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This mock test of Data Sufficiency MCQ - 1 for Quant helps you for every Quant entrance exam.
This contains 20 Multiple Choice Questions for Quant Data Sufficiency MCQ - 1 (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 two/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: –**

If a village is losing 10% of its water supply each day because of a burst water pipe, then what is the loss in rupees per day?

I. The daily water supply to the village is 600 million gallon.

II. The cost to the village for every 48000 gallons of water lost is Rs.50.

Solution:

I –> Loss of water supply = 6000000 gallon

II–> The loss in rupees

Both statements I and II required to answer the question.

QUESTION: 2

**Q(1 – 10) Each of the questions below consists of a question and two/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: –**

**Total amount of Rs. 50600 was distributed among A, B and C. How much does each get?**

I. A gets 2/9 of what the other two together get.

II. C gets 3/11 of what the other two together get.

Solution:

Amount got by A, B and C = x, y and 50600 – (x + y)

From statement I, x = 2/9(y + 50600 -x -y)

x = 2/9(50600 – x)

From statement II, y = 3/11(x + 50600 – x -y)

QUESTION: 3

**Q(1 – 10) Each of the questions below consists of a question and two/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: –**

**A and B start walking towards each other simultaneously. What is the distance between them when they start?**

I. 20 min after crossing each other they were 1600 m apart.

II. After crossing each other, A reaches the starting point of B in twice as much time as B takes to reach the starting point of A.

Solution:

Answer can not be determined by using both statements.

QUESTION: 4

**What is the ratio of male to female officers in the police force in town P?**

I. The number of female officers is 200 less than half the number of male officers.

II. The number of female officers is 1/6 the number of male officers.

Solution:

I –> x/2 – 200

Ratio can not be calculated. Statement I Insufficient.

II –> x/6 ; Required Ratio = 6 : 1

QUESTION: 5

**If A is exactly 4 year older than B, how old is A?**

I. Exactly 9 year ago A was 5 times as old as B was then

II. B is more than 9 year old

Solution:

Age of B = x year

Age of A = (x + 4) year

Statement – I => 5(x-9) = (x+4) – 9

x = 10

QUESTION: 6

**Who earns most among A, B, C, D and E?**

I. A earns less than C but not less than E

II. D earns more than A but not equal to B

III. B earns more than A and E

Solution:

Statement I – C>A>E

Statement II – D>A

D>B

Statement III – B>E, B>A

QUESTION: 7

**Is the average of the largest and the smallest of four given numbers greater than the average of four numbers**

I. The difference between the largest and the second largest number is less than the difference between the second largest and the second smallest number.

II. The difference between the largest and the second largest number is greater than the difference between the second smallest and the smallest number

III. The difference between the largest and the second smallest number is greater than the difference between the second largest and the smallest number.

Solution:

Four consecutive numbers – A, B, C and D.

From Statement I,

D – C < C – B

B + D < 2C ; From Statement II, D – C > B – A

A + D > B + C

A + D/2 > A + B + C + D / 4

From Statement III,

D – B > C – A

D + A > C + B

QUESTION: 8

**A 31m long wire is cut into three pieces. How long is the longest piece**

I. Two pieces are each 1m shorter than the longest piece

II. Two pieces of the wire are of the same length.

Solution:

I — -> x + x + x + 1 = 31 = x = 10; Longest Piece = 11m

II —> 2x + y = 31.

QUESTION: 9

**Mumbai Express leaves Chennai at 3 pm for Mumbai. At what time will it reach Mumbai?**

I. It maintains the average speed of 100 kmph.

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

III. It covers 300 km before each stoppage

Solution:

From Statement II and III => Distance = 300 * 5 = 1500 km

From Statement I -> 1500/100

QUESTION: 10

**Find the area of an isosceles triangular plot?**

I. Perimeter of the triangular plot is 100m

II. Base of the triangle is 18 cm

III. Height of the triangle is 24 cm

Solution:

From I and II –> Side of the triangle can be calculated

A = 1/2(b * h)

QUESTION: 11

**Q(11 – 20) 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: –**

**Reena and Meera bought and sold some sarees. What is the cost price of each saree?**

I. The selling price of 29 sarees is 7395.

II. They had sold N sarees, where the difference between N and the number obtained by interchanging its digits is 9.

III. Even though they spent 150 on packaging, they made a total profit of 20%.

IV. The number of sarees sold is the first two digit number which is preceded and followed by prime numbers

Solution:

I –> sp of one saree = 255

III –> sp = ((N*cp )+ 150)/N * 120%

IV –> 2,3,4,5,6,7,8,9,10,11,12,13. 12 is the first two digit number followed and preceded by prime numbers.

Therefore , CP = 200.

