6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The difference between the time taken by two trains to travel a distance of 350 km is 2 hours 20 minutes. If the difference between their speeds is 5 km/hr, what is the speed of faster train ?

A) 36 kmph	B) 30 kmph
C) 34 kmph	D) 40 kmph

Answer & Explanation Answer: B) 30 kmph

Explanation:

Let the speed of the faster train be 'S' kmph

Then speed of the slower train will be '(S-5)' kmph

Time taken by faster train = 350/S hrs

Time taken by slower train = 350/(S-5) hrs

$\frac{350}{s - 5} - \frac{350}{s} = 2 h r s 20 m i n = 2 \frac{1}{3} = \frac{7}{3}$

=> S = 30 km/hr.

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Filed Under: Problems on Trains
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16 7679

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

15 7674

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 7651

Q:

A bag contains 3 red balls, 5 yellow balls and 7 pink balls. If one ball is drawn at random from the bag, what is the probability that it is either pink or red?

A) 2/3	B) 1/8
C) 3/8	D) 3/4

Answer & Explanation Answer: A) 2/3

Explanation:

Given number of balls = 3 + 5 + 7 = 15

One ball is drawn randomly = 15C1

probability that it is either pink or red = $\frac{7 C_{1} + 3 C_{1}}{15 C_{1}} = \frac{7 + 3}{15} = \frac{10}{15} = \frac{2}{3}$

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Filed Under: Probability
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22 7650

Q:

Mr. stenley employed a certain number of typist for his project. 8 days later 20% of the typist left the job and it was found that it took as much time to complete the rest work from then as the entire work needed with all the employed typists. The average speed of a typist is 20 pages/hour. Minimum how many typist could be employed?

A) 10	B) 5
C) 15	D) 4

Answer & Explanation Answer: B) 5

Explanation:

Since 20% i.e 1/5 typists left the job. So, there can be any value which is multiple of 5 i.e, whose 20% is always an integer. Hence, 5 is the least possible value.

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Filed Under: Time and Work

6 7648

Q:

April 19th, 1986 falls on which day?

A) Saturday	B) Wednesday
C) Thursday	D) Friday

Answer & Explanation Answer: A) Saturday

Explanation:

19th April, 1986 = (1985 years + Period from 1.1.1986 to 19.4.1986)

Odd days in 1600 years = 0

Odd days in 300 years = 1

85 years has 21 leap years + 64 ordinary years.

Number of odd days in 85 years =( 21 x 2 + 64) = 1 odd day.

Jan. Feb. March April

(31 + 28 + 31 + 19) = 109 days

109 days = 15 weeks + 4 days= 4 odd day.

Total number of odd days = (1 + 0 + 1 + 4) = 6.

Given day is Saturday.

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Filed Under: Calendar

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Q:

For $x \in N, x > 1$ , and $p = \log_{x} (x + 1)$ , $q = \log_{x + 1} (x + 2)$ then which one of the following is correct?

A) p < q	B) p = q
C) p > q	D) can't be determined

Answer & Explanation Answer: C) p > q

Explanation:

$\frac{k}{l} > \frac{k + 1}{l + 1}$ for (k,l) > 0 and k > l

Let k = x+1 and l = x

Therefore, $\frac{x + 1}{x} > \frac{(x + 1) + 1}{(x) + 1}$

(x + 1) > x

Therefore, $\frac{\log (x + 1)}{\log (x)} > \frac{\log (x + 2)}{\log (x + 1)}$

$\Rightarrow \log_{x} (x + 1) > \log_{x + 1} (x + 2)$

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Filed Under: Logarithms
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33 7638

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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Filed Under: Area
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21 7638

Quantitative Aptitude - Arithmetic Ability Questions

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