Free Practice Questions for Competitive Exams, Interviews, Certifications

Q:

If $3^{x} = 4^{y} = 12$ , then z is equal to

A) xy	B) x + y
C) xy/x+Y	D) 4x +3y

Answer & Explanation Answer: C) xy/x+Y

Explanation:

Taking log of all 3 we get

xln3 = yln4 =

zln12 = k

z = k/ln12 = k / ln(

3*4) = k/ln3 + ln4 = k / (k/x +k/y) = xy / (x+y)

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1552

Q:

A field can be reaped by 12 men or 18 women in 14 days. In how many days can 8 men and 16 women reap it?

A) 26 days	B) 24 days
C) 9 days	D) 8 days

Answer & Explanation Answer: C) 9 days

Explanation:

12 men or 18 women can complete in 14 days

8 men and 16 women can complete in how many days

12men = 18 women (Comparing efficiencies)

1men = 18/12 = 1.5 women

8 men and 16 women = 12women + 16 women = 28 women

18 women completes in 14 days

1 woman completes in 14*18 days

28 women completes in (14*18)/28 days = 9 days

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Filed Under: Time and Work
Exam Prep: Bank Exams

0 1406

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

2 2805

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

1 2328

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

5 1587

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

0 1401

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

3 1766

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

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