5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:

A) 2	B) 3
C) 4	D) 5

Answer & Explanation Answer: A) 2

Explanation:

Amount = Rs. (30000 + 4347) = Rs. 34347

(1+7/100)^n=34347

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 3447

Q:

$[\frac{3 \sqrt{2}}{\sqrt{6} - \sqrt{3}} - \frac{4 \sqrt{3}}{\sqrt{6} - \sqrt{2}} - \frac{6}{\sqrt{8} - \sqrt{12}}] = ?$

A) sqtr{3}-sqrt{2}	B) sqtr{3}+sqrt{2}
C) 5sqrt{3}	D) 1

Answer & Explanation Answer: C) 5sqrt{3}

Explanation:

Given Exp = $\frac{3 \sqrt{2}}{\sqrt{6} - \sqrt{3}} \times \frac{\sqrt{6} + \sqrt{3}}{\sqrt{6} + \sqrt{3}} - \frac{4 \sqrt{3}}{\sqrt{6} - \sqrt{2}} \times \frac{\sqrt{6} + \sqrt{2}}{\sqrt{6} + \sqrt{2}} - \frac{6}{2 (\sqrt{2} - \sqrt{3})}$

= $\frac{3 \sqrt{2} (\sqrt{6} + \sqrt{3})}{6 - 3} - \frac{4 \sqrt{3} (\sqrt{6} + \sqrt{2})}{6 - 2} + \frac{3}{(\sqrt{3} - \sqrt{2})} \times \frac{(\sqrt{3} + \sqrt{2})}{(\sqrt{3} + \sqrt{2})}$

= $\sqrt{2} (\sqrt{6} + \sqrt{3}) - \sqrt{3} (\sqrt{6} + \sqrt{2}) + 3 (\sqrt{3} + \sqrt{2})$

= $\sqrt{12} + \sqrt{6} - \sqrt{18} - \sqrt{6} + 3 \sqrt{3} + 3 \sqrt{2}$

= $5 \sqrt{3}$

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Filed Under: Square Roots and Cube Roots

4 3446

Q:

Consider the argument and decide which of the given assumptions is/are implicit.

Argument :

With immediate effect, the government asked to shut down all the schools for one week in the region due to severe cold wave.

Assumptions:

1. The cold wave may continue for one week.

2. Concerned parents may not allow their children to attend the school after one week also.

A) Only assumption 1 is implicit	B) Both 1 and 2 are implicit
C) Only assumption 2 is implicit	D) Neither 1 nor 2 is implicit

Answer & Explanation Answer: A) Only assumption 1 is implicit

Explanation:

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Filed Under: Statement and Assumptions
Exam Prep: Bank Exams

1 3443

Q:

A certain sum is invested for 2 years in scheme M at 20% p.a. compound interest (compounded annually), Same sum is also invested for the same period in scheme N at k% p.a. simple interest. The interest earned from scheme M is twice of that earned from scheme N. What is the value of k?

A) 7	B) 11
C) 9	D) 13

Answer & Explanation Answer: B) 11

Explanation:

Interest earned in scheme M =

$P [{(1 + \frac{20}{100})}^{2} - 1] = \frac{11 P}{25}$

Interest earned in scheme N =

$\frac{P x k x 2}{100} = \frac{P k}{50}$

Now, from the given data,

$\frac{11 P}{25} = 2 x \frac{P k}{50}$

k = 11

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Filed Under: Compound Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

20 3442

Q:

Sharon Stone deposits $500 at the beginning of each 3 months in an account earning 10% compounded quarterly. Determine how much money she has after 25 years

A) 22681.19	B) 23456
C) 44577	D) 25685

Answer & Explanation Answer: A) 22681.19

Explanation:

S=R[(1+i)^n-1)/i]

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 3442

Q:

Twenty percent of Karthik’s monthly salary is equal to thirty two percent of Nikitha’s monthly salary. Vipin’s monthly salary is four fifth that of Nikitha’s monthly salary. If Vipin’s annual salary is Rs. 3.84 lakhs, what is Karthik’s monthly salary?

A) 32,000	B) 64,000
C) 40,000	D) 52,000

Answer & Explanation Answer: B) 64,000

Explanation:

From the given data,

20% of K = 32% of N

V = 4/5 N

Given Vipin's salary = 3.84 lpa = 3.84/12 = 32,000 per month

Now, N = 5/4 x 32000 = 40000

Now K = 32/20 x 40000 = 64000

Hence, karthik's monthly salary = Rs. 64000.

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

10 3439

Q:

A retirement benefit of $12,000 is to be paid every 6 months for 25 years at interest rate of 7% compounded semi-annually. Find

(a) the present value to fund the end-of-period retirement benefit.

(b) the end-of-period semi-annual payment needed to accumulate the value in part (a) assuming regular investments for 30 years in an account yielding 8% compounded semi-annually

A) 245678	B) 234689
C) 281468.06	D) 234578

Answer & Explanation Answer: C) 281468.06

Explanation:

R=S[i/(1+i)^n-1]

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 3435

Q:

Which of the diagrams given below correctly represents the relationship among WOMEN, MOTHERS, SPINSTERS

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

Aptitude and Reasoning Questions

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Non Verbal Reasoning

Quantitative Aptitude - Arithmetic Ability

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