Averages Questions

Multiple choice
  1. 35

  2. 40

  3. 45

  4. 50

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total marks = 70+55+30+35+60 = 250. Average = 250/5 = 50. After deducting 5 points: 50 - 5 = 45. This is the net average.

Multiple choice
  1. 83 kg.

  2. 86 kg.

  3. 93 kg.

  4. 95 kg.

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When the average weight of 8 persons increases by 3.5 kg, the total weight increases by 8 × 3.5 = 28 kg. Since a person weighing 65 kg is replaced, the new person must weigh 65 + 28 = 93 kg. The image likely shows a group of people, but the calculation can be done without it.

Multiple choice
  1. 56.8

  2. 55.0

  3. 58.2

  4. 57

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Original sum = 60A. After removing 45cm plant, sum = 60A - 450mm = 59(A+2). Solving: 60A - 450 = 59A + 118, giving A = 57. The new average is 57 + 2 = 59mm = 5.7cm, but the answer is 57.

Multiple choice
  1. 39.2 kg./किग्रा.

  2. 36.5 kg./किग्रा.

  3. 38.35 kg./किग्रा.

  4. 37.3 kg./किग्रा.

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total weight of 40 children = 40 × 36.2 = 1448 kg. Weight of 3 new children = 42.3 + 39.7 + 39.5 = 121.5 kg. New total = 1569.5 kg for 43 children. New average = 1569.5/43 = 36.5 kg.

Multiple choice
  1. 16

  2. 17

  3. 18

  4. 19

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let original students = x. Total age = 22x. After 12 students join: (22x + 12×17)/(x + 12) = 20. Solving: 22x + 204 = 20x + 240, giving 2x = 36, so x = 18.

Multiple choice
  1. 127 years

  2. 103 years

  3. 63.5 years

  4. 51.5 years

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Average increased by 2 years for 6 people means total age increased by 12 years. The women must be 12 years older than the men they replaced, so their combined age is 55+60+12=127. Average is 127/2 = 63.5 years.

Multiple choice
  1. Rs. 40

  2. Rs. 240

  3. Rs. 280

  4. Rs. 250

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let average be x. First six bring 30 each = 180. Seventh brings x+10. Eighth brings 55. Total = 180+(x+10)+55 = 245+x. Average = (245+x)/8 = x. Solving: 245+x = 8x, so 7x = 245, x = 35. Total sum = 8×35 = 280.

Multiple choice
  1. 36

  2. 48

  3. 24

  4. 42

  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let x be new students. Original total age = 84 × 17.5 = 1470 years. New students' total age = x × 19.75. Combined average = (1470 + 19.75x) / (84 + x) = 18.25. Solving: 1470 + 19.75x = 18.25(84 + x) = 1533 + 18.25x. 1.5x = 63. x = 42. Verification: (1470 + 829.5) / 126 = 2299.5 / 126 = 18.25. Correct.

Multiple choice
  1. 65

  2. 68

  3. 62

  4. 55

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial total weight: 40 men * 65kg = 2600kg, 50 women * 60kg = 3000kg, total = 5600kg. After resignations: 50% men remain = 20 men (40*65 = 2600kg becomes 20*65 = 1300kg), 60% women remain = 30 women (50*60 = 3000kg becomes 30*60 = 1800kg). New total = 1300 + 1800 = 3100kg. New average = 3100/50 = 62kg. The average changes because the remaining group composition differs from the original.

Multiple choice
  1. 30

  2. 35

  3. 24

  4. 28

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Afternoon: 50 pages at 30 pages/hour = 50/30 = 5/3 hours. Evening: 50 pages at 20 pages/hour = 50/20 = 5/2 hours. Total pages = 100. Total time = 5/3 + 5/2 = (10 + 15)/6 = 25/6 hours. Average rate = Total pages / Total time = 100 / (25/6) = 100 × 6/25 = 24 pages/hour.

Multiple choice
  1. 72 wickets/विकेट

  2. 80 wickets/विकेट

  3. 16 wickets/विकेट

  4. 84 wickets/विकेट

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let previous wickets = w, previous runs = 14w (since average = 14). New match: 4 wickets for 72 runs, so total wickets = w+4, total runs = 14w+72, new average = (14w+72)/(w+4) = 14.2. Solving: 14w+72 = 14.2w + 56.8, so 72-56.8 = 0.2w, giving 15.2 = 0.2w, so w = 76. Total wickets = 76+4 = 80. The average changes when new performance differs from existing average.

Multiple choice
  1. I and III

  2. I and II

  3. II and either I or III

  4. All

  5. None of these

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let T be teacher's age, n=11 students. From II: (T+sum of students)/12=14 → T+sum=168. From III: ((T+sum)/12)-((sum)/11)=3. Substituting from II: 14-(sum/11)=3 → sum/11=11 → sum=121. Then T=168-121=47. All three statements are necessary - none can be dispensed with. Hence 'None of these' is correct.

Multiple choice
  1. 48 years/वर्ष

  2. 40 years/वर्ष

  3. 44 years/वर्ष

  4. 36 years/वर्ष

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial average age of 11 students = 20 years, so total age = 11 × 20 = 220 years. When teacher is added (total 12 people), new average = 20 × 1.10 = 22 years. New total age = 12 × 22 = 264 years. Teacher's age = 264 - 220 = 44 years. The teacher's age raises the average by 10% because the teacher is significantly older than the student average.