6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A fast moving superfast express crosses another pasenger train in 20 seconds. The speed of faster train is 72 km/hr and speeds of slower train is 27 km/h. Also the length of faster ntrain is 100m, then find the length of the slower train if they are moving in the same direction.

A) 100 m	B) 125 m
C) 150 m	D) 175 m

Answer & Explanation Answer: C) 150 m

Explanation:

$T i m e = \frac{S u m o f l e n g t h o f t h e t w o t r a i n s}{D i f f e r e n c e i n s p e e d s}$

$20 = \frac{(100 + x)}{\frac{25}{2}}$

$\Rightarrow$ X=150m

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Filed Under: Logarithms

45 8535

Q:

Given that 10^0.48 = x, 10^0.70 = y and x^z = y², then the value of z is close to ___ ?

A) 3.7	B) 2.7
C) 3.6	D) 2.9

Answer & Explanation Answer: D) 2.9

Explanation:

x^z = y² 10^(0.48z) = 10^{(2 x 0.70)} = 10^1.40

0.48z = 1.40

z = 140/18 = 35/12 = 2.9 (approx.)

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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10 8532

Q:

If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. What is the sum of the digits of N ?

A) 6	B) 8
C) 4	D) 9

Answer & Explanation Answer: C) 4

Explanation:

N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305)

= H.C.F. of 3360, 2240 and 5600 = 1120.

Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4

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Filed Under: HCF and LCM
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17 8525

Q:

Along a yard 225 metres long, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees

A) 8	B) 9
C) 10	D) 11

Answer & Explanation Answer: B) 9

Explanation:

26 trees have 25 gaps between them,
Required distance (225/25) = 9

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Filed Under: Simplification

6 8521

Q:

A train covered k km at 40 kmph and another 2k km at 20 kmph. Find the average speed of the train in covering the entire 3k km ?

A) 28 kmph	B) 24 kmph
C) 26 kmph	D) 32 kmph

Answer & Explanation Answer: B) 24 kmph

Explanation:

Total time taken = k/40 + 2k/20 hours

= 5k/40 = k/8 hours

Average speed = 3k/(k/8) = 24 kmph.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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6 8518

Q:

In what time will Rs. 3300 becomes Rs. 3399 at 6% per annum interest compounded half-yearly ?

A) Quarter months	B) Half year
C) 2 years	D) 1 year

Answer & Explanation Answer: B) Half year

Explanation:

3300 ----- 3% ↑ (1st time interval, 99) → 3399.

Here, time interval is given as half-yearly i.e. 6 months.

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Filed Under: Compound Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 8517

Q:

40 % of 250 = 50% ?

A) 200	B) 100
C) 150	D) 400

Answer & Explanation Answer: A) 200

Explanation:

As per given

$\frac{40}{100} \times 250 = \frac{50}{100} \times x$

$\Rightarrow x = 200$

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams
Job Role: Bank PO

6 8516

Q:

Mr. Karthik drives to work at an average speed of 48 km/hr. Time taken to cover the first 60% of the distance is 20 minutes more than the time taken to cover the remaining distance. Then how far is his office ?

A) 40 km	B) 50 km
C) 70 km	D) 80 km

Answer & Explanation Answer: D) 80 km

Explanation:

Let the total distance be 'x' km.

Time taken to cover remaining 40% of x distance is $t 1 = \frac{40 \times x}{100 \times 48}$

But given time taken to cover first 60% of x distance is $t 2 = t 1 + \frac{20}{60} h r s$

$t 2 = \frac{60 \times x}{100 \times 48}$

$∴ \frac{60 \times x}{100 \times 48} = \frac{40 \times x}{100 \times 48} + \frac{20}{60}$

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