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- Question
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
- Correct Answer
- 3/11
Explanation
Arithmetic Reasoning problems
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- 1. 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:
Clearly, we have :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.
- 2. 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:
- 3. 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
- 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 Discuss
Correct Answer: 12
Explanation:
Let the number of boys be x. Then, (3/4)x = 18 or x = 18 x(4/3) = 24.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. 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:
Let Varan's age today = x years.Then, Varan's age after 1 year = (x + 1) years.
Therefore x + 1 = 2 (x - 12) ⟺ x + 1 = 2x - 24 ⟺ x = 25.
- 6. 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:
Each row contains 12 plants.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.
- 7. 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:
Let number of girls = x and number of boys = 3x.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.
- 8. In a class, 20% of the members own only two cars each, 40% of the remaining own three cars each and the remaining members own only one car each. Which of the following statements is definitely true from the given statements?
Options- A. Only 20% of the total members own three cars each.
- B. 48% of the total members own only one car each.
- C. 60% of the total members own at least two cars each.
- D. 80% of the total members own at least one car.
- E. None of these Discuss
Correct Answer: 48% of the total members own only one car each.
Explanation:
Let total number of members be 100,Then, number of members owning only 2 cars = 20.
Number of members owning 3 cars = 40% of 80 = 32.
Number of members owning only 1 car = 100 - (20 + 32) = 48.
Thus, 48% of the total members own one car each.
- 9. At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party?
Options- A. 60
- B. 65
- C. 90
- D. None of these Discuss
Correct Answer: 60
Explanation:
- 10. The total number of digits used in numbering the pages of a book having 366 pages is
Options- A. 732
- B. 990
- C. 1098
- D. 1305 Discuss
Correct Answer: 990
Explanation:
Total number of digits= (No. of digits in 1- digit page nos. + No. of digits in 2-digit page nos. + No. of digits in 3- digit page nos.)
= (1 x 9 + 2 x 90 + 3 x 267) = (9 + 180 + 801) = 990.
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