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- Question
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
- Correct Answer
- 30 birds
Explanation
Arithmetic Reasoning problems
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- 1. 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 Discuss
Correct Answer: 124
Explanation:
Let the number of 20-paise coins be x. Then, number of 25-paise coins = (324 - x).Therefore 0.20 x x + 0.25 (324 - x) = 71 ⟺ 20x + 25 (324 - x) = 7100
⟺ 5x= 1000 ⟺ x = 200. Hence, number of 25-paise coins = (324 - x) - 124.
- 2. 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 Discuss
Correct Answer: 1 billion km
Explanation:
- 3. 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 Discuss
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.- 4. 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 Discuss
Correct Answer: 15
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.
- 5. 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 Discuss
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. 2n-1.
Therefore Income on the 10th day = Rs. 29.
- 6. 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 Discuss
Correct Answer: 13
Explanation:
Let the father's age be x and the son's age be y.Then, x - y = y or x = 2y,
Now, x = 36. So, 2y = 36 or y = 18.
Therefore Son's present age = 18 years.
So, son's age 5 years ago = 13 years.
- 7. 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 Discuss
Correct Answer: 133
Explanation:
- 8. A placed three sheets with two carbons to get two extra copies of the original. Then he decided to get more carbon copies and folded the paper in such a way that the upper half of the sheets were on top of the lower half. Then he typed. How many carbon copies did he get?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
Correct Answer: 2
Explanation:
Since the number of carbons is 2, only two copies can be obtained.- 9. A player holds 13 cards of four suits, of which seven are black and six are red. There are twice as many diamonds as spades and twice as many hearts as diamonds. How many clubs does he hold?
Options- A. 4
- B. 5
- C. 6
- D. 7 Discuss
Correct Answer: 6
Explanation:
Clearly, the black cards are either clubs or spades while the red cards are either diamonds or hearts.Let the number of spades be x. Then, number of clubs = (7 - x).
Number of diamonds = 2 x number of spades = 2x;
Number of hearts = 2 x number of diamonds = 4x.
Total number of cards = x + 2x + 4x + 7 - x = 6x + 7.
Therefore 6x + 7 = 13 ⟺ 6x = 6 ⟺ x - 1.
Hence, number of clubs = (7 - x) = 6.
- 10. Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 is
Options- A. 18
- B. 22
- C. 42
- D. 43 Discuss
Correct Answer: 43
Explanation:
Numbers from 1 to 60, which are divisible by 6 are : 6,12,18, 24, 30, 36,42, 48, 54, 60.There are 10 such numbers.
Numbers from 1 to 60, the sum of whose digits is 6 are : 6, 15, 24, 33, 42, 51, 60.
There are 7 such numbers of which 4 are common to the above ones. So, there are 3such uncommon numbers.
Numbers from 1 to 60, which have 6 as one of the digits are 6, 16, 26, 36, 46, 56, 60.
Clearly, there are 4 such uncommon numbers.
So, numbers 'not connected with 6' = 60 - (10 + 3 + 4) = 43.
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