Data Sufficiency Questions for SSC CPO PDF
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Question 1: These statements provide data that may help answer the respective questions. Read the questions and the statements and determine if the data provided by the statements is sufficient or insufficient, on their own or together, to answer the questions. Accordingly, choose the appropriate option given below the questions.
Harry and Sunny have randomly picked 5 cards each from a pack of 10 cards, numbered from 1 to 10. Who has randomly picked the card with number 2 written on it?
Statement I: Sum of the numbers on the cards picked by Harry is 5 more than that of Sunny.
Statement II: One has exactly four even numbered cards while the other has exactly four odd numbered cards.
a) Statement I alone is sufficient to answer.
b) Statement II alone is sufficient to answer.
c) Either of the statement is sufficient to answer.
d) Both statements are required to answer.
e) Additional information is required.
Question 2: These statements provide data that may help answer the respective questions. Read the questions and the statements and determine if the data provided by the statements is sufficient or insufficient, on their own or together, to answer the questions. Accordingly, choose the appropriate option given below the questions.
A group of six friends noticed that the sum of their ages is the square of a prime number. What is the average age of the group?
Statement I: All members are between 50 and 85 years of age.
Statement II: The standard deviation of their ages is 4.6.
a) Statement I alone is sufficient to answer.
b) Statement II alone is sufficient to answer.
c) Either of the statement is sufficient to answer.
d) Both statements are required to answer.
e) Additional information is required.
Question 3: Read the following question and decide which of the given statements is/are sufficient.
If X is a natural number, is X+6 odd ?
Statements:
1. X-15 is a whole number.
2. X-6 is an odd number.
a) 2 alone is sufficient while 1 alone is not sufficient to answer the question.
b) Both 1 and 2 together are sufficient to answer the question.
c) Either 1 or 2 is sufficient to answer the question.
d) 1 alone is sufficient while 2 alone is not sufficient to answer the question.
Question 4: Read the following question and decide which of the given statements is/are sufficient.
Are women emotionally stronger than men?
Statements:
1. Women think men’s thinking cannot change any problem.
2. Women are equal to men in all issues.
a) Both 1 and 2 together are sufficient to answer the question.
b) Neither 1 nor 2 is sufficient to answer the question.
c) 2 alone is sufficient while 1 alone is not sufficient to answer the question.
d) 1 alone is sufficient while 2 alone is not sufficient to answer the question.
Question 5: Consider the given question and decide which of the following statements is sufficient to answer the question.
X took a loan from Y on compound interest. Find the rate per annum?Statements:1. After 3 years, X paid ₹ 500 as interest.
2. After 3 years, X paid ₹ 1,500 to clear his loan with Y.
a) 2 alone is sufficient while 1 alone is not sufficient to answer the question.
b) 1 alone is sufficient while 2 alone is not sufficient to answer the question.
c) Both 1 and 2 are sufficient to answer the question.
d) Either 1 or 2 is sufficient to answer the question.
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Question 6: Read the following question and decide which of the given statements is/are sufficient. How is CHINA coded?Statements:1. CHILE is coded as ECIHL.
2. EGYPT is coded as TEYGP.
a) Either 1 or 2 is sufficient to answer the question.
b) 1 alone is sufficient while 2 alone is not sufficient to answer the question.
c) 2 alone is sufficient while 1 alone is not sufficient to answer the question.
d) Both 1 and 2 together are sufficient to answer the question.
Question 7: Read the following question and decide which of the given statements is/are sufficient.
Question:
Is Y > 0 ?
Statements:
1. X + Y > 0
2. X – Y > 0
a) 1 alone is sufficient while 2 alone is not sufficient to answer the question.
b) Both 1 and 2 together are sufficient to answer the question.
c) 2 alone is sufficient while 1 alone is not sufficient to answer the question.
d) Neither 1 nor 2 is sufficient to answer the question.
Question 8: You are given a question and three statements. Identify which of the statements is/are necessary/sufficient to answer the question.
L, M, N, O and P are standing in a circle facing the centre. Who is standing to the right of L?
Statements:
1. Next to L are P and M
2. O is standing to the right of P
3. O is standing to the left of N
a) Statement 1 and 2 are not sufficient
b) Statements 1 and 2 together are sufficient
c) The statements are insufficient
d) Statement 1 alone is sufficient
Question 9: You are given a question and two statements. Identify which of the statements is/are necessary/sufficient to answer the question.
