A shopkeeper sells some toys at Rs. 250 each. What percent profit does he make? To find the answer, which of the following information given in Statements I and II is/are necessary?

I.

Number of toys sold.

II.

Cost price of each toy.

A.

Only I is necessary

B.

Only II is necessary

C.

Both I and II are necessary

D.

Either I or II ins necessary

E.

None of these

Answer: Option B

Explanation:

S.P. = Rs. 250 each.

To find gain percent, we must know the C.P. of each.

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m^{3}, then the rise in the water level in the tank will be:

A.

20 cm

B.

25 cm

C.

35 cm

D.

50 cm

Answer: Option B

Explanation:

Total volume of water displaced = (4 x 50) m^{3} = 200 m^{3}.

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.

What is R's share of profit in a joit venture?

I.

Q started business investing Rs. 80,000.

II.

R joined him after 3 months.

III.

P joined after 4 months with a capital of Rs. 1,20,000 and got Rs. 6000 as his share profit.

A.

All I, II and III

B.

I and III only

C.

II and III only

D.

Even with all I, II and III, the answer cannot be arrived at

E.

None of these

Answer: Option D

Explanation:

From I, II and III, we get P : Q : R = (120000 x 8) : (80000 x 12) : (x x 9).

Since R's investment is not given, the above ratio cannot be give.

Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?

Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

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.

17.

What is Arun's present age?

I.

Five years ago, Arun's age was double that of his son's age at that time.

II.

Present ages of Arun and his son are in the ratio of 11 : 6 respectively.

III.

Five years hence, the respective ratio of Arun's age and his son's age will become 12 : 7.

A.

Only I and II

B.

Only II and III

C.

Only I and III

D.

Any two of the three

E.

None of these

Answer: Option D

Explanation:

II. Let the present ages of Arun and his son be 11x and 6x years respectively.

I. 5 years ago, Arun's age = 2 x His son's age.

III. 5 years hence,

Arun's Age

=

12

Son's age

7

Clearly, any two of the above will give Arun's present age.

A, B and C enter into a partnership in the ratio : : . After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is:

A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be:

A.

10 m

B.

12.5 m

C.

17.5 m

D.

21.25 m

Answer: Option B

Explanation:

Let the height of the building x metres.

Less lengthy shadow, Less in the height (Direct Proportion)

40.25 : 28.75 :: 17.5 : x 40.25 x x = 28.75 x 17.5