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- Question
The average age of 80 boys in a class is 15 years. The average age of a group of 15 boys in the class is 16 years and the average age of another 25 boys in the class is 14 years. What is the average age of the remaining boys in the class?
Options- A. 15.25 years
- B. 14 years
- C. 14.75 years
- D. Cannot be determined
- Correct Answer
- 15.25 years
ExplanationTotal sum of age of 80 students of the class = 15 X 80 = 1200 years
15 students ? 15 X 16 = 240 years
25 students ? 25 X 14 = 350 years
Sum of 40 students = 590 years
Total age of remaining 40 students = 1200 ? 590 = 610
So, average age = 15.25 years - 1. Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?
Options- A. 2 times
- B.
2 1 times 2 - C.
2 3 times 4 - D. 3 times Discuss
- 2. A flagstaff 17.5 meters high casts a shadow of length 40.25 meters. What will be the height of a building, which casts a shadow of length 28.75 meters under similar conditions?
Options- A. 12.5 m
- B. 11.5 m
- C. 14.8
- D. 12.9 Discuss
- 3. A person covers 9 km with a speed of 3 km/h, 25 km with a speed of 5 km/h and 30 km with a speed of 10 km/h. Find out the average speed of person.
Options- A. 59/11 km/h
- B. 115/9 km/h
- C. 95/11 km/h
- D. 55/11 km/h Discuss
- 4. The ratio of two numbers is 3 : 4 and their HCF is 4. What will be their LCM?
Options- A. 12
- B. 16
- C. 24
- D. 48 Discuss
- 5. If ? 3 =1.732 and ? 2 = 1.414, the value of 1/(? 3 + ? 2) is?
Options- A. 0.064
- B. 0.308
- C. 0.318
- D. 2.146 Discuss
- 6. A sum of the ? 300 is divided among P, Q and R in such a way that Q gets ? 30 more than P and R gets ? 60 more then Q. Then, ratio of their shares is?
Options- A. 2 : 3 : 5
- B. 3 : 2 : 5
- C. 2 : 5 : 3
- D. 5 : 3 : 2 Discuss
- 7. A dealer buys an article marked at ? 40000 with 20% and 10% off. He spends ? 1200 on its repairs and sells it for ? 30000. What is his gain or loss per cent?
Options- A. 10% gain
- B. 10% loss
- C. No gain no loss
- D. None of these Discuss
- 8. The sum which amount to ? 364.80 in 8 yr at 3.5% simple interest per annum is
Options- A. ? 285
- B. ? 280
- C. ? 275
- D. ? 270 Discuss
- 9. A tiger is 50 of its own leaps behind a deer. The tiger takes 5 leaps per minute to the deer's 4. If the tiger and the deer cover 8 m and 5 m per leap respectively, what distance will the tiger have to run before it catches the deer?
Options- A. 600 m
- B. 700 m
- C. 800 m
- D. 1000 m Discuss
- 10. Rakesh lent out ? 8750 at 7% annual interest, Find the simple interest in 3 yr.
Options- A. ? 1870
- B. ? 1837.50
- C. ? 1560
- D. ? 2200 Discuss
More questions
Correct Answer: 2 times
Explanation:
| ∴ | (4x + 8) = | 5 | (x + 8) |
| 2 |
⟹ 8x + 16 = 5x + 40
⟹ 3x = 24
⟹ x = 8.
| Hence, required ratio = | (4x + 16) | = | 48 | = 2. |
| (x + 16) | 24 |
Correct Answer: 12.5 m
Explanation:
According to question,
A shadow of length 40.25 meters is build for a height of 17.5 meters.
A shadow of length 1 meters is build for a height of 17.5 /40.25 meters.
A shadow of length 28.75 meters is build for a height of 17.5 x 28.75 /40.25 meters.
A shadow of length 28.75 meters is build for a height of 17.5 x 2875 /4025 meters.
A shadow of length 28.75 meters is build for a height of 17.5 x 575 /805 meters.
A shadow of length 28.75 meters is build for a height of 17.5 x 115/161 meters.
A shadow of length 28.75 meters is build for a height of 12.5 meters.
Correct Answer: 59/11 km/h
Explanation:
Here, P = 9 km/h, Q = 25 km/h, R = 30 km
x = 3 km/h, y = 5 km/h and z = 10 km/h
? Required average speed
= [P + Q + R] / [(P/x) + (Q/y) + (R/z)] = [9+25 + 30] / [(9/3) + (25/5) + (30/10)]
= 64/(3 + 5 + 3)
= 64/11
= 59/11 km/h
Correct Answer: 48
Explanation:
According to the question,
1st number = 3M, 2nd number = 4M
where, M = HCF
But given, M = 4
We know that,
LCM = Product of two numbers / HCF
= (3M x 4M) / M
LCM = 12M = 12 x 4 = 48
Correct Answer: 0.318
Explanation:
1/ (?3 + ?2)
= (?3 - ?2) / [ 1/ (?3 - ?2) x (?3 + ?2)]
= (?3 - ?2) / (3 - 2)
= (1.7732 - 1.414) = 0.318
Correct Answer: 2 : 3 : 5
Explanation:
Let the share of P = x
Then, Q's share = x + 30 and
R's share = (x + 30) + 60 = x + 90
Sum of money with P, Q and R = 300
? x + (x + 30) + (x + 90) = 300
? 3x + 120 = 300
? x = (300 - 120)/3 = 60
? Required ratio = 60 : (60 + 30) : (60 + 90) = 2 : 3 : 5
Correct Answer: No gain no loss
Explanation:
CP. = (80% of 90% of ?40000) + ?(1200)
= [(80/100) x (90/100) x 40000] + 1200
= (28800 + 1200)
= ?30000
? CP = ?30000
So, no gain no loss in the transaction.
Correct Answer: ? 285
Explanation:
Given, t = 8 yr, r = 3.5%, A = ? 364.80
Let amount = ? P
Since, A =P [1 + (RT/100)]
? 364.80 = P[1 + (3.5 x 8)/100]
? 364.80 = P[ 1+ (35 x 8)/100]
? 3648/10 = P x (128/100)
? P = 3648/128
= ? 285
Correct Answer: 800 m
Explanation:
Speed of tiger = 40 m/min
Speed of dear = 20 m/min
Relative speed = 40 - 20 = 20 m/min
Difference in distance = 50 x 8 = 400 m
? Time taken in overtaking (or catching) = 400/20 = 20min
? Distance travelled in 20 min = 20 x 40 = 800 m
Correct Answer: ? 1837.50
Explanation:
Given, P = ? 8750., R = 7% T = 3 yr
According to the formula.
SI = (P x R x T)/100 = (8750 x 7 x 3)/100
= ? 1837.50
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