SSC CGL Mains 20241)![]()
24 years
SSC CGL Mains 20242)The average of first 92 even numbers is
93
SSC CGL Mains 20243)8 kg of maize costing ₹51 per kg, is mixed with 9 kg of maize costing ₹68 per kg. The average per kg price of mixed maize is:
₹60
4)A is the average mark of a group of 10 students in a class and A + 8 is the average of a group of 15 students which includes the group of 10 students as given. The total marks obtained by the group of 10 students is X and the total marks obtained by the group of 15 students is Y. If X : Y = 3 : 5, then the value of A + X + Y is _________.
1992
5)What is the average speed of a man who travels between two cities, covering 60% of the distance in 45 minutes and the remaining distance in 55 minutes, where the total distance between the cities is 80 km?
48 kmph
6)A man purchased spirit for three consecutive years. In the first year, he purchased spirit at the rate of Rs. 5 per litre, in the second year, at the rate of Rs. 6.00 per litre and in the third year, at Rs. 7.50 per litre. If he purchased spirit worth Rs. 7,500 each year, the average price of spirit per litre for three years is.
Rs.6
7)The number of students in the three classes A, B and C is 10, 40 & 50. If the average marks scored per students in a exam of the three classes are A, B and C is 15, 20 & 45 respectively, then what is the average marks scored per students across all three classes collectively?
32
8)A man purchases milk for three consecutive years. In the first year, he purchases milk at the rate of Rs 7.50 per litre, in the second year, at the rate of Rs 8.00 per litre and in the third year, at Rs 8.50 per litre. If he purchases milk worth Rs 4080 each year, the average price of milk per litre for the three year is:
Rs.7.98
9)The ratio of the number of players on the three cricket teams A, B and C is 2 : 5 : 3. If the average number of runs scored per player for each of the three teams A, B and C is 30 : 17 : 25 respectively, then what is the average number of runs scored per player across all three teams collectively?
22
10)The average age of a cricket team of 11 players is the same as it was 3 years back because 3 players whose current average age of 33 years are replaced by 3 youngsters. The average age of the new comers is:
22 years
11)The batting average for 30 innings of a cricket player is 40 runs. His highest score exceeds his lowest score by 100 runs. If these two innings are not included, the average of the remaining 28 innings is 38 runs. The lowest score of the player is:
18
12)A cricketer whose bowling average is 24.85 runs per wicket, takes 5 wickets for 52 runs in the next inning and thereby decreases his average by 0.85. The number of wickets taken by him till the last match was:
85
13)If the average of m numbers is n2 and that of n numbers is m2, then average of (m + n) numbers is
mn
14)A bus moves with a speed of 30 kmph for 12 minutes and for next 8 minutes at a speed of 45 kmph. Find the average speed of the bus.
36 kmph
15)In a afternoon, a student drives 100 km at the speed of 60km per hour. Therafter he rides back at speed of 40km per hour. What is his average speed of driving in journey.
48
16)The average of the numbers a, b, c and d is 2d + 4. Also, the averages of the numbers a and b; b and c; c and d are 8, 5 and 4, respectively. If e = a + d - 1, then what is the average of the numbers d and e ?
7
17)The numbers 2, 3, 4 and 5 occur (2 + 5k), (5k - 7), (2k - 3) and (k + 2) times, respectively. The average of the numbers is 2.85. Later on, the number 2 was replaced by 6 in all the places. What is the average of the new numbers?
5.25
18)If average of 20 observations x1, x2, ............ x20 is y then the average of x1-101, x2-101, ............ x20-101 is
y - 101
19)The average of 330, 360 & 390 is
3297 + 359 + 389
20)The average of 5 consecutive integers starting with m is n. What is the average of 6 consecutive integers starting with (m + 2)?
\(2n + 5 \over 2\)
21)a, b, c, d, e, f, g are consecutive even numbers and j, k, l, m, n are consecutive odd numbers. The average of all the numbers is:
None of the above
22)In a 50 over cricket match, the average runs scored by a team for different sessions of the innings are given below. Find the average runs per over scored by the team in that innings.
