Download SSC CGL Average Problems questions with answers PDF based on previous papers very useful for SSC CGL exams. 20 Very important Average Problems on objective questions (MCQ’s) for SSC exams.<\/p>\n
Download Average Problems For SSC CGL<\/a><\/p>\n 25 SSC CGL Mocks – Just Rs. 149<\/a><\/p>\n FREE SSC EXAM YOUTUBE VIDEOS<\/a><\/p>\n Question 1:\u00a0<\/b>Three numbers A, B and C are such that A is one-fourth of B which is double of C. If the average of all three numbers is 21, then find the smallest number.<\/p>\n a)\u00a012<\/p>\n b)\u00a09<\/p>\n c)\u00a011<\/p>\n d)\u00a07<\/p>\n Question 2:\u00a0<\/b>The average age of a class of 25 students is 24 years. If the teacher\u2019s age is also included, then the average age is 26 years. Find the age of the teacher.<\/p>\n a)\u00a084 years<\/p>\n b)\u00a062 years<\/p>\n c)\u00a076 years<\/p>\n d)\u00a072 years<\/p>\n Question 3:\u00a0<\/b>Three numbers A, B and C are such that A is three-fourths of B which is half of C. If the average of all three is 30, then find the value of B.<\/p>\n a)\u00a024<\/p>\n b)\u00a020<\/p>\n c)\u00a028<\/p>\n d)\u00a016<\/p>\n Question 4:\u00a0<\/b>The average ages of 3 children born at intervals of 3 years is 12 years. What is the age of the youngest child?<\/p>\n a)\u00a06 years<\/p>\n b)\u00a09 years<\/p>\n c)\u00a010 years<\/p>\n d)\u00a04 years<\/p>\n Question 5:\u00a0<\/b>The average of 5 consecutive even numbers is 16. Then find the smallest number.<\/p>\n a)\u00a012<\/p>\n b)\u00a08<\/p>\n c)\u00a016<\/p>\n d)\u00a022<\/p>\n SSC CGL Previous Papers Download PDF<\/a><\/p>\n SSC CHSL PREVIOUS PAPERS DOWNLOAD<\/a><\/p>\n Question 6:\u00a0<\/b>The average of a class of 25 students is 15 years. If teacher\u2019s age is also included, then average age increased by 1. Then, find the age of teacher.<\/p>\n a)\u00a042 years<\/p>\n b)\u00a063 years<\/p>\n c)\u00a041 years<\/p>\n d)\u00a039 years<\/p>\n Question 7:\u00a0<\/b>A student\u2019s marks were wrongly entered as 32 instead of 23. Due to that, the average marks of the class is increased by half. Then find the number of students.<\/p>\n a)\u00a019<\/p>\n b)\u00a022<\/p>\n c)\u00a018<\/p>\n d)\u00a023<\/p>\n Question 8:\u00a0<\/b>A student\u2019s marks were wrongly entered as 52 instead of 25. Due to that, the average marks of the class is increased by 1. Then find the number of students.<\/p>\n a)\u00a029<\/p>\n b)\u00a027<\/p>\n c)\u00a024<\/p>\n d)\u00a023<\/p>\n Question 9:\u00a0<\/b>A library gets an average of 400 visitors on Sundays and 160 visitors on remaining days. If the month has 30 days starting with Sunday, then find the average number of visitors per day.<\/p>\n a)\u00a0300<\/p>\n b)\u00a0200<\/p>\n c)\u00a0250<\/p>\n d)\u00a0280<\/p>\n Question 10:\u00a0<\/b>A movie theatre gets an average of 400 visitors on Sundays and 250 visitors on other days. Then find the average visitors per day if the month has 30 days starting with Sunday.<\/p>\n a)\u00a0275<\/p>\n b)\u00a0225<\/p>\n c)\u00a0350<\/p>\n d)\u00a0375<\/p>\n 18000+ Questions – Free SSC Study Material<\/a><\/p>\n Question 11:\u00a0<\/b>The average age of a class of 40 students is 28 years. If the average of all 20 boys is 22 years, then find the average age of girls.