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Data Sufficiency MCQ - 3


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20 Questions MCQ Test | Data Sufficiency MCQ - 3

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Data Sufficiency MCQ - 3 - 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.

Detailed Solution for Data Sufficiency MCQ - 3 - Question 1

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

Data Sufficiency MCQ - 3 - 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

Detailed Solution for Data Sufficiency MCQ - 3 - Question 2

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

Data Sufficiency MCQ - 3 - 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.

Detailed Solution for Data Sufficiency MCQ - 3 - Question 3

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.

Data Sufficiency MCQ - 3 - 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.

Detailed Solution for Data Sufficiency MCQ - 3 - Question 4

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

Data Sufficiency MCQ - 3 - Question 5

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: –

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.

Detailed Solution for Data Sufficiency MCQ - 3 - Question 5

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.

Data Sufficiency MCQ - 3 - 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.

Detailed Solution for Data Sufficiency MCQ - 3 - Question 6

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

Data Sufficiency MCQ - 3 - 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

Detailed Solution for Data Sufficiency MCQ - 3 - Question 7

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

Data Sufficiency MCQ - 3 - 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

Detailed Solution for Data Sufficiency MCQ - 3 - Question 8

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%

Data Sufficiency MCQ - 3 - 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

Detailed Solution for Data Sufficiency MCQ - 3 - Question 9

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.

Data Sufficiency MCQ - 3 - 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

Detailed Solution for Data Sufficiency MCQ - 3 - Question 10

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.

Data Sufficiency MCQ - 3 - 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.

Detailed Solution for Data Sufficiency MCQ - 3 - Question 11

From 1st statement, 4*cp = 3*sp
4*cp = 3*50000, cp = 37500
From second statement, 50000 = [(100 + 100/3)/100]*c
We get cp = 37500

Data Sufficiency MCQ - 3 - 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.

Detailed Solution for Data Sufficiency MCQ - 3 - Question 12

From first statement, 2p = p*(r/100)*12
From second statement, 2000 = p*(r/100)*4

Data Sufficiency MCQ - 3 - 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.

Detailed Solution for Data Sufficiency MCQ - 3 - Question 13

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

Data Sufficiency MCQ - 3 - 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.

Detailed Solution for Data Sufficiency MCQ - 3 - Question 14

Answer – e) If the data in both the statements I and II together are necessary to answer the question
Explanation :
From both equations, we get l = 12 and  b= 6 so perimeter = 36

Data Sufficiency MCQ - 3 - Question 15

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: –

Detailed Solution for Data Sufficiency MCQ - 3 - Question 15

Cp = (70/100)*Mp
Sp = (110/100)*mp
We can find the profit/loss percent but we cannot the amount of profit.

Data Sufficiency MCQ - 3 - Question 16

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: –

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

Detailed Solution for Data Sufficiency MCQ - 3 - Question 16

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

Data Sufficiency MCQ - 3 - 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.

Detailed Solution for Data Sufficiency MCQ - 3 - Question 17

From second statement, we get
L = 20*54*5/18 = 300 meter

Data Sufficiency MCQ - 3 - Question 18

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 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.

Detailed Solution for Data Sufficiency MCQ - 3 - Question 18

D = 4*(b+s) and D = 6*(b-s)
So we can’t find the value of b

Data Sufficiency MCQ - 3 - Question 19

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 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

Detailed Solution for Data Sufficiency MCQ - 3 - Question 19

From second statement, we get
2400 = p*10/100*2
P = 12000
So CI = 12000*(1 + 10/100)^2 – 12000 = 2520

Data Sufficiency MCQ - 3 - Question 20

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: –

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

Detailed Solution for Data Sufficiency MCQ - 3 - Question 20

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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