6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

64 boys and 40 girls form a group for social work. During their membership drive, the same number of boys and girls joined the group. How many members does the group have now, if the ratio of boys to girls is 4:3 ?

A) 168	B) 201
C) 147	D) 154

Answer & Explanation Answer: A) 168

Explanation:

Let us say x boys and x girls joined the group.

(64 + x)/(40 + x) = 4/3

192 + 3x = 160 + 4x => x = 32

Number of members in the group = 64 + x + 40 + x

= 104 + 2x = 168.

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

16 14686

Q:

A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?

A) 0.75D	B) 0.76D
C) 0.765D	D) None of the above

Answer & Explanation Answer: C) 0.765D

Explanation:

If the price is reduced by 15 %, then the new price will be 0.85D

If this new price is further reduced by 10%, the discounted price will be 0.9 x 0.85D = 0.765D

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Filed Under: Percentage
Exam Prep: GRE

12 14678

Q:

P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, P's speed is equal to ?

A) 3 km/hr	B) 4 km/hr
C) 5 km/hr	D) 6 km/hr

Answer & Explanation Answer: B) 4 km/hr

Explanation:

Let P's speed = x km/hr. Then, Q's speed = (7 - x) km/ hr.

So, 24/x + 24/(7 - x) = 14

$x^{2}$ - 98x + 168 = 0

(x - 3)(x - 4) = 0 => x = 3 or 4.

Since, P is faster than Q,

so P's speed = 4 km/hr and Q's speed = 3 km/hr.

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

16 14671

Q:

The perimeter of a square is equal to twice the perimeter of a rectangle of length 8cm and breadth 7cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ?

A) 55.12 cm	B) 22.54 cm
C) 42.51 cm	D) 38.57 cm

Answer & Explanation Answer: D) 38.57 cm

Explanation:

We know that perimeter of rectangle = 2(l+b) = 2(8+7)= 30cm
Given perimeter of square is twice the perimeter of rectangle = 2(30) = 60cm
Therefore, side of the square is = 1/4 x 60 = 15cm
Circumference of the required semicircle = $πr + 2 r$ = $\frac{22}{7} \times \frac{15}{2} + 2 \times \frac{15}{2}$ = 23.57 + 15 = 38.57cm.

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Filed Under: Area
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

6 14666

Q:

Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes.

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

Answer & Explanation Answer: A) 3:1

Explanation:

$\frac{v 1}{v 2} = \frac{{r_{1}}^{2} H}{{r_{2}}^{2} H}$

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

28 14639

Q:

What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ?

A) 844	B) 814
C) 840	D) 820

Answer & Explanation Answer: B) 814

Explanation:

Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.
Area of each tile = (41 x 41) sq.cm

Required number of tiles =1517 x 902/(41 x 41) = 814.

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

8 14610

Q:

The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the maximum distance from A to C?

A) 11	B) 8
C) 2	D) 4

Answer & Explanation Answer: A) 11

Explanation:

Do not assume that AB and C are on a straight line. Make a diagram with A and B marked 5 miles apart. Draw a circle centered on B, with radius 6. C could be anywhere on this circle. The minimum distance will be 1, and maximum 11

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Filed Under: Time and Distance
Exam Prep: GRE

20 14609

Q:

The banker's discount on a certain sum due 2 years hence is11/10of the true discount.

The rate percent is:

A) 10%	B) 7%
C) 8%	D) 5%

Answer & Explanation Answer: D) 5%

Explanation:

Let T.D. be Re. 1.

Then, B.D. = Rs.11/10= Rs. 1.10.

Sum = Rs. (1.10*1)/(1.10-1) = Rs. (110/10)= Rs. 11.

S.I. on Rs. 11 for 2 years is Rs. 1.10

Rate = [(100 x 1.10)/(11 x 2 )]% = 5%.

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Filed Under: Banker's Discount

7 14593

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