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This mock test of Data Sufficiency MCQ - 2 for LR helps you for every LR entrance exam.
This contains 20 Multiple Choice Questions for LR Data Sufficiency MCQ - 2 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

**Q(1 – 10) Each of the questions below consists of a question and three statements given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the three statements and give answer: –**

**What is the area of the hall ?**

**I. The labour cost of flooring the hall is Rs.3500**

**II. The material cost of flooring the hall per sqmetre is Rs.250**

**III. The total cost of flooring the hall is Rs.16500**

Solution:

From I, II, III

Let area be ‘x’

Total material cost = Rs.250x

Labour Cost = 250x + 3500 = 16500

X = 13000/250 = 52 sq m

QUESTION: 2

**Q(1 – 10) Each of the questions below consists of a question and three statements given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the three statements and give answer: –**

**What is the present age of Surya?**

**I. Five years ago, Surya age was double that of his son’s age that time.**

**II. Present age of Surya and his son are in the ratio of 11:6.**

**III. Five year hence, the respective ratio of Surya’s age and his son’s age become 12:7**

Solution:

Three equations and each has two variables. So from any two we can find.

According to first sentence, (S -5) = 2*(X – 5) [S is the age of Surya and x is the age of his son] According to second sentence, S:X = 11:6

According to third sentence, (S + 5)/(X +5) = 12/7

QUESTION: 3

**Q(1 – 10) Each of the questions below consists of a question and three statements given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the three statements and give answer: –**

**What is the circumference of the semi-circle?**

**I. The difference between the length and the breadth of a parallelogram is 15cm.**

**II. The area of the semi-circle is half the area of the parallelogram.**

**III. The length of the parallelogram is 2.5 times the radius of the circle.**

Solution:

From I, L-B = 15cm

From II, Area of semi-circle = Area of parallelogram/2

From II, Length of parallelogram = 2.5*radius of circle

So from all the given statements it is insufficient to answer.

QUESTION: 4

**How much time will the train A take to cross another train B running in opposite direction?**

**I.** Train A crosses a signal pole in 7s

**II**. Ratio of the speed of trains A and B is 3:5

**III.** Length of two trains together is 500m

Solution:

From Statement I, Time taken by Train A crosses a signal pole = 7s

From Statement II, Speed of Train A and Train B = 3x and 5x,Relative speed= 8x

From Statement I and Statement II. A Train’s length = 21x

B Train’s length = 500 – 21x

Time taken by A to cross B = [500-21x]+21x/8x

All the given statements are Insufficient to answer the question.

QUESTION: 5

**What is the average age of six members Mani, Naveen, Priya, Pavi, Venu and Ravi ?**

**I.** Total age of Naveen and Ravi are 16 years

**II.** Average age of Mani,Pavi are 12 years

**III.** The sum of ages of Priya and Venu are 62 years

Solution:

Three equations, three variables so we can find easily.

N+R = 16

M+P = 24

Priya+ Venu= 62

Avearge = 16+24+62/6

QUESTION: 6

**What is the population of State P?**

**I. After 19% increase the population of State P will become 20.23 lakh.**

**II. The population of state Q is 42.5 lakh**

**III. The ratio of population of State P to that of State Q is 2:5**

Solution:

From I,

Population of P =20.23 * 100/119 = 17 lakh

From II and III,

Population of P = 2/5 * 42.5 = 17 lakh

Hence, either only I or II and III.

QUESTION: 7

**How many articles were sold?**

**I. Total profit earned was Rs. 3000
II. Cost-price per article was Rs. 670
III. Selling price per article was Rs. 820**

Solution:

From statements II and III

Profit on each article = 820 – 670 = 150

From statements I, II and III

Number of articles sold

=3000/150 = 20

QUESTION: 8

**What is the rate of interest per annum ?
I.An amount double itself at SI in 10 years
II.The difference between SI and CI on an amount of Rs.20,000 in 2 years is Rs.200
III.The CI accured in 8 years is more than the amount.**

Solution:

From I :

Principal = P, Amount = 2P

Interest = 2P – P = P

SI =P = P*R*10/100 => R = 10%

From IIpr²/100² = diff 20000*r/10000 = 200

R =10%

QUESTION: 9

**A branch has a manager, a clerk and a sub staff. What is the salary of the sub staff?**

**I. The clerk and the sub staff together get Rs.38000 per month.**

**II. Each Clerk gets Rs.14000 per month more than the Sub Staff.**

**III. The total salary per month of the manager and the clerk is Rs.65000**

Solution:

From I,C+S = 38000 From II, C = S+14000

S+14000+S = 38000

S = 24000/2 = 12000

QUESTION: 10

**Bipul, Vijay and Rahul are three friends dividing Rs.310 among themselves. What will be the share of Bipul?**

**I. Vijay gets Rs.16 more than Rahul**

**II. Bipul gets Rs.3 more than Rahul**

**III. Bipul gets Rs.13 less than Vijay**

Solution:

B+V+R = 310

From I, V = 16+R

From II, B = 3+R

From III, B = V-13

Three equations three variables so answer can be obtained from any two alone.

