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- Question
The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay?
Options- A. Rs. 1200
- B. Rs. 2400
- C. Rs. 4800
- D. Cannot be determined
- E. None of these
- Correct Answer
- Rs. 2400
Explanation
Let the price of a saree and a shirt be Rs. x and Rs. y respectively.Then, 2x + 4y = 1600 .... (i)
and x + 6y = 1600 .... (ii)
Divide equation (i) by 2, we get the below equation. => x + 2y = 800. --- (iii) Now subtract (iii) from (ii) x + 6y = 1600 (-) x + 2y = 800 ---------------- 4y = 800 ---------------- Therefore, y = 200. Now apply value of y in (iii) => x + 2 x 200 = 800 => x + 400 = 800 Therefore x = 400Solving (i) and (ii) we get x = 400, y = 200.
∴ Cost of 12 shirts = Rs. (12 x 200) = Rs. 2400.
- 1. To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present?
Options- A. 10
- B. 35
- C. 62.5
- D. Cannot be determined
- E. None of these Discuss
- 2. A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
Options- A. 22
- B. 23
- C. 24
- D. 26 Discuss
- 3. In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for?
Options- A. 160
- B. 175
- C. 180
- D. 195 Discuss
- 4. Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed?
Options- A. 256
- B. 432
- C. 512
- D. 640
- E. None of these Discuss
- 5. Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
Options- A. 1⁄7
- B. 1⁄8
- C. 1⁄9
- D. 7⁄8 Discuss
- 6. A sum of Rs. 1360 has been divided among A, B and C such that A gets ⅔ of what B gets and B gets ¼ of what C gets. B's share is:
Options- A. Rs. 120
- B. Rs. 160
- C. Rs. 240
- D. Rs. 300 Discuss
- 7. If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:
Options- A. 0
- B. 2
- C. 4
- D. 6 Discuss
- 8. (25)7.5 x (5)2.5 ÷ (125)1.5 = 5?
Options- A. 8.5
- B. 13
- C. 16
- D. 17.5
- E. None of these Discuss
- 9.
❨ xb ❩ (b + c - a) . ❨ xc ❩ (c + a - b) . ❨ xa ❩ (a + b - c) =? xc xa xb
Options- A. xabc
- B. 1
- C. xab + bc + ca
- D. xa + b + c Discuss
- 10. If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:
Options- A. 1
- B. 10
- C. 121
- D. 1000 Discuss
Simplification problems
Search Results
Correct Answer: 62.5
Explanation:
Let the capacity of 1 bucket = x
Then, the capacity of tank = 25x.
| New capacity of bucket = | 2 | x |
| 5 |
| ∴ Required number of buckets = | 25x |
| (2x/5) |
| = | ❨ 25x | x | 5 | ❩ |
| 2x |
| = | 125 |
| 2 |
= 62.5
Correct Answer: 26
Explanation:
Let the number of hens be x and the number of cows be y
Then, x + y = 48 .... (i)
and 2x + 4y = 140 ⟹ x + 2y = 70 .... (ii)
Solving (i) and (ii) we get: x = 26, y = 22.
∴ The required answer = 26.
Correct Answer: 175
Explanation:
Suppose the man works overtime for x hours.
Now, working hours in 4 weeks = (5 x 8 x 4) = 160.
∴ 160 x 2.40 + x x 3.20 = 432
⟹ 3.20x = 432 - 384 = 48
⟹ x = 15.
Hence, total hours of work = (160 + 15) = 175.
Correct Answer: 512
Explanation:
Let total number of children be x
| Then, x x | 1 | x = | x | x 16 ⟺ x = 64. |
| 8 | 2 |
| ∴ Number of notebooks = | 1 | x2 = | ❨ | 1 | x 64 x 64 | ❩ | = 512. |
| 8 | 8 |
Correct Answer: 1⁄7
Explanation:
| Original share of 1 person = | 1 |
| 8 |
| New share of 1 person = | 1 |
| 7 |
| Increase = | ❨ | 1 | - | 1 | ❩ | = | 1 |
| 7 | 8 | 56 |
| ∴ Required fraction = | (1/56) | = | ❨ | 1 | x | 8 | ❩ | = | 1 |
| (1/8) | 56 | 1 | 7 |
Correct Answer: Rs. 240
Explanation:
Let C's share = Rs. x
| Then, B's share = Rs. | x | , A's share = Rs. | ❨ | 2 | x | x | ❩ | = Rs. | x |
| 4 | 3 | 4 | 6 |
| ∴ | x | + | x | + x = 1360 |
| 6 | 4 |
| ⟹ | 17x | = 1360 |
| 12 |
| ⟹ x = | 1360 x 12 | = Rs. 960 |
| 17 |
| Hence, B's share = Rs. | ❨ | 960 | ❩ | = Rs. 240. |
| 4 |
Correct Answer: 4
Explanation:
3 x - y = 27 = 3 3 ⟺ x - y = 3 ....(i)
3x + y = 243 = 35 ⟺ x + y = 5 ....(ii)
On solving (i) and (ii), we get x = 4.
Correct Answer: 13
Explanation:
Let (25) 7.5 x (5) 2.5 ÷ (125) 1.5 = 5 x
| Then, | (52)7.5 x (5)2.5 | = 5x |
| (53)1.5 |
| ⟹ | 5(2 x 7.5) x 52.5 | = 5x |
| 5(3 x 1.5) |
| ⟹ | 515 x 52.5 | = 5x |
| 54.5 |
⟹ 5x = 5(15 + 2.5 - 4.5)
⟹ 5x = 513
∴ x = 13.
Correct Answer: 1
Explanation:
| Given Exp. |
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Correct Answer: 1000
Explanation:
We know that 11 2 = 121.
Putting m = 11 and n = 2, we get:
(m - 1)n + 1 = (11 - 1)(2 + 1) = 103 = 1000.
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