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- Question
Kaushalya can do a work in 20 days, while kaikeyi can do the same work in 25 days. They started the work jointly.Few days later Sumitra also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.700. What is the Share of Sumitra?
Options- A. Rs.130
- B. Rs.185
- C. Rs.70
- D. can't be determined
- Correct Answer
- Rs.70
ExplanationEfficiency of kaushalya = 5%
Efficiency of kaikeyi = 4%
Thus, in 10 days working together they will complete only 90% of the work.
[(5+4)*10] =90
Hence, the remaining work will surely done by sumitra, which is 10%.
Thus, sumitra will get 10% of Rs. 700, which is Rs.70
- 1. The volume of a cube is 512 cm 3, Its surface area is?
Options- A. 64 cm2
- B. 256 cm2
- C. 384 cm2
- D. 512 cm2 Discuss
- 2. A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Options- A. 34
- B. 40
- C. 68
- D. 88 Discuss
- 3. Find the area of a square, one of whose diagonals is 3.8 m long.
Options- A. 4.22 sq.m
- B. 5.22 sq.m
- C. 6.22 sq.m
- D. 7.22 sq.m Discuss
- 4. One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?
Options- A. 24
- B. 20
- C. 26
- D. 34 Discuss
- 5. Two cylindrical buckets have their diameters in the ratio 3:1 and their heights are as 1: 3. Find the ratio of their volumes.
Options- A. 2:1
- B. 3:1
- C. 4:1
- D. 5:1 Discuss
- 6. The cost of the paint is rs.36.50 per kg. if 1kg of paint covers 16sq.ft, how much will it cost to paint outside of a cube having 8 feet each side
Options- A. Rs.962
- B. Rs.672
- C. Rs.546
- D. Rs.876 Discuss
- 7. A cuboid of dimension 24cm x 9cm x 8 cm is melted and smaller cubers are of side 3 cm is formed.find how many such cubes can be formed ?
Options- A. 64
- B. 56
- C. 48
- D. 40 Discuss
- 8. The base of a pyramid is a rectangle whose length and breadth are 16 cm and 12 cm respectively. If the length of all the lateral edges passing through the vertex of the right rectangular pyramid is 26 cm, then find the volume of the pyramid in cubic centimeter?
Options- A. 1536
- B. 1024
- C. 718
- D. 2072 Discuss
- 9. If ?ABC is an equilateral triangle of side 16 cm, then the length of altitude is
Options- A. 2?3 cm
- B. 4?3 cm
- C. 8?3 cm
- D. 5?3 cm Discuss
- 10. In ?PQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid-point of QR, then what is the perimeter (in cm) of quadrilateral ABPC?
Options- A. 18
- B. 28
- C. 32
- D. 36 Discuss
More questions
Correct Answer: 384 cm2
Explanation:
? a3 = 512 = 8 x 8 x 8
? a = 8 cm
? Surface area = 6a2
=[6 x (8)2] cm2
=384 cm2
Correct Answer: 88
Explanation:
We have: l = 20 ft and lb = 680 sq. ft.
So, b = 34 ft.
Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft.
Correct Answer: 7.22 sq.m
Explanation:
Area of the square = = 1/2 * 3.8 * 3.8 = 7.22 sq.m
Correct Answer: 20
Explanation:
The maximum area of the triangle will come when the given sides are placed at right angles. If we take 8 as the base and 5 as the height the area = ½ x 8 x 5=20
Correct Answer: 3:1
Explanation:
d1 = and d2 = are diameters
Correct Answer: Rs.876
Explanation:
surface area of a cube= 6 x (8 x 8) = 384 sq.ft
quantity of paint required=(384/16)=24kg
cost of painting= 36.5 x 24 = Rs.876
Correct Answer: 64
Explanation:
Volume of cuboid = (24 x 9 x 8) cm = 1728 cu.cm
Volume of small cube = (3 x 3 x 3) cm = 27 cu.cm
So, No. of small cubes formed = 1728/27 = 64.
Correct Answer: 1536
Correct Answer: 8?3 cm
Correct Answer: 36
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