Q.1 Average marks in a class of 30 students are found to be 45. On checking two mistakes were found. After correction if one student got 45 marks more & another student got 15 marks less, then the corrected average marks are :
A) 47
B) 44
C) 46
D) 45
Ans. C
Total marks of 300 students before correction = 30*45 = 1350
& total marks of 30 students after correction = 1350+45-15
= 1380
Therefore, corrected average marks 1380/30 = 46
Q.2 Average salary of entire staff in an office is Rs. 120 per month. The average salary of officers is Rs. 460 & that of non-officers is Rs. 110. If the number of officers is 15, then find the number of non-officers in the office ?
A) 500
B) 550
C) 510
D) 445
Ans. C
Let number of non-officers be x
110x + 460 * 15 = 120(15+x)
120 – 110x = 460*15 – 120*15
= 15(460-120)
10x = 15*340
X= 15*34
= 510
Q.3 A cricketer has completed 10 innings & his average is 21.5 runs. How many runs must he make in his next Innings so as to raise his average to 24 ?
A) 25
B) 45
C) 30
D) 49
Ans. D
10 (24 – 21.5) + 24
= 25 + 24 = 49
Q.4 Rahina did a Mathematic test. In this test Each correct answer scored 8 marks & each incorrect answer reduced score by 4 marks. The test contained 30 Questions & after completing it ,Rahina had a score of Zero. How many Questions did she answer correctly ?
A) 8
B) 10
C) 15
D) 12
Ans. B
8x – 4y = 0
X + y = 30
On solving,
We get x = 10
Q.5 A tree is 8.4 m tall, another is half its height and the third one is its quarter. What is the average height of the trees?
A) 4.55 m
B) 4.6 m
C) 4.9 m
D) 4.8 m
Ans. C
Height of the first tree = 8.4 m tall
Height of the second tree = ½ 8.4 = 4.2 m
Height of the third tree = ¼ 8.4 = 2.1 m
Total height = 8.4 + 4.2 + 2.1 = 14.7
Average height = = 4.9 m