6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the length of the side of a regular hexagon, if its area is 54√3 sq cm?

A) 12 cm	B) 9 cm
C) 6 cm	D) 15 cm

Answer & Explanation Answer: C) 6 cm

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

1 2033

Q:

A man walks at a speed of 3 kmph. He doubles his speed after reaching exactly half way. He walks for 5 hours in all. What is the total distance travelled by him?

A) 19 km	B) 15 km
C) 12 km	D) 20 km

Answer & Explanation Answer: D) 20 km

Explanation:

Let total distance be 2D.

He walks half distance i.e, (2D/2) = 'D' distance with 3 kmph and

The next 'D' with 6 kmph.

Using formula,

Time = Distance/speed

(D/3) + (D/6) = 5

D =10 ,

Hence, Total distance 2D = 20 kms.

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Filed Under: Time and Distance
Exam Prep: Bank Exams

15 2033

Q:

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
What is the surface area of the cuboid?

A) 288 sq.cm	B) 216 sq.cm
C) 144 sq.cm	D) Cannot be determined due to insufficient data

Answer & Explanation Answer: A) 288 sq.cm

Explanation:

Let lengths, breadth and height of cuboid be l, b and h respectively

According to question

l+b+h = 22cm......(i)

and

√(l^2+b^2+h^2) = 14cm .....(ii)

Surface area of cuboid = 2(lb+bh+lh)

Squaring eq (i) gives

l^{2} + b^{2} + h^{2}

+ 2(lb+bh+lh) = 484

Substituting l^2+b^2+h^2 from eq (i)

2(lb+bh+lh) = 484 -196 = 288 sq.cm

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 2031

Q:

In the given figure, in triangle STU, ST = 8 cm,TU = 9 cm and SU = 12 cm. QU = 24 cm, SR = 32 cm and PT = 27 cm. What is the ratio of the area of triangle PQU and area of triangle PTR?

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

Answer & Explanation Answer: D) Unknown

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

1 2031

Q:

A sum of Rs. 1200 is lent to be paid back in 5 equal annual installments of Rs. 264 each. The rate of interest per annum is

A) 6%	B) 8%
C) 2%	D) 4%

Answer & Explanation Answer: C) 2%

Explanation:

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Filed Under: Simple Interest
Exam Prep: Bank Exams

3 2031

Q:

20 pens and 46 pencils were purchased for Rs. 235. If the average price of a pencil is Rs. 2.50 then calculate the average price (in Rs.) of a pen.

A) 6	B) 4
C) 8	D) 12

Answer & Explanation Answer: A) 6

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

4 2031

Q:

Which of the fractions given below, when added to 5/8, gives 1?

A) 6/16	B) 5/2
C) 6/24	D) 6/3

Answer & Explanation Answer: A) 6/16

Explanation:

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Filed Under: Decimal Fractions
Exam Prep: Bank Exams

2 2030

Q:

If a--b = 4 and ab = 45, find the value of $a^{3} - b^{3}$

A) 604	B) 370
C) 253	D) 199

Answer & Explanation Answer: A) 604

Explanation:

${(a - b)}^{2} = a^{2} + b^{2} - 2 ab \Rightarrow 16 = a^{2} + b^{2} - 90 \Rightarrow a^{2} + b^{2} = 106 a^{3} - b^{3} = (a - b) (a^{2} + b^{2} + ab) \Rightarrow a^{3} - b^{3} = 4 X (106 + 45) \Rightarrow a^{3} - b^{3} = 4 X 151 \Rightarrow a^{3} - b^{3} = 604$

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Filed Under: Simplification
Exam Prep: Bank Exams

0 2030

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