First 10 overs - 8 runs per over
10 to 35 overs – 5 runs per over
Last 15 overs – 9 runs per over
6.8
SSC CGL 202223)The average age of six members of a family is 40 years. If the age of a guest is included, then the average age increases by 12.5%.What is the age (in years) of the guest?
75
SSC CGL 202224)The average age of a man and his son is 55 years. The ratio of their ages is 7 ∶ 4,respectively. What will be the ratio of their ages after 6 years?
38 : 23
SSC CGL 202225)The average of six numbers is 3.52. The average of two of them is 3.7, while the average of other two is 2.5. What is the average of the remaining two?
4.36
SSC CGL 202226)Ram, Shyam, Rohan, Reeta and Mukesh are five members of a family who are weighed consecutively and their average weight is calculated after each member is weighed. If the average weight increases by 2 kg each time, how much heavier is Mukesh than Ram?
16 kg
SSC CGL 202227)In nine innings of cricket, the average of a batsman is 58 runs. How many runs does he need to make in the tenth innings to get the average score 61?
88
SSC CGL 202228)The average of the marks of 25 students in a class, in an examination was calculated to be 19. Later, the teacher realized that the marks of two students were taken as 18 and 19 respectively, instead of 14 and 15. Find the new actual average marks of the class.
18.68
SSC CGL 202229)The batting average for 27 innings of a cricket player is 47 runs. His highest score in an innings exceeds his lowest score by 157 runs. If these two innings are excluded, the average score of the remaining 25 innings is 42 runs. Find his highest score in an innings.
188
SSC CGL 202230)In the month of March, Dalip earned on an average Rs. 501 per day. For the first 18 days, his average earning was Rs. 495 and, for the last 15 days, his average earning was Rs. 505. On 18th March, he earned Rs. 50 more than that earned on 17th March. How much (in Rs.) did he earn on 18th March?
502
SSC CGL 202231)Ras Bihari, a plumber, earned on an average ₹925 per day in the month of January. He earned on an average ₹881 per day during the first 20 days and ₹915 per day during the last 20 days. What was his average income (in ₹) per day from 12th January to 20th January?
805
SSC CGL 202232)Three positive numbers are in the ratio 2 ∶ 3 ∶ 4. The sum of their squares is 2349. The average of the first two numbers is:
22.5
SSC CGL 202233)While preparing the results of English of a class, the marks of one student got recorded as 95 in place of 57, as a result of which there was an increase in the average score by 0.95. How many students were there in the class?
40
SSC CGL 202234)What is the average of the first six prime numbers?
\(6{5\over6}\)
SSC CGL 202235)The average of eleven consecutive positive integers is d. If the last two numbers are excluded, by how much will the average increase or decrease?
Will decrease by 1
SSC CGL 202236)Ram travelled from a place Z to P at an average speed of 130 km/h. He travelled the first 75% of the distance in two-third of the time and the rest at an average speed of X km/h. The value of \(\frac{x}{2}\) is:
48.75
SSC CGL 202237)The average of twelve numbers is 42. The average of the last five numbers is 40, and that of the first four numbers is 44. The sixth number is 6 less than the fifth number and 5 less than the seventh number. The average of the sixth and seventh numbers is:
41.5
SSC CGL 202238)The average of three numbers is 15. The average of the second and the third number is 12.5. What is the first number?
20
SSC CGL 202239)Of the three numbers, second is one-third of first and is also three-fourth of the third number. If the average of three numbers is 112, then what is the smallest number?
63
SSC CGL 202240)A invested 30% more than B. B invested 40% less than C, who invested Rs. 8,000. The average of the total amount invested by all of them together (to the nearest Rs.) is:
6,347
SSC CGL 202241)The average of 46 numbers is 50.5. The average of the first 25 numbers is 45 and that of the last 18 numbers is 56. The 28th number is 67. If the 26th and 27th numbers are excluded, then what is the average of the remaining numbers?
50
SSC CGL 202242)The average of sixteen numbers is 48. The average of the first six of these numbers is 45 and that of the last seven numbers is 53. The seventh and the eighth numbers are, respectively, 3 and 7 greater than the ninth number. What is the average of the ninth and seventh numbers?
40.5
SSC CGL 202243)The average of five numbers is 30. If one number is excluded, then average becomes 31. What is the excluded number?
