6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ?

A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840	B) Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840
C) Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840	D) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940

Answer & Explanation Answer: A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840

Explanation:

Initial investment of Ram = Rs.2500.
After 2 months he withdraw Rs.1250 from his capital.
Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months.

Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months.

And, Rakesh invested Rs.3500 for 3 months;

Their investing ratio:
Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)
= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42

Total profit for 6 months = Rs.2540
Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800
Raj's share = Rs.(2540 x 45/127) = Rs.900
Rakesh's share = Rs.(2540 x 42/127) = Rs.840

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

8 20700

Q:

The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:

A) 91	B) 910
C) 1001	D) 1911

Answer & Explanation Answer: A) 91

Explanation:

Required number of students = H.C.F of 1001 and 910 = 91

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Filed Under: HCF and LCM

34 20679

Q:

An accurate clock shows 7 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 3 o'clock in the afternoon?

A) 144º	B) 168º
C) 180º	D) 150º

Answer & Explanation Answer: C) 180º

Explanation:

Angle traced by the hour hand in 6 hours = $\frac{360^{o}}{12} \times 6$ = $180^{o}$ .

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Filed Under: Clocks
Exam Prep: CAT
Job Role: Bank Clerk

41 20659

Q:

The ratio of the father's age to the son's age is 3 : 1. The product of their ages is 147. The ratio of their ages after 5 years will be?

Answer

Let father's age be 3x and son's age be x years

$\Rightarrow 3x\times x=147$

$\Rightarrow x^{2}=49\Rightarrow x=7$

Father's age after 5 years = 3x + 5 = 26 years

Son's age after 5 years = x + 5 = 12 years

$\therefore$ Ratio of father's and son's ages = 26 : 12 = 13 : 6

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Subject: Problems on Ages

89 20646

Q:

In two triangles, the ratio of the areas is 4 : 3 and the ratio of their heights is 3 : 4. Find the ratio of their bases.

A) 13:9	B) 16:9
C) 15:9	D) 14:9

Answer & Explanation Answer: B) 16:9

Explanation:

Let the bases of the two triangles be x and y and their heights be 3h and 4h respectively.
Then, $\frac{\frac{1}{2} \times x \times 3 h}{\frac{1}{2} \times y \times 4 h} = \frac{4}{3} \Rightarrow \frac{x}{y} = \frac{4}{3} \times \frac{4}{3} = \frac{16}{9}$

Required ratio = 16 : 9.

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

24 20627

Q:

If a number 6573547x45 is divisible by 9, then find the value of x.

A) 7	B) 0
C) 8	D) 6

Answer & Explanation Answer: C) 8

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

1 20625

Q:

What will come in place of the question mark (?) in the following number series?

3240, 540, 108, 27, ?, 4.5

A) 7	B) 10
C) 9	D) 8

Answer & Explanation Answer: C) 9

Explanation:

Ans.
540 = 3240/6
108 = 540/5
27 = 108/4
? = 27/3, i.e. ? = 9

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , GATE

1 20612

Q:

The average value of property of Mittal, Ambani and Singhania is Rs.11111 crore. The property of Singhania is as less than the property of Mittal is greater than the average property of both the Singhania and Mittal. The value of property of Ambani is :

A) Rs.111 crore	B) Rs. 1111 crore
C) Rs. 11111 crore	D) can't be determined

Answer & Explanation Answer: C) Rs. 11111 crore

Explanation:

$\frac{M + A + S}{3} = 11111$

also $\frac{S + M}{2} = 11111$ ( $∵$ M - 11111 = 11111 - S)

=>A = 11111

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Filed Under: Average

13 20600

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