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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. ba__cb__b__bab
Options- A. .acbb
- B. .bacc
- C. .bcaa
- D. .cabb Discuss
Correct Answer: .bacc
Explanation:
the pattern is ... babc
- 2. Find the odd one out:
Options- A. Rabbit
- B. rat
- C. mongoose
- D. Squirrel Discuss
Correct Answer:
Explanation:
All are rodents or rat family, except cat.
- 3. NA
Options- A. Basket
- B. Barrel
- C. Bag
- D. Barrow Discuss
Correct Answer: Barrow
Explanation:
Barrow' is man-driven cart whereas others are usual.
- 4. NA
Options- A. B-F
- B. J-N
- C. M-Q
- D. T-U Discuss
Correct Answer: T-U
Explanation:
Except option (d), all letters in pairs having difference of four.
- 5. 10 : 91 :: 9 :?
Options- A. 69
- B. 72
- C. 9
- D. 97 Discuss
Correct Answer: 72
Explanation:
The relationship is x : (x2 - 9).
- 6. 63 : 21 :: 27 :?
Options- A. 6
- B. 9
- C. 1
- D. 3 Discuss
Correct Answer: 9
Explanation:
63/3 = 21
27/3 = 9- 7. Who sits between G and D?
Options- A. H
- B. D
- C. F
- D. E Discuss
Correct Answer: F
Explanation:
F
- 8. Find the odd one out:
Options- A. 49
- B. 36
- C. 65
- D. 100 Discuss
Correct Answer: 65
Explanation:
Except option (c) rest all are perfect squares.
- 9. NA
Options- A. Ring
- B. Tyre
- C. Plate
- D. Bangle Discuss
Correct Answer: Plate
Explanation:
Except, `Plate', all two in number.
- 10. NA
Options- A. Huge
- B. Tiny
- C. Heavy
- D. Small Discuss
Correct Answer: Heavy
Explanation:
All other terms are used to denote the size.
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