26
SSC CGL 202244)The average of 15 numbers is 30, while the average of 13 of these numbers is 32. If the remaining two numbers are equal, then what is each of the two numbers?
17
SSC CGL 202245)What is the average of all the prime numbers between 70 and 90?
79
SSC CGL 202246)The average of 9 consecutive numbers is 20. The smallest of these numbers is:
16
SSC CGL 202247)The average of 52, 71, 43, 22, a, and b is 55 and the average of 42, 45, 49, 51, 42, c, and d is 53. What is the average of a, b, c, and d?
71
SSC CGL 202248)In the first 10 overs of a cricket game, the run rate was only 7.2. What should be the average run rate in the remaining 40 overs to reach the target of 272 runs?
5
SSC CGL 202249)The average weight of P and his three friends is 55 kg. If P is 4 kg more than the average weight of his three friends, what is P's weight (in kg)?
58
SSC CPO 202050)The average age of 40 students of a class is 16 years. After admission of 10 new students to the class, the average becomes 15 years. If the average age of 5 of the new students is 11 years, then the average age (in years) of the remaining 5 new students is:
11
SSC CPO 202051)The average of twelve numbers is 39. The average of the last five numbers is 35, and that of the first four numbers is 40. The fifth number is 6 less than the sixth number and 5 more than the seventh number. The average of the sixth and seventh numbers is:
44.5
SSC CPO 202052)The average weight of A, B and C is 65 kg. If the average weight of C and B is 61.5 kg, and the average weight of A and C is 68.5 kg, then the weight of C (in kg) is:
65
SSC CPO 202053)The average temperature for Monday, Wednesday and Friday was 41°C. The average for Wednesday, Friday and Thursday was 42°C. If the temperature on Thursday was 43°C, then the temperature on Monday was:
40°C
SSC CPO 202054)If the average price of three chairs is Rs. 14,014 and their prices are in the ratio of 3 : 4 : 7, then the highest price (in Rs.) of chair is:
21,021
SSC CPO 202055)The average weight of a group of 3 people A, B and C is 70 kg. When D joins this group, the average becomes 60 kg. E's weight is 5 kg more than that of D, replaces A and the average weight of B, C, D, and E now becomes 59 kg. What is the average weight (in kg) of A, D and E? (Correct to the nearest integer)
35
SSC CPO 202056)If A is \(\frac 1 6\) of C, and B is twice of A, and the average of A, B and C is 30, then the difference between A and C is:
50
SSC CPO 202057)The average weight of a group of 3 people A, B and C is 70 kg. When D joins this group, the average becomes 60 kg, One man E, whose weight is 5 kg more than that of D, replaces A and the average weight of B, C, D, and E now becomes 59 kg. A's weight (in kg) is:
39
SSC CPO 202058)The average of twelve numbers is 39. The average of the last five numbers is 35, and that of the first four numbers is 40. The fifth number is 6 less than the sixth number and 5 more than the seventh number. The average of the fifth and sixth numbers is:
47
SSC CPO 202059)The average weight of A, B and C is 65 kg. If the average weight of A and B is 63.5 kg, and the average weight of A and C is 67.5 kg, then the weight of A (in kg) is:
67
SSC Selection Post Matric 202260)The average of 15 numbers is 30, while the average of 13 of these numbers is 32. If the remaining two numbers are equal, then what is each of the two numbers?
17
SSC Selection Post Matric 202261)What is the average of the first 8 multiples of 8?
36
SSC Selection Post Matric 202262)The average of the first three numbers out of four numbers is 18 and that of the last three numbers is 20. If the last number is 25, what is the first number?
19
SSC Selection Post Matric 202263)What is the average of prime numbers lying between 7 and 37?
\(20\frac{3}{7}\)
SSC Selection Post Matric 202264)The average of 9 consecutive numbers is 20. The smallest of these numbers is:
16
SSC Selection Post Matric 202265)The average weight of some children in a group was 42 kg. When 5 children of average weight 48 kg join the group or 5 children of average weight 37 kg leave the group, the average weight of children in both cases remains equal. How many children were there in the group initially?
