Find the area of the shaded region, if the radius of each circle is 1 cm.
उत्तर देखें
सही उत्तर: (A) (4 − π) cm²
1 अंक · 2024 · सेट E
प्रश्न 102
If 4 men and 7 women can do a work in 60 days, then in how many days will 8 men and 7 women finish the same work?
उत्तर देखें
सही उत्तर: (E) None of the above
1 अंक · 2024 · सेट E
प्रश्न 103
A man sells an article at a profit of 25%. If he had bought it at 20% and sold it for ₹10.50 less, he would have gained 30%. Then the cost price of the article is:
उत्तर देखें
सही उत्तर: (A) ₹50
1 अंक · 2024 · सेट E
प्रश्न 104
A man rows 30 km downstream and 18 km upstream, taking 5 hours each time. Then the velocity of the current is:
उत्तर देखें
सही उत्तर: (B) 1.2 km/h
1 अंक · 2024 · सेट E
प्रश्न 105
The ratio of water added to spirit to gain 25% by selling it at cost price is:
उत्तर देखें
सही उत्तर: (A) 1:4
1 अंक · 2024 · सेट E
प्रश्न 106
If 11 pencils are bought for ₹10 and 10 pencils are sold for ₹11, then the gain is:
उत्तर देखें
सही उत्तर: (C) 21%
1 अंक · 2024 · सेट E
प्रश्न 107
If each dimension of a rectangle is increased by 100%, then its area is increased by:
उत्तर देखें
सही उत्तर: (B) 300%
1 अंक · 2024 · सेट E
प्रश्न 108
The height of a cone is 4.8 cm and the diameter of its base is 4 cm. Its slant height is:
उत्तर देखें
सही उत्तर: (B) 5.2 cm
1 अंक · 2024 · सेट E
प्रश्न 109
If the perimeter of a circle is equal to the perimeter of a square, then the ratio of their areas is:
उत्तर देखें
सही उत्तर: (A) 14:11
1 अंक · 2024 · सेट E
प्रश्न 110
The mean of five numbers is 18. If one number is excluded, their mean is 16. Then the excluded number is:
उत्तर देखें
सही उत्तर: (B) 26
1 अंक · 2024 · सेट E
प्रश्न 111
If 80% of A = 50% of B and B = x% of A, then the value of x is:
उत्तर देखें
सही उत्तर: (C) 160
1 अंक · 2024 · सेट E
प्रश्न 112
The perimeter of a rhombus is 100 cm. If one of its diagonals is 14 cm, then its area is:
उत्तर देखें
सही उत्तर: (C) 336 cm²
1 अंक · 2024 · सेट E
प्रश्न 113
The product of two numbers is 120 and the sum of their squares is 289. Then the sum of the two numbers is:
उत्तर देखें
सही उत्तर: (A) 23
1 अंक · 2024 · सेट E
प्रश्न 114
A 120 m long train is travelling at a speed of 90 km/h. It will cross a 230 m long railway platform in:
उत्तर देखें
सही उत्तर: (E) None of the above
1 अंक · 2024 · सेट E
प्रश्न 115
The area of the ring between two concentric circles whose circumferences are 88 cm and 132 cm is:
उत्तर देखें
सही उत्तर: (B) 770 cm²
1 अंक · 2024 · सेट E
प्रश्न 116
The perimeter of an equilateral triangle having area 400√3 m² is:
उत्तर देखें
सही उत्तर: (A) 120 m
1 अंक · 2024 · सेट E
प्रश्न 117
If the radius and height of a right circular cone are increased by 20%, then its volume will be increased by:
उत्तर देखें
सही उत्तर: (A) 72.8%
1 अंक · 2024 · सेट E
प्रश्न 118
The internal bisectors of ∠A, ∠B and ∠C of triangle ABC meet at O. If ∠A = 80°, then the value of ∠BOC is:
उत्तर देखें
सही उत्तर: (B) 130°
1 अंक · 2024 · सेट E
प्रश्न 119
On a sum of money, the difference between simple interest and compound interest is ₹15 in 2 years at 5% per annum. Then the amount is:
उत्तर देखें
सही उत्तर: (A) ₹6,000
1 अंक · 2024 · सेट E
प्रश्न 120
A tank has two taps A and B. Tap A can fill it in 5 minutes and tap B can empty it in 10 minutes. If both taps are open simultaneously, the tank will fill in:
उत्तर देखें
सही उत्तर: (A) 10 minutes
1 अंक · 2024 · सेट E
प्रश्न 121
A train passes a pole in 8 seconds and a 120-metre-long platform in 20 seconds. The length of the train is:
उत्तर देखें
सही उत्तर: (A) 80 m
1 अंक · 2024 · सेट E
प्रश्न 122
In a parallelogram:
उत्तर देखें
सही उत्तर: (D) More than one of the above
1 अंक · 2024 · सेट E
प्रश्न 123
The present population of a town is 1,76,400. If the rate of increase is 5% per annum, its population after two years will be:
उत्तर देखें
सही उत्तर: (C) 1,94,481
1 अंक · 2024 · सेट E
प्रश्न 124
The simple interest on a principal is 9/10 of itself after 4½ years. Then the rate of interest is:
उत्तर देखें
सही उत्तर: (A) 20%
1 अंक · 2024 · सेट E
प्रश्न 125
Two men and three boys can do a work in 6 days, and 8 men and 5 boys can do the same work in 2 days. The working ratio of a man to a boy is:
उत्तर देखें
सही उत्तर: (B) 2:1
1 अंक · 2024 · सेट E
प्रश्न 126
A cone, a hemisphere and a cylinder have the same base and equal height. The ratio of their volumes is:
उत्तर देखें
सही उत्तर: (B) 1:2:3
1 अंक · 2024 · सेट E
प्रश्न 127
The number of years required for the compound interest on ₹1,000 at 10% to become ₹210 is:
उत्तर देखें
सही उत्तर: (B) 2 years
1 अंक · 2024 · सेट E
प्रश्न 128
If the interior angles of a regular polygon are ten times its exterior angles, then the number of sides of the polygon is:
उत्तर देखें
सही उत्तर: (C) 22
1 अंक · 2024 · सेट E
प्रश्न 129
After a rebate of 12.5% on the selling price of ₹12,560, the goods should be sold at:
उत्तर देखें
सही उत्तर: (C) ₹10,990
1 अंक · 2024 · सेट E
प्रश्न 130
Two chords of a circle of radius 8 cm are each 6 cm long. If one chord is at a distance of 3.5 cm from the centre, then the other is at a distance of:
उत्तर देखें
सही उत्तर: (C) 3.5 cm
1 अंक · 2024 · सेट E
प्रश्न 131
How many rods of diameter 10 cm and length 1.4 m will be formed by melting a rod of radius 7 cm and length 10 m?
