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- Question
A number consists of two digits whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number?
Options- A. 47
- B. 65
- C. 83
- D. 92
- Correct Answer
- 47
ExplanationLet the ten's digit be x. Then, unit's digit = (11 - x).So, number = 10x + (11 - x) = 9x + 11.
Therefore (9x + 11) + 27 = 10 (11 - x) + x ⟺ 9x + 38 = 110 - 9x ⟺ 18x = 72 ⟺ x = 4.
Thus, ten's digit = 4 and unit's digit = 7.
Hence, required number = 47.
More questions
- 1. Choose the word which is different from the rest.
Options- A. Bajra
- B. Mustard
- C. Rice
- D. Wheat
- E. Barley Discuss
Correct Answer: Mustard
Explanation:
All except Mustard are foodgrains, while mustard is an oilseed.- 2. Find the odd one out:
Options- A. 263
- B. 111
- C. 242
- D. 551 Discuss
Correct Answer:
Explanation:
In all the numbers except 383, the middle digit is the product of the other two digits.
- 3. Find the odd one out:
Options- A. 21
- B. 69
- C. 81
- D. 83 Discuss
Correct Answer: 83
Explanation:
All are multiple of 3 except 83.
- 4. 16 : 56 :: 32 :?
Options- A. 96
- B. 112
- C. 120
- D. 128 Discuss
Correct Answer: 112
Explanation:
As, 16:56 = (2/7)Similarly, 32:112:(2/7)
- 5. 8 : 24 ::? : 32
Options- A. 5
- B. 6
- C. 10
- D. 8 Discuss
Correct Answer: 6
Explanation:
24 ? 2 x 4 = 832 ? 3 x 2 = 6
- 6. 'Uneasy' is to 'Quite" as 'Fit' is to
Options- A. Proper
- B. Suitable
- C. Pertinent
- D. Unfit Discuss
Correct Answer: Unfit
Explanation:
'Uneasy' and 'Quiet' are opposite to each other. Likewise, 'Fit' and 'Unfit' are opposite to each other
- 7. NA
Options- A. Desire
- B. Hope
- C. Want
- D. Belief Discuss
Correct Answer: Belief
Explanation:
Belief is a different word from others.
- 8. Statement :
1. Some clerks are poor;
2. A is poor
Conclusion :
I. A is clerk.
II. A has a large family.
Options- A. Both conclusions I and Ii
- B. Only conclusion II
- C. Only conclusion I follows.
- D. Neither conclusion I nor conclusion Ii follows. Discuss
Correct Answer: Neither conclusion I nor conclusion Ii follows.
Explanation:
It is not necessary that A is a clerk though he is poor.
- 9. Ant : Fly : Bee
Options- A. Termite
- B. Insect
- C. Lizard
- D. Small Discuss
Correct Answer: Insect
Explanation:
All are insects.
- 10. NA
Options- A. Radium
- B. Thorium
- C. Sodium
- D. Uranium Discuss
Correct Answer: Sodium
Explanation:
Except 'Sodium' all other are radioactive.
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