6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A clock is started at noon. By 10 minutes past 5, the hour hand has turned through

A) 145	B) 155
C) 165	D) 175

Answer & Explanation Answer: B) 155

Explanation:

Angle traced by hour hand in 12 hrs = 360º

Angle traced by hour hand in 5 hrs 10 min. i.e $\frac{31}{6}$ hrs = ${(\frac{360}{12} \times \frac{31}{6})}^{0}$ = $155^{0}$

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Filed Under: Clocks
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10 7756

Q:

The sides of a right-angled triangle are 12 cm, 16 cm, 20 cm respectively. A new right angle Δ is made by joining the midpoints of all the sides. This process continues for infinite then calculate the sum of the areas of all the triangles so made.

A) 312 sq.cm	B) 128 sq.cm
C) 412 sq.cm	D) 246 sq.cm

Answer & Explanation Answer: B) 128 sq.cm

Explanation:

Area = = 96

Sum of Area =

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21 7752

Q:

If a+b+c = 21, what is the total number of non - negative integral solutions?

A) 123	B) 253
C) 321	D) 231

Answer & Explanation Answer: B) 253

Explanation:

Number of non - negative integral solutions = $n + r - 1 C_{r - 1} = {}^{23}C_{2}$ = 253

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Filed Under: Permutations and Combinations
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4 7729

Q:

A student can divide her books into groups of 5, 9 and 13. what is the smallest possible number of the books ?

A) 487	B) 585
C) 635	D) 705

Answer & Explanation Answer: B) 585

Explanation:

The smallest possible number of books = L.C.M of 5, 9 and 13.
Therefore, L.C.M of 5,9 and 13 is = 5 x 9 x 13 = 585.

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5 7722

Q:

When the two hands are at right angles, they are ---------- minute spaces apart,

A) 13	B) 14
C) 15	D) 16

Answer & Explanation Answer: C) 15

Explanation:

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15 7720

Q:

Which of the following years have 366 days?

A) 1984	B) 1863
C) 1900	D) 2500

Answer & Explanation Answer: A) 1984

Explanation:

NOTE: When an year leaves a remainder 0 when divided by 4,then it is a leap year.

Here, 1984 divided by 4 leaves a remainder 0.

So, answer 1984 (366 days => leap year)

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Filed Under: Calendar

13 7711

Q:

Derivative of sinx by first principle?

A) -sinx	B) -cosx
C) cosx	D) sinx

Answer & Explanation Answer: C) cosx

Explanation:

Screenshot_(1)1519127168.png image

Thus, the derivative of sinx by first principle is cosx.

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4 7705

Q:

A rectangular lawn of dimensions 80 m x 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m ?

A) Rs. 3600	B) Rs. 3800
C) Rs. 3900	D) Rs. 3700

Answer & Explanation Answer: C) Rs. 3900

Explanation:

Area = (l + b – d) d

= (80 + 60 – 10)10

=> 1300 sq.mts

=> 1300 x 3 = Rs.3900

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4 7702

Quantitative Aptitude - Arithmetic Ability Questions

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