6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction ?

A) 2 9/7 km	B) 3 7/5 km
C) 1 3/4 km	D) 4 3/8 km

Answer & Explanation Answer: D) 4 3/8 km

Explanation:

Relative Speed = 5 ¾ - 4 ½ = 1 ¼

Time = 3 ½ h.

Distance = 5/4 x 7/2 = 35/8 = 4 3/8 km.

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Filed Under: Time and Distance
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9 14068

Q:

The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of ?

A) 4:5	B) 6:5
C) 3:2	D) 1:3

Answer & Explanation Answer: B) 6:5

Explanation:

4:5
3:2
-------
=> 12:15:10

12:10

=> 6:5

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Filed Under: Ratios and Proportions
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11 14062

Q:

In an exam, a candidate secured 504 marks out of the maximum mark of 'M'. If the maximum mark 'M' is converted into 800 marks, he would have secured 384 marks. What is the value of 'M' ?

A) 910	B) 1000
C) 970	D) None of the above

Answer & Explanation Answer: D) None of the above

Explanation:

504/M = 384/800

(504 x 800) / 384 = M

M = 1050

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Filed Under: Ratios and Proportions
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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13 14036

Q:

A cow s tethered in the middle of a field with a 14feet long rope.If the cow grazes 100 sq feet per day, then approximately what time will be taken by the cow to graze the whole field?

A) 616	B) 716
C) 816	D) 516

Answer & Explanation Answer: A) 616

Explanation:

area of the field grazed = (22/7) * 14 * 14 = 616 sq feet

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

5 14033

Q:

The area of the circle is 220 sq.m, the area of the square inscribed in a circle will be

A) 49	B) 70
C) 140	D) 150

Answer & Explanation Answer: C) 140

Explanation:

area of a square = $\frac{1}{2} {(d i a g o n a l)}^{2}$

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

22 14031

Q:

If $\log_{7} (2)$ = m, then $\log_{49} (28)$ is equal to ?

A) 1/(1+2m)	B) (1+2m)/2
C) 2m/(2m+1)	D) (2m+1)/2m

Answer & Explanation Answer: B) (1+2m)/2

Explanation:

$\log_{49} (28) = \frac{1}{2 \log_{7} (7 \times 4)}$

= $\frac{1}{2} + \frac{1}{2} (2 \log_{7} (2))$
= $\frac{1}{2} + \log_{7} (2)$
= $\frac{1}{2} + m$
= $\frac{1 + 2 m}{2}$ .

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Filed Under: Logarithms
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63 14021

Q:

If 25% of a number is subtracted from a second number, the second number reduces to its four-sixth. What is the ratio of the first number to the second number ?

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

Answer & Explanation Answer: A) 4:3

Explanation:

Let the numbers be p & q

q-p/4 = 4q/6

=> q-4q/6 = p/4

=> 2q/6 = p/4

=> p/q = 4/3

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Filed Under: Percentage
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16 14010

Q:

n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2*n is divided by 4 ?

A) 3	B) 2
C) 1	D) 0

Answer & Explanation Answer: B) 2

Explanation:

Let n=4*q + 3. Then, 2*n = 8*q + 6 = 4(2*q + 1) + 2.
Thus when 2*n is divided by 4, the reminder is 2.

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Filed Under: Numbers

22 13995

Quantitative Aptitude - Arithmetic Ability Questions

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