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- Question
- A and B start from the same point and travel in the same direction round a circular track 3 km in circumference. If their speed be 200 and 150 metres a minute, when will they first together again at the starting point?
Options- A. 40 min
- B. 55 min
- C. 1 hour
- D. 45 min
- Correct Answer
- 1 hour
ExplanationTime taken by A in one round = 3000 / 200 = 15 min.
Time taken by B in one round = 3000 / 150 = 20 min
L.C.M. of 15 min and 20 min = 60 min = 1 hr.
Hence, they will meet first together at the starting point after 1 hour.
2nd Method to solve this
Let us assume after T minutes both A and B will meet first time together at starting points.
According to question,
Distance covered by A in T minutes = 200 x T = 200T
Distance covered by B in T minutes = 150 x T = 150T
200T - 150T = 3000 As we know (3 KM = 3000 meters)
? 50T = 3000
? 5T = 300
? T = 300/5 = 60 Minutes.
As we know ( 60 minutes = 1 hours)
? T = 1 Hours - 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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