June 23, 2019
Question 1
If a, b, c, d, e are five consecutive odd numbers, their average is
5(a + 4)
abde/5
5(a + b + c + d + e)
a + 4
Good Job!
Oops!
b = a + 2 c = b + 2 = a + 4 d = c + 2 = a + 6 e = d + 2 = a + 8 Therefore, Required average = (a + a + 2 + a + 4 + a + 6 + a + 8)/5 = a + 4
Please login to submit your explanation
You can check your performance of this question after Login/Signup
Start
Question 2
The average of 20 numbers is 15 and the average of first five is 12. The average of the rest is
16
15
14
13
If the average of remaining numbers be x, then 20 × 15 = 5 × 12 + 15x ⇒ 300 = 60 + 15x ⇒ 15x = 300 – 60 = 240 => x = 240/15 = 16
Question 3
A man whose bowling average is 12.4, takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets taken by him before his last match is?
82
83
84
85
Let he has taken X wickets before the match. And runs given with the average 12.4, So total run given was, = 12.4X Runs given including this match, 12.4X +26 with the average of 12. Now, (12.4X+26)/(X+5) = 12 12.4X + 26 = 12X + 60 0.4X = 34 X = 85 wickets
Question 4
16 men went to a restaurant. Fifteen of them paid Rs.80 each and the sixteenth man paid Rs.75 more than the average of all the 16 men. What is the total bill?
Rs 1360
Rs 1350
Rs 1440
Rs 1680
if x is the average bill 16x = 15*80 + x+75 15 x = 1275 x= 85 16x = 1360
Question 5
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Rs. 4991
Rs. 5991
Rs. 6001
Rs. 6991
Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009. Required sale = Rs. [ (6500 x 6) - 34009 ] = Rs. (39000 - 34009) = Rs. 4991
Question 6
The average of three numbers is 77. The first number is twice the second and the second number is twice the third. Find the first number.
33
66
77
132
Sum of the numbers =3×77=231 Let third number be x Then, second number =2x first number =4x x+2x+4x=231 ⇒x=33 First number =4x=132
Question 7
The average weight of a class of 34 students is 45 kg. If the weight of the teacher is included the average rises by 400 gm. The weight of the teacher is?
60
61
63
59
Total weight of the 34 students =34×45=1530 Total weight of the 34 students and the teacher =35×45.4=1589 Therefore, weight of the teacher =1589−1530=59 kg
Question 8
Average age of 10 elephants increases by 8 years when the 2 tortoises are included in place of 2 elephants of age 50 and 60. Find the average age of tortoises?
100
97
95
93
Let average age of 10 elephants =x Then, total age of 10 elephants =10x Let sum of the ages of the 2 tortoises =y From the problem, (10x−50−60+y)/10=x+8 x−5−6+y/10=x+8 −5−6+y/10=8 y/10=19 y=190 Average age of tortoises =190/2=95
Question 9
In an exam out of 1500 students, 80% boys and 70% girls are passed. If total pass percentage was 75%, how many boys appeared in the exam and how many boys failed?
150
160
170
180
Let number of boys =100x number of girls =1500−100x Passed boys ={100x)×80/100=80x Passed girls =(1500−100x)70/100 =1050−70x Total number of passed students =80x+1050−70x=1050+10x (1050+10x)/1500=75/100 (1050+10x)/1500=3/4 1050+10x=1125 10x=75 100x=750 Number of boys appeared in the exam =750 Number of boys failed =750×(20/100)=150
Question 10
Find the average and sum of all even numbers from 200 to 500?
300
350
320
330
Number of even numbers =(500−200)/2+1 =151 Sum =151/2(200+500)=52850 Average =1/2(200+500)=350
Question 11
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ?
0
-1
1
none of these
Average of 20 numbers = 0. Sum of 20 numbers = (0 * 20) = 0. It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (- a).
Question 12
The average of 7 consecutive numbers is 20. The largest of these numbers is :
21
22
23
24
Let the numbers be x, x + 1, x + 2, x + 3, x + 4, x + 5 and x + 6, Then (x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6)) / 7 = 20. or 7x + 21 = 140 or 7x = 119 or x =17. Latest number = x + 6 = 23.
Please login to report
Login/Signup to comment
please provide the solution to the above question.
please provide the solution to the above question.