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Verbal Reasoning - Arithmetic Reasoning

Exercise : Arithmetic Reasoning - Section 2
21.
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
85
80
75
70
Answer: Option
Explanation:

Clearly, out of every 16 persons, there is one captain. So, number of captains (1200/16) = 75.

22.
In a caravan, in addition to 50 hens, there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads in the caravan, the number of keepers is
5
8
10
15
Answer: Option
Explanation:

Let number of keepers be x. Then,

Total number of feet = 2 x 50 + 4 x 45 + 4 x 8 + 2x = 2x + 312.

Total number of heads = 50 + 45 + 8 + x= 103 + x.

Therefore (2x + 312) = (103 + x) + 224 or x = 15.

23.
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?
4 p.m.
5 p.m.
6 p.m.
None of these
Answer: Option
Explanation:

Net ascent of the monkey in 1 hour = (30 - 20) feet = 10 feet.

So, the monkey ascends 90 feet in 9 hours i.e. till 5 p.m.

Clearly, in the next 1 hour i.e. till 6 p.m. the monkey ascends remaining 30 feet to touch the flag.

24.
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 ?
47
65
83
92
Answer: Option
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.

25.
An enterprising businessman earns an income of Re. 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. One the 10th day of business, his income is
Rs. 29
Rs. 210
Rs. 10
Rs. 102
Answer: Option
Explanation:

Income on the first day = Re. 1.

Income on the 2nd day = Rs. (1x2) = Rs. 21.

Income on the 3rd day = Rs. (21 x 2) = Rs. 22 and so on. Thus, Income on the rath day = Rs. 2n-1.

Therefore Income on the 10th day = Rs. 29.

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