55
SSC Selection Post Matric 202266)The average of x occurring 5 times and y occurring 7 times is 37. Also, the average of x occurring 7 times and y occurring 5 times is 35. The value of \(\frac{x}{6}\) is:
5
SSC Selection Post Matric 202267)The average weight of a certain number of children in a group was 37 kg. If 12 children of average weight 38.5 kg joined the group, then the average weight of all the children increased by 0.45 kg. The number of children, initially, in the group was:
28
SSC Selection Post Matric 202268)A library has an average of 219 visitors on Saturdays and an average of 281 on other weekdays. The average number of visitors per day in a month of 31 days, beginning with a Friday, is:
271
SSC Selection Post Matric 202269)In an examination, the average score of a student was 77.6. If he would have got 27 more marks in mathematics, 10 more marks in computer science, 13 more marks in history, and retained the same marks in the other subjects, then his average score would have been 82.6. How many subjects were there in the examination?
10
SSC Selection Post Matric 202270)A post office received 54 parcels with an average weight of 125g. The average weight of 52 parcels is 125.5g. Among the remaining two parcels, one weighs one-third of the other. What is the difference between the weights (in g) of these two parcels?
112
SSC Selection Post Matric 202271)The average of eleven consecutive positive integers in increasing order is 251. If the next four odd numbers are included, then what is the average of all the numbers?
253.4
SSC Selection Post Matric 202272)The average of some numbers is 36. If each of \(\frac{3}{4}\) of the numbers is increased by 8, and each of the remaining numbers is decreased by 10, then the average of the numbers, so obtained, is:
39.5
SSC Selection Post Matric 202273)The average of three positive numbers is x . When the average of any two of them is added to the third number, the sums obtained are 39, 45 and 48. What is the value of x ?
22
SSC Selection Post Matric 202274)There are 88 students in a class. The ratio of the number of girls and boys is 5 : 3. If the average weight of boys is 79.3 kg and that of girls 65.4 kg, then the average weight (in kg) of all the students in the class is:
(Correct to one decimal place)
70.6
SSC Selection Post Matric 202275)The average weight of 54 members of a club is 67.5 kg. If 6 members of average weight 72.5 kg leave and 2 new members of average weight 62.5 kg join the club, then the average weight (in kg) of the present members of the club is:
66.7
SSC Selection Post Matric 202276)Eight years ago, the average age of A, B and C was 22 years. The average age of A and C after 2 years from now will be 32.5 years. What will be the age (in years) of B after 3 years from now?
32
SSC Selection Post Matric 202277)The average of six consecutive odd numbers, in increasing order, is 42. If the next five consecutive odd numbers are included, then what is the average of all the numbers?
47
SSC Selection Post Matric 202278)If the average of 20, 25,(p + 1), (2p + 5) and (p + 11) is 22, then the value of p is :
12
SSC Selection Post Matric 202279)In an examination, the average marks of a student per paper were 72. If he had got 25 less marks in Mathematics and 17 more marks in Science, his average marks per paper would have been 71. How many papers were there in the examinaion?
8
SSC Selection Post Matric 202280)In a class of 60 students (boys and girls), there are 60% girls. In an examination, the average score of the boys is 52 and that of the girls is 65. What is the average score of the whole class?
59.8
SSC Selection Post Matric 202281)A museum has an average of 340 visitors on Sunday and 160 on other days. What is the average number of visitors per day in the month of June beginning with Sunday?
190
SSC Selection Post Matric 202282)The average weight of 18 boxes in a boat is increased by 2.5 kg when one of the boxes weighing 75 kg is replaced by a new box. The weight (in kg) of the new box is:
120
SSC Selection Post Matric 202283)The average weight of a class of 20 students is 44 kg. A new student joins the class and the average weight decreases by 300 gm. What is the weight of the new student (in kg)?
37.7
SSC Selection Post Matric 202284)There are five numbers whose average is 72. If the first number is one-fifth of the sum of the other four numbers, then the first number is:
60
SSC Selection Post Matric 202285)The average of the numbers 52, 87, k, 103, 48, (k+4), 51 is 63. What is the value of k?
48
SSC Selection Post Matric 202286)The average height of 20 students of Class 9 is 147 cm and the average height of 15 students of Class 10 is 154 cm. What is the average height (in cm) of the students of the two Classes?
