I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left

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Question
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

Correct Answer

25

Explanation

Clearly, the required number would be such that it leaves a remainder of 1 when divided by 2, 3 or 4 and no remainder when divided by 5. Such a number is 25.

Arithmetic Reasoning problems

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1. 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

2. 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

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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

9. A father tells his son, "I was of your present age when you were born". If the father is 36 now, how old was the boy five years back?
Options
A. 13
B. 15
C. 17
D. 20

10. If every 2 out of 3 readymade shirts need alterations in the sleeves, and every 4 out of 5 need it in the body, how many alterations will be required for 60 shirts?
Options
A. 88
B. 123
C. 133
D. 143

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