5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

ΔPQR is right angled at Q. If m∠P = 60 deg, then find the value of (cotR + √3/2).

A) 3√3/2	B) 1+√3
C) (2√2+1)/2	D) (3√3+1)/6

Answer & Explanation Answer: A) 3√3/2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 48322

Q:

Assume 57 + 59 + 109 = 0, then find the value of $57^{3} + 59^{3} + 109^{3}$

A) 1099701	B) 1099601
C) 1099801	D) 1098701

Answer & Explanation Answer: A) 1099701

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 48304

Q:

A water tank is two-fifth full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?

A) 6 min.to empty	B) 6 min.to fill
C) 9 min.to empty	D) 9 min.to fill

Answer & Explanation Answer: A) 6 min.to empty

Explanation:

Clearly,pipe B is faster than pipe A and so,the tank will be emptied.

part to be emptied = 2/5

part emptied by (A+B) in 1 minute= $(\frac{1}{6} - \frac{1}{10}) = \frac{1}{15}$

$\frac{1}{15} : \frac{2}{5} : : 1 : x$

$\frac{2}{5} * 15 = 6 m i n s$

so, the tank will be emptied in 6 min

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Filed Under: Pipes and Cistern

87 48303

Q:

A basket contains 10 apples and 20 oranges out of which 3 apples and 5 oranges are defective. If we choose two fruits at random, what is the probability that either both are oranges or both are non defective?

A) 136/345	B) 17/87
C) 316/435	D) 158/435

Answer & Explanation Answer: C) 316/435

Explanation:

$n (s) = {}^{30}C_{2}$

Let A be the event of getting two oranges and

B be the event of getting two non-defective fruits.

and $(A \cap B)$ be the event of getting two non-defective oranges

$∴ P (A) = \frac{{}^{20}C_{2}}{{}^{30}C_{2}}, P (B) = \frac{{}^{22}C_{2}}{{}^{30}C_{2}} a n d P (A \cap B) = \frac{{}^{15}C_{2}}{{}^{30}C_{2}}$

$∴ P (A \cup B) = P (A) + P (B) - P (A \cap B)$

= $\frac{{}^{20}C_{2}}{{}^{30}C_{2}} + \frac{{}^{22}C_{2}}{{}^{30}C_{2}} - \frac{{}^{15}C_{2}}{{}^{30}C_{2}} = \frac{316}{435}$

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Filed Under: Probability

109 48227

Q:

Read the arrangement carefully and give the answer of following questions ?

K$23DBE8HM4@5JF4%K1+WR#AA*415

How many such symbols are there which is not immediately preceded by a letter but immediately followed by a number ?

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

Answer & Explanation Answer: A) 1

Explanation:

Only one such symbol is there in the given arrangement.

It is 4@5.

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Filed Under: Number, Ranking and Time Sequence Test
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
Job Role: Bank Clerk , Bank PO

52 48221

Q:

Solve the following :

$72 \div \frac{1}{2} {15 + 12 - (9 + 6 - \bar{5 + 7})} = ?$

A) 6	B) 9
C) 12	D) 8

Answer & Explanation Answer: A) 6

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 48192

Q:

Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually.

A) 612	B) 712
C) 812	D) 912

Answer & Explanation Answer: A) 612

Explanation:

Amount = Rs [7500*(1+(4/100)2] = Rs (7500 * (26/25) * (26/25) ) = Rs. 8112.
therefore, C.I. = Rs. (8112 - 7500) = Rs. 612.

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

59 48145

Q:

Select the related letters from the given alternatives.

CAE : XZV :: JHL : ?

A) QSO	B) IGK
C) PRU	D) GEI

Aptitude and Reasoning Questions

What are Different sections in Aptitude and Reasoning Question and Answers?

Why Aptitude and Reasoning Questions?

What type of questions are there in Aptitude and Reasoning tests?

Non Verbal Reasoning

Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Data Interpretation

Verbal Reasoning - Logical Deduction

Verbal Reasoning - Mental Ability

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