + b + 0 is divisible by 3

=> 17 + a + b is divisible by 3 ------------------------(i)

476ab0 is divisible by 11

[(4 + 6 + b) -(7 + a + 0)] is 0 or divisible by 11

=> [3 + (b - a)] is 0 or divisible by 11 --------------(ii)

Substitute the values of a and b with the values given in the choices and select the values which satisfies both Equation 1 and Equation 2.

if a=6 and b=2,

17 + a + b = 17 + 6 + 2 = 25 which is not divisible by 3 --- Does not meet equation(i).Hence this is not the answer

if a=8 and b=2,

17 + a + b = 17 + 8 + 2 = 27 which is divisible by 3 --- Meet equation(i)

[3 + (b - a)] = [3 + (2 - 8)] = -3 which is neither 0 nor divisible by 11---Does not meet equation(ii).Hence this is not the answer

if a=6 and b=5,

17 + a + b = 17 + 6 + 5 = 28 which is not divisible by 3 --- Does not meet equation (i) .Hence this is not the answer

if a=8 and b=5,

17 + a + b = 17 + 8 + 5 = 30 which is divisible by 3 --- Meet equation 1

[3 + (b - a)] = [3 + (5 - 8)] = 0 ---Meet equation 2

Since these values satisfies both equation 1 and equation 2, this is the answer

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Filed Under: Numbers

37 35848

Quantitative Aptitude - Arithmetic Ability Questions

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