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SSC CGL Exam  >  SSC CGL Tests  >  Test: Data Sufficiency - 1 - SSC CGL MCQ

Test: Data Sufficiency - 1 - SSC CGL MCQ


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15 Questions MCQ Test - Test: Data Sufficiency - 1

Test: Data Sufficiency - 1 for SSC CGL 2024 is part of SSC CGL preparation. The Test: Data Sufficiency - 1 questions and answers have been prepared according to the SSC CGL exam syllabus.The Test: Data Sufficiency - 1 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Data Sufficiency - 1 below.
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Test: Data Sufficiency - 1 - Question 1
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Directions: In 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 answer:

The combined salary of Suman and Reena is Rs. 20,000. Both of them save some amount of their salary and spend the rest. If Suman saves 50% of her salary, what is the amount spent by Reena?

Statement I: The difference between the salary of Suman and Reena is Rs. 4,000.
Statement II: Reena saves an amount equal to the salary of Suman.

Detailed Solution for Test: Data Sufficiency - 1 - Question 1

Salary Suman + Reena = 20,000
Using Statement I : We do not know whose salary is more.
So, statement I alone is not sufficient.

Using Statement II:
Savings of Reena = Salary of Suman
So, salary of Reena > Salary of Suman
But we cannot find the savings of Reena
So, statement I alone is not sufficient.

Using both Statement I and II:
Salary (Suman + Reena) = 20,000
Salary (Reena – Suman) = 4,000 (Salary of Reena > Salary of Suman)
Salary of Reena = 12,000 and Salary of Suman = 8,000
Savings of Reena = 8,000
Spent by Reena = 12,000 – 8,000 = 4,000
So, both the statements are together necessary.|
Hence, option D is correct.

Test: Data Sufficiency - 1 - Question 2
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Directions: In 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 answer:

PQ is a track and R is its mid-point. Suraj is at point P and Vimal is at point Q. What is the length of the track PQ

Statement I: If Suraj and Vimal run toward each other they meet at a point which is 80m away from point R.
Statement II: The time taken by Suraj to cover PR is 7/18 times the time taken by Vimal to cover PQ.

Detailed Solution for Test: Data Sufficiency - 1 - Question 2

Using Statement I:
We do not have the speed comparison of Suraj And Vimal
So, statement I alone is not sufficient.

Using Statement II:
Ratio of the speed of Suraj : Vimal = 18 : 14
We do not have any information about the length of track.
So, statement II alone is not sufficient.

Using both Statement I and II :
Ratio of the speed of Suraj : Vimal = 18 : 14
Difference between the distance covered = 2 × 80m

So, both the statements are together necessary.
Hence, option D is correct.

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Test: Data Sufficiency - 1 - Question 3
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Directions: In 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 answer:

A, B and C are three pipes in a tank. A and B are outlet pipes and C is an inlet pipe. The ratio of the efficiency of A : B is 3 : 1 and that of B : C is 1 : 2. What is the capacity of the tank?

Statement I : If all three pipes are opened, the water in the tank will decrease at the rate of 30 litres per min.
Statement II : The time taken by C to fill the tank is 60 min less than the time taken by B to empty the tank.

Detailed Solution for Test: Data Sufficiency - 1 - Question 3

Ratio of efficiency of A : B : C = 3 : 1 : 2
Let the efficiency of A = 9x, B = 3x and C = 6x

Using Statement I :
When all three pipes are opened
Water level decrease = 6x – 3x – 9x = – 6x
6x = 30 liters per min
x = 5 liters per min
But we cannot find the capacity of the tank.
So, statement I alone is not sufficient.

Using Statement II :
Ratio of efficiency of B : C = 1 : 2
Ratio of time taken by B : C = 2 : 1

But we cannot find the capacity of the tank.
So, statement II alone is not sufficient.

Using both Statement I and II :
Efficiency of A = 9x, B = 3x and C = 6x
x = 5 litres per min
Time taken by C to fill the tank

Tank capacity = 60 × 5 × 6 = 1800 liters
So, both the statements are together necessary.
Hence, option D is correct.

Test: Data Sufficiency - 1 - Question 4
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Directions: In 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 answer:

A, B and C are three workers where B is twice as efficient as C. In how many days all three of them can complete a task?
Statement I : B and C together can complete the task in 40 days.
Statement II : B takes 30 days less than A to complete the same task.
Detailed Solution for Test: Data Sufficiency - 1 - Question 4

Let the time taken A, B and C be a, b and c and T be the task
b : c = 1 : 2
No data about A in statement I
No comparison between efficiency of A and B in statement II

Using both statement I and II:


b = 60
c = 120
a – b = 30
a = 30 + 60 = 90
So, statements I and II are together necessary
Hence, option D is correct.

Test: Data Sufficiency - 1 - Question 5
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Directions: In 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 answer:

What is the cost price of an item?

Statement I: The selling price of the item is Rs. 1500 and the difference between its marked and cost price is Rs. 1300.

