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Q:

How many pairs (A, B) are possible in the number 479865AB if the number is divisible by 9 and it is given that the last digit of the number is odd?

A) 5 B) 6
C) 9 D) 11
 
Answer & Explanation Answer: A) 5

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Filed Under: Numbers
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Q:

Which one of the following is an irrational number?

A) √59059 B) 231/593
C) 0.454545.... D) 0.121122111222
 
Answer & Explanation Answer: D) 0.121122111222

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Q:

What is 0.53 + 0.53equal to ?

A) 1.068 B) 1.072
C) 1.082 D) 1.096
 
Answer & Explanation Answer: A) 1.068

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Q:

If a : b = c : d = 1 : 6, then what is the value of a2+c2b2+d2?

A) 1/600 B) 1/60
C) 1/36 D) 1/360
 
Answer & Explanation Answer: C) 1/36

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

For any two real numbers a and b.

a-b2+b-a2 is

A) always zero B) never zero
C) positive only if a ≠ b D) positive if an only if a > b
 
Answer & Explanation Answer: C) positive only if a ≠ b

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Q:

In a class of 100 students, the average weight is 30 kg. If the average weight of the girls is 24 kg and that of the boys is 32 kg, then what is the number of girls in the class?

A) 25 B) 26
C) 27 D) 28
 
Answer & Explanation Answer: A) 25

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Filed Under: Average
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Q:

Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:

1) Both p and q may be prime numbers.

2) Both p and q may be composite numbers

3) one of p and q may be prime and the other composite.

Which of the above statements are correct?

 

 

A) 1 and 2 only B) 2 and 3 only
C) 1 and 3 only D) 1, 2 and 3
 
Answer & Explanation Answer: D) 1, 2 and 3

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Q:

A plane is going in circles around an airport. The plane takes 3 minutes to complete one round. The angle of elevation of the plane from a point P on the ground at time t seconds is equal to that at time (t + 30) seconds. At time (t + x) seconds, the plane flies vertically above the point P. What is x equal to?

A) 75 seconds B) 90 seconds
C) 105 seconds D) 135 seconds
 
Answer & Explanation Answer: C) 105 seconds

Explanation:
Let the plane be at point A at t se
conds and at point B
after t + 30 seconds
Since the motion is uniform, we can say that at time t+15 seconds, the plane is above the point is
diametrically opposite to the point P from where the angle is same.
Now since the time taken to cover the full circ
le is 3 minutes (180
seconds), the time taken by the plane
to reach the diametrically opposite point will be 90 seconds.
So the time after which the plane reaches the point P will be = t+ 15 + 90 seconds = (t + 105 )seconds
 
 
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Filed Under: Time and Distance
Exam Prep: Bank Exams