Aptitude and Reasoning Questions

Q:

If x is chosen at random from the set {1,2,3,4} and y is to be chosen at random from the set {5,6,7}, what is the probability that xy will be even?

A) 1/2 B) 2/3
C) 3/4 D) 4/3
 
Answer & Explanation Answer: B) 2/3

Explanation:
 

S ={(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)}
Total element n(S)=12

xy will be even when even x or y or both will be even.
Events of x, y being even is E.
E ={(1,6),(2,5),(2,6),(2,7),(3,6),(4,5),(4,6),(4,7)}
n(E) = 8

P(E)=n(E)n(S)=812 = 4/3

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Filed Under: Probability

15 9902
Q:

If a+b+c =21 what is the total number of positive integral solutions?

A) 109 B) 190
C) 901 D) 910
 
Answer & Explanation Answer: B) 190

Explanation:

Number of positive integral solutions =  n-1Cr-1 = C220 = 190

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Filed Under: Permutations and Combinations
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Q:

When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed ?

A) 22 B) 36
C) 32 D) 26
 
Answer & Explanation Answer: B) 36

Explanation:

Total number of students = 54 x 30
When arranged in rows of 45, number of rows formed are,
54x3045 = 36.

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Filed Under: Average
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10 9892
Q:

How many days are there in k weeks k days ?

A) 8+k days B) 7+1k days
C) 8k days D) 7/k days
 
Answer & Explanation Answer: C) 8k days

Explanation:

As we know that a week has 7 days,

k weeks k days = (7k + k) days = 8k days.

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Filed Under: Calendar
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11 9890
Q:

Select from four alternative diagrams, the one that best illustrates the relationship among the three classes  :  Pigeons, Birds, Dogs

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: A) 1

Explanation:

All Pigeons are Birds. But,Dogs are entairly different.

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Filed Under: Logical Venn Diagram

132 9889
Q:

Choose the missing terms out of the given alternatives T, R, P, N, L, ?, ?

A) K,I B) J, H
C) J, G D) K, H
 
Answer & Explanation Answer: B) J, H

Explanation:

T - 2 = R
R - 2 = P
P - 2 = N
N - 2 = L
L - 2 = J
J - 2 = H

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Filed Under: Number Series

35 9888
Q:

The probability that z lies between 0 and 3.01

A) 0.4987 B) 0.5
C) 0.9987 D) 0.1217
 
Answer & Explanation Answer: A) 0.4987

Explanation:

Probability between z = 0 and z = 3.01 is given by

P(0<z<3.01) = P(z<3.01) - P(z<0)

Reading from the z-table, we have

P(z<0) = 0.5

P(z<3.01) = 0.9987

Hence, P(0<z<3.01) = 0.9987 - 0.5 = 0.4987.

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Filed Under: Probability
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37 9885
Q:

8 years ago Rama's mother was five times older than her daughter. After 8 years the mother will be twice older than her daughter . Find the present age of Rama?

Answer

Let Rama's age 8 years ago be x years and mother's age 8 years ago be 5x



     


     


      years


Hence, present age of Rama =  years

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Subject: Problems on Ages

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