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Q:

Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ?

A) [1, 32]	B) (0, 1)
C) [1, 1/2]	D) (1, 1/2]

Answer & Explanation Answer: C) [1, 1/2]

Explanation:

Probability of atleast one failure
= 1 - no failure > 31/32
= 1 - $P^{5}$ > 31/32
= $P^{5} <$ 1/32
= p < 1/2
Also p > 0
Hence p lies in [0,1/2].

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Filed Under: Probability
Exam Prep: CAT , AIEEE
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Q:

Consider the following statements

P : Suman is brilliant
Q : Suman is rich
R : Suman is honest

The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as

1) $(P \land ~ R) \leftrightarrow Q$

2) $~ (P \land R) \leftrightarrow Q$

3) $Q \leftrightarrow (P \land ~ R)$

4) $~ (Q \leftrightarrow (P \land ~ R))$

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

Answer & Explanation Answer: D) 4

Explanation:

Suman is brilliant and dishonest is P $\land$ ~ R
Suman is brilliant and dishonest iff suman is rich is
Q $\leftrightarrow$ (P $\land$ ~ R)

Negative of statement is expressed as
~ (Q $\leftrightarrow$ (P $\land$ ~ R)).

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Filed Under: Arithmetical Reasoning
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Q:

Between two book-ends in your study are displayed your four favourite love story books. If you decide to arrange the four books in every possible combination and moved just one book every minute, how long would it take you ?

A) 54 minutes	B) 32 minutes
C) 48 minutes	D) 24 minutes

Answer & Explanation Answer: C) 48 minutes

Explanation:

Possible arrangements for 4 books are 4x3x2x1 = 24
For making a new arrangement, two books are required to be moved.
One book takes one minute, then for 2 books
So total 24 x 2 = 48 mins.

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Filed Under: Logic
Exam Prep: Bank Exams
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Q:

Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77, but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ?

A) Rs. 13 and Rs. 17	B) Rs. 17 and Rs. 19
C) Rs. 23 and Rs. 17	D) Rs. 13 and Rs. 19

Answer & Explanation Answer: A) Rs. 13 and Rs. 17

Explanation:

If fares for cities L and M from K are x and y respectively, then

2x + 3y = 77 or 6x + 9y = 231...(1)
3x + 2y = 73 or 6x + 4y = 146...(2)

subtracting 2 from 1, we get

5y = 85

y = Rs. 17 => x = Rs. 13

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT
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Q:

Statement: If the retired professors of the same institutes are also invited to deliberate on restructuring of the organization, their contribution may be beneficial to the institute.

Course of action:
a) Management may seek option of the employees before calling retired professors.
b) Management should involve experienced people for the systematic restructuring of the organization.

A) Only a follows	B) Neither a nor b follows
C) Both a & b follows	D) Only b follows

Answer & Explanation Answer: D) Only b follows

Explanation:

Valuable suggestion from the retired professors will be helpful for restructuring of an organisation. Hence, management should involve such experienced people. Seeking permission from the employees is not the right course of action.

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Filed Under: Statement and Courses of Action
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Q:

App to locate board exam centre for students launched by ?

A) CBSE	B) IIT
C) JNU	D) NCERT

Answer & Explanation Answer: A) CBSE

Explanation:

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Filed Under: Inventions
Exam Prep: Bank Exams
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Q:

India's longest cable-bridge inaugurated by PM Modi in which state ?

A) Assam	B) Telangana
C) Gujarat	D) Karnataka

Answer & Explanation Answer: C) Gujarat

Explanation:

PM Modi Inaugurated India's Longest Cable Bridge in Gujarat, a four-lane bridge over the river Narmada in Bharuch. The bridge is 1344 metres long and 22.8 metres wide. It is built by Larsen and Turbo as a part of the Rs. 379 crore project of the National Highway Authority of India.

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Filed Under: Longest, Shortest, Deepest
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Q:

In these series, you will be looking at both the letter pattern and the number pattern. Fill the blank in the middle of the series or end of the series.
SCD, TEF, UGH, ____, WKL

A) UJI	B) VIJ
C) XLM	D) DOP

Answer & Explanation Answer: B) VIJ

Explanation:

First letter series S,T,U,V
second and third letter series CD,EF,GH,IJ...
so answer = VIJ

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Filed Under: Alphabet Test
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
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