Aptitude and Reasoning Questions

Q:

A person walking 6/7 of his usual rate is 30 minutes late. What is his usual time ?

A) 2 hrs 50 min B) 3 hrs 25 min
C) 3 hrs D) 2 hrs 5 min
 
Answer & Explanation Answer: C) 3 hrs

Explanation:

Let t be the usual time. If the usual rate is 1 unit, then the unusual rate is 6/7.
Balance by the distance,
1 x t = (6/7)(t + 30)
7t = 6(t + 30)
we get t as,
t = 180 minutes = 3 hrs.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

2 4423
Q:

If (1 × 2 × 3 × 4 ........ × n) = n!, then 15! - 14! - 13! is equal to ___?

A) 14 × 13 × 13! B) 15 × 14 × 14!
C) 14 × 12 × 12! D) 15 × 13 × 13!
 
Answer & Explanation Answer: D) 15 × 13 × 13!

Explanation:

15! - 14! - 13!

= (15 × 14 × 13!) - (14 × 13!) - (13!)

= 13! (15 × 14 - 14 - 1)

= 13! (15 × 14 - 15)

= 13! x 15 (14 - 1)

= 15 × 13 × 13!

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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9 4422
Q:

A man reduces his travelling time by a fraction of 2/5, as a result the distance covered by the man is increased by 20%, find the percentage increase in the speed of the man ? 

A) 77% B) 88%
C) 100% D) 99%
 
Answer & Explanation Answer: C) 100%

Explanation:

IBPS RRB Clerk Level Quiz : Quantitative Aptitude | 15 -09 - 17

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Filed Under: Percentage
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7 4420
Q:

The present worth of a bill due sometime hence is Rs. 1100 and the true discount on the bill is Rs. 110. Find the banker's discount and the banker's gain.

A) Rs.145 B) Rs.136
C) Rs.121 D) Rs.112
 
Answer & Explanation Answer: C) Rs.121

Explanation:

T.D. =Ö(P.W.*B.G)

B.G. =(T.D.)2/ P.W.      

       = Rs.[(110x110)/ 1100]

       = Rs. 11.

 

B.D.= (T.D. + B.G.) = Rs. (110 + 11) = Rs. 121.

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Filed Under: Banker's Discount

1 4414
Q:

A committee of 4 people is to be formed from a group of 9 people.How many possible committees can be formed?

A) 120 B) 162
C) 126 D) 170
 
Answer & Explanation Answer: C) 126

Explanation:

This question is a combination since order is not important.

 

Answer = 7C3 = 126

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1 4411
Q:

Effect : The temple at the religious site wears a deserted look with the number of devotees trickling down.

Which of the following can be a possible cause of the above effect?

A) A structural engineer had visited the temple a month back and had declared the structure unsafe B) The temple is facing a drastic depletion of its funds which had accumulated over the years due to offerings made by devotees
C) The local corporation decided to donate a huge amount of money to the temple for its renovation D) The village housing the religious site has qualified priests to perform religious ceremonies
 
Answer & Explanation Answer: A) A structural engineer had visited the temple a month back and had declared the structure unsafe

Explanation:

The engineer's caution may have led to people keeping away from the temple

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10 4410
Q:

Let K and L be events on the same sample space, with P (K) = 0.8 and P (B) = 0.6. Are these two events are disjoint ?

A) TRUE B) FALSE
Answer & Explanation Answer: B) FALSE

Explanation:

These two events cannot be disjoint because P(K) + P(L) > 1.


P(AꓴB) = P(A) + P(B) - P(AꓵB).


An event is disjoint if P(A ꓵ B) = 0. If K and L are disjoint P(K ꓴ L) = 0.8 + 0.6 = 1.4


And Since probability cannot be greater than 1, these two mentioned events cannot be disjoint.

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Subject: Probability
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 4409
Q:

A family consists of six members P, Q, R, S, T and U. There are two married couples. Q is a doctor and the father of T. U is grandfather of R and is a contractor. S is grandmother of T and is a housewife. There is one doctor, one contractor, one nurse, one housewife and two students in the family. Who is the sister of T ? 

A) R B) U
C) T D) None of these
 
Answer & Explanation Answer: A) R

Explanation:

Q, the Doctor, is the father of T. S, the Housewife, is the grandmother of T and hence the mother of Q. Since there are only two married couples one being that of Q, the grandfather of R. i.e, U must be married to S. Thus, R and T will be both children of Q and these must be the students So, P, who remains, shall be the wife of Q and she alone can be the nurse. Thus, U must be the contractor 

Clearly, R and T are children of same parent, So. R will be the sister of T. 

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Filed Under: Blood Relations

13 4408