150
SSC CHSL 202187)The average age of 7 members of a family is 35 years. If the youngest members are twins and they are 15 years old, then what was the average age (in years) of the family members at the time of the birth of the twins?
28
SSC CHSL 202188)The average of 40 numbers is 48.2. The average of the first 15 numbers is 45 and that of the next 22 numbers is 50.5. The 38th number is 1 more than the 39th number, and the 39th number is 3 less than the 40th number. What is the average of the 39th and 40th numbers?
47.5
SSC CHSL 202189)Pawan travels from X to Y at the speed of 10 km/h, from Y to Z at 15 km/h and from Z to W at 20 km/h. If XY = YZ = ZW (in km), then the average speed of Pawan for the whole journey is:
\(13\frac{11}{13}\) km/h
SSC CHSL 202190)The average age of 35 persons is 40 years. 5 new persons with an average age of 35 years joined them. The average age of all the persons is:
\(39\frac{3}{8}\) years
SSC CHSL 202191)A. B and C are three positive numbers such that the average of three-fifth of A and 30% of B is 13.5, and the average of \(\frac{3}{8}\) times of B and 25% of C is 15. If A is equal to \(\frac{5}{12}\) times of C, then the sum of all three numbers A, B and C is:
110
SSC CHSL 202192)A batsman in his 13th inning makes a score of 97 runs, thereby increasing his average score by 5. What is his average score after the 13th inning?
37
SSC CHSL 202193)In a class of 80 students (boys and girls) there are 60% girls. The average weight of the boys is 58 kg and that of the girls is 52 kg. What is the average weight (in kg) of the whole class?
54.4
SSC CHSL 202194)x, y and z are three positive numbers such that y is \(4\over5\) times of x and z is \(5\over8\) times of y. If the average of reciprocals of the numbers x, y and z is \( \frac{17}{240}\), then the average of 3 times of x and 5 times of y will be:
70
SSC CHSL 202195)There are 3 groups of persons - male, female and children. There are 20 males and the number of females and children taken together is 4 more than that of the males. The average weight of males is 54 kg, that of females is 49 kg and that of children is 30 kg. If the average weight of the whole group is 48.25 kg, then what is the difference between the number of females and the number of children?
10
SSC CHSL 202196)The average of 29 number is 38. The average of the first 19 numbers is 34 and that of the last 9 numbers is 48. The 20th number is.
24
SSC CHSL 202197)The average of 42 numbers is 37. The average of the first 26 numbers is 32, and the average of the last 17 numbers is 44. The 26th number is:
26
SSC CHSL 202198)The average of the squares of four consecutive odd natural numbers is 201. The average of 7 times of the largest number and 3 times of the smallest number is:
76
SSC CHSL 202199)There are 90 students in a hostel. Due to new admissions, 30 new students join the mess and the daily expenses of the mess increases by Rs. 560. while the average expenditure per head diminishes by Rs. 10, What was the original daily expenditure (in Rs.) of the mess?
5,280
SSC CHSL 2021100)The average weight of 3 persons A, B and C is 60 kg. When D joins the group, the average weight becomes 65 kg. When another person E whose weight is 3 kg less than that of D replaces A, the average weight of B, C, D and E becomes 67 kg. What is the weight of A?
69 kg
SSC CHSL 2021101)The numbers 2, 3, 4 and 5 occur (2 + 5k), (5k - 7), (2k - 3) and (k + 2) times, respectively. The average of the numbers is 2.85. Later on, the number 2 was replaced by 6 in all the places. What is the average of the new numbers?
5.25
SSC CHSL 2021102)The average of eighteen numbers is 42. The average of the last ten numbers is 40 and that of the first five numbers is 44. The seventh number is 6 less than the sixth and 7 less than the eight number. The average of the sixth and the eight number is:
47.5
SSC CHSL 2021103)The average height of a certain number of students in a group is 155.6 cm. If 12 students having an average height of 150.5 cm join the group and 7 students having an average height of 159 cm leave the group, the average height of the students in the group will decrease by 34 mm. What is the number of students, initially, in the group?
20
SSC CHSL 2021104)The average of 19 numbers is 48. The average of the first 7 numbers is 50.6 and that of the last 13 numbers is 47.6. If the 7th number is excluded, then what is the average of the remaining numbers (correct to one decimal place)?
