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- Question
After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 sweets would have been left after equal distribution. What was the total number of sweets?
Options- A. 328
- B. 348
- C. 358
- D. Data inadequate
- Correct Answer
- 358
ExplanationLet the total number of sweets be (25x + 8).Then, (25x + 8) - 22 is divisible by 28
⟺ (25x - 14) is divisible by 28 ⟺ 28x - (3x + 14) is divisible by 28
⟺ (3x + 14) is divisible by 28 ⟺ x = 14.
Therefore Total number of sweets = (25 x 14 + 8) = 358.
Arithmetic Reasoning problems
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- 1. 'Jade' is related to 'Green' in the same way as 'Garnet' is related to:
Options- A. Red
- B. Blue
- C. Orange
- D. Yellow Discuss
Correct Answer: Red
Explanation:
'Jade' is a 'green' precious stone in the same way 'Garnet' is a 'red' precious stone.- 2. 'Flower' is related to 'Bud' in the same way as 'Fruit' is related to:
Options- A. Seed
- B. Tree
- C. Flower
- D. Stem Discuss
Correct Answer: Flower
Explanation:
As 'Flower' is made from 'Bud' similarly 'Fruit' is made from 'Flower'.- 3. 'Reading' is related to 'knowledge' in the same way as 'Work' is related to:
Options- A. Money
- B. Employment
- C. Experience
- D. Engagement Discuss
Correct Answer: Experience
Explanation:
As 'Knowledge' is achieved by 'Reading' in the same way 'Experience' is achieved by 'Work'.- 4. 'Nun' is related to 'Convent' in the same way as 'Hen' is related to:
Options- A. Nest
- B. Shed
- C. Cell
- D. Cote Discuss
Correct Answer: Cote
Explanation:
As dwelling place of 'Nun' is 'Convent' similarly the dwelling place of 'Hen' is 'Cote'.- 5. 'Walk' is related to 'Run' in the same way as 'Breeze' is related to:
Options- A. Cold
- B. Dust
- C. Wind
- D. Air Discuss
Correct Answer: Wind
Explanation:
As fast mode of 'Walk' is 'Run' in the same way fast mode of 'Breeze' is 'Wind'.- 6. Between two book-ends in your study are displayed your five favourite puzzle books. If you decide to arrange the five books in every possible combination and moved just one book every minute, how long would it take you?
Options- A. 1 hour
- B. 2 hours
- C. 3 hours
- D. 4 hours Discuss
Correct Answer: 2 hours
Explanation:
Clearly, number of ways of arranging 5 books = 5 ! = 5 x 4 x 3 x 2 x 1 = 120.So, total time taken = 120 minutes = 2 hours.
- 7. First bunch of bananas has (1/4) again as many bananas as a second bunch. If the second bunch has 3 bananas less than the first bunch, then the number of bananas in the first bunch is
Options- A. 9
- B. 10
- C. 12
- D. 15 Discuss
Correct Answer: 15
Explanation:
- 8. In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is
Options- A. 5
- B. 7
- C. 10
- D. 12 Discuss
Correct Answer: 7
Explanation:
Let the number of cows be x and the number of hens be y.Then, 4x + 2y = 2 (x + y) + 14 ⟺ 4x + 2y = 2x + 2y + 14 ⟺ 2x = 14 ⟺ x = 7.
- 9. 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 Discuss
Correct Answer: 47
Explanation:
Let 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.
- 10. At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether?
Options- A. 20
- B. 45
- C. 55
- D. 90 Discuss
Correct Answer: 45
Explanation:
Clearly, total number of handshakes = (9+ 8 + 7 + 6 + 5 + 4 + 3 + 2+1) = 45.
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