<\/p>\n a)\u00a036 years<\/p>\n b)\u00a028 years<\/p>\n c)\u00a034 years<\/p>\n d)\u00a022 years<\/p>\n Question 12:\u00a0<\/b>The average weight of 25 boys of a class is 48 kg. The average weight of 20 girls of the same class is 44 kg. Then find the average weight of whole class.<\/p>\n a)\u00a045.2 kg<\/p>\n b)\u00a046.2 kg<\/p>\n c)\u00a048.2 kg<\/p>\n d)\u00a050.2 kg<\/p>\n Question 13:\u00a0<\/b>The average age of A, B and C 3 years ago is 28 years. The average age of A and B 6 years ago is 24 years. Then find the present age of C.<\/p>\n a)\u00a033 years<\/p>\n b)\u00a029 years<\/p>\n c)\u00a019 years<\/p>\n d)\u00a025 years<\/p>\n Question 14:\u00a0<\/b>The average age of a husband, a wife and their son 3 years ago is 38 years. The average age of the husband and the wife 5 years ago is 42 years. Then, find the present age of the son.<\/p>\n a)\u00a027 years<\/p>\n b)\u00a034 years<\/p>\n c)\u00a019 years<\/p>\n d)\u00a029 years<\/p>\n Question 15:\u00a0<\/b>The average salary of A and B is Rs.48000. The average salary of B and C is Rs.42000. The average salary of A and C is Rs.38000. Then find the salary of A.<\/p>\n a)\u00a0Rs.38000<\/p>\n b)\u00a0Rs.52000<\/p>\n c)\u00a0Rs.44000<\/p>\n d)\u00a0Rs.68000<\/p>\n SSC CGL Free Mock Test<\/a><\/p>\n SSC CHSL Free Mock Test<\/a><\/p>\n Question 16:\u00a0<\/b>The average of 15 numbers is zero. Then, at most how many numbers will be greater than zero?<\/p>\n a)\u00a014<\/p>\n b)\u00a019<\/p>\n c)\u00a020<\/p>\n d)\u00a00<\/p>\n Question 17:\u00a0<\/b>The average salary of P and Q is Rs.24000. The average salary of Q and R is Rs.35000. The average salary of P and R is Rs.16000. Then find the salary of Q.<\/p>\n a)\u00a0Rs.49000<\/p>\n b)\u00a0Rs.53000<\/p>\n c)\u00a0Rs.61000<\/p>\n d)\u00a0Rs.43000<\/p>\n Question 18:\u00a0<\/b>The average of 20 numbers is zero. Then at most how many numbers will be greater than zero?<\/p>\n a)\u00a014<\/p>\n b)\u00a019<\/p>\n c)\u00a020<\/p>\n d)\u00a00<\/p>\n Question 19:\u00a0<\/b>A cricketer scored 156, 124, 52, 68 in his first 4 matches. How much should he score in his 5th match so that he would get an average of 96 runs.<\/p>\n a)\u00a080<\/p>\n b)\u00a074<\/p>\n c)\u00a0124<\/p>\n d)\u00a0142<\/p>\n Question 20:\u00a0<\/b>A cricketer scored 48, 62, 52, 34, 26 in first five matches. How much should he score in the next match so that he would get an average of 54?<\/p>\n a)\u00a082<\/p>\n b)\u00a0102<\/p>\n c)\u00a096<\/p>\n d)\u00a074<\/p>\n 1500+ Free SSC Questions & Answers<\/a><\/p>\n Answers & Solutions:<\/strong><\/span><\/p>\n 1)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Let C be 2x. 2)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Let the sum of the ages of children be A years. 3)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Let C be 8x. \u21d2 $15x = 90$. 