उत्तर देखें
सही उत्तर: (A) 14
1 अंक · 2024 · सेट E
प्रश्न 132
The side of a regular hexagon is 8 m. Then its area is:
उत्तर देखें
सही उत्तर: (C) 96√3 m²
1 अंक · 2024 · सेट E
प्रश्न 133
If the length of a cylindrical pipe is 70 cm and its diameter is 2.2 cm, and 1 cm³ of the pipe weighs 10 g, then its weight is:
उत्तर देखें
सही उत्तर: (A) 2662 g
1 अंक · 2024 · सेट E
प्रश्न 134
The product of the roots of the quadratic equation 2x² + 5√3x + 6 = 0 is:
उत्तर देखें
सही उत्तर: (B) 3
1 अंक · 2024 · सेट E
प्रश्न 135
If the diameter of a bicycle wheel is 70 cm, how far will it travel in 1,720 revolutions?
उत्तर देखें
सही उत्तर: (A) 3784 m
1 अंक · 2024 · सेट E
प्रश्न 136
On selling 20 chairs, Hari gets a profit equal to the selling price of 5 chairs. The percentage gain is:
उत्तर देखें
सही उत्तर: (A) 33⅓%
1 अंक · 2024 · सेट E
प्रश्न 137
A conical tent of height 24 m and base radius 7 m is to be covered with cloth 50 m wide. What length of cloth is required?
उत्तर देखें
सही उत्तर: (B) 11 m
1 अंक · 2024 · सेट E
प्रश्न 138
The compound interest on an amount for 2 years at 4% per year is ₹2,448. Then the simple interest on that amount at the same rate for the same 2 years is:
उत्तर देखें
सही उत्तर: (B) ₹2,400
1 अंक · 2024 · सेट E
प्रश्न 139
In 200 litres of a milk-and-water mixture, the amount of water is 15%. How much milk must be added so that milk is 87.5% of the resulting mixture?
उत्तर देखें
सही उत्तर: (C) 40 litres
1 अंक · 2024 · सेट E
प्रश्न 140
Three metallic balls of radii 6 cm, 8 cm and r cm are melted to form a new ball of radius 12 cm. The value of r is:
उत्तर देखें
सही उत्तर: (A) 10 cm
1 अंक · 2024 · सेट E
प्रश्न 141
A and B can complete a work in 12 days and 15 days respectively. They work together for 4 days, then A leaves. In how many days will B complete the remaining work?
उत्तर देखें
सही उत्तर: (C) 6 days
1 अंक · 2024 · सेट E
प्रश्न 142
If the price of sugar increases by 25%, by what percentage must a consumer reduce sugar consumption to avoid increasing expenditure?
उत्तर देखें
सही उत्तर: (B) 20%
1 अंक · 2024 · सेट E
प्रश्न 143
A square of area 121 cm² is made from a copper wire. If the same wire is made into a circle, its radius is:
उत्तर देखें
सही उत्तर: (A) 7 cm
1 अंक · 2024 · सेट E
प्रश्न 144
If the radius of a circle is increased by 50%, then its area will increase by:
उत्तर देखें
सही उत्तर: (C) 125%
1 अंक · 2024 · सेट E
प्रश्न 145
The areas of two similar triangles are 81 cm² and 49 cm² respectively. The ratio of their corresponding heights is:
उत्तर देखें
सही उत्तर: (B) 9:7
1 अंक · 2024 · सेट E
प्रश्न 146
What is the cost of digging a tube well 280 m deep and 3 m in diameter at ₹3.60 per cubic metre?
उत्तर देखें
सही उत्तर: (A) ₹7,128
1 अंक · 2024 · सेट E
प्रश्न 147
What number should be added to each term of the ratio 49:68 to make it 6:7?
उत्तर देखें
सही उत्तर: (A) 65
1 अंक · 2024 · सेट E
प्रश्न 148
If 40% of 25% of a number is 80, then 60% of the number is:
उत्तर देखें
सही उत्तर: (A) 480
1 अंक · 2024 · सेट E
प्रश्न 149
A, B and C together complete a work in 30 days, while A and B together complete it in 50 days. In how many days will C alone complete it?
उत्तर देखें
सही उत्तर: (B) 75 days
1 अंक · 2024 · सेट E
प्रश्न 150
The present ages of a father and son are in the ratio 5:2. If the difference in their ages is 27 years, what will the father’s age be after 6 years?