6500+ Quantitative Aptitude Questions and Answers With Explanation

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 7812

Q:

The mean of 100 observations is 40. It is found that an observation 84 was misread as 48. Then the correct mean is ?

A) 40.36	B) 41.24
C) 41.92	D) 42.05

Answer & Explanation Answer: A) 40.36

Explanation:

Given,

mean of 100 observations is 40

=> Total of 100 observations = 40 x 100 = 4000

84 is misread as 48

=> Difference = 84 - 48 = 36

=> Now, new total of 100 observations = 4000 + 36 = 4036

Correct Mean = 4036/100 = 40.36

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Filed Under: Average
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17 7812

Q:

A wheelchair slalom event, athletes weave around cones and race to the finish line. A diagram of the rectangular course 30m length &16m bredth is shown. Find the the area of the course

A) 480	B) 560
C) 180	D) 460

Answer & Explanation Answer: A) 480

Explanation:

A = lw

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Filed Under: Area
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1 7808

Q:

What is the total no of ways of selecting atleast one item from each of the two sets containing 6 different items each?

A) 2856	B) 3969
C) 480	D) None of these

Answer & Explanation Answer: B) 3969

Explanation:

We can select atleast one item from 6 different items = $2^{6} - 1$

Similarly we can select atleast one item from other set of 6 different items in $2^{6} - 1$ ways.

Required number of ways = $(2^{6} - 1) (2^{6} - 1) = {(2^{6} - 1)}^{2}$ = 3969

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Filed Under: Permutations and Combinations
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1 7797

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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4 7786

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 7780

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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Filed Under: HCF and LCM
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5 7768

Q:

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

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

Quantitative Aptitude - Arithmetic Ability Questions

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