6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In the given figure, ,PQRS is a square whose side is 8 cm. PQS and QPR are two quadrants. A circle isplaced touching both the quadrants and the square as shown in the figure. What is the area (in sq.cm) of the circle?

A) 13/17	B) 11/14
C) 19/31	D) 15/19

Answer & Explanation Answer: B) 11/14

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

2 3116

Q:

Sairam spent Rs. 38460 on the renovation of his home and Rs. 24468 on buying TV set and remained with 28% of the total amount. What was the total amount?

A) Rs. 87400	B) Rs. 68700
C) Rs. 74000	D) Rs. 94060

Answer & Explanation Answer: A) Rs. 87400

Explanation:

Let the total amount he had with = Rs. p

From the given data,

p - 38460 - 24468 = 28p/100

p - 28p/100 = 24468 + 38460

72p/100 = 62928

72p = 62928 x 100

p = 62928 x 100/72

p = 87400

Hence, the total amount he had = p = Rs. 87400.

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

4 3115

Q:

A thief drives his motor cycle at a speed of x kmph. The Policemen started chasing him in a jeep after 4 hrs and catches in 4 hrs. If the speed of jeep of policemen is 40 kmph, then calculate the speed of thief's motorcycle in kmph?

A) 30	B) 36
C) 45	D) 20

Answer & Explanation Answer: D) 20

Explanation:

Given that, speed of thief motorcycle is x kmph .

Given that, policemen started chasing him after 4 hours and catches him in 4 hours.

Distance travelled by the thief in 4 + 4 = 8 hours is d = s t

=> d = 8x kms

Distance covered by the police in 4 hours is

D = 4 x 40 = 160 kms

To catch the thief, distance covered by the thief is equal to distance covered by the police .

Therefore,

d = D

d = 8x = 160

x = 160/8 = 20

x = 20 kmph

Hence, the speed of thief's motorcycle is 20 km/hr.

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Filed Under: Time and Distance
Exam Prep: Bank Exams

0 3111

Q:

If (x/a) + (y/b) = 3 and (x/b) – (y/a) = 9, then what is the value of x/y?

A) ( b + 3 a)/( a – 3 b)	B) ( a + 3 b)/( b – 3 a)
C) (1 + 3 a)/( a + 3 b)	D) ( a + 3 b2)/( b – 3 a2)

Answer & Explanation Answer: A) ( b + 3 a)/( a – 3 b)

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

5 3108

Q:

The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?

A) 10	B) 5
C) 50	D) 25

Answer & Explanation Answer: B) 5

Explanation:

Let the larger number be p

Then, smaller number = 1/6 x p = p/6

Given difference between two numbers = 25

p - p/6 = 25

5p/6 = 25

5p = 150

p = 30

Then, p/6 = 30/6 = 5

Hence, larger number = 30 and smaller number = 5 which makes the difference = 25.

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

3 3107

Q:

Due to a price hike of 20% , 4 kg less sugar is available for Rs. 120 . What is the initial price per kg of sugar ?

A) Rs. 5 Kg	B) Rs. 4 Kg
C) Rs. 6 Kg	D) Rs. 5.5 Kg

Answer & Explanation Answer: A) Rs. 5 Kg

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

3 3105

Q:

A student multiplied a number by 5/6 instead of 6/5. What is the percentage error in the calculation?

A) 44 percent	B) 30.56 percent
C) 15.28 percent	D) 22 percent

Answer & Explanation Answer: B) 30.56 percent

Explanation:

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams

2 3105

Q:

A man travels 400 km in, partly by rail and partly by steamer. He spends 9 hours more time on steamer. If the velocity of the steamer is 30 km/hr and the velocity of rail is 70 km/hr, how much distance does he cover by steamer?

A) 309 km	B) 371 km
C) 464 km	D) 556 km

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