A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:

A.

14 years

B.

19 years

C.

33 years

D.

38 years

Answer: Option A

Explanation:

Let the son's present age be x years. Then, (38 - x) = x

A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

5.

How many marks did Tarun secure in English?

I.

The average mark obtained by Tarun in four subjects including English is 60.

II.

The total marks obtained by him in English and Mathematics together are 170.

III.

The total marks obtained by him in Mathematics and Science together are 180.

A.

I and II only

B.

II and III only

C.

I and III only

D.

All I, II and III

E.

None of these

Answer: Option E

Explanation:

I gives, total marks in 4 subjects = (60 x 4) = 240.

A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?

A.

11:30 A.M.

B.

12 noon

C.

12:30 P.M.

D.

1:00 P.M.

Answer: Option D

Explanation:

(P + Q + R)'s 1 hour's work =

1

+

1

+

1

=

37

.

8

10

12

120

Work done by P, Q and R in 2 hours =

37

x 2

=

37

.

120

60

Remaining work =

1 -

37

=

23

.

60

60

(Q + R)'s 1 hour's work =

1

+

1

=

11

.

10

12

60

Now,

11

work is done by Q and R in 1 hour.

60

So,

23

work will be done by Q and R in

60

x

23

=

23

hours 2 hours.

60

11

60

11

So, the work will be finished approximately 2 hours after 11 A.M., i.e., around 1 P.M.

In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

A.

2700

B.

2900

C.

3000

D.

3100

Answer: Option A

Explanation:

Number of valid votes = 80% of 7500 = 6000.

Valid votes polled by other candidate = 45% of 6000

Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:

A.

2 : 3

B.

4 : 3

C.

6 : 7

D.

9 : 16

Answer: Option B

Explanation:

Let us name the trains as A and B. Then,

(A's speed) : (B's speed) = b : a = 16 : 9 = 4 : 3.

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.

A.

Rs. 1900

B.

Rs. 2660

C.

Rs. 2800

D.

Rs. 2840

Answer: Option B

Explanation:

For managing, A received = 5% of Rs. 7400 = Rs. 370.

Balance = Rs. (7400 - 370) = Rs. 7030.

Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)