47.3
SSC CHSL 2021105)The average daily income of Shyam Lal during the month of February 2020 was Rs. 560. The average income for the first 16 days was Rs. 590 and for the last 16 days it was Rs. 500. What was his average income for 14th, 15th and 16th February?
Rs. 400
SSC CHSL 2021106)One-fifth of a journey is covered at a speed of 30 km/h, one-fourth of the journey at a speed of 25 km/h and the rest at 60 km/h. What is the average speed (in km/h, correct to one decimal place) for the whole journey?
38.7
SSC CHSL 2021107)The average of 5 numbers is 26.4. The first number is one-fifth of the sum of the remaining 4 numbers. What is the first number?
22
SSC CHSL 2021108)The average marks obtained by 150 students in a certain examination is 50. If the average marks of the passed students are 54 and that of the students who failed are 30, then what will be the number of the students who failed?
25
SSC CHSL 2021109)The average weight of some students in a group is 58 kg. If 8 students of average weight 54 kg leave the group, and 3 students weighing 53.6 kg, 54 kg and 57.4 kg join the group, then the average weight of the remaining students in the group will increase by 575 g. The number of students, initially, in the group is
45
SSC CHSL 2021110)The average score of 84 students (boys and girls) in a test is 95. The ratio of the number of boys to that of girls is 10 : 11. The average score of the boys is 20% less than that of the girls. What is the average score of the boys in the test?
84
SSC CHSL 2021111)If the average of the 3 digit numbers 335, 2x5, x35, 63x and 406 is 411, then what will be the average of x - 1, x - 3, x + 3 and x + 5 ?
5
SSC CHSL 2021112)The average weight of some students in a class was 69.5 kg. When 10 students of average weight 68 kg joined the class, and 6 students of average weight 60 kg left the class, it was noted that the average weight of the new group of students increased by 2 kg. How many students are there in the class now?
21
SSC CHSL 2021113)The average of the squares of four consecutive even natural numbers is 126. The average of 8 times of the greatest number and 5 times of the smallest number is:
76
SSC CHSL 2021114)The average monthly expenditure of a man is Rs.2400 during the first three month, Rs 3,500 during the next five months and Rs 4,800 for the remaining four months. If his total saving is Rs.3,500 during the entire year. then what is his average monthly income (in Rs)?
3,950
SSC CHSL 2021115)The average weight of some persons in a group is 72 kg. When 5 persons with average weight 66.6 kg join and 13 persons with average weight 75 kg leave the group, the average weight of the persons in the group decreases by 1.65 kg. How many persons were there in the group initially?
48
SSC CHSL 2021116)The average of the numbers a, b, c and d is 2d + 4. Also, the averages of the numbers a and b; b and c; c and d are 8, 5 and 4, respectively. If e = a + d - 1, then what is the average of the numbers d and e ?
7
(a+b+c+d) = 4(2d + 4)...(i)
a + b = 16, b + c = 10, c + d = 8
By substituting value of a + b and c + d in eqn..(i), we get d = 1;
Now again substituting the value of b + c and d in eqn ... (i), we get a = 13
e = a + d - 1, thus e = 13
(e+d)/2 = (13 + 1)/2 = 7
SSC CHSL 2021117)The average age of 125 students in a group is 16.2 years. 40% of the students are boys and the rest are girls. The average age of the boys is 20% more than the average age of the girls. What is the average age (in years) of the boys?
18
SSC CHSL 2021118)The average number of electronic items sold by a trader in 2004, 2005, 2006 and 2007 is 18950 and that sold in 2005, 2006, 2007 and 2008 is 21725. If the number of items sold in 2008 is 12750, then the number of items sold in 2004 is:
1650
SSC CHSL 2021119)The average monthly expenditure of a family was Rs.18,600 during the first three months, Rs.21,750 during the next four months, and Rs.22,840 during the last five months of a year. If the total savings during the year was Rs.1,43,020, then the average monthly income (in Rs.) of the family was:
33,335
SSC CHSL 2021120)30 people went to a restaurant for a dinner party, 20 of them paid Rs.880 each and each of the rest of them paid Rs.110 more than the average of the total expenses. What was the total expense (in Rs.) for the dinner?
