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- Question
The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
Options- A. Rs. 3500
- B. Rs. 3750
- C. Rs. 3840
- D. Rs. 3900
- Correct Answer
- Rs. 3900
Explanation
Let the cost of a chair and that of a table be Rs. x and Rs. y respectively.Then, 10x = 4y or y = 5 x. 2 ∴ 15x + 2y = 4000
⟹ 15x + 2 x 5 x = 4000 2 ⟹ 20x = 4000
∴ x = 200.
So, y = ❨ 5 x 200 ❩ = 500. 2 Hence, the cost of 12 chairs and 3 tables = 12x + 3y
= Rs. (2400 + 1500)
= Rs. 3900.
- 1. If a - b = 3 and a2 + b2 = 29, find the value of ab.
Options- A. 10
- B. 12
- C. 15
- D. 18 Discuss
- 2. 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
- 3. 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
- 4. David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?
Options- A. 19
- B. 28
- C. 30
- D. 37 Discuss
- 5. There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
Options- A. 20
- B. 80
- C. 100
- D. 200 Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Simplification problems
Search Results
Correct Answer: 10
Explanation:
2 ab = ( a 2 + b 2 ) - ( a - b ) 2
= 29 - 9 = 20
⟹ab = 10.
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: 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: 30
Explanation:
Suppose their paths cross after x minutes.
Then, 11 + 57x = 51 - 63x ⟺ 120x = 40
| x = | 1 |
| 3 |
| Number of floors covered by David in (1/3) min. = | ❨ | 1 | x 57 | ❩ | = 19. |
| 3 |
So, their paths cross at (11 +19) i.e., 30th floor.
Correct Answer: 100
Explanation:
Let the number of students in rooms A and B be x and y respectively.
Then, x - 10 = y + 10 ⟹ x - y = 20 .... (i)
and x + 20 = 2(y - 20) ⟹ x - 2y = -60 .... (ii)
Solving (i) and (ii) we get: x = 100 , y = 80.
∴ The required answer A = 100.
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: 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: 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: 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: 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
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