4)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Let the age of the youngest child be x years. \u21d2 $3x+9 = 36$ 5)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Let the smallest number be x. \u21d2 5x+20 = 80 100+ Free GK Tests for SSC Exams<\/a><\/p>\n Download Free GK PDF<\/a><\/p>\n 6)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Total age of 25 students = 25*15 = 375 years 7)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Let the total marks of students be \u2018S\u2019. $\\frac{S-23+32}{n} = \\frac{S}{n}+\\frac{1}{2}$<\/p>\n => $\\frac{S+9}{n} = \\frac{S}{n}+\\frac{1}{2}$<\/p>\n => $\\frac{S+9}{n} = \\frac{2S+n}{2n}$<\/p>\n => $2S+18 = 2S+n$ 8)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Let the total marks of students be \u2018S\u2019. $\\frac{S-25+52}{n} = \\frac{S}{n}+1$<\/p>\n => $\\frac{S+27}{n} = \\frac{S}{n}+1$<\/p>\n => $\\frac{S+27}{n} = \\frac{S+n}{n}$<\/p>\n => $S+27 = S+n$ 9)\u00a0Answer\u00a0(B)<\/strong><\/p>\n If a month starts with Sunday, then it will have 5 Sundays. 10)\u00a0Answer\u00a0(A)<\/strong><\/p>\n If a month starts with Sunday, then it will have 5 Sundays. 11)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Total weight of 40 students = 40*28 = 1120 kg 12)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Total weight of 25 boys = 25*48 = 1200 kg 15000 Questions – Free SSC Study Material<\/a><\/p>\n 13)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Total age of A,B and C 3 years ago = 28*3 = 84 years \u21d2 60+C = 93 14)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Let the ages of husband, wife and son be \u2018H\u2019,\u2019W\u2019,\u2019S\u2019 years respectively. Total age of husband and wife 5 years ago is 84 15)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Total salary of A and B: 16)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Given that the average of 15 numbers is zero. 17)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Total salary of P and Q = 24000*2 = Rs.48000 P+Q = 48000 \u2192 (1) 18)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Given that the average of 20 numbers is zero. 19)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Total score he should get in 5 matches = 96*5 = 480 runs. 20)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Total score he should get in 6 matches = 54*6 = 324 runs
\nthen B = 2*2x = 4x.
\nThen, A = x.
\nGiven, $\\dfrac{2x+4x+x}{3} = 21$
\n\u21d2 $7x = 63$
\n\u21d2 $x = 9$
\nHence, Smallest number = x = 9<\/p>\n
\nGiven, $\\dfrac{A}{25} = 24$
\n\u21d2 $A = 600$
\nLet the age of the teacher be T years.
\nGiven, $\\dfrac{A+T}{26} = 26$
\n\u21d2 $A+T = 676$
\nSubstituting A = 600 in above equation.
\n\u21d2 T = 76
\nHence, Age of the teacher = 76 years<\/p>\n
\nThen, B will be 4x.
\nA will be 3x.
\nGiven, $\\dfrac{8x+4x+3x}{3} = 30$<\/p>\n
\n\u21d2 x = 6
\nHence, B = 4x = 4*6 = 24<\/p>\n
\nThen, Ages of children born at intervals of 3 years will be x, x+3 and x+6 years.
\nGiven, $\\dfrac{x+x+3+x+6}{3} = 12$<\/p>\n
\n\u21d2 $3x = 27$
\n\u21d2 $x = 9$
\nHence, The age of the youngest child = 9 years.<\/p>\n
\nGiven,
\n$\\dfrac{x+x+2+x+4+x+6+x+8}{5} = 16$<\/p>\n
\n\u21d2 5x = 60
\n\u21d2 x = 12
\nHence, Smallest number = 12.<\/p>\n
\nTotal age of 25 students and 1 teacher = 26*16 = 416 years
\nThen, age of teacher = 416-375 = 41 years<\/p>\n
\nLet the number of students be \u2018n\u2019.
\nThen average marks of students = $\\frac{S}{n}$<\/p>\n
\n=> $n = 18$
\nTherefore, number of students $= 18$<\/p>\n
\nLet the number of students be \u2018n\u2019.