28,050
SSC CHSL 2021121)The average weight of 30 persons of group A is 3 kg more than the average weight of 25 persons of group B. The average weight of 25 persons of group B is 2.5 kg more than the average weight of 20 persons of group C. If the total weight of 30 persons of group A is 1725 kg, then what will be the average weight of the persons of group A and group C taken together (in kg)?
55.3
SSC CGL 2020122)The average of 24 numbers is 56. The average of the first 10 numbers is 71.7 and that of the next 11 numbers is 42. The next three numbers i.e. 22nd, 23rd and 24th are in the ratio, \({1\over2}:{1\over3}:{5\over12}\) . What is the average of the 22nd and 24th numbers?
60.5
22nd number : 23rd number : 24th number = \({1\over2}:{1\over3}:{5\over12}\) = 6 : 4 : 5
According to the question, \(10\times 71.7+11\times 42+6k+4k+5k= 24\times 56\) ; ⇒ k = 11 ;
Required average = \({6k+5k\over2}= {11\times11\over2}= 60.5\)
SSC CGL 2020123)The average of some numbers is 54.6. If 75% of the numbers are increased by 5.6 each, and the rest are decreased by 8.4 each, then what is the average of the numbers so obtained?
56.7
New average of the numbers = (average + increment/decrements);
The average of some numbers = 54.6;
75% of the numbers are increased by 5.6 each, and the rest are decreased by 8.4 each so,
New average of the numbers = \(54.6 +\) \((5.6 \times 75/100 - 8.4 \times 25/100)\) = 54.6 + 4.2 - 2.1 = 56.7
SSC CGL 2016124)The average of marks of 17 students in an examination was calculated as 71. But it was later found that the mark of one student had been wrongly entered as 65 instead of 56 and another as 24 instead of 50. The correct average is
72
SSC CGL 2020125)The average height of 5 boys is 175 cm. A sixth boy joined the group and the average height of all the boys in the group now increased by 1 cm. The height of the sixth boy is:
181 cm
Height of sixth boy = 175 cm + total increase = (175 + 1 x 6) = 181 cm
SSC CGL 2020126)The average of the marks of 30 boys is 88, and when the top two scores were excluded, the average marks reduced to 87.5. If the top two scores differ by 2, then the highest mark is:
96
Average marks of 30 students = 88; Let top two marks be x and x + 2. According to the question, \(30\times88-x-(x+2)=28\times87.5\); x= 94; So highest marks = x + 2 = 94 + 2 = 96
SSC CGL 2020127)24 students collected money for donation. The average contribution was Rs. 50. Later on, their teacher also contributed some money. Now the average contribution is Rs. 56. The teacher’s contribution is:
Rs. 200
Total money contribution by 24 students = Average x No. of students = 50 x 24 = 1200; Total money contribution by 24 students and their teacher = 56 x 25 = 1400 ; Teacher’s contribution = 1400 - 1200 = Rs.200
SSC CGL 2020128)The average of 60 student’s results is 38. If the average of the first 22 students is 36, and that of the last 32 students is 32, then the average result of the remaining students is:
77.33
Average of results of 60 students = 38; Total of results of 60 students = 60 x 38 = 2280; Average of results of 22 students = 36; Total of results of 22 students = 36 x 22 = 792; Average of results of 32 students = 32; Total of results of 32 students = 32 x 32 = 1024; Sum of results of the remaining 6 students = 2280 - 792 - 1024 = 464; Required average = \({464\over6} = 77.33\)
SSC CGL 2020129)The average of five consecutive odd numbers is m. If the next three odd numbers are also included, then what is the increase in the average ?
3
Let five odd numbers be (x - 4), (x - 2), x, (x + 2), (x + 4) ; Average = \((x - 4)+ (x - 2)+ x+ (x + 2)+ (x + 4)\over5\) = m; x = m; Therefore, Sum of 5 number = 5m; New average = (Sum of 5 number + Sum of 3 number) / 8; ⇒ \({5m+m+6+m+8+m+10\over8} ={8m+24\over8}=m+3\);
SSC CGL 2020130)The average score in Mathematics of 90 students of sections A and B together is 49. The number of students in A was 25% more than that of B, and the average score of the students in B was 20% higher than that of the students in A. What is the average score of the students in section A?
