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- Question
If a quarter kg of carrots costs 60 paise, how many paise will 200 gms cost ?
Options- A. 78 paise
- B. 48 paise
- C. 54 paise
- D. 62 paise
- Correct Answer
- 48 paise
ExplanationQuarter of Kg means 250 gm
Less weight, less price (Direct Proportion)
So,
250 : 200 :: 60 : x => x = 48
So 200 gm will cost 48 paise.
- 1. A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:
Options- A. 30 birds
- B. 60 birds
- C. 72 birds
- D. 90 birds Discuss
- 2. If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?
Options- A. Rs. (xy⁄d)
- B. Rs. (xd)
- C. Rs. (yd)
- D. Rs. (yd⁄x) Discuss
- 3. The sum of first 45 natural numbers is:
Options- A. 1035
- B. 1280
- C. 2070
- D. 2140 Discuss
- 4. One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund?
Options- A. Rs. 30,000
- B. Rs. 50,000
- C. Rs. 60,000
- D. Rs. 90,000 Discuss
- 5. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
Options- A. 648
- B. 1800
- C. 2700
- D. 10800 Discuss
- 6. In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
Options- A. 75 cu. m
- B. 750 cu. m
- C. 7500 cu. m
- D. 75000 cu. m Discuss
- 7. If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?
Options- A. 48 paise
- B. 54 paise
- C. 56 paise
- D. 72 paise Discuss
- 8. A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?
Options- A. 2.4 km
- B. 2.5 km
- C. 3 km
- D. 3.6 km Discuss
- 9. 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Options- A. 10
- B. 13
- C. 14
- D. 15 Discuss
- 10.
If x = 3 + 2√2, then the value of ❨ √x - 1 ❩ is: √x
Options- A. 1
- B. 2
- C. 2√2
- D. 3√3 Discuss
More questions
Correct Answer: 30 birds
Explanation:
Let the total number of shots be x . Then,
| Shots fired by A = | 5 | x |
| 8 |
| Shots fired by B = | 3 | x |
| 8 |
| Killing shots by A = | 1 | of | 5 | x | = | 5 | x |
| 3 | 8 | 24 |
| Shots missed by B = | 1 | of | 3 | x | = | 3 | x |
| 2 | 8 | 16 |
| ∴ | 3x | = 27 or x = | ❨ | 27 x 16 | ❩ | = 144. |
| 16 | 3 |
| Birds killed by A = | 5x | = | ❨ | 5 | x 144 | ❩ | = 30. |
| 24 | 24 |
Correct Answer: Rs. (yd⁄x)
Explanation:
Cost of x metres = Rs. d.
| Cost of 1 metre = Rs. | ❨ | d | ❩ |
| x |
| Cost of y metres = Rs. | ❨ | d | . y | ❩ | = Rs. | ❨ | yd | ❩. |
| x | x |
Correct Answer: 1035
Explanation:
Let S n = (1 + 2 + 3 + ... + 45)
This is an A.P. in which a = 1, d = 1, n = 45 and l = 45
| ∴Sn = | n | (a + l) | = | 45 | x (1 + 45) = (45 x 23) = 1035 |
| 2 | 2 |
Required sum = 1035.
Correct Answer: Rs. 60,000
Explanation:
Let savings in N.S.C and P.P.F. be Rs. x and Rs. (150000 - x ) respectively. Then,
| 1 | x = | 1 | (150000 - x) |
| 3 | 2 |
| ⟹ | x | + | x | = 75000 |
| 3 | 2 |
| ⟹ | 5x | = 75000 |
| 6 |
| ⟹ x = | 75000 x 6 | = 90000 |
| 5 |
∴ Savings in Public Provident Fund = Rs. (150000 - 90000) = Rs. 60000
Correct Answer: 1800
Explanation:
Let the required number of bottles be x
More machines, More bottles (Direct Proportion)
More minutes, More bottles (Direct Proportion)
| Machines | 6 | : | 10 | ] | :: 270 : x |
| Time (in minutes) | 1 | : | 4 |
∴ 6 x 1 x x = 10 x 4 x 270
| ⟹ x = | (10 x 4 x 270) |
| (6) |
⟹ x = 1800.
Correct Answer: 750 cu. m
Explanation:
1 hectare = 10,000 m 2
So, Area = (1.5 x 10000) m2 = 15000 m2.
| Depth = | 5 | m | = | 1 | m. |
| 100 | 20 |
| ∴ Volume = (Area x Depth) = | ❨ | 15000 x | 1 | ❩m3 | = 750 m3. |
| 20 |
Correct Answer: 48 paise
Explanation:
Let the required weight be x kg.
Less weight, Less cost (Direct Proportion)
∴ 250 : 200 :: 60 : x ⟺ 250 x x = (200 x 60)
| ⟹ x= | (200 x 60) |
| 250 |
⟹ x = 48.
Correct Answer: 2.4 km
Explanation:
Speed downstream = (5 + 1) kmph = 6 kmph.
Speed upstream = (5 - 1) kmph = 4 kmph.
Let the required distance be x km.
| Then, | x | + | x | = 1 |
| 6 | 4 |
⟹ 2x + 3x = 12
⟹ 5x = 12
⟹ x = 2.4 km.
Correct Answer: 13
Explanation:
Let the required number of days be x
Less persons, More days (Indirect Proportion)
More working hours per day, Less days (Indirect Proportion)
| Persons | 30 | : | 39 | ] | :: 12 : x |
| Working hours/day | 6 | : | 5 |
∴ 30 x 6 x x = 39 x 5 x 12
| ⟹ x = | (39 x 5 x 12) |
| (30 x 6) |
⟹ x = 13.
Correct Answer: 2
Explanation:
| ❨ | √x | - | 1 | ❩ | 2 | = x + | 1 | - 2 |
| √x | x |
| = (3 + 2√2) + | 1 | - 2 |
| (3 + 2√2) |
| = (3 + 2√2) + | 1 | x | (3 - 2√2) | - 2 |
| (3 + 2√2) | (3 - 2√2) |
= (3 + 2√2) + (3 - 2√2) - 2
= 4.
| ∴ | ❨ | √x | - | 1 | ❩ | = 2. |
| √x |
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