Data Sufficiency section 1 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) S < 4
(2) t = 18
(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: (a)
Given, t = nS
From (1) : The value of S will be either 3 or 2
From (2) : t = 18
Hence, we can find the answer using both the statements.
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Read more question and answers set 1 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 numbered from 5 to 9. A letter from these matrics can be represented first by its row and next by its column, for example, 'W' can be represented by 21, 23 etc. and 'J' can be represented by 79, 97 etc. Similarly, you have to identify the set for the word 'GERM'.Matrix-I
| 0 | 1 | 2 | 3 | 4 | |
| 0 | M | A | R | E | G |
| 1 | G | E | M | Q | H |
| 2 | U | W | R | W | P |
| 3 | G | V | A | P | O |
| 4 | M | A | R | Y | I |
| 5 | 6 | 7 | 8 | 9 | |
| 5 | V | M | P | G | M |
| 6 | R | P | E | D | U |
| 7 | P | M | G | E | J |
| 8 | N | R | E | A | K |
| 9 | M | U | J | S | L |
a) 30, 67, 44, 40
b) 10, 11, 02, 59
c) 04, 87, 31, 76
d) 77, 96, 12, 95
Answer »Answer: (b)
G= 04, 10 , 30, 58, 77
E= 03, 11 , 67, 78, 87
R= 02 , 22, 42, 65, 86
M = 00, 12, 40, 56, 59 , 76, 95
For 'GERM' the set of numbers is 10, 11, 02, 59.
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, 43, etc., and 'R' can be represented by 66, 57, etc. Similarly, you have to identify the set for the word 'BRIDE' Matrix-I
| 0 | 1 | 2 | 3 | 4 | |
| 0 | A | B | D | E | N |
| 1 | N | E | D | A | B |
| 2 | E | N | A | B | D |
| 3 | B | D | E | N | A |
| 4 | D | A | B | N | E |
| 5 | 6 | 7 | 8 | 9 | |
| 5 | O | S | R | P | I |
| 6 | S | R | O | I | P |
| 7 | R | I | P | S | O |
| 8 | P | O | I | R | S |
| 9 | I | P | S | O | R |
a) 30, 88, 68, 24, 32
b) 42, 75, 68, 24, 34
c) 96, 88, 68, 24, 32
d) 30, 76, 66, 24, 32
Answer »Answer: (a)
B = 01, 14, 23, 30 42
R = 57, 66, 75, 88 , 99
I = 59, 68 , 76, 87, 95
D = 02, 12, 24 , 31, 40
E = 03, 11, 20, 32 , 44
For BRIDE, the set of numbers is 30, 88, 68, 24, 32.
Question : 3
A word is represented by only one set of number 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, 43 etc., and 'R' can be represented by 66, 58 etc. Similarly, you have to identify the set for the word 'HAIRY'. Matrix-I
| 0 | 1 | 2 | 3 | 4 | |
| 0 | A | S | E | H | A |
| 1 | Q | D | H | L | S |
| 2 | W | N | T | K | D |
| 3 | H | D | Y | A | F |
| 4 | R | G | A | N | G |
| 5 | 6 | 7 | 8 | 9 | |
| 5 | Y | T | I | R | F |
| 6 | G | R | P | L | R |
| 7 | I | O | U | R | M |
| 8 | D | F | R | K | Q |
| 9 | S | R | W | D | Y |
a) 03, 33, 57, 78, 99
b) 03, 33, 57, 77, 99
c) 03, 33, 57, 78, 96
d) 03, 33, 75, 79, 99
Answer »Answer: (a)
H = 03 , 12, 30
A = 00, 04, 33 , 42
I = 57 , 75
R = 40, 58, 66, 69, 78 , 87, 96
Y = 32, 55, 99
For HAIRY, the set of numbers is 03, 33, 57, 78, 99.
Question : 4
Average age of 50 employees working in a departmental store is 30 years. In the next year, ten workers will retire. What will be the average age in the next year?
(1) Retirement age is sixty years.
(2) There are 100 workers in the department.
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: (c)
Given : Sum of ages of employees = 1500
(1) ⇒ In the next year, sum of ages = 1500 – 10 × 59
and remaining employees = 50 – 10 = 40
Hence, average age in next year can be calculated.
(2) ⇒ It is insufficient to answer the question.
Question : 5
ABCD is a square. What is the value of circumference of the inner circle?
(1) The radius of the outer circle is 10 cm.
(2) The difference between the radii of the two circles is 2.929 cm.
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: (c)
(1) ⇒ OC = 10 cm
∴ Diagonal of square = 20 cm
⇒ Side of square = ${20}/√2 = 10√2$ cm
∴ radius of the inner circle OE = ${10 √2}/2 = 5√2$ cm. Hence circumference of inner circle can be determined. Therefore, statement (1) alone is sufficient to answer the question.
(2) ⇒ It is not sufficient to answer the question.
Question : 6
What is Sudha's present age ?
(1) Sudha's present age is five times her son's present age.
(2) Five years ago her age was twenty-five times her son's age that time.
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: (a)
(1) ⇒ M = 5S
(2) ⇒ M – 5 = 25 (S – 5)
Solving these equations, we get the value of M. Therefore, both statements together are required to answer the question.
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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