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Q1 / 25
2.00 marks
If A: B = 2: 5, and average of A and B is 21 then find the value of A.
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Q2 / 25
2.00 marks
Which of the following numbers has a terminating decimal?
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Q3 / 25
2.00 marks
A train covers the first 120 km at a speed of 60 km/h. Due to maintenance work, it reduces its speed by 50% for the next 90 km. What is the total time taken for the complete journey?
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Q4 / 25
2.00 marks
Mr. A took a loan of Rs.36000 on simple interest for 3.5 years at the rate of 6% per annum. The amount he will be paying as simple interest in 3.5 years is what percent of Rs.21000?
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Q5 / 25
2.00 marks
A rectangular garden is 30 m long and 20 m wide. A rocky path 5 m wide is constructed outside the garden. Find the area of the rocky path.
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Q6 / 25
2.00 marks
Find the sum of simple and compound interest received after two years at 20% interest on ₹9000.
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Q7 / 25
2.00 marks
Pipe P and pipe Q together can fill a tank in 30 hours. Pipe P, pipe Q, and Pipe R together can fill the tank in 20 hours. Pipe R and pipe Q together can fill the same tank in 36 hours. If the efficiency of pipe S is 125% more than the efficiency of pipe P, then find the time pipe S takes to fill the same tank.
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Q8 / 25
2.00 marks
If X alone can do a work in 14 days, Y alone can do the same work in 20 days, and Z alone can do the same work in 140 days. They jointly complete the work and earn Rs.3600. What is the share of Z?
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Q9 / 25
2.00 marks
What is the total volume of the pyramid having a height of 18 cm and having an equilateral triangular base of 10 cm side?
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Q10 / 25
2.00 marks
The total surface area of a cube increases by 69% when its side is increased. By what percent was the side increased?
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Q11 / 25
2.00 marks
A man is standing on the deck of a ship, which is 10m above water level. He observes the angle of elevation of the top of a light house as 60°, and the angle of depression of the base of lighthouse as 30°. Find the height of the lighthouse.
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Q12 / 25
2.00 marks
Which of the following can be express as the sum of two prime numbers?
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Q13 / 25
2.00 marks
Which of the following statement is/are false? (a) Circles are congruent to each other if they have equal radii. (b) Radius is the longest chord of a circle
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Q14 / 25
2.00 marks
The slope of a line is equal to the slope of the line joining the points (2, 7) and (5, 1). If the line passes through the point (8, -4), what is its equation?
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Q15 / 25
2.00 marks
A flower vase is marked at 42% above the cost price and sold at a discount of 25%. Find the overall profit or loss percentage.
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Q16 / 25
2.00 marks
The perimeter of a rectangle is equal to the circumference of a circle of radius 49 cm. If the ratio of the length to the breadth of the rectangle is 9:5, then find the area of the rectangle. Use π = 22/7.
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Q17 / 25
2.00 marks
What is the value of √(27 + 10√2) - (4 + √2)?
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Q18 / 25
2.00 marks
A man's wage was reduced by 60%. Again the reduced wage was increased by 60%. Find his loss in terms of percentage.
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Q19 / 25
2.00 marks
In the following figure, PQ and PR are tangents to the circle. What is the length of PQ?
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Q20 / 25
2.00 marks
A invests Rs. 18000 for 12 months. B invests Rs. 24000 for t months. C invests Rs. 15000 for 8 months. If B's share equals A's share, find t.
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Q21 / 25
2.00 marks
In triangle LMN, the coordinates of the vertices are L(2k + 1, -3), M(-5, 12), and N(10, 6). If the centroid of the triangle is (4, 5), then find the value of k.
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Q22 / 25
2.00 marks
If a + b = 4 and ab = -21, then what is the value of a 3 + b 3 ?
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Q23 / 25
2.00 marks
If tan A = 5, then find the value of: 4 sin 2 A + 5 cos 2 A _________ sin A cos A + 10 cosec A cos 3 A
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Q24 / 25
2.00 marks
A cylindrical metal rod of radius 8 cm and height 160 cm is melted and recast into identical solid spheres, each of radius 4 cm. If 25% of the metal is lost during recasting, how many spheres are obtained?
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Q25 / 25
2.00 marks
A mixture of 600 L contains milk and water in the ratio of 1: 2 respectively. If X L of the mixture is taken out and 60 L milk is mixed, then the ratio of the mixture of milk to water is 7: 10. Find the value of X
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