Data Sufficiency section 2 MCQ Detailed Explanation And More Example
MOST IMPORTANT verbal reasoning - 5 EXERCISES
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) 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 following question based on Data Sufficiency topic of verbal reasoning
(1) The sum of the two digits is 4.
(2) The difference between the two digits is 2.
(a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
(b) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
(c) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
(d) Statements (1) and (2) TOGETHER are NOT sufficient.
The correct answers to the above question in:
Answer: (d)
(1) ⇒ x + y = 4
(2) ⇒ x – y = 2
Solving above equations, we get x and y. But the numbers may be either 10x + y or 10 y + x. Hence, we can't get the solution.
∴ Both statements together are not sufficient to answer the question.
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Read more question and answers set 2 Based Verbal Reasoning Questions and Answers
Question : 1
A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numberd from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, 'N' can be represented by 21, 43 etc. and 'R' can be represented by 66, 57 etc., Similarly, you have to identify the set for the word 'JOIN'. Matrix-I
| 0 | 1 | 2 | 3 | 4 | |
| 0 | J | H | J | K | A |
| 1 | E | J | O | J | O |
| 2 | J | N | P | O | S |
| 3 | T | F | O | H | D |
| 4 | Q | O | W | N | F |
| 5 | 6 | 7 | 8 | 9 | |
| 5 | X | Z | R | P | A |
| 6 | Z | R | I | I | S |
| 7 | I | C | F | K | N |
| 8 | N | I | G | N | M |
| 9 | M | V | N | P | N |
a) 11, 32, 66, 79
b) 00, 43, 32, 79
c) 02, 67, 14, 57
d) 20, 23, 86, 97
Answer »Answer: (d)
J = 00, 02, 11, 13, 20
O = 12, 14, 23 , 32, 41
I = 67, 68, 75, 86
N = 21, 43, 79, 85, 88, 97 99
For JOIN, the set of numbers is, 20, 23, 86, 97
Question : 2
A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, 'N' can be represented by 21, 67 etc. and 'R' can be represented by 66, 57 etc. Similarly, you have to identify the set for the word 'PUMP'. Matrix-I
| 0 | 1 | 2 | 3 | 4 | |
| 0 | P | R | A | N | B |
| 1 | W | U | N | H | L |
| 2 | E | N | S | G | O |
| 3 | N | Y | P | O | M |
| 4 | M | T | O | F | A |
| 5 | 6 | 7 | 8 | 9 | |
| 5 | Z | M | R | I | Q |
| 6 | X | R | N | W | P |
| 7 | C | S | Y | E | U |
| 8 | S | N | P | M | S |
| 9 | P | B | E | R | P |
a) 32, 02, 11, 87
b) 23, 57, 11, 88
c) 69, 11, 40, 99
d) 00, 99, 87, 32
Answer »Answer: (c)
P = 00, 32, 69 , 87, 95, 99
U = 11 , 79
M = 34, 40 , 56, 88
P = 00, 32, 69, 87, 95, 99
For 'PUMP' the set of numbers is 69, 11, 40, 99.
Question : 3
A word is represented by only one set of numbers as given in any one of the alterntives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example 'H' can be represented by 13, 21 etc. and 'T' can be represented by 57, 79 etc. Similarly, you have to identify the set for the word 'GLOW'. Matrix-I
| 0 | 1 | 2 | 3 | 4 | |
| 0 | E | F | E | D | G |
| 1 | L | I | F | H | L |
| 2 | F | H | B | F | F |
| 3 | G | H | I | M | C |
| 4 | I | A | I | D | I |
| 5 | 6 | 7 | 8 | 9 | |
| 5 | U | Y | T | Q | P |
| 6 | Y | R | U | R | Y |
| 7 | O | W | Z | Y | T |
| 8 | Q | U | S | N | P |
| 9 | Z | P | P | O | I |
a) 30,14,75,76
b) 12,88,41,85
c) 41,76,31,79
d) 32,85,33,57
Answer »Answer: (a)
For 'FLOW' the set of letters are:
G = 04, 30
L = 10, 14
O = 75 , 98
W = 76
Hence the set of letters for 'GLOW' will be 30, 14, 75, 76.
Question : 4
Is y larger than 1 ?
(1) y is larger than 0
(2) $y^2$ - 4 > 0
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
c) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
d) Statements (1) and (2) TOGETHER are NOT sufficient.
Answer »Answer: (d)
(2) ⇒ $y^2$ > 4 ⇒ -2 < y < 2
(1) ⇒ y > 0 ⇒ 0 < y < 2
Hence, using both the statements we cannot be determined whether y is larger than 1 or smaller than 1.
Question : 5
Is the integer divisible by 3?
(1) the last digit in n is 3.
(2) n + 5 is divisible by 6.
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
c) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
d) Statements (1) and (2) TOGETHER are NOT sufficient.
Answer »Answer: (d)
(1) ⇒ Last digit of n is 3
⇒ n may be 3, 13, 23, 33, 43, 53, 63, .........
(2) ⇒ n + 5 is divisible by 6
⇒ n may be 1, 7, 13, 19, 25, 31, 37, 43, .........
Hence, we cannot be determined that integer is divisible by 3 even using both the statements.
Question : 6
Who among the three friends A, B and C reached the school first?
(1) A reached the school at 7.15 am five minutes before the bell rang.
(2) B reached before C, who reached the school before the bell rang.
a) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
b) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
c) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
d) Statements (1) and (2) TOGETHER are NOT sufficient.
Answer »Answer: (d)
(1) ⇒ Bell range at 7.15 + 5 = 7.20 am
(2) ⇒ Both B and C reached the school before 7.20am (using 1).
But exact time of reaching can't be determined. Hence, comparison is not possible.
GET Data Sufficiency PRACTICE TEST EXERCISES
Data Sufficiency section 1 MCQ
Data Sufficiency section 2 MCQ
Data Sufficiency section 3 MCQ
Data Sufficiency section 4 MCQ
Data Sufficiency section 5 MCQ
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