Question:
Among the bags A, B, C and D which one is the lightest bag?
Statements:
1. B is heavier than A
2. A is lighter than C and D
a) Statement 2 alone is sufficient
b) Statement 1 and 2 together are necessary
c) Statement 1 alone is sufficient
d) Statement 1 and 2 are not sufficient to solve
Question 10: A bag contains marbles of three colours-red, blue and green. There are 8 blue marbles in the bag.
There are two additional statement of facts available:
If we pull out marbles from the bag at random, to guarantee that we have at least 3 green marbles, we need to extract 17 marbles.
If we pull out marbles from the bag at random, to guarantee that we have at least 2 red marbles, we need to extract 19 marbles.
Which of the two statements above, alone or in combination shall be sufficient to answer the question “how many green marbles are there in the bag”?
a) Statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question.
b) Statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question.
c) Statements 1 and 2 together are not sufficient, and additional data is needed to answer the question.
d) Each statement alone is sufficient to answer the question.
e) Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient.
Question 11: We have two unknown positive integers m and n, whose product is less than 100.
There are two additional statement of facts available:
mn is divisible by six consecutive integers { j, j + 1,…,j + 5 }
m + n is a perfect square.
Which of the two statements above, alone or in combination shall be sufficient to determine the numbers m and n?
a) Each statement alone is sufficient to answer the question.
b) Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient.
c) Statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question.
d) Statements 1 and 2 together are not sufficient, and additional data is needed to answer the question.
e) Statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question.
Question 12: Five sentences related to a topic are given below. Four of them can be put together to form a meaningful and coherent short paragraph. Identify the odd one out. Choose its number as your answer and key the number in:
1. Our smartphones can now track our diets, our biological cycles, even our digestive systems and sleep-patterns.
2. Researchers have even coined a new term, “orthosomnia”, to describe
the insomnia brought on by paying too much attention to smartphones and
sleep-tracking apps.
3. Sleep, nature’s soft nurse, is a blissful, untroubled state all too easily disturbed by earthly worries or a guilty conscience.
4. The existence of a market for such apps is unsurprising: shift work, a
long-hours culture and blue light from screens have conspired to rob
many of us of sufficient rest.
5. A new threat to a good night’s rest has emerged – smart-phones, with sleep-tracking apps.
Answers & Solutions:
1) Answer (D)
Harry and Sunny have cards numbered from 1 to 10.
Sum of the number of cards picked by them = 1+2+3+…+10 = 55.
Sum of the numbers on the cards picked by Harry is 5 more than that of Sunny.
Let x be the sum of the numbers picked by Sunny.
x+x+5 = 55
x = 25
25 can be written as 10+9+1+2+3 or 9+7+5+1+3 etc. (There are many such combinations). We cannot determine the person who has card number 2.
Statement I alone is insufficient.
Statement II states that one of the 2 persons has exactly 4 even-numbered cards.
The person with 4 even-numbered cards might or might not contain card number 2. Therefore, statement II alone is insufficient.
Combining both the statements, we know that the sum of the numbers on the cards with Harry is 5 more than the sum of the number on the cards with Sunny. Therefore, the sum of the number of cards with Sunny should be 25 and Harry should be 30.
Sum of the 5 even numbers = 2+4+6+8+10 = 30.
Sum of the 5 odd numbers = 1+3+5+7+9 = 25.
By replacing one of the odd numbers with even numbers, we have to make the sums 30 and 25. We cannot replace an odd number with an even number and still get the sum as 25. Therefore, the set with 4 odd numbers must add up to 30 and the set with 4 even numbers must add up to 25. We can interchange 1 with 6 or 3 with 8 or 5 with 10. The card with number 2 will always remain with the person with 4 even cards. The card with number 25 will always remain with Sunny. Therefore, we can determine the answer using both the statements together and hence, option D is the right answer.
2) Answer (A)
Sum of the ages of the 6 friends is the square of a prime number.
Statement I states that all the members were aged between 50 and 85 years. There are 6 friends in total. Therefore, the sum of the ages can vary from 6*50 to 6*85.
