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This mock test of Data Sufficiency MCQ - 3 for Banking Exams helps you for every Banking Exams entrance exam.
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QUESTION: 1

**Q(1 – 5) 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: –**

**A car dealer sold 80% of the cars in its inventory during September. What was the total revenue from the sales of cars?**

I. All but 60 cars in the showroom inventory were sold during September.

II. Cars were sold for an average price of Rs.4.5 lakh during September.

Solution:

Total no of cars in September = x

From Statement I – 20% of x = 60 (Cars that are not sold)

x = 300

80% 0f 300 =240

From Statement II – Price of a car = Rs.4.5 lakh

From Statement I & II – The total revenue from the sales of cars = 240 * 4.5 lakh = 1080 lakh

QUESTION: 2

**Q(1 – 5) 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: –Did Incumbent P get over 60% of the vote?**

I. Challenger M got 39% of the vote

II. Incumbent P got 40000 of the total votes cast

Solution:

From Statement I, P got 61% of the vote which is over 60%.

QUESTION: 3

**Q(1 – 5) 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: –**

**How much money did X invest?**

I. An increase in the Simple Interest from 39/8 % to 41/8 % per annum increases his yearly income by 25%.

II. The sum invested gets doubled, when invested at 8% per annum for 25/2 year.

Solution:

Invested amount – x

From Statement I, Increased Rate of interest = (41/8) – (39/8) = 2/8 =1/4

x*(1/4)*(1/100) = 25 => x=10000

From Statement II, we can’t find x.

QUESTION: 4

**Q(1 – 5) 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: –**

**For a certain bottle and cork, what is the price of the cork?**

I. The combined price of the bottle and the cork is Rs.95

II. The price of the bottle is Rs.75 more than the price of the cork.

Solution:

From Statement II, Let the price of cork be x, then the price of the bottle = (x+75)

From Statement I, combined price bottle and cork = Rs.95

x+(x+75) = 95 => 2x + 75 = 95 => x = 10

QUESTION: 5

I. Maths, Science and English have weights 5, 4 and 3 respectively.

II. Simple Arithmetic mean of Maths and science is 140, which is twice the average of Science and English.

Solution:

In Statement I, Only weights of subjects are given

(M+S)/2 =140 => M + S = 280

(S+E)/2 = 2(140) => S + E = 560 We can’t find the marks in Maths, Science and English.

QUESTION: 6

**In how many days 10 women can finish the work?**

I. 10 men finish the work in 6 days.

II. 10 women and 10 men finish the work in 24/7 days.

III. If 10 men work 3 days and after that 10 women are deployed to work for men, the rest work is finished in 4 days.

Solution:

From I and II, 10 women’s work in 1 day = (7/24 – 1/6) = 1/8

10 women can finish the work in 8 days.

From II and III

(1/x + 1/y) = 7/24

(3/x + 4/y) = 1

=> y = 8 days

From I and III – (3/6 + 4/y) = 1 => y= 8 days

QUESTION: 7

**What is the cost of flooring the rectangular hall?**

I. Length and Breadth of the hall are in the ratio of 3:2

II. Length of the hall is 48m and cost of flooring is Rs.850 per sq m.

III. Perimeter of the hall is 160m and cost of flooring is Rs.850 per sq.m

Solution:

From Statements I and II length 3x = 48 => x = 16m

length = 48m, Bredth = 32m, Area = 48*32

Cost of flooring = 48*32*850 = Rs. 1305600

From Statements II and III, l= 48m, b=32m

Cost of flooring = 48*32*850 = Rs. 1305600

From Statements I and III,

2(l+b) = 160

2(3x + 2x) = 160 x=16

length = 48m, Bredth = 32m, Area = 48*32

Cost of flooring = 48*32*850 = Rs. 1305600

QUESTION: 8

**What is the rate of interest per cent per annum?**

I. An amount doubles itself in 5 year on SI

II. Difference between the CI and SI earned on a certain amount in two years is Rs.400

III. SI earned per annum is Rs.2000

Solution:

From Statement I, If P = 100, A = 200 and SI = 200-100=100

R= SI*100/P*T = 100*100/100*5 = 20%

From Statements II & III

R = 400*100/2000*1 = 20%

QUESTION: 9

**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 6s

II. Ratio of the speed of trains A and B is 3:2

III. Length of two trains together is 500m

Solution:

From Statement I, Time taken by Train A crosses a signal pole = 6s

From Statement II, Speed of Train A and Train B = 3x and 2x, Relative speed = 5x

From Statement I and Statement II. A Train’s length = 18x

B Train’s length = 500 – 18x

Time taken by A to cross B = [500-8x]+18x/5x

All the given statements are Insufficient to answer the question.