Statement II: The difference between the selling price and the cost price of the item is Rs. 800.
Detailed Solution for Test: Data Sufficiency - 1 - Question 5

Statement I : No link of selling price with marked or cost price.
Statement II : We don’t know whether the selling price is more or less than the cost price.

Using both the statements:
When sold at a loss:
SP = 1500
CP = 1500 + 800 = 2300
MP = 2300 + 1300 = 3600

When sold at a profit:
SP = 1500
CP = 1500 – 800 = 700
MP = 700 + 1300 = 2000
As two conditions are possible.
Both the statements are together insufficient.
Hence, option D is correct.

Test: Data Sufficiency - 1 - Question 6
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Directions: In 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 answer:

The ratio of the cost price of three items A, B and C is in the ratio 6 : 5 : 4, respectively. The cost price and selling price of the 3 items are integers and less than Rs. 100. If the cost prices of 3 items are multiples of 5, what is the cost price of C?

Statement I  A is sold at a profit of Rs. 12.
Statement II: B and A are sold at the same price and the profit on B is Rs. 10 more than the profit on A.
Detailed Solution for Test: Data Sufficiency - 1 - Question 6

Cost prices and selling prices are less than Rs. 100
CP of A : B : C = 6 : 5 : 4
Possible combinations of CP are (30, 25, 20), (60, 50, 40), (90, 75, 60)

Using Statement I :
Profit on A is Rs. 12
So, the CP of A cannot be 90
As SP will be 102 and it cannot be more than 100
Possible combinations of CP of (A, B, C) are (30, 25, 20) and (60, 50, 40)
But, we cannot find a single value of CP
So, statement I alone is not sufficient.

Using Statement II :
B and A are sold at the same price and profit on B is Rs. 10 more than profit on A.
Only possible when cost price of A is Rs. 10 more than that of B
Possible combination of CP of (A, B, C) is (60, 50, 40)
So, cost price of C is Rs. 40
So, statement II is alone sufficient.
Hence, option B is correct.

Test: Data Sufficiency - 1 - Question 7
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Directions: In 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 answer:

A, B and C invested in a business for one year. What is the profit share of B out of a total profit of Rs. 7200?

Statement I : A invested half the total amount invested by B and C together.

Statement II : If A and C double their investment and the total profit amount remains the same, B would receive Rs. 700 less profit and A would receive Rs. 300 more profit.
Detailed Solution for Test: Data Sufficiency - 1 - Question 7

Using Statement I :
Ratio of profit share of A : (B + C) = 1 : 2

But we cannot find the amount of profit of B.
So, statement I alone is not sufficient.

Using Statement II :
Let the initial profit be a, b and c
As the total profit remains the same
(a + 300), (b – 700) and (c + 400)
As both A and C double their investment, the ratio of their profit remains the same.

a/c = 3/4
But we cannot find the profit share of B.
So, statement II alone is not sufficient.

Using both Statement I and II:
Ratio of profit share of A : (B + C) = 1 : 2
A : C = 3 : 4
A : B : C = 3 : 2 : 4
So, both the statements are together necessary.
Hence, option D is correct.

Test: Data Sufficiency - 1 - Question 8
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Directions: In 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 answer:

The length of the diagonals of two adjacent walls of a room are √170 m and √193 m. What is the volume of the room?

Statement I: The floor area of the room is 132 m2.
Statement II: The perimeter of the floor of the room is 46 m.
Detailed Solution for Test: Data Sufficiency - 1 - Question 8

 

l2 + h2 = 193 and b2 + h2 = 170
l2 – b2 = 23 --------------- (1)

Using Statement I:
l × b = 132 --------------- (2)
Using equations 1 and 2 we can find the value of l and b, and therefore h
Volume = l × b × h
So, statement I is alone sufficient.

Using Statement II:
2(l + b) = 46
l + b = 23 --------------- (3)
Using equations 1 and 3 we can find the value of l and b, and therefore h
Volume = l × b × h
So, statement II is alone sufficient.
Hence, option C is correct.

Test: Data Sufficiency - 1 - Question 9
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Directions: In 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 answer:

A, B and C invested in a business for 6, 12 and 6 months, respectively. The investment of B was Rs. 5,000 more than the investment of A. What was the profit share of A from a total profit of Rs. 4500?

Statement I: The combined profit share of B and C was 5 times the profit share of A.
Statement II: The investment of C was Rs. 10,000 less than thrice the investment of A.
Detailed Solution for Test: Data Sufficiency - 1 - Question 9

Let the investment of A = a, B = a + 5,000 and C = c
Ratio of time investment = a × 6 : (a + 5000) × 12 : c × 6
A : B : C = a : (2a + 10,000) : c
Statement I: The profit share of B and C was 5 times the profit share of A.
(2a + 10,000) + c = 5a
c = 3a – 10,000
A : B : C = a : (2a + 10,000) : 3a – 10,000
Total = a + 2a + 10,000 + 3a – 10,000 = 6a

So, statement I is alone sufficient

Statement II: The investment of C was Rs. 10,000 less than thrice the investment of A.
c = 3a – 10,000
A : B : C = a : (2a + 10,000) : 3a – 10,000
Total = a + 2a + 10,000 + 3a – 10,000 = 6a

So, statement II is alone sufficient
So, data in statement I or Statement II is sufficient
Hence, option C is correct.

