1000+ Maths Entrance Exam Questions and Answers Pdf - 1

Question: 1

The average age of A, B and C is 26 years, if the average age of A and C is 29 years, what is the age of B in years?

(A) 20

(B) 23

(C) 26

(D) 29

Ans: A

Age of B = Age of (A + B + C) - Age of (A + C)

= 26 × 3 - 29 × 2 = 78 - 58 = 20 years.

Question: 2

In a school, the average age of students is 6 years, and the average age of 12 teachers is 40 years. If the average age of the combined group of all the teachers and the students is 7 years, then the number of students is

(A) 376

(B) 396

(C) 400

(D) 416

Ans: B

Let the number of students be x.

∴ 6x + 12 × 40 = 7(x + 12)

⇒ 6x + 480 = 7x + 84

⇒ x = 396.

Question: 3

The average age of A and B is 20 years, that of B and C is 19 years and that of A and C is 21 years. What is the age (in years) of B?

(A) 18

(B) 21

(C) 29

(D) 31

Ans: A

Total age of A and B = 40

Total age of B and C = 38

Total age of A and C = 42

Total age of A + B + C = 60

∴ Age of B = 60 - 42 = 18.

Question: 4

The cost of 5 kg of apples is Rs.450. the cost of 12 dozen mangoes is Rs.4320, and the cost of 4 kg of oranges is Rs.240. What is the total cost of 8 kg of apples, 8 dozens of mangoes and 8 kg of oranges?

(A) Rs.4000

(B) Rs.4020

(C) Rs.4050

(D) Rs.4080

Ans: D

Cost of 8 Kg of apples + 8 dozens of mangoes + 8 kg of oranges

= $${450}/{5} × 8 + {4320} /{12} × 8 + {240}/{4} × 8$$

= 720 + 2880 + 480 = Rs.4080.

Question: 5

The mean of 100 items was 46. Later on it was discovered than an item 116 was misread as 61 and another item 43 was misread as 34. It was also found that the number of items was 90 and not 100. Then what is the correct mean?

(A) 50

(B) 50.2

(C) 50.7

(D) 52.7

Ans: C

Required average = $${100 × 46 - 61 - 34 + 16 + 43} / {90}$$

= $${4600 - 36} / {90}$$ = $${4564} / {90}$$ = 50.7.

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