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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

Explanation:

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Filed Under: Numbers
Exam Prep: Bank Exams

Q:

If a : b = c : d = 1 : 6, then what is the value of $\frac{a^{2} + c^{2}}{b^{2} + d^{2}}$ ?

A) 1/600	B) 1/60
C) 1/36	D) 1/360

Answer & Explanation Answer: C) 1/36

Explanation:

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Filed Under: Simplification
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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

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

Q:

x, y and z are three numbers such that x is 30% of z and y is 40% of z. If x is p% of y, then what is the value of p?

A) 45	B) 55
C) 65	D) 75

Answer & Explanation Answer: D) 75

Explanation:

x = 30% of z = 30z/100 = 3z/10

y = 40% of z = 40z/100 = 4z/10

According to the question,(x/y)*100 = p%

p% = 3z/100/4z/100×100= 75%

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Filed Under: Percentage
Exam Prep: Bank Exams

Q:

If 3 tan θ = cot θ where $0 < θ < π / 2$ , then what is the value of θ ?

A) π/6	B) π/4
C) π/2	D) 1

Answer & Explanation Answer: A) π/6

Explanation:

3tan θ = cot θ

3tan θ = 1/tan θ

tan2θ = 1/3

tan θ = 1/√3

θ = π/6

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Filed Under: Simplification
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Q:

If tan x = 1, 0 < x < 90, then what is the value of 2 sin x cos x?

A) 1/2	B) 1
C) √3/2	D) √3

Answer & Explanation Answer: B) 1

Explanation:

tan x = 1

then x = 45

2sin x. cos x = 2× 1/√2 x 1/√2 = 1

an x = 1

then

x = 45

o

2sin x. cos x =

2

×

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Filed Under: Simplification
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Q:

If p and q are the roots of the equation x2 –15x + r = 0 and p –q = 1, then what is the value of r ?

A) 55	B) 56
C) 60	D) 64

Answer & Explanation Answer: B) 56

Explanation:

In the below equation,

x2–15x + r = 0

sum of roots = p + q = -(-15)/1 = 15 (sum of roots for equation ax2+ bx + c is -b/a)

product of roots = pq = r/1 = r (product of roots for equation ax2+ bx + c is c/a)

given p –q = 1

also we know that p+q = 15

subtracting the squares of both

(p+q)2 + (p-q)2 = 15^2–1

p2 + q2 + 2pq –p2 –q2 +2pq = 225 -1

4pq = 224

4r = 224

r = 56

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Filed Under: Simplification
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Q:

If $a^{x} = b^{y} = c^{z}$ and $b^{2} = ac$ , then what is $\frac{1}{x} + \frac{1}{z}$ equal to ?

A) 1/y	B) -1/y
C) 2/y	D) -2/y

Answer & Explanation Answer: C) 2/y

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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