5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

${Cos}^{2} 90^{°} + {Cosec}^{2} 90 ° - {Cot}^{2} 45^{°} = ?$

A) 2	B) 1
C) 1/2	D) √3/2

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 47484

Q:

$Sinθ Cos (90 - θ) + Cosθ Sin (90 - θ) =$

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

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 47474

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 47467

Q:

Find the odd man out of the following number series?

22, 26, 42, 78, 142, 244

A) 244	B) 142
C) 78	D) 42

Answer & Explanation Answer: A) 244

Explanation:

The given number series 22, 26, 42, 78, 142, 244 follows a pattern that,

$22 22 + 2^{2} = 22 + 4 = 26 26 + 4^{2} = 26 + 16 = 42 42 + 6^{2} = 42 + 36 = 78 78 + 8^{2} = 78 + 64 = 142 142 + 10^{2} = 142 + 100 = 242$

Hence, the odd one in the given number series is 244.

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

3 47348

Q:

In a family, there are six members A, B, C, D, E and F.

A and B are a married couple, A being the male member. D is the only son of C, who is the brother of A. E is the sister of D. B is the daughter-in-law of F, whose husband has died. How is F related to A ?

A) Mother	B) Sister
C) Mother-in-law	D) none of these

Answer & Explanation Answer: A) Mother

Explanation:

A is a male and married to B. So, A is the husband and B is the wife. C is the brother of A. D is the son of C. E, who is the sister of D will be the daughter of C. B is the daughter-in-law of F whose husband has died means F is the mother of A.

Clearly, F is the mother of A.

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Filed Under: Blood Relations

3 47199

Q:

R+JM2$#QR?*O@7F3

Using the above sequence fill in the blank.

R#* : J?F :: $OJ : ___

A) #@3	B) QF*
C) QF#	D) MOF

Answer & Explanation Answer: C) QF#

Explanation:

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Filed Under: Alphabet Test
Exam Prep: Bank Exams

1 47160

Q:

A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

A) 10	B) 20
C) 21	D) 25

Answer & Explanation Answer: C) 21

Explanation:

Suppose the can initially contains 7x and 5x litres of mixtures A and B respectively

Quantity of A in mixture left = $(7 x - \frac{7}{12} \times 9) = (7 x - \frac{21}{4})$ litres.

Quantity of B in mixture left = $(5 x - \frac{5}{12} \times 9) = (5 x - \frac{15}{4})$ litres.

$\frac{(7 x - \frac{21}{4})}{(5 x - \frac{15}{4}) + 9} = \frac{7}{9}$

$\Rightarrow \frac{28 x - 21}{20 x + 21} = \frac{7}{9}$

$\Rightarrow x = 3$

So, the can contained 21 litres of A.

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Filed Under: Alligation or Mixture

272 47155

Q:

What is the total length intercepted between both the axes by the line 8x+4y=40?

A) 5	B) 10
C) 15	D) 20

Aptitude and Reasoning Questions

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Non Verbal Reasoning

Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Data Interpretation

Verbal Reasoning - Logical Deduction

Verbal Reasoning - Mental Ability

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