A number consists of two digits whose sum is 11. If 27 is added to the number, t

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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

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.

Arithmetic Reasoning problems

Search Results

1. 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

2. 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

3. 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

4. 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

5. 'Jade' is related to 'Green' in the same way as 'Garnet' is related to:
Options
A. Red
B. Blue
C. Orange
D. Yellow

6. 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

7. A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 8.00 a.m., at what time will he first touch a flag at 120 feet from the ground?
Options
A. 4 p.m.
B. 5 p.m.
C. 6 p.m.
D. None of these

8. In a class, 3/5 of the students are girls and rest are boys. If 2/9 of the girls and 1/4 of the boys are absent, what part of the total number of students is present?
Options
A. 17/25
B. 18/49
C. 23/30
D. 23/36

9. A group of 1200 persons consisting of captains and soldiers is travelling in a train. For every 15 soldiers there is one captain. The number of captains in the group is
Options
A. 85
B. 80
C. 75
D. 70

10. If a clock takes seven seconds to strike seven, how long will it take to strike ten?
Options
A. 7 seconds
B. 9 seconds
C. 10 seconds
D. None of these

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