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- Question
- The average markes obtained by 120 students in an examination is 30. if the aveage marks of passed students is 40 and that of the failed students is 10. what is the 25% of the number of students who passed the examination?
Options- A. 30
- B. 20
- C. 40
- D. 15
- Correct Answer
- 20
ExplanationLet number of passed students = N
Total marks = 120 x 30
According to the question,
40N + (120 - N) x 10 = 120 x 30
? 3600 = 40N + 1200 - 10N
? 30N = 2400
? N = 2400/30 = 80
? 25% of 80 = 80/4 = 20 - 1. A rope can make 70 rounds of the circumference of a cylinder whose radius of the base is 14 cm. how many times can it go round a cylinder having radius 20 cm?
Options- A. 49 rounds
- B. 54 rounds
- C. 56 rounds
- D. 77 rounds Discuss
- 2. If the cost of x meters of wire is d rupees, then what is the cost of y meters of wire at the same rate?
Options- A. xy d
- B. xd
- C. yd
- D. yd x Discuss
- 3. In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Options- A. 1
- B. 32
- C. 40
- D. 76 Discuss
- 4. The average speed of a train in the onward journey is 25% more than that in the return journey. The train halts for 2 h on reaching the destination. The total time taken to complete to and fro journey is 32 h, covering a distance of 1600 km. Find the speed of the train in the onward journey?
Options- A. 56.25 km/h
- B. 60 km/h
- C. 66.50 km/h
- D. 67 km/h Discuss
- 5. An amount at the rate of 5% pa becomes ? 10 more at compound interest than that of simple interest after 2 yr. Calculate the principal.
Options- A. ? 4000
- B. ? 4050
- C. ? 5000
- D. ? 5500 Discuss
- 6. In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Options- A. 3 km/hr
- B. 5 km/hr
- C. 8 km/hr
- D. 9 km/hr Discuss
- 7. The principal amount which yields a compound interest of ? 208 in the second year at 4% is
Options- A. ? 5000
- B. ? 10000
- C. ? 130000
- D. ? 6500 Discuss
- 8. The circumference of a circle is 25 cm. Find the side of the square incribed in the circle.
Options- A. 25/??2 cm
- B. 21/??3 cm
- C. 23/??2
- D. 29/??3 cm Discuss
- 9. Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
Options- A. 9
- B. 11
- C. 13
- D. 15 Discuss
- 10. The height of a tree increases every year 1/8 times. If the present height of the tree is 64 cm, then what will be its height after 2 yr?
Options- A. 76 cm
- B. 80 cm
- C. 81 cm
- D. 84 cm Discuss
More questions
Correct Answer: 49 rounds
Explanation:
Given in the question,
If radius is 14 cm then rope can make 70 rounds.
If radius is 1 cm then rope can make 70 x 14 rounds.
If radius is 20 cm then rope can make 70 x 14 / 20 rounds.
If radius is 20 cm then rope can make 7 x 7 rounds.
If radius is 20 cm then rope can make 49 rounds.
Correct Answer: yd x
Explanation:
Correct Answer: 40
Explanation:
According to question,
40 cows eat 40 bags of husk in 40 days.
1 cows eat 40 bags of husk in 40 x 40 days.
1 cows eat 1 bags of husk in 40 x 40 / 40 days.
1 cows eat 1 bags of husk in 40 days.
Correct Answer: 60 km/h
Explanation:
Let speed in the return journey = V
? Speed in onward journey = (125/100) x V = 5V/4 km/h
Average speed = (2x 5V/4 x V) / (5V/4 + V) = 10V/9 km/h
? 1600 x (9/10V) = 30 [? halts for 2 h ]
? V = 1600 x 9/30 x 10 = 48 km/h
? Speed in onward journey = 5V/4 = 5/4 x 48 = 60 km/h
Correct Answer: ? 4000
Explanation:
Here, CI - SI = 10, R = 5%, n = 2 yr and P = ?
According to the formula,
CI - SI = PR2/1002
? 10 = (P x 25)/10000
? P = (400 x 10) = ? 4000
Correct Answer: 8 km/hr
Explanation:
| Speed in still water = | 1 | (11 + 5) kmph = 8 kmph. |
| 2 |
Correct Answer: ? 5000
Explanation:
Let the principal be ? P.
Amount after first year = (P x 104)/100 and
amount after second year P x (104/100) x (4/100)
According to the question.
(P x 104 x 4)/(100 x 100) = 208
? P = ? 5000
Correct Answer: 25/??2 cm
Explanation:
Circumference of the circle = 2?r = 25
? r = 25 / (2?)
According to the formula,
Side of inscribed square = r?2
= 25 / (2?r x ?2)
= 25 / (??2 ) cm
Correct Answer: 15
Explanation:
Then, 3x = 2(x + 4) + 3 ⟺ x = 11.
∴ Third integer = x + 4 = 15.
Correct Answer: 81 cm
Explanation:
Percentage growth = (1/8) x 100 % = 12.5%
Height after 2 yr = 64 x (1+ 12.5/100)2
= 64 x (9/8) x (9/8) = 81 cm
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