Aptitude and Reasoning Questions

Q:

P and Q are sisters. R and S are brothers. P's daughter is R's sister. What is Q's relation to S?

A) Mother B) Grandmother
C) Sister D) Aunt
 
Answer & Explanation Answer: D) Aunt

Explanation:
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Filed Under: Blood Relations
Exam Prep: Bank Exams

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Q:

If cosC + cosD = x, then value of x is

A) 2cos[(C+D)/2]cos[(C-D)/2] B) 2sin[(C+D)/2]sin[(C-D)/2]
C) 2cos[(C+D)/2]sin[(C-D)/2] D) 2sin[(C+D)/2]cos[(C-D)/2]
 
Answer & Explanation Answer: A) 2cos[(C+D)/2]cos[(C-D)/2]

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Which sentence is punctuated correctly?

A) One question you should always ask yourself: “Am I pleased with the results?” B) Always ask yourself this question: “Am I pleased with the results?
C) Always ask yourself a question like: “Am I pleased with the results?” D) One question you should always ask yourself is: “Am I pleased with the results?”
 
Answer & Explanation Answer: A) One question you should always ask yourself: “Am I pleased with the results?”

Explanation:

The second would employ a comma, or semi-colon, and not a colon so it is not properly punctuated.

 

The third sentence would not be correct because it uses 'like', usually used for comparison. Since you are not comparing two questions, it would not be appropriate.

 

The fourth sentence has 'is' before the colon, which is a implies declaration and not listing. So, again, it would not be appropriate.

 

Hence, the first sentence, however, is punctuated correctly.

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Q:

In a container, there is 960 ltr of pure milk from which 48 ltr of milk is replaced with 48 ltr of water, again 48 ltr milk is replaced by same amount of water, as this process is done once more. Now, what is the amount of pure milk?

A) 901.54 ltr B) 821.54 ltr
C) 719.64 ltr D) 823.08 ltr
 
Answer & Explanation Answer: D) 823.08 ltr

Explanation:

Amount of pure milk= a(1 –b/a)n(n = 3, a = pure milk and b = amount replaced)= 960 (1 –48/960)^3= 960(1-1/20)^3= 960 * 19/20 * 19/20*19/20= 823.08 lt.

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

1 2513
Q:

If length of each side of a rhombus PQRS is 8 cm and ∠PQR = 120°, then what is the length (in cm) of QS?

A) 4√5 B) 6
C) 8 D) 12
 
Answer & Explanation Answer: C) 8

Explanation:
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Filed Under: Area

10 2512
Q:

In these questions, the relationship between two elements is shown in the statements. These statements are followed by two conclusions.
Statement:
Y > A < N, Y = B <P
Conclusion:
I. P > A
II. N > B

A) If only conclusion I follow. B) If only conclusion II follow.
C) If either conclusion I or conclusion II follows. D) If neither conclusion I nor II follows.
 
Answer & Explanation Answer: A) If only conclusion I follow.

Explanation:

Y > A < N, Y = B <P
P > B = Y > A < N
For conclusion I -
P > B = Y > A
P > Y > A
I. P > A (True) P is greater than A is true.
For conclusion II -
B = Y > A < N
II. N > B (false) There is no relation between N and B.
Hence, only conclusion I follow.

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Filed Under: Coding and Decoding
Exam Prep: AIEEE , Bank Exams , GATE

1 2512
Q:

If the true discount on sum due 2 years hence at 14% per annum be Rs. 168, the sum due is

A) Rs. 600 B) Rs. 768
C) Rs. 878 D) Rs. 668
 
Answer & Explanation Answer: B) Rs. 768

Explanation:

We know that,

P.W = 100×T.D/R×T

= 100×168/14×2

P.W = 600.

 

Now, required Sum = (P.W. + T.D.)

= Rs. (600 + 168)

= Rs. 768.

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

7 2510
Q:

The following equation is incorrect. Which two signs should be interchanged to correct the equation? 15 x 12 + 40 ÷ 40 - 6 = 21

A) + and x B) + and ÷
C) - and + D) ÷ and x
 
Answer & Explanation Answer: A) + and x

Explanation:
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Filed Under: Mathematical Operations
Exam Prep: Bank Exams

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