Level 1- Data Sufficiency Practice Quiz 2- Easy

Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the answer:

1. What is the marked price of the shirt?
I.  A shopkeeper purchases 2 shirts for 2200 Rs. and earns 55 Rs. per shirt after giving 23% discount.
II.  A shopkeeper marks the price 36% more than the cost price and earns 200 Rs. after giving some discount.

A The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C The data in statements I alone or in statement II alone is sufficient to answer the question.

D The data in both the statements I and II is not sufficient to answer the question.

E The data in both the statements I and II together is necessary to answer the question.

A

From Statement I:

The cost price of a shirt = 1100 Rs.

Selling price = 1100 + 55 = 1155 Rs.

Marked price = 1155 / 77 × 100 = 1500 Rs.

Statement I is sufficient to answer the question.

From Statement II:

Let the cost price = x Rs.

Marked price  = x × 136% = 1.36x

Selling price = x + 200

Statement II is not sufficient to answer the question.

Hence, option A is correct.

2. What is the present age of Sanjeev?

I. Sanjeev is 4 years younger than Anuj. The ratio of the age of Anuj and Vipin is 4 : 5.

II. Vipin is 1 year older than Sanjeev and the present age of Anuj is 20 years.

III. The present age of Sanjeev is 5 years less than the age of Mohan.

A The data in statements I and II are sufficient to answer the question, while the data in statement III alone is not sufficient to answer the question.
B The data in statements II alone is sufficient to answer the question, while the data in statement I and III are not sufficient to answer the question.
C The data in statements I alone or in statement II alone or Statement III alone is sufficient to answer the question.
D The data in all the statements I, II and III are not sufficient to answer the question.
E The data in all the statements I, II and III together are necessary to answer the question.

Correct Option: A
From Statement I:

Let Anuj = 4x, Vipin = 5x

Sanjeev = 4x + 4

From Statement II:

Anuj = 20 years, Sanjeev = x, Vipin = x + 1

Statement III:

Let age of Mohan = m years

Sanjeev = m – 5 years

From Statement I + Statement II:
Anuj = 20 years, Vipin = 20/4x × 5x = 25 years
Sanjeev = 25 – 1 = 24 years

Statement I and II both are necessary to answer the question.

Hence, option A is correct.

3. What is the length of the train X?

I. Two trains X and Y running in opposite directions and cross each other in 25 seconds.

II. The length of the train Y is 320m and the difference between the speeds of trains X and Y is 14 km/h.

III. The ratio of the speed of the trains is 19 : 26.
A The data in statements I and statements II are sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B The data in statements II alone is sufficient to answer the question, while the data in statement I and III is not sufficient to answer the question.
C The data in statements I alone or in statement II alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
D The data in all the statements I, II and III is not sufficient to answer the question.
E The data in all the statements I, II and III together is necessary to answer the question.

Correct Option: E
From Statement I:

Time = 25 seconds

Relative speed = length of trains/time
= length of trains/25
From Statement II:

Length of train Y = 320m

Difference of speed = 14 km/h

From Statement III:

Let the speeds = 19x, 26x

Statement I + Statement II + Statement III

26x – 19x = 14

7x = 14

x = 2

Speed = 52 km/h, 38 km/h

(52 + 38) × 5 /18= (a + 320)/ 25
25 × 25 = a + 320

625 – 320 = a

a = 305 m

Therefore, all the statements are necessary to answer the question.

Hence, option E is correct.