Discussion
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- Question
- If P : Q : R = 2 : 3 : 4, then find P/Q : Q/R : R/P?
Options- A. 8 : 9 : 24
- B. 9 : 8 : 24
- C. 24 : 8 : 9
- D. 8 : 24 : 9
- Correct Answer
- 8 : 9 : 24
ExplanationGiven that, P : Q : R = 2 : 3 : 4
Let P = 2K, Q = 3K, R = 4K
? P/Q = 2K/3K = 2/3,
Q/R = 3K/4K = 3/4,
R/P = 4K/2K = 2/1
? P/Q : Q/R : R/P = 2/3 : 3/4 : 2/1
= (2 x 12)/3 : (3 x 12)/ 4 : (2 x 12)/1
= (2 x 4) : (3 x 3) : 24
= 8 : 9 : 24 - 1. The area of the triangle formed by the lines 5x + 7y = 35, 4x + 3y = 12 and x-axis is
Options- A. 160 sq.unit 13
- B. 150 sq.unit 13
- C. 140 sq.unit 13
- D. 10 sq.unit Discuss
- 2. In a 20 m race, A runs at a speed of 2 m/s. If A gives B a start of 10 m and still beats him by 5 s, what will be the speed of B?
Options- A. 117/21 m/s
- B. 317/21 m/s
- C. 21 m/s
- D. 2 m/s Discuss
- 3. The length of a rectangular field is 100 m and its breadth is 40 m. What will be the area of the field?
Options- A. (4 x 102) sq m
- B. (4 x 10) sq m
- C. (4 x 104) sq m
- D. (4 x 103) sq m Discuss
- 4. 3 men can do a piece of work in 6 days. 5 women can do the same work in 18 days. If 4 men and 10 women work together, then how long will it take to finish the work?
Options- A. 3 days
- B. 5 days
- C. 2 days
- D. 4 days Discuss
- 5. The area of a right angled triangle is 10 sq cm. If its perpendicular is equal to 20 cm, find its base.
Options- A. 1 cm
- B. 4 cm
- C. 3 cm
- D. 2 cm Discuss
- 6. A can run 100 metres in 27 seconds and B in 30 seconds. A will beat B by
Options- A. 12 m
- B. 111?8 m
- C. 10 m
- D. 9 m Discuss
- 7. X covers 1 km in 8 min 40 s while Y covers the same distance in 10 min. By what distance does X defeat Y?
Options- A. 131/3 m
- B. 1332/3 m
- C. 1332/5 m
- D. 1331/3 m Discuss
- 8. The length of a rectangular plot is twice of its width. If the length of a diagonal is 9?5 meters, the perimeter of the rectangular is?
Options- A. 27 m
- B. 54 m
- C. 81 m
- D. None of these Discuss
- 9. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
Options- A.
1 2 - B.
2 5 - C.
8 15 - D.
9 20
Discuss
- 10. One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
Options- A.
1 13 - B.
3 13 - C.
1 4 - D.
9 52
Discuss
More questions
Correct Answer: 160 sq.unit 13
Explanation:
Correct Answer: 117/21 m/s
Explanation:
Time taken by A to cover 200 m = 200/2 = 100 s
? B covers (200 - 10) = 190 m in (100 + 5) = 105 s
? B' s speed = 190/105 = 38/21 = 117/21 m/s
Correct Answer: (4 x 103) sq m
Explanation:
Required area = Length x Breadth
= 100 x 40 = 4000 sq m
= 4 x 103 sq m
Correct Answer: 3 days
Explanation:
(3 x 6) men = (5 x 18) women
18 men = 90 women
? 1 man = 5 women
? 4 men + 10 women
= 4 x 5 + 10 = 30 women
Given, M1 = 5, M2 = 20, D1 = 18 ,
W1 = W2 = 1 and D2 = ?
According to the formula, M1D1W2 = M2D2W1
? 5 x 18 x 1 = 30 x D2 x 1
? D2 = 5 x 18/30 = 3 days
Correct Answer: 1 cm
Explanation:
Given that, area = 10 sq cm,
perpendicular = 20 cm and base = ?
area = (base x Perpendicular) / 2
? 10 = (base x 20) / 2
? base = 1 cm
Correct Answer: 10 m
Explanation:
Distance covered by B in 27 seconds = 100 x 27 / 30 = 90 m
Hence, A will beat B by (100 ? 90) = 10 m.
Correct Answer: 1331/3 m
Explanation:
Clearly, X beats Y by 8 s.
Distance covered by Y in 600 s = 1000 m
(? 10 min = 600 s)
Distance covered by Y 80 s. = (1000/600) x 80 = 400/3 m = 1331/3 m
Correct Answer: 54 m
Explanation:
Let breadth = y meters,
Then, length = 2y meters
? Diagonal = ?y2 + (2y)2
= ?5y2 meters
So, ?5y2 = 9 ?5
? y= 9
Thus, breadth = 9 m and length = 18 m
? Perimeter = 2 (18 + 9) m = 54m.
Correct Answer:
| 9 |
| 20 |
Explanation:
Let E = event of getting a multiple of 3 or 5 = {3, 6 , 9, 12, 15, 18, 5, 10, 20}.
| ∴ P(E) = | n(E) | = | 9 | . |
| n(S) | 20 |
Correct Answer:
| 3 |
| 13 |
Explanation:
| ∴ P (getting a face card) = | 12 | = | 3 | . |
| 52 | 13 |
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