6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A and B entered in a business by making investment of Rs. 4000 & Rs. 5500 respectively. After six months A & B withdrew Rs. 1000 and Rs. 1500 respectively and C joined them with capital of Rs. 4x. If after one year and three months C received Rs. 2250 as profit share out of total profit of Rs. 12250, then find investment of C?

A) Rs. 3600	B) Rs. 3200
C) Rs. 4400	D) Rs. 3000

Answer & Explanation Answer: D) Rs. 3000

Explanation:

Investment ratio of A, B & C = (4000 ×6+3000×9):(5500 ×6+4000×9):4

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT

8 6127

Q:

Meghana alone would take 32 hours more to complete a job than both Meghana and Ganesh together. If Ganesh worked alone, he took 12 1/2 hours more to complete it than both Meghana and Ganesh worked together. What time would they take if both Meghana and Ganesh worked together?

A) 20 hrs	B) 18 hrs
C) 22 hrs	D) 20.5 hrs

Answer & Explanation Answer: A) 20 hrs

Explanation:

Time taken by both Meghana and Ganesh to work together is given by =

$\sqrt{t_{1} x t_{2}}$

Where

$t_{1} = 32 h r s t_{2} = 12 \frac{1}{2} h r s = \frac{25}{2} h r s$

Therefore, time took by both to work together =

$\sqrt{32 x \frac{25}{2}} = \sqrt{16 x 25} = 4 x 5 = 20 h r s$

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

9 6125

Q:

How many seconds will a 600 m long train take to cross a man walking with a speed of 7 km/hr in the direction of the moving train if the speed of the train is 67 km/hr ?

A) 29 sec	B) 58 sec
C) 36 sec	D) 44 sec

Answer & Explanation Answer: C) 36 sec

Explanation:

Speed of train relative to man = 67 - 7 = 60 km/hr.
= 60 x 5/18 = 50/3 m/sec.

Time taken to pass the man = 600 x 3/50 = 36 sec.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

3 6124

Q:

Karthik walks at 5 km/hr and reaches his destination 8 min late. If he walks at 6 km/hr, he reaches his destination on time. What distance he will cover in given time ?

A) 10 kms	B) 8 kms
C) 6 kms	D) 4 kms

Answer & Explanation Answer: D) 4 kms

Explanation:

Let the actual distance be t kms

Now, According to the data,

$5 (t + \frac{8}{60}) = 6 t = > 5 (\frac{60 t + 8}{60}) = 6 t = > 60 t + 8 = 72 t = > 8 = 12 t = > t = 8 / 12 = 2 / 3 hrs$

Now, the total distance = 6t = 6 x 2/3 = 2 x 2 = 4 kms.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

17 6116

Q:

Find the range and mode of the data 17, 18, 28, 19, 16, 18, 17, 29, 18

A) 12 and 18	B) 13 and 18
C) 12 and 17	D) 11 and 17

Answer & Explanation Answer: B) 13 and 18

Explanation:

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Filed Under: Probability
Exam Prep: Bank Exams

39 6116

Q:

A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:

A) 10%	B) 10.08%
C) 20%	D) 28%

Answer & Explanation Answer: D) 28%

Explanation:

Let original length = x and original breadth = y.

Decrease in area = xy -[(80/100x) * (90/100y)]

=[(xy-(18/25)xy)]

=(7/25)xy

Decrease % =[(7/25)xy * (1/xy) * 100] =28%

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Filed Under: Volume and Surface Area

2 6109

Q:

The number of ways that 7 teachers and 6 students can sit around a table so that no two students are together is

A) 7! x 7!	B) 7! x 6!
C) 6! x 6!	D) 7! x 5!

Answer & Explanation Answer: B) 7! x 6!

Explanation:

The students should sit in between two teachers. There are 7 gaps in between teachers when they sit in a roundtable. This can be done in $7 P_{6}$ ways. 7 teachers can sit in (7-1)! ways.

Required no.of ways is = $7 P_{6} . 6! = 7! . 6!$

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

10 6109

Q:

If the discount on Rs. 498 at 5% simple interest is Rs.18, when is the sum due?

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

Answer & Explanation Answer: D) 9 months

Explanation:

F = Rs. 498

TD = Rs. 18

PW = F - TD = 498 - 18 = Rs. 480

R = 5%

$T D = \frac{P W \times T R}{100}$

$\Rightarrow 18 = \frac{480 \times T \times 5}{100}$

=> T = 3/4 years = 9 months

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Filed Under: Banker's Discount

4 6106

Quantitative Aptitude - Arithmetic Ability Questions

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