A, B, C, D and E play a game of cards. A says to B, "If you give me three cards,

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Question
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

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.

Arithmetic Reasoning problems

Search Results

1. 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

2. 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

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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

9. 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

10. 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

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