Test: Data Sufficiency - 1 - Question 10
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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 answer:

What is the ratio of the speed of Aman to that of Gaurav?

Statement I: Aman can beat Raman by 20 m in a 100 m race.
Statement II: If Gaurav gives a head start of 100 m to Raman in a 450 m race, he will still beat him by 110 m.
Detailed Solution for Test: Data Sufficiency - 1 - Question 10

We cannot find any relation between the speed of Aman and Gaurav using either of the statements.
Using both the statements:

Ratio of the speed:
Aman : Raman = 10 : 8
Raman : Gaurav = (450 – 110 – 100) : 450 = 8 : 15
Aman : Raman : Gaurav = 10 : 8 : 15
So, both the statements are together necessary.
Hence, option D is correct.

Test: Data Sufficiency - 1 - Question 11
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Directions: In 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 answer:

A boat is 1.25 times as fast along a stream as it is in still water. What will be the time taken by the boat to cover a distance of 80 km upstream and return to the starting point?

Statement I: The time taken by the boat to cover 80 km along the stream is 1/5th of the time taken to cover 240 km against the stream.

Statement II: The boat covers a certain distance in still water in 9 hours and takes 12 hours to cover the same distance in upstream.
Detailed Solution for Test: Data Sufficiency - 1 - Question 11

Let still water speed be b and stream speed be c
b + c = 1.25b
b : c = 4 : 1

Statement I:

b : c = 4/1

Statement II:
b : (b – c) = 12 : 9
b : c = 4 : 1
Using both the statements also, we will get only b : c = 4 : 1
So, both the statements together are insufficient
Hence, option D is correct.

Test: Data Sufficiency - 1 - Question 12
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Directions: In 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 answer:

If the ratio of the length and breadth of a rectangle is 9 : 4, what is its area?

Statement I : The perimeter of the rectangle is 104 cm.
Statement II : One of the sides of the rectangle is equal to the side of a square with an area of 324 cm2.
Detailed Solution for Test: Data Sufficiency - 1 - Question 12

Statement I :
2(L + B) = 104
L : B = 9 : 4
L = 36 and B = 16

Statement II: We do not know which side of the rectangle is equal to the side of the square.
So, statement I is alone sufficient but Statement II alone is not sufficient
Hence, option A is correct.

Test: Data Sufficiency - 1 - Question 13
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Directions: In 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 answer:

The average weight of P, Q, R and S is 48.25 kg. What is the average weight of S and R?

Statement I: The average weight of P, R and S is 51 kg.
Statement II: The average weight of Q, R and S is 47 kg.
Detailed Solution for Test: Data Sufficiency - 1 - Question 13

P + Q + R + S = 4 × 48.25 ------------- (1)
Statement I or II alone is not sufficient
Using both the statements:
P + R + S = 3 × 51 ------------- (2)
Q + R + S = 3 × 47 ------------- (3)
Using (2) + (3) – (1) we get the value of R + S
So, both the statements are together necessary.
Hence, option D is correct.

Test: Data Sufficiency - 1 - Question 14
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Directions: In 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 answer:

The speed of train A and B is 24 m/s and 32 m/s, respectively. In how many seconds will they cross each other in opposite directions?

Statement I : Train A can cross a pole in 15 seconds.
Statement II : The length of train B is 568 m more than that of train A.
Detailed Solution for Test: Data Sufficiency - 1 - Question 14

We need the length of both trains A and B
For that, we need both the statements
Length of A = 24 × 15 = 360 m
Length of B = 360 + 568 = 928 m
Time to cross in opposite directions

So, both the statements are together necessary.
Hence, option D is correct.

Test: Data Sufficiency - 1 - Question 15
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Directions: In 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 answer:

A book is marked 60% above its cost price and sold after two successive discounts. What is the percentage profit on the book?

Statement I: The ratio of the amount of the first discount to the amount of the second discount is 4 : 9.
Statement II: If the second discount was not given, the amount of profit would have been 450% more.
Detailed Solution for Test: Data Sufficiency - 1 - Question 15

CP : MP = 100 : 160
CP = 100a and MP = 160a
Statement I or II alone is not sufficient

Using both statements I and II:
Let D1 = 4x and D2 = 9x
SP = 160a – 13x
Profit = 60a –13x
Profit without the second discount = 60a – 4x
60a – 4x : 60a – 13x = 550 : 100
x = 4a
Profit = 60a – 13 × 4a = 8a
CP = 100a and Profit = 8a
We can calculate the percentage profit
So, both the statements are together necessary.
Hence, option D is correct.

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