An enterprising businessman earns an income of Re. 1 on the first day of his bus

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Question
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
Options
A. Rs. 2⁹
B. Rs. 2¹⁰
C. Rs. 10
D. Rs. 10²

Correct Answer

Rs. 2⁹

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. 2^n-1.

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

Arithmetic Reasoning problems

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1. Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake?
Options
A. 120 grams
B. 140 grams
C. 240 grams
D. 280 grams
E. None of these

2. 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

3. 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

4. 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

5. 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

6. 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
Options
A. 5
B. 8
C. 10
D. 15

7. I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute?
Options
A. 25
B. 37
C. 54
D. 65

8. If a 1 mm thick paper is folded so that the area is halved at every fold, then what would be the thickness of the pile after 50 folds?
Options
A. 100 km
B. 1000 km
C. 1 million km
D. 1 billion km

9. A total of 324 coins of 20 paise and 25 paise make a sum of Rs. 71. The number of 25-paise coins is
Options
A. 120
B. 124
C. 144
D. 200

10. A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed
Options
A. 30 birds
B. 60 birds
C. 72 birds
D. 90 birds

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