QUESTION: 10

**An Express Train leaves Delhi at 4pm for Mumbai, At what time will it reach Mumbai?**

I. It maintains the average speed of 110 kmph

II. It has four stoppages of 10 min each between Delhi and Mumbai

III. It covers 250km before each stoppage

Solution:

From statement I and II, Distance covered from Delhi to Mumbai Stoppage = 250*5 = 1250km

From Statement I, Time = Distance/speed = 1250/110

So all the three statements required to answer this question.

QUESTION: 11

**Q(11 – 20) 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 profit earned by selling a bike for rupees 50000?**

1) The cost price of 4 such bikes is equal to selling price of 3 bikes

2) 33.33% profit is earned by selling the bike.

Solution:

From 1^{st} statement, 4*cp = 3*sp

4*cp = 3*50000, cp = 37500

From second statement, 50000 = [(100 + 100/3)/100]*c

We get cp = 37500

QUESTION: 12

**Q(11 – 20) 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 rate of interest p.c.p.a?**

1) The amount triples itself in 12 years

2) The simple interest accrued in 4 years is Rs. 2000.

Solution:

From first statement, 2p = p*(r/100)*12

From second statement, 2000 = p*(r/100)*4

QUESTION: 13

**Q(11 – 20) 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: –**

**The average salary of 10 teachers of a school is Rs.4500. A group of teachers whose average salary is Rs.3000 leave the school and 3 new teacher joins. What is the average salary of new group of teachers in the school?**

1) There are 2 teachers that leave the school.

2) The salary of new teacher is 2500.

Solution:

New average salary = (4500*10 – 2*3000 + 3*2500)/11

QUESTION: 14

**Q(11 – 20) 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 perimeter of the rectangular field?**

1) Area of the field is 72m^2.

2) Length and breadth are in the ratio of 2:1.

Solution:

Answer – **e ) If the data in both the statements I and II together are necessary to answer the question**

From both equations, we get l = 12 and b= 6 so perimeter = 36

QUESTION: 15

Solution:

Cp = (70/100)*Mp

Sp = (110/100)*mp

We can find the profit/loss percent but we cannot the amount of profit.

QUESTION: 16

**How long will machine B, working alone take to produce ‘y’ candles?**

1) Machine A produces ‘y’ candles in 10 minutes

2) Machine A and Machine B working together produces ‘y’ candles in 4 minutes

Solution:

**From both statements,
1/A + 1/B = 1/4
So, 1/B = 1/4 – 1/10 = 6/40
B = 20/3 minutes**

QUESTION: 17

**A train crosses a pole in 20 seconds. What is the length of the train?**

1) The train crosses another train running in same direction with the speed of 80km/hr in 11 seconds.

2) Speed of the train is 54 km/hr.

Solution:

From second statement, we get

L = 20*54*5/18 = 300 meter

QUESTION: 18

**What is the speed of boat in still water?**

1) It takes 4 hours to cover the distance between P and Q downstream

2) It takes 6 hours to cover the distance between P and Q upstream.

Solution:

D = 4*(b+s) and D = 6*(b-s)

So we can’t find the value of b

QUESTION: 19

**What is the compound interest earned by Rahul at the end of 2 years?**

1) The amount invested is rupees 17000

2) Simple interest at the same rate for 2 year is rupees 2400 and the rate of interest is 10 p.c.p.a

Solution:

From second statement, we get

2400 = p*10/100*2

P = 12000

So CI = 12000*(1 + 10/100)^2 – 12000 = 2520

QUESTION: 20

**How much time did P take to reach the destination?**

1) Q takes 24 minutes to reach the same destination

2) Ratio of the speed of P and Q is 3:4

Solution:

**If the data in both the statements I and II together are necessary to answer the question**

**Explanation :**

3x/4x = 24/t

We get t = 32 minutes

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