Q.1 A student on her first 3 tests received an average score of N points. If she exceeds her previous average score by 20 points on her fourth test, then what is the average score for the first 4 tests?
A) N + 20
B) N + 10
C) N + 4
D) N + 5
Ans. D
Required Average= 4N+20/4
= 4N/4 + 20/
= N+5
Q.2 If the weight of a group of 20 boys was calculated to be 89.4 kg& it was later discovered that one weight was misread as 78 kg instead of the correct one of 87 kg. Then the correct average weight (in kg ) is:
A) 89.25
B) 89.85
C) 88.95
D) 89.55
Ans. B
Total weight of 20 boys which is wrong = 89.4 * 20
= 1788 kg
Therefore, correct weight of 20 boys = 1788 – 78 + 87
= 1797 kg
Therefore, correct average weight = 1797 / 20 = 89.85 kg
Q.3 Average salary of 100 employees in an office is Rs.16000 /month. Management decided to raise salary of every employee by 5% but stopped a transport allowance of Rs. 800 /month which was paid earlier to every employee. What will be the average monthly salary ?
A) Rs.16500
B) Rs. 16000
C) Rs. 16800
D) Can’t be determined
Ans. B
Increament = 5% of 16000
16000*5/100 = Rs. 800
Therefore incremented salary = 16000+800 = 16800
New salary after deducting transport allowance = 16800-800 =Rs. 16000
Q.4 Average marks obtained by the 120 candidates in a certain exam is 35. If the average marks of the passed candidates is 39 & that of the failed candidates is 15. What is the no. of candidates passed the exams ?
A) 100
B) 200
C) 120
D) 220
Ans. A
Shortcut:
No. of passed candidates = Total Candidates (Total average – Failed average) / Passed average – Failed Average
Therefore, 120*(35-15) / 39-15
=100
Q.5 A man spends on an average Rs.450 for the first 8 months & Rs. 475 for the next 4 months. If he saves Rs.500. What is the monthly salary?
A) 300
B) 400
C) 500
D) 600
Ans. C
450*8 = 3600
475*4 = 1900
Therefore, total expenditure = Rs.500
But saving is : 500
Thus total salary is=6000
So, Monthly salary = 6000/2 = 500 Rs.