Sum of the ages of the 6 persons should lie between 300 and 510.
361 is the only square of a prime number (19) in the given range. Therefore, statement I alone is sufficient to answer the question.
Statement II states that the standard deviation of their ages is 4.6. SD gives us how much the values deviate from the mean. We cannot obtain the mean using the SD. Therefore, statement II alone is insufficient to answer the question without knowing the values in the data set.
Therefore, option A is the right answer.
3) Answer (A)
1 alone is not sufficient as X can be any value and X – 15 can be either even or odd.
If X-a is an odd number, then X+a is also an odd number and the same rule applies for even numbers.
Hence, If X-6 is an odd number then X+6 is also an odd number.
Hence, Only Statement 2 is sufficient to answer.
4) Answer (B)
In first statement nothing is said about emotions of women and men. So, it alone can’t be sufficient.
In second statement, it is said that women are equal to men in all issues but it didn’t specify anything about emotions. S, Statement 2 alone is not sufficient.
5) Answer (C)
From statement 1 we have 2 variables P and R and only 1 equation to get the value of R.
From statement 2 we have 2 variables P and R and only 1 equation to get the value of R.
By combining both we get value of P=Rs 1000 and the value of R can be calculated.
6) Answer (A)
In CHILE it is coded as ECIHL shuffling E into 1st position and H and I were swapped
In EGYPT it is coded as TEYGP shuffling T into 1st position and G and Y were swapped
Similar to the above CHINA can be coded as ACIHA so any of the above statement can be used to answer the following
7) Answer (D)
From statement 1 Y can be positive or negative as when Y is negative X can be positive
From statement 2 Y can be positive or negative as when X is positive Y can be negative
So by using the both statements we cannot say that Y>0
8) Answer (C)
All the statements are insufficient to answer the question. Because there is not any word like immediate mentioned in statement which creates multiple possibilities from that conditions.
9) Answer (B)
Statement 1: B>A
Statement 2: CD>A
If we merge both the statements, we can get the lightest person which is A. So both Statement 1 and 2 together are necessary to answer it.
10) Answer (B)
From statement 1:
Red + Blue + Green = 17
Since, this ensures that there are at least 3 green marbles, so, remaining marbles must be red and blue.
$\therefore $ Red + Blue = 17 – 3 = 14
Blue = 14 – Red = 14 – 8 = 6
But, this doesn’t give us the total number of green marbles. So, statement 1 alone is not sufficient.
From statement 2:
Red + Blue + Green = 19
Since, this ensures that there are at least 2 red marbles, so, remaining marbles must be blue and green
$\therefore $ Blue + Green = 19 – 2 = 17
Again, Green = 17 – Blue = 17 – 8 = 9.
Hence, statement 2 alone is sufficient to answer the question.
11) Answer (B)
Given, m and n are two positive integers having product less than 100
Statement 1:
mn is divisible by 6 consecutive integers. This means mn must be divisible by the LCM of these 6 integers its multiples.
Only numbers from 1 to 6 satisfy this with LCM 60. Any other set of 6 consecutive integers clearly exceeds 100 as its LCM.
Only such number satisfying the condition is 60.
60 can further be expressed as the product of two positive integers in the following ways:
1 x 60, 2 x 30, 3 x 20, 4 x 15, 5 x 12 and 6 x 10.
So, no unique values of m and n can be determined from the above.
Statement 2:
m + n is a perfect square.
From this statement alone too no unique set of solutions can be determined.
From Statements 1 and 2:
Only the pair 6 x 10 satisfies the condition.
Hence, both statements taken together are sufficient to answer the question, but neither statement alone is sufficient.
12) Answer: 3
The use of the word “such apps” in 4 indicates that 4 must be preceded by a line that mentions a type of app. We find this in 5 and 2. So the pairs could be 5-4 or 2-4. If we see the sentences 5 and 1 they introduce the topic under discussion and provide context for the details provided in 2 and 4. Hence, 1 and 5 should come at the start of the paragraph and 2-4 should be the end of the paragraph. Between 5 and 1, 5 provides a better opening line as it introduces the main topic of discussion. Hence, the order of the paragraph should be 5-1-2-4.
Sentence 3 which talks of “guilty conscience” is out of context with the rest of the paragraph.
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