45
Let no. of students in section B = x ; A = 1.25x; then x + 1.25x = 90; therefore' x = 40;
Let average of score of section A be y and B be 1.2y;
then 50y + (1.2y x 40) = 90 x 49; y = 45
SSC CGL 2020131)In a class, the average score of thirty students on a test is 69. Later on it was found that the score of one student was wrongly read as 88 instead of 58. The actual average score is:
68
When data read wrongly then total score of thirty students on a test = 69 X 30 = 2070; (Average = sum of all terms/number of terms)
Difference in data = 88 - 58 = 30;
Actual score = 2070 - 30 = 2040;
Actual average score = 2040/30 = 68
SSC CGL 2020132)The average of four terms is 30 and the Ist term is \(\frac{1}{3}rd\) of the sum of the remaining terms. What is the first term?
30
Average of 4 numbers = 30; Sum of these numbers = 30 x 4 = 120; let Ist number is x.
so x = \(\frac{1}{3}(120-x)\); x = 30
SSC CGL 2019133)The average of 33 numbers is 74. The average of the first 17 numbers is 72.8 and that of the last 17 numbers is 77.2. If the 17th number is excluded, then what will be the average of the remaining numbers (correct to one decimal place)?
72.9
SSC CGL 2019134)The average weight of a certain number of students in a group is 72 kg. If 10 students having an average weight of 78 kg leave and 4 students having an average weight of 80 kg join the group, the average weight of the students in the group decreases by 0.7 kg, The number of students initially in the group is:
46
SSC CGL 2019135)The average of 18 numbers is 37.5. If six numbers of average X are added to them, then the average of all the numbers increases by one, The value of x is:
41.5
SSC CGL 2019136)The average age of 120 students in a group is 13.56 years. 35% of the number of students are girls and the rest are boys. If the ratio of the average age of boys and girls is 6 : 5, then what is the average age (in years) of the girls?
12
Sum of age of 120 students in a group whos average age is 13.56 = 120 × 13.56 = 1627.2
Number of girls in the group = 120 × (35/100) = 42
Number of boys in the group = 120 – 42 = 78
Let the average of boys and girls are 6x and 5x respectively.
According to the question
78 × 6x + 42 × 5x = 1627.2
⇒ x = 2.4
SSC CGL 2019137)The number of students in a class is 75, out of which 33\({1 \over 3}\)% are boys and the rest are girls. The average score in mathematics of the boys is 66\({2 \over 3}\)% more than that of the girls. If the average score of the all students is 66, then the average score of the girls is :
54
The number of students in a class = 75;
Number of boys =\( 33\frac{1}{3}\% \)of the total boys = 75/3 = 25;
Number of girls = 75 - 25 = 50;
Let the average score of girls be x.
Total score of girls = 50x;
Average score of boys = x + 2x/3 = 5x/3;
Total score of boys = \(25 \times \frac{5x}{3};\)
Average score of all the students = 66;
\(\frac{50x + 125x/3}{75}\) = 66;
\(\frac{150x + 125x}{75 \times 3}\) = 66;
x = 14850/275 = 54
SSC CGL 2019138)The average of thirteen numbers is 47. The average of the first three numbers is 39 and that of next seven numbers is 49. The 11th number is two times the 12th number and 12th number is 3 less than the 13th number. What is the average of 11th and 13th number?
57
Sum of thirteen numbers = 611
Sum of the first three numbers = 117
Sum of the next seven numbers = 343
let the 12 th number be 'x'
then
11th number = 2x
13th number = x + 3
Sum of the first three numbers + Sum of the next seven numbers + 11th number + 12th number + 13th number = 611
117+343+2x+x+x+3=611
x =37
average of 2x and x+3 = 57
SSC CGL 2020139)The average age of A, B, and C is 20 years, and that of B and C is 25 years. What is the age of A ?
10 years
Average age of A, B and C = 20 years Total age of A, B and C = 60 years
Average age of B and C = 25 years total age of B and C = 50 years
A's age = 60 - 50 = 10 years