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- Question
When Rahul was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born?
Options- A. 7 years
- B. 10 years
- C. 14 years
- D. 19 years
- Correct Answer
- 10 years
ExplanationWhen Rahul was born, his brother's age = 6 years; his father's age = (6 + 32) years = 38 years, his mother's age = (38 - 3) years = 35 years; his sister's age = (35 - 25) years = 10 years.
Arithmetic Reasoning problems
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- 1. A bird shooter was askgd how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds he had in the bag in all?
Options- A. 9
- B. 18
- C. 27
- D. 36 Discuss
Correct Answer: 9
Explanation:
There were all sparrows but six' means that six birds were not sparrows but only pigeons and ducks.Similarly, number of sparrows + number of ducks = 6 and number of sparrows + number of pigeons = 6.
This is possible when there are 3 sparrows, 3 pigeons and 3 ducks i.e. 9 birds in all.
- 2. A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and so on. She counted upto 1994. She ended counting on which finger?
Options- A. Thumb
- B. Index finger
- C. Middle finger
- D. Ring finger Discuss
Correct Answer: Index finger
Explanation:
Clearly, while counting, the numbers associated to the thumb will be : 1, 9,17, 25,.....i.e. numbers of the form (8n + 1).
Since 1994 = 249 x 8 + 2, so 1993 shall correspond to the thumb and 1994 to the index finger.
- 3. A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there?
Options- A. 10
- B. 12
- C. 14
- D. 16 Discuss
Correct Answer: 14
Explanation:
Let number of horses = number of men = x.Then, number of legs = 4x + 2 x (x/2) = 5x.
So, 5X = 70 or x = 14.
- 4. A, B, C, D and E play a game of cards. A says to B, "If you give me 3 cards, you will have as many as I have at this moment while if D takes 5 cards from you, he will have as many as E has." A and C together have twice as many cards as E has. B and D together also have the same number of cards as A and C taken together. If together they have 150 cards, how many cards has C got?
Options- A. 28
- B. 29
- C. 31
- D. 35 Discuss
Correct Answer: 28
Explanation:
Clearly, we have :A = B - 3 ...(i)
D + 5 = E ...(ii)
A+C = 2E ...(iii)
B + D = A+C = 2E ...(iv)
A+B + C + D + E=150 ...(v)
From (iii), (iv) and (v), we get: 5E = 150 or E = 30.
Putting E = 30 in (ii), we get: D = 25.
Putting E = 30 and D = 25 in (iv), we get: B = 35.
Putting B = 35 in (i), we get: A = 32.
Putting A = 32 and E = 30 in (iii), we get: C = 28.
- 5. There are deer and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there?
Options- A. 20
- B. 30
- C. 50
- D. 60 Discuss
Correct Answer: 60
Explanation:
Let x and y be the number of deer and peacocks in the zoo respectively. Then,x + y = 80 ...(i) and
4x + 2y = 200 or 2x + y = 100 ...(ii)
Solving (i) and (ii), we get) x = 20, y = 60.
- 6. What is the smallest number of ducks that could swim in this formation - two ducks in front of a duck, two ducks behind a duck and a duck between two ducks?
Options- A. 3
- B. 5
- C. 7
- D. 9 Discuss
Correct Answer: 3
Explanation:
Clearly, the smallest such number is 3.
Three ducks can be arranged as shown above to satisfy all the three given conditions.
- 7. The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner?
Options- A. 15
- B. 29
- C. 61
- D. None of these Discuss
Correct Answer: 29
Explanation:
Clearly, every member except one (i.e. the winner) must lose one game to decide the winner. Thus, minimum number of matches to be played = 30 - 1 = 29.- 8. Pointing towards a man, a woman said, "His mother is the only daughter of my mother." How is the woman related to the man?
Options- A. Mother
- B. Grandmother
- C. Sister
- D. Daughter Discuss
Correct Answer: Mother
Explanation:
Only daughter of my mother ? myself.Hence, the woman is the mother of the man.
- 9.
- B5D means B is the father of D.
- B9D means B is the sister of D.
- B4D means B is the brother of D.
- B3D means B is the wife of D.
Options- A. F3M5K
- B. F5M3K
- C. F9M4N3K
- D. F3M5N3K Discuss
Correct Answer: F3M5K
Explanation:
F3M ? F is the wife of MM5K ? M is the father of K
Therefore, F is the mother of K.
- 10. Pointing to a photograph of a boy Suresh said, "He is the son of the only son of my mother." How is Suresh related to that boy?
Options- A. Brother
- B. Uncle
- C. Cousin
- D. Father Discuss
Correct Answer: Father
Explanation:
The boy in the photograph is the only son of the son of Suresh's mother i.e., the son of Suresh. Hence, Suresh is the father of boy.
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