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Q:

If an article is sold at a gain of 6% instead of a loss of 6% the seller gets Rs. 6 more. What is the cost price of the article?

A) Rs. 18	B) Rs. 36
C) Rs. 42	D) Rs. 50

Answer & Explanation Answer: D) Rs. 50

Explanation:

Let CP be Rs x

Then

1.06x–0.94x = 6

So x = Rs 50

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

Q:

A prime number contains the digit X at unit’s place. How many such digits of X are possible?

A) 3	B) 4
C) 5	D) 6

Answer & Explanation Answer: D) 6

Explanation:

For prime no units place cannot be occupied by even number except for 2

Thus no of digits occupying unit digit of prime numbers = 6 (1,2,3,5,7,9)

Example 2,3,5,7,11,19 in itself are prime numbers

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Filed Under: Numbers
Exam Prep: Bank Exams

Q:

The number $3^{521}$ is divided by 8. What is the remainder?

A) 1	B) 3
C) 7	D) 9

Answer & Explanation Answer: B) 3

Explanation:

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Filed Under: Numbers
Exam Prep: Bank Exams

Q:

If $\frac{a}{b + c} = \frac{b}{c + a} = \frac{C}{b + a}$ then which one of the following statements is correct?

A) Each fraction is equal to 1 or -1	B) Each fraction is equal to 1/2 or 1
C) Each fraction is equal to 1/2 or -1	D) Each fraction is equal to 1.2 only

Answer & Explanation Answer: C) Each fraction is equal to 1/2 or -1

Explanation:

a/(b+c) = b/(c+a) = c/(a+b)

Taking reciprocal and adding 1 to each ratio we get;

(b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1

Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c

So this can only be equal when a=b=c or a+b+c = 0

When a=b=c we get

a/(b+c)= ½When a+b+c = 0 we get

b+c = -a

So a/(b+c) = -1

So the ratios are ½ or -1

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

A race has three parts. The speed and time required to complete the individual parts for a runner is displayed on the following chart:

Part I Part II Part III

Speed (kmph) 9 8 7.5

Time (minutes) 50 80 100

What is the average speed of this runner?

A) 8.17 kmph	B) 8.00 kmph
C) 7.80 kmph	D) 7.77 kmph

Answer & Explanation Answer: B) 8.00 kmph

Explanation:

Avg speed = Tot dist/Tot time = (45+64+75)/23 = 184/23

= 8 kmph

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Filed Under: Time and Distance
Exam Prep: Bank Exams

Q:

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
If S is sum of the cubes of the dimensions of the cuboid and V is its volume, then what is (S-3V) equal to?

A) 572 cub.cm	B) 728 cub.cm
C) 1144 cub.cm	D) None of the above

Answer & Explanation Answer: C) 1144 cub.cm

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
What is the surface area of the cuboid?

A) 288 sq.cm	B) 216 sq.cm
C) 144 sq.cm	D) Cannot be determined due to insufficient data

Answer & Explanation Answer: A) 288 sq.cm

Explanation:

Let lengths, breadth and height of cuboid be l, b and h respectively

According to question

l+b+h = 22cm......(i)

and

√(l^2+b^2+h^2) = 14cm .....(ii)

Surface area of cuboid = 2(lb+bh+lh)

Squaring eq (i) gives

l^{2} + b^{2} + h^{2}

+ 2(lb+bh+lh) = 484

Substituting l^2+b^2+h^2 from eq (i)

2(lb+bh+lh) = 484 -196 = 288 sq.cm

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

An equilateral triangle ABC is inscribed in a circle of radius 20√3.
The centroid of the triangle ABC is at a distance d from the vertex A. What is d equal to ?

A) 15 cm	B) 20 cm
C) 20√3 cm	D) 30√3 cm

Answer & Explanation Answer: C) 20√3 cm

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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