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Math MCQ Questions with answers

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Learn Math MCQs [Page 1 of Department 36]

1) The mean of 11 numbers is 35. If the mean of first 6 numbers is 32 and that of the last 6 numbers is 37, find the sixth number.

(A) 28
(B) 29
(C) 30
(D) 27

Category: Math Added by: Parvesh Kanani

Correct Answer - Option (B)

Explanation:
Given , Sum of 11 numbers = 35 × 11 = 385 Sum of the first 6 numbers = 32 × 6 = 192 and Sum of the next 9 numbers = 37 × 6 = 222 ∴ Sixth number = Sum of the first 6 numbers + Sum of the last 6 numbers – Sum of 11 numbers Sixth number= 192 + 222 – 385 = 29

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2) Out of four numbers, the average of the first three is 18 and that of the last three is 16. If the last number is 19, the first is

(A) 19
(B) 18
(C) 20
(D) 25

Category: Math Added by: Parvesh Kanani

Correct Answer - Option (D)

Explanation:
Here , Sum of first three = 18 × 3 ⇒ a + b + c = 54 and Sum of last three = 16 × 3 ⇒ b + c + d = 48 last number = 19 ∴ a + b + c – b – c – d ⇒ 54 – 48 = 6 ⇒ a – d = 6 ⇒ a – 19 = 6 ⇒ a = 19 + 6 = 25

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3) The average of three numbers is 135. The largest number is 195 and the difference between the other two is 20. The smallest number is

(A) 65
(B) 95
(C) 105
(D) 115

Category: Math Added by: Parvesh Kanani

Correct Answer - Option (B)

No Explanation found. Add Explanation and get +2 points.

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4) The average of eight successive numbers is 6.5. The average of the smallest and the greatest numbers among them will be

(A) 4
(B) 6.5
(C) 7.5
(D) 9

Category: Math Added by: Parvesh Kanani

Correct Answer - Option (B)

No Explanation found. Add Explanation and get +2 points.

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5) The average of 11 results is 50. If the average of the first six results is 49 and that of the last six is 52, the sixth no. is

(A) 48
(B) 50
(C) 52
(D) 56

Category: Math Added by: Parvesh Kanani

Correct Answer - Option (D)

Explanation:
Here , Sum of 11 results = 50 × 11 = 550 Sum of the first six results = 49 × 6 = 294 and Sum of the last six results = 52 × 6 = 312 ∴ Sixth result = Sum of the first six results + Sum of the last six results – Sum of 11 results Sixth result = 294 + 312 – 550 = 56

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6) The average of 30 numbers is 12. The average of the first 20 of them is 11 and that of the next 9 is 10. The last number is

(A) 60
(B) 45
(C) 40
(D) 50

Category: Math Added by: Parvesh Kanani

Correct Answer - Option (D)

Explanation:
Given , Sum of 30 numbers = 30 × 12 = 360 Sum of the first 20 numbers = 20 × 11 = 220 and Sum of the next 9 numbers = 9 × 10 = 90 ∴ Last number = Sum of 30 numbers – Sum of the first 20 numbers – Sum of the next 9 numbers Last number = 360 – 220 – 90 Last number = 360 – 310 = 50

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7) In a certain year, the average monthly income of a person was ₹ 3,400. For the first eight months of the year, his average monthly income was ₹ 3,160 and for the last five months, it was ₹ 4,120. His income in the eighth month of the year was

(A) ₹ 3,160
(B) ₹ 5,080
(C) ₹ 15,520
(D) ₹ 5,520

Category: Math Added by: Parvesh Kanani

Correct Answer - Option (B)

Explanation:
Given that , average income of a person = ₹ 3,400 Sum of annual income of a person = ₹ ( 3,400 x 12 ) Sum of first eight month income of a person = ₹ ( 3160 x 8 ) Sum of last five month income of a person = ₹ ( 5 × 4120 ) ∴ Person’s income in the eighth month = (3160 × 8 + 5 × 4120 – 12 × 3400) Person’s income in the eighth month = (25280 + 20600 – 40800) = 5080

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8) Out of seven given numbers, the average of the first four numbers is 4 and that of the last four numbers is also 4. If the average of all the seven numbers is 3, fourth number is

(A) 3
(B) 4
(C) 7
(D) 11

Category: Math Added by: Parvesh Kanani

Correct Answer - Option (D)

Explanation:
Average of the first four numbers = 4 Sum of the first four numbers = 4 × 4 Average of the last four numbers = 4 Sum of the last four numbers = 4 × 4 Average of all the seven numbers = 3 Sum of the seven numbers = 3 × 7 ∴ Fourth number = ( Sum of the first four numbers + Sum of the last four numbers ) - Sum of the seven numbers Fourth number = (4 × 4 + 4 × 4 – 3 × 7) Fourth number = (16 + 16 - 21) = 11

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9) The ratio of efficiency of A is to C is 5:3. The ratio of number of days taken by B is to C is 2:3. A takes 6 days less than C, when A and C completes the work individually. B and C started the work and left after 2 days. The number of days taken by A to finish the remaining work is:

(A) 4.5
(B) 5
(C) 6
(D) 9 (1/3)

Category: Math Added by: Indresh

Correct Answer - Option (C)

No Explanation found. Add Explanation and get +2 points.

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