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- Question
The perimeter and the breadth of a rectangle are 44 cm and 10 cm respectively. Find its area (in cm2).
Options- A. 60
- B. 240
- C. 120
- D. 180
- Correct Answer
- 120
- 1. From a point P on a level ground , the angle of elevation to the top of the tower is 30° . If the tower is 100m high , the distance of point P from the foot of the tower is ( Take ?3 = 1.73)
Options- A. 149 m
- B. 156 m
- C. 173 m
- D. 188 m Discuss
- 2. The length and the breadth of rectangular field are in the ratio of 8 : 7. If charges of the painting the boundary of rectangle is at Rs. 10 per meter is Rs. 3000. What is the area of rectangular plot?
Options- A. 5600 sq.m
- B. 1400 sq. m
- C. 4400 sq.m
- D. 3600 sq.m Discuss
- 3. X and Y are the mid points of sides AB and AC of a triangle ABC. If BC+XY=12 units, then BC-XY is
Options- A. 8 units
- B. 4 units
- C. 6 units
- D. 2 units Discuss
- 4. A batsman has a certain average of runs for 12 innings. In the 13th inning he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?
Options- A. 28
- B. 32
- C. 36
- D. 42 Discuss
- 5. What was the day on 16th June,1993?
Options- A. Saturday
- B. Monday
- C. Wednesday
- D. Friday Discuss
- 6. Which of the following has most number of divisors?
Options- A. 99
- B. 101
- C. 176
- D. 182 Discuss
- 7. The sum of a non-zero number and 4 times its reciprocal is 17/2. What is the number?
Options- A. 8
- B. 12
- C. 16
- D. 4 Discuss
- 8. A tower is broken at a point P above the ground. The top of the tower makes an angle 60° with the ground at Q. From another point R on the opposite sideof Q angle of elevation of point P is 30°. If QR = 180 m, then what is the total height (in metres) of the tower?
Options- A. 90
- B. 45?3
- C. 45(?3+1)
- D. 45(?3+2) Discuss
- 9. If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle.
Options- A. 20
- B. 30
- C. 40
- D. 50 Discuss
- 10. The point of intersection of all the three medians of a triangle is called its
Options- A. orthocentre
- B. incentre
- C. centroid
- D. circumcentre Discuss
More questions
Correct Answer: 173 m
Correct Answer: 5600 sq.m
Explanation:
Perimeter of the rectangle is given by 3000/10 = 300 mts
But we know,
The Perimeter of the rectangle = 2(l + b)
Now,
2(8x + 7x) = 300
30x = 300
x = 10
Required, Area of rectangle = 8x x 7x = 56 x 100 = 5600 sq. mts.
Correct Answer: 4 units
Correct Answer: 36
Correct Answer: Wednesday
Explanation:
16 June, 1993 = (1992 years + Period from 1.1.1993 to 16.6.1993)
Odd days in 1600 years = 0
Odd days in 300 years = 1
92 years = (69 ordinary years + 23 leap year) = (69 x 1 + 23 x 2)= 3 odd days
Jan. Feb. March April May June
(31 + 28 + 31 + 30 + 31 + 16 ) = 167 days
167 days = (23 weeks + 6 days) =6 odd days.
Total number of odd days = (0 + 1 + 3 + 6) = 3 odd days.
Given day is Wednesday.
Correct Answer: 176
Explanation:
99 = 1 x 3 x 3 x 11
101= 1 x 101
176= 1 x 2x 2 x 2 x 2 x 11
182= 1 x 2 x 7 x 13
So, divisors of 99 are 1, 3, 9, 11, 33, 99
divisors of 101 are 1,101
divisors of 176 are 1, 2, 4, 8, 16, 22, 44, 88, 176
divisors of 182 are 1, 2, 7, 13, 14, 26, 91, 182
Hence , 176 hasthe most number of divisors.
Correct Answer: 8
Correct Answer: 45(?3+2)
Correct Answer: 50
Explanation:
Let x and y be the length and breadth of the rectangle respectively.
Then, x - 4 = y + 3 or x - y = 7 ----(i)
Area of the rectangle =xy; Area of the square = (x - 4) (y + 3)
(x - 4) (y + 3) =xy <=> 3x - 4y = 12 ----(ii)
Solving (i) and (ii), we get x = 16 and y = 9.
Perimeter of the rectangle = 2 (x + y) = [2 (16 + 9)] cm = 50 cm.
Correct Answer: centroid
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