6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A is a working and B is sleeping partners in a business. A puts in Rs. 5000 and B puts in Rs.6000. A receives % of the profit for managing the business and the rest is divided in proportion to their capital. What does each get out of a profit of Rs. 880?

Answer

Total profit = Rs. 880

A's share for managing the business i.e

$\inline 12\frac{1}{2}$ % = $\inline \frac{25\times 880}{200}=Rs.110$

Remaining profit of A and B as per their capital = 880 - 110 = Rs. 770

Ratio of amounts = 5000 : 6000 = 5 : 6

Sum of ratios = 5 + 6 = 11

A's share = $\inline 770\times \frac{5}{11}= Rs.350$

A's total share = 350 + 110 = Rs. 460

B's share = $\inline 770\times \frac{6}{11}=Rs.420$

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Subject: Partnership

85 52938

Q:

The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:

A) 74	B) 94
C) 184	D) 364

Answer & Explanation Answer: D) 364

Explanation:

L.C.M. of 6, 9, 15 and 18 is 90.

Let required number be 90k + 4, which is multiple of 7.

Least value of k for which (90k + 4) is divisible by 7 is k = 4.

=>Required number = (90 x 4) + 4 = 364.

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Filed Under: HCF and LCM

88 52804

Q:

Pick an odd man in the given number series?

4 12 38 87 198

A) 12	B) 38
C) 87	D) 198

Answer & Explanation Answer: A) 12

Explanation:

The given series follows a pattern that,

$4 + 3^{2} = 4 + 9 = 13 13 + 5^{2} = 13 + 25 = 38 38 + 7^{2} = 38 + 49 = 87 87 + 9^{2} = 87 + 81 = 198$

Hence, the odd man in the given number series is 12.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

4 52704

Q:

If $\tan^{4} θ + \tan^{2} θ = 2$ , then $\sec^{4} θ - \sec^{2} θ = ?$

A) 0	B) 3
C) 2	D) 1

Answer & Explanation Answer: C) 2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 52694

Q:

What is the simplified value of

$\frac{1}{\sqrt{25} - \sqrt{24}} - \frac{1}{\sqrt{24} - \sqrt{23}} + \frac{1}{\sqrt{23} - \sqrt{22}} - \frac{1}{\sqrt{22} - \sqrt{21}} + \frac{1}{\sqrt{21} - \sqrt{20}}$ ?

A) 5 + 2√5	B) 5 – 5√2
C) √25 + √21	D) √25 – 4

Answer & Explanation Answer: A) 5 + 2√5

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 52686

Q:

∆DEF is right angled at E. If secD = 17/8, then what is the value of cosF?

A) 15/17	B) 15/8
C) 8/17	D) 17/15

Answer & Explanation Answer: A) 15/17

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 52603

Q:

Reena and Shaloo are partners in a business, Reena invests Rs, 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months, out of a profit of Rs. 31,570, Reena's share is :

A) 12628	B) 18245
C) 11235	D) 10253

Answer & Explanation Answer: A) 12628

Explanation:

Ratio of their shares = (35000 * 8) : (42000 * 10) = 2 : 3.

Reena's share Rs. 31570 * (2 / 5) = Rs. 12628.

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Filed Under: Partnership

31 52590

Q:

What is the probability of getting a sum 9 from two throws of a dice?

A) 1/2	B) 3/4
C) 1/9	D) 2/9

Answer & Explanation Answer: C) 1/9

Explanation:

In two throws of a die, n(S) = (6 x 6) = 36.

Let E = event of getting a sum ={(3, 6), (4, 5), (5, 4), (6, 3)}.

P(E) =n(E)/n(S)=4/36=1/9.

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Filed Under: Probability

80 52531

Quantitative Aptitude - Arithmetic Ability Questions

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