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- Question
A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly?
Options- A. 12
- B. 16
- C. 18
- D. 24
- Correct Answer
- 16
ExplanationSuppose the boy got x sums right and 2x sums wrong.Then, x + 2x = 48 ⟺ 3x = 48 ⟺ x = 16.
Arithmetic Reasoning problems
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- 1. Nitin's age was equal to square of some number last year and the following year it would be cube of a number. If again Nitin's age has to be equal to the cube of some number, then for how long he will have to wait?
Options- A. 10 years
- B. 38 years
- C. 39 years
- D. 64 years Discuss
Correct Answer: 38 years
Explanation:
Clearly, we have to first find two numbers whose difference is 2 and of which the smaller one is a perfect square and the bigger one a perfect cube.Such numbers are 25 and 27.
Thus, Nitin is now 26 years old. Since the next perfect cube after 27 is 64,
so required time period = (64 - 26) years = 38 years.
- 2. The taxi charges in a city comprise of a fixed charge, together with the charge of the distance covered. For a journey of 16 km, the charges paid are Rs. 156 and for a journey of 24 km, the charges paid are Rs. 204. What will a person have to pay for travelling a distance of 30 km?
Options- A. Rs. 236
- B. Rs. 240
- C. Rs. 248
- D. Rs. 252 Discuss
Correct Answer: Rs. 240
Explanation:
Let the fixed charge be Rs. x and variable charge be Rs.y per km. Then,x + 16y = 156 ...(i) and
x + 24y = 204 ...(ii)
Solving (i) and (ii), we get: x = 60, y = 6.
Therefore Cost of travelling 30 km = 60 + 30 y = Rs. (60 + 30 x 6) = Rs. 240.
- 3. Find the number which when added to itself 13 times, gives 112.
Options- A. 7
- B. 8
- C. 9
- D. 11 Discuss
Correct Answer: 8
Explanation:
Let the number be x. Then, x + 13x = 112 ⟺ 14x = 112 ⟺ x = 8.- 4. David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?
Options- A. 19
- B. 28
- C. 30
- D. 37 Discuss
Correct Answer: 30
Explanation:
- 5. A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have?
Options- A. 1000
- B. 1074
- C. 1075
- D. 1080 Discuss
Correct Answer: 1074
Explanation:
No. of digits in 1-digit page nos. = 1x9 = 9.No. of digits in 2-digit page nos. = 2 x 90 = 180.
No. of digits in 3-digit page nos. = 3 x 900 = 2700.
No. of digits in 4-digit page nos. = 3189 - (9 + 180 + 2700) = 3189 - 2889 = 300.
Therefore No. of pages with 4-digit page nos. = (300/4) = 75.
Hence, total number of pages = (999 + 75) = 1074.
- 6. In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of that of his mother. The wife is 9 years younger to her husband and the brother is seven years older than his sister. What is the age of the mother?
Options- A. 40 years
- B. 45 years
- C. 50 years
- D. 60 years Discuss
Correct Answer: 60 years
Explanation:
Let the daughter's age be x years.Then, father's age = (3x) years.
Mother's age = (3x - 9) years; Son's age = (x + 7) years.
So, x + 7 = (3x-9)/2 ⟺ 2x + 14 = 3x - 9 ⟺ x = 23.
Therefore Mother's age = (3X - 9) = (69 - 9) years = 60 years.
- 7. On Children's Day, sweets were to be equally distributed among 175 children in a school. Actually on the Children's Day, 35 children were absent and therefore each child got 4 sweets extra. Total how many sweets were available for distribution?
Options- A. 2400
- B. 2480
- C. 2680
- D. 2800 Discuss
Correct Answer: 2800
Explanation:
- 8. 1, 1, 2, 6, 24,?, 720
Options- A. 100
- B. 104
- C. 108
- D. 120 Discuss
Correct Answer: 120
Explanation:
The pattern is x 1, x 2, x 3, x 4,.....So, missing term = 24 x 5 = 120.
- 9. 2, 15, 4, 12, 6, 7,?,?
Options- A. 8, 8
- B. 8, 0
- C. 3, 8
- D. None of these Discuss
Correct Answer: 8, 0
Explanation:
Let the missing terms of the series be x1 and x2.Thus, the sequence 2, 15, 4, 12, 6, 7, x1 x2 is a combination of two series :
I. 2, 4, 6, x1 and II. 15, 12, 7, x2I consists of consecutive even numbers.
So, missing term, x1 = 8.
The pattern in II is - 3, - 5,......So, missing term, x2 = 7 - 7 = 0.
- 10. 4832, 5840, 6848,?
Options- A. 7815
- B. 7846
- C. 7856
- D. 7887 Discuss
Correct Answer: 7856
Explanation:
The pattern is + 1008.So, missing term - 6848 + 1008 = 7856.
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