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- Question
- Radhika runs along the boundary of a rectangular park at the rate of 12 km/hr and completes one full round in 15 minutes. If the length of the park is 4 times its breadth , the area of the park is?
Options- A. 360000 m2
- B. 360002
- C. 3600 m2
- D. None of these
- Correct Answer
- 360000 m2
ExplanationSpeed = 12 x (5/18) m/sec
=10/3 m/sec
there4; perimeter = (10/3) x 15 x 60 m=3000 m
? 2( a + 4a) = 3000 m
? a = 300 m
So, length = 1200 m and breadth = 300 m
? Area = (1200 x 300 ) m2 = 360000m2 - 1. The average age of 54 girls in a class was calculated as 14 yr. It was later relized that the actual age of one of the girls in the class was 10.5 yr but it was calculated as 13 yr. What is the actual averge age (round off) of the the girls in the class? (Find the approximate answer.)
Options- A. 10.50 yr.
- B. 12.50 yr
- C. 12 yr
- D. 14 yr Discuss
- 2. If the average of the ages of Rakesh and Mohan is 15, average of the ages of Mohan and Ramesh is 12 and the average of the ages of Rakesh and Rameh is 13, then the age of Mohan, is?
Options- A. 16
- B. 13
- C. 14
- D. 12 Discuss
- 3. Out of the three annual examinations, each with a total of 500 marks, a student secured average marks of 45% and 55% in the first and second annual examinations. To have an overall average of 60%, how many marks does the student need to secure in the third annual examination?
Options- A. 450
- B. 400
- C. 350
- D. 300 Discuss
- 4. The average earning of a mechanic for the first-four days of a week is Rs. 18 and for the last four days is Rs. 22. If he earns Rs . 20 on the fourth day, his average earning for the whole week is?
Options- A. Rs . 18.95
- B. Rs 16
- C. Rs. 20
- D. Rs. 25.71 Discuss
- 5. The average salary per head of all the workers in a workshop is Rs. 850, if the average salary per head of 7 technician is Rs. 1000 and the average salary per head of the rest is Rs 780, the total number of workers in the work- shop is?
Options- A. 18
- B. 20
- C. 22
- D. 24 Discuss
- 6. The average weight of 8 men is increased by 2kg when one of the men whose weight is 50 kg is replaced by a new man . The weight of the new man is?
Options- A. 52 kg
- B. 58 kg
- C. 66 kg
- D. 68 kg Discuss
- 7. The average age of four players is 18.5 years. If the age of the coach is also included, the average age increases by 20%. The age of the coach is?
Options- A. 28 years
- B. 31 years
- C. 34 years
- D. 37 years Discuss
- 8. The average age of four children in a family is 12 years. If the spacing between their ages is 4 years, the age of the youngest child is?
Options- A. 6 years
- B. 7 years
- C. 8 years
- D. 9 years Discuss
- 9. In a T.V. factory, an average of 60 TVs are produced per day for the fist 25 days of the months. A few workers fell ill for the next five days reducing the daily average for the month to 58 sets per day . The average production per day for day last 5 days is?
Options- A. 45
- B. 48
- C. 52
- D. 58 Discuss
- 10. The average of marks obtained by 120 candidates was 35. If the average of marks of passed candidates was 39 and that of failed candidates was 39 and that of failed candidates was 15, the number of candidates who passed the examination is?
Options- A. 100
- B. 110
- C. 120
- D. 150 Discuss
More questions
Correct Answer: 14 yr
Explanation:
Total actual age of 54 girls = (54 x 14) - 13 + 10 .5
= 753.5 yr
? Require average age = 753.5/54
= 13.95 yr
= 14 yr(approx).
Correct Answer: 14
Explanation:
Let ages of Rakesh, Mohan and Ramesh be R, M and r, respectively .
Then, R + M = 15 x 2 = 30.......(i)
M + r = 12 x 2 = 24 ........(ii)
r + R = 13 x 2 = 26 ..... (iii)
Adding Eqs. (i), (ii) and (iii), we get
2(R + M + r) = 30 + 24 + 26 = 80
? R + M + r = 40
Subtracting Eq. (iii) from Eq. (iv), we get
M = 40 - 26 = 14
Correct Answer: 400
Explanation:
Total marks for three examinations = 3x 500 = 1500
Total required marks in three examinations = 60% of 1500
=( 3 x 500 x 60 ) / 100
= 900
Marks secured in first examination = 45 % of 500
=( 500 x 45 ) / 100
=225
Marks secured in third examination = 55 % of 500
=( 500 x 55 ) / 100
=275
Thus, the required marks in third examination
=900 - ( 225 + 275 )
=900 - 500
= 400
Correct Answer: Rs. 20
Explanation:
Total earning for the week = Sum of earning of first four days + Sum of earning of last four days - Earning of 4th day
= 4 x18 + 4 x 22 -20
= Rs. 140
? Average earning = 140 / 7
= Rs. 20
Correct Answer: 22
Explanation:
Let the total number of workers be y.
So sum of salary for all workers = sum of salary of 7 technician + sum of salary for other y -7 workers.
7 x 1000 + 780(y -7) = 850 y
? 7000 + 780y - 5460 = 850y
? 70y = 1540
? y = 22
So total number of workers = 22
Correct Answer: 66 kg
Explanation:
Weight increase = 8 x 2 kg = 16 kg
weight of new man= 50 + 16 = 66 kg
Correct Answer: 37 years
Explanation:
New average = 120% of old average
=120% of 18.5
= (120 x 18.5) / 100
= 22.2
Age of coach = Total weight of 4 players and coach - total weight of 4 players
= 5 x 22.2 - 4 x 18.5
= 37 years
Correct Answer: 6 years
Explanation:
Let the age of youngest child be y.
so from question y + (y + 4) + (y + 8) + (y + 12) = 4 x 12
? 4y + 24= 48
? y = 6 years
Correct Answer: 48
Explanation:
Production during these 5 days = Total production in a month - production in first 25 days.
= 30 x 58 - 25 x 60
= 240
? Average for last 5 days = 240 / 5
= 48
Correct Answer: 100
Explanation:
Let the number of candidate who passed = y
Then, 39y + 15(120 - y) =120 x 35
? 24y= 4200 -1800
? y= 2400 / 24 = 100
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