QUESTION: 12

**Q(11 – 20) 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 are the ages of Lia and Mia?**

I. Three years ago, Lia was 5 years younger to Mangesh and Mia was 7 years older to Mangesh.

II. Ratio of present ages of Lia and Mia is 15:19

III. Sum of the ages of Mangesh and Lia is 95

Solution:

I –> Mangesh – Lia = 5

Mia – Mangesh = 7

=> Mia –Lia = 12

II –> Lia : Mia = 15:19

4 ratio =12

1 ratio = 3

Therefore, Lia = 45 & Mia = 57

III –> Mangesh + Lia = 95

=> Lia’s age = (95-5)/2 = 45

Therefore , Mia’s age = 45=12 = 57

QUESTION: 13

**Q(11 – 20) 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: –**

**There were two traders, Matthew and Perry. They bought some chairs and tables from Stephen. Even though Stephen was getting a profit of 200 Rs/ chair and 370 Rs/ table, he charged Matthew and Perry an extra 50Rs per piece as handling charges. For what price did Matthew and Perry sell the chair, if they earned a total profit of 23.76%?**

I. Total amount spent on the chairs and tables were 1,59,000 and 3,21,500 Rs respectively.

II. There were equal number of chairs and tables and they sold only half of them.

III. The selling price of 5 tables and 2 chairs was 92,950.

Solution:

None of the given information can be connected to the SP or CP of the chairs and tables.

QUESTION: 14

**What are the marks obtained by Sreya and Kia(assuming Sreya scored less than Kia)?**

I. The sum of their marks form 70% of the total score.

II. Ratio of marks of Sreya and Kia is 29:41

III. Ratio of the sum of their marks to difference of their marks is 35:6

IV. The square of six fifth of three fifth of half of Sreya’s mark is 68121

Solution:

IV –> Sreya’s mark = sqrt(68121) * 2* 5/3 *5/6 = 725.

II –> S: K = 29:41

29 ratio = 725 => 1 ratio = 25

Therefore , Kia’s mark = 41*25 = 1025.

III —>( S+K) : (K-S) = 35:6 => S:K = 29:41

QUESTION: 15

**What will be the population of town Z in the year 2052?**

I. Present population of the town is 18,85,200

II. Population of the town 23 years back was 2,97,021

III. Rate of increase of population of town Z is 13.425%

IV. The ratio of the men to women ratio in 2052 will be 17:23

Solution:

Question asks for the population of town Z in 2052. But none of the statements say which is the current year. Therefore, the population in 2052 cannot be determined with the above details.

QUESTION: 16

**A and B together completed a work in 6 days. They got Rs. 1350 as remuneration. What would be the ratio in which the 1350 Rs would be split if C worked along with A and B?**

I. Ratio of no: of days taken by A & C is 5:9

II. Ratio of efficiency of A & B = 3:2

III. C is the least efficient of all

Solution:

Days 5x 9x

efficiency 3y 2y

Total work / (3y+2y) = 6 => 30y = TW

5 x —->3y

9x —–>?

=> Efficiency of C = 5/3 y

Therefore ratio = 3:2:5/3 = 9:6:5

QUESTION: 17

**Gina got 50 marks in English, but failed in the examination. What was the pass marks that year?**

I. Malu who got 80 passed the exam.

II. Total marks of the examination was 190

III. If Malu could give Gina the extra marks( than what she needed to pass the exam) she had, Gina would have passed with 10 extra marks.

Solution:

Pass mark = 50+ (80-10-50)/2 = 60.

QUESTION: 18

**What is the amount invested by Sanchi in the business?**

I. Ratio of amounts invested by Sachi and Ada = 9:11

II. Total profit obtained = 1418520 Rs

III. Amount invested by Ada constitutes 55% of the total investment

IV. Amount invested by Ada is double the square of triple the square root of 3025

Solution:

Answer – **E. I or III & IV**

I — -> S :A = 9:11

III —> A:S = 11:9

VI —–> Amount invested by Ada =(((sqrt(3025))*3)^2)*2 = 54,450 Rs

Amount invested by Sachi = 54450* 9/11 = 44550 Rs.

QUESTION: 19

**What are the values of x and y?**

I. 21x + 33y + 9 = 180

II. x+y+249 = 256

III. (x-y)*87 = 261

Solution:

By solving any two of the given linear equations, you’ll get x = 5 & y= 2

QUESTION: 20

**What is the area of the plot which is in the shape of a regular polygon?**

I. Perimeter of the plot is 1036m

II. Radius of the largest circle that can be inscribed in the plot is 129.5m

III. Diameter of the largest circle that can be inscribed in the plot is equal to the length one side of the plot.

Solution:

From III, it is clear that the plot is square, as the side of the regular polygon shaped plot is equal to the diameter of the biggest circle that can be inscribed in it.

From I, 4a = 1036m

=> a = 259m

=> area = 259*259 = 67081sq.m

Or,

From II, radius of circle = 129.5m

Therefore, diameter = a = 129.5*2 = 259m

=> area = 67081 sq.m

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