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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
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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
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Q:

A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?

A) 45, 10	B) 10, 50
C) 9, 50	D) 50, 15

Answer & Explanation Answer: C) 9, 50

Explanation:

Let the age of A = A, B = B and C = C

From given

A = 3B

4 years ago,

C-4 = 2(A-4);

After 4 years

A + 4 = 31;

A = 27;
sub in above B, we get B = 9
C = 2(27 - 4) + 4 = 46 + 4 = 50

Hence B = 9yrs and C = 50yrs.

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Filed Under: Problems on Ages
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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
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Q:

A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's husband age is ?

A) 45	B) 24
C) 42	D) 54

Answer & Explanation Answer: D) 54

Explanation:

By trial and error method from the given options,

as 54 - 45 = (1/11) x (45+54) = 99/11 = 9

Hence this satisfies the given conditions.

Then the woman's husband age is 54.

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Filed Under: Problems on Ages
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Q:

There are two examinations rooms P and Q. If 10 students are sent from P to Q, then the number of students in each room is the same. If 20 candidates are sent from Q to P, then the number of students in P is double the number of students in Q. The number of students in room Q is ?

A) 100	B) 70
C) 120	D) 80

Answer & Explanation Answer: D) 80

Explanation:

If 'k' is number of students in P and 'l' is number of students in Q, then
From the given conditions, we have
=> k - 10 = l + 10 .......(1)
=> k + 20 = 2(l - 20) ....(2)

Solving these eqns, we get
k = 100 and l = 80.
Therefore, number of students in class Q is 80.

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Filed Under: Arithmetical Reasoning
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Q:

The reflex angle between the hands of a clock at 11:35 is ?

A) 137.5 degrees	B) 222.5 degrees
C) 192.5 degrees	D) 330 degrees

Answer & Explanation Answer: B) 222.5 degrees

Explanation:

Apply the formula for finding the angle:
Angle=(30h-(11/2)m( where m stands for minutes and h stands for hours)
Hence, 30x11 - 11/2x35 = 330 - 192.5 = 137.5 degrees
The reflex angle = 360 - 192.5 degree = 222.5 degrees.

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Filed Under: Clock puzzles
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