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QUESTION: 11

**Q(11 – 15) 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 all the three statements and give answer: –**

**What is the speed of the train whose length is 210m?**

I. The train crosses another train of 300m length running in opposite direction in 10s

II. The train crosses another train running in the same direction at the speed of 60kmph in 30s.

Solution:

L1 = 210m(Given)

From Statement I, L2 = 300m

L1 + L2 = 210m +300m =510m

S1 + S2 = [D/T] = 510/10 = 51m/s

From Statement II,

S2 = 60kmph = 60*(5/18) = 50/3 m/s

S1 – S2 = 510/30 = 51/3 => S1-50/3 = 51/3

S1 = 101/3 m/s

Thus both the statements are required to answer the question.

QUESTION: 12

**Q(11 – 15) 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 all the three statements and give answer: –**

**What is the man’s speed in still water?**

I. The speed of the stream is one-third of the man’s speed in still water.

II. In a given time, the man can swim twice as far with the stream as he can against it.

Solution:

From Statement I, Speed of stream = 1/3 * Man’s speed = Man’s speed = 3* Speed of stream

From Statement II, Man’s speed = 2* Speed of stream

Thus both the statements are not sufficient to answer the question.

QUESTION: 13

**Q(11 – 15) 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 all the three statements and give answer: –**

**What is the Ratio of male to female officers in the police force in town T?**

I. The number of female officers is 250 less than half the number of male officers.

II. The number of female officers is 1/7 the number of male officers.

Solution:

From Statement I,

Number of male officers = x

Number of female officers = x/2 – 250

Ratio can’t be calculated from Statement I.

From Statement II,

Number of male officers = x

Number of female officers = x* 1/7

Ratio = x/(x/7) = 7:1

Thus Statement II alone is sufficient to answer the question.

QUESTION: 14

**What is the rate of the Compound Interest?**

I. A certain amount invested at the compound interest rate amounts to Rs. 1331

II. The amount was invested for a period of three years.

Solution:

Principal is not given, We can not find the rate of CI from both statements.

QUESTION: 15

**What is the difference between the two digits in a two-digit number?**

I. The sum of the two digits is 8.

II. 1/5 of that number is 15 less than 1/2 of 44

Solution:

Statement I not sufficient

From statement II,

1/5 * x = 1/2 *44 -15

x = 35, Difference between the two digits is = 2

QUESTION: 16

**A, B, and C together start a business with a total investment of 15000. At the end of the year, the total profit is Rs.3000. What is A’s share in the profit?**

I. A’s contribution is 3/2 times of B’s

II. B’s contribution is twice that of C.

III. A’s contribution is thrice that of C.

Solution:

C = x

From I and II

C = x, B = 2x, A = (3/2 * 2x) => A = 3x

From II and III

C = x, B = 2x, A = 3x

From I and III

C = x, A = 3x, B = (2/3 * 3x) => B = 2x

A:B:C = 3:2:1, A’s share = (3000 * (3/6)) = 1500

Thus any two of the three statements, are sufficient to answer the question.

QUESTION: 17

**What is the monthly income of Mr. X?**

I. Mr. X spends 85% of his income on various items and remaining amount is saved

II. Monthly savings of Mr. X are 4500

III. Out of the total money spent by Mr.X in a month, one-fifth is spent on food and remaining amount of Rs.20400 on other items.

Solution:

Let the income of Mr.X = y

From I and II

15% of y = 4500 => y = 30000

From II and III

4/5th of expenditure = 20400 => Expenditure = Rs. 25500, Savings = Rs.4500

Income = 25500 + 4500 = 30000

From I and III

4/5 of 85% of x = 20400

x = 30000

Thus any two of the three statements, are sufficient to answer the question. Ans option – None of the Above

QUESTION: 18

.**What is the present age of Rahul?**

I. The present age of Rahul is half of his father’s age

II. After 5 years, the ratio of ages of Rahul and his father is 6:11

III. Rahul is younger to his brother by five years

Solution:

From Statement I and II,

Rahul’s age = x, His father’s age = 2x

x+5/2x+5 = 6/11

x=25 year

QUESTION: 19

**What was the profit earned on the CP by Ramesh by selling an article?**

I. He got 15% concession on labelled price in buying that article

II. He sold it for Rs.3060

III. He earned a profit of 2% on he labelled price in buying that article.

Solution:

Labelled price -x

From statement I, CP = 85% of x

From statement II and III, 2 = (3060 – x/ x)*100 x=3000

CP= 85% of 3000 = 2550

Thus All I, II and III together are required.

QUESTION: 20

**What will be the share of R in the profit earned by V, R and A together?**

I. They together invested an amount of Rs.54000 for a period of 1 year

II. R’s investment was 25% less than V’s and 50% more than A’s.

III. The profit of V is 4000 more than that of A.

Solution:

Let A’s investment = x

From statement II

R’s investment = 150% of x = 1.5x

V’s investment = z = R’s investment was 25% less than V’s = 75% of z = 1.5x => 2x

A, V, R profit ratio = x : 2x :1.5x = 2:4:3

Let profit ratio of A, V, R be 2y, 4y and 3y

From statement III

4y-2y = 4000

y =2000

R’ share = Rs.6000

Statement II and III together are sufficient to answer the question.

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