Arithmetic Reasoning problems
- 1. A tailor had a number of shirt pieces to cut from a roll of fabric. He cut each roll of equal length into 10 pieces. He cut at the rate of 45 cuts a minute. How many rolls would be cut in 24 minutes?
Options- A. 32 rolls
- B. 54 rolls
- C. 108 rolls
- D. 120 rolls Discuss
Correct Answer: 120 rolls
Explanation:
Therefore Required number of rolls = (45 x 24)/9 = 120.
- 2. A farmer built a fence around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether?
Options- A. 100
- B. 104
- C. 108
- D. None of these Discuss
Correct Answer: 104
Explanation:
Total number of poles needed = 27 x 4 - 4 = 108 - 4 = 104.
- 3. Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today?
Options- A. 20 years
- B. 22 years
- C. 25 years
- D. 27 years Discuss
Correct Answer: 25 years
Explanation:
Then, Varan's age after 1 year = (x + 1) years.
Therefore x + 1 = 2 (x - 12) ⟺ x + 1 = 2x - 24 ⟺ x = 25.
- 4. In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?
Options- A. 6
- B. 12
- C. 18
- D. 24 Also asked in: Bank Exams
Correct Answer: 12
Explanation:
If total number of students is y, then (2/3) y = 24 or y = 24 x (3/2) = 36.
Therefore Number of girls in the class = (36 - 24) = 12.
- 5. An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. What fraction of the total number of students took part in the fete?
Options- A. 2/13
- B. 13/40
- C. Data inadequate
- D. None of these Discuss
Correct Answer: Data inadequate
- 6. Mr. Johnson was to earn £ 300 and a free holiday for seven weeks' work. He worked for only 4 weeks and earned £ 30 and a free holiday. What was the value of the holiday?
Options- A. £ 300
- B. £ 330
- C. £ 360
- D. £ 420 Discuss
Correct Answer: £ 330
Explanation:
- 7. A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have?
Options- A. 22
- B. 23
- C. 25
- D. 35 Discuss
Correct Answer: 25
Explanation:
B-3 = E ...(i)
B + 3 = D ...(ii)
A+B = D + E+10 ...(iii)
B = C + 2 ...(iv)
A+B + C + D + E= 133 ...(v)
From (i) and (ii), we have : 2 B = D + E ...(vi)
From (iii) and (vi), we have : A = B + 10 ...(vii)
Using (iv), (vi) and (vii) in (v), we get:
(B + 10) + B + (B - 2) + 2B = 133 ⟺ 5B = 125 ⟺ B = 25.
- 8. Three friends had dinner at a restaurant. When the bill was received, Amita paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Tanya paid. What faction of the bill did Veena pay?
Options- A. 1/3
- B. 3/11
- C. 12/13
- D. 5/8 Discuss
Correct Answer: 3/11
Explanation:
- 9. In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is
Options- A. 20 m
- B. 22 m
- C. 24 m
- D. 26 m Discuss
Correct Answer: 24 m
Explanation:
There are 11 gapes between the two corner trees (11 x 2) metres and 1 metre on each side is left.
Therefore Length = (22 + 2) m = 24 m.
- 10. The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of children in the class?
Options- A. 48
- B. 44
- C. 42
- D. 40 Discuss
Correct Answer: 42
Explanation:
Then, 3x + x = 4x = total number of students.
Thus, to find exact value of x, the total number of students must be divisible by 4.
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