Top 1,000+ TNPSC Aptitude Question Bank - 1

Question: 1

The average of 4 positive integers is 59. The highest integer is 83 and the lowest integer is 29. The difference between the remaining two integers is 28. Which of the following integers is highest of the remaining two integers?

(A) 39

(B) 40

(C) 48

(D) 76

Ans: D

Sum of four integers = 59 × 4 = 236.

Let the required integers be x and x -28.

Then, x + (x – 28) = 236 – (83 + 29) = 124.

⇒ 2x = 152 ⇒ x = 76.

Hence, required integer = 76.

Question: 2

The average height of 35 girls in a class was calculated as 160 cm. It was later found that the height of one of the girls in the class was wrongly written as 144 cm, whereas her actual height was 104 cm. What is the actual average height of the girls in the class? (rounded off to 2 digits after decimal)

(A) 158.52 cm

(B) 158.54 cm

(C) 158.86 cm

(D) 159.56 cm

Ans: C

Correct sum = (160 × 35 + 104 - 144) cm = 5560 cm.

∴ Actual average height = $${5560}/{35}$$cm = 158.857 cm ≈ 158.86 cm.

Question: 3

The average of 11 players of a cricket team is decreased by 2 months when two of them aged 17 years and 20 years are replaced by two new players. The average age of the new players is

(A) 17 years 1 month

(B) 17 years 3 month

(C) 17 years 7 month

(D) 17 years 11 month

Ans: C

Total age decreased = (11 × 2) months = 22 months. = 1 year 10 months.

∴ Average of two new players = $$({35 years 2 months}/{2})$$

                                             = 17 years 7 months.

Question: 4

A shop of electronic goods is closed on Monday. The average daily sales for remaining six days of a week is Rs.15,640 and the average sale on Tuesday to Saturday is Rs.14,124. The sales on Sunday is

(A) Rs. 20,188

(B) Rs. 21,704

(C) Rs. 22,188

(D) Rs. 23,220

Ans: D

Average sales per day for six days of the week = Rs. 15,640

Total sales of six days of the week = 15640 × 6 = Rs. 93,840

Average sales of Tuesday to Saturday = Rs. 14,124

Total sales from Tuesday to Saturday = 14,124 × 5 = Rs. 70,620

∴ Sales on Sunday = (Rs. 93, 480 - 70,620) = Rs. 23,220.

Question: 5

The average of 11 results is 60. If the average of first six results is 58 and that of last six is 63, find the 6th result.

(A) 54

(B) 64

(C) 66

(D) 68

Ans: C

The average of 11 results = 60

The total of 11 results = 60 × 11 = 660

Average of first six results = 58

Average of last six results = 63

Total of first six results = 58 × 6 = 348

Total of last six results = 63 × 6 = 378

∴ Sixth results = total of first and last six results = total of 11 results

= (348 + 378) - 660 = 726 - 660 = 66.

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