\nThen average marks of students = $\\frac{S}{n}$<\/p>\n
\n=> $n = 27$
\nTherefore, number of students $= 27$<\/p>\n
\nThen, Total number of visitors on Sundays = 400*5 = 2000
\nTotal number of visitors on remaining 25 days = 25*160 = 4000
\nTotal number of visitors in 30 days = 4000+2000 = 6000
\nAverage number of visitors per day = 6000\/30 = 200<\/p>\n
\nThen, Total number of visitors on Sundays = 400*5 = 2000
\nTotal number of visitors on remaining 25 days = 25*250 = 6250
\nTotal number of visitors in 30 days = 6250+2000 = 8250
\nAverage number of visitors per day = 8250\/30 = 275<\/p>\n
\nTotal weight of 20 boys = 20*22 = 440 kg
\nTotal weight of remaining 20 girls = 1120-440 = 680 kg
\nAverage weight of 20 girls = 680\/20 = 34 kg<\/p>\n
\nTotal weight of 20 girls = 20*44 = 880 kg
\nTotal weight of class = 1200+880 = 2080 kg
\nAverage weight of the class = 2080\/45 = 46.2 kg<\/p>\n
\nA-3+B-3+C-3 = 84
\n\u21d2 A+B+C = 84+9 = 93 years
\nTotal age of A and B 6 years ago = 24*2 = 48 years
\nA-6+B-6 = 48
\n\u21d2 A+B = 48+12 = 60 years
\nSubstituting A+B = 60 in above equation<\/p>\n
\n\u21d2 C = 33
\nHence, Age of C = 33 years.<\/p>\n
\nTotal age of husband, wife and son 3 years ago = 38*3 = 114
\nH-3+W-3+S-3 = 114
\n\u21d2 H+W+S = 123<\/p>\n
\nH-5+W-5 = 84
\n\u21d2 H+W = 94.
\nSubstituting H+W = 94 in above equation.
\n\u21d2 94+S = 123
\n\u21d2 S = 29
\nTherefore, present age of the son = 29 years<\/p>\n
\nA+B = Rs.96000 \u2192 (1)
\nTotal salary of B and C:
\nB+C = Rs.84000 \u2192 (2)
\nTotal salary of A and C:
\nA+C = Rs.76000 \u2192 (3)
\nSolving (1) and (2), we get
\nA-C = Rs.12000 \u2192 (4)
\nSolving (3) and (4), we get
\n2A = 88000
\nA = 44000
\nHence, Salary of A = Rs.44000<\/p>\n
\nThen total sum of 15 numbers = 15*0 = 0.
\nThen, at most 14 numbers should be greater than zero .
\nLet Total of 14 numbers = x
\nThen, the other number should be -x so that their sum is equal to zero.<\/p>\n
\nTotal salary of Q and R = 35000*2 = Rs.70000
\nTotal salary of P and R = 16000*2 = Rs.32000<\/p>\n
\nQ+R = 70000 \u2192 (2)
\nP+R = 32000 \u2192 (3)
\nSolving (2) and (3), we get
\nQ-P = 38000 \u2192 (4)
\nSolving (1) and (4)
\n2Q = 86000
\n\u21d2 Q = 43000
\nHence, Salary of Q = Rs.43000<\/p>\n
\nThen total sum of 20 numbers = 20*0 = 0.
\nThen, at most 19 numbers should be greater than zero .
\nLet Total of 19 numbers = x
\nThen, the other number should be -x so that their sum is equal to zero.<\/p>\n
\nTotal score in 4 matches = 156+124+52+68 = 400 runs.
\nTherefore, Score he should make in 6th match = 480-400 = 80 runs<\/p>\n
\nTotal score in 5 matches = 48+62+52+34+26 = 222 runs
\nTherefore, Score he should make in 6th match = 324-222 = 102 runs<\/p>\n