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Q1 / 25
2.00 marks
A circular pond is constructed inside a square park such that the pond touches all four sides of the park. If the side of the square park is 50 m, find the area of the walkway between the pond and the park.
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Q2 / 25
2.00 marks
If the ratio of principal and simple interest for 1 year is 20: 3, then the rate of interest is:
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Q3 / 25
2.00 marks
If cos A = 3/5 and sin B = 5/13, where A and B are acute angles, find tan (A + B).
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Q4 / 25
2.00 marks
The number of diagonals in a 27-sided polygon is
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Q5 / 25
2.00 marks
The area of โณ ABC is 44 cm 2 . If D is the midpoint of BC and E is the midpoint of AB, then the area (in cm 2 ) of โณ BDE is:
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Q6 / 25
2.00 marks
A alone can complete a job in 40 days. He is twice as fast as B while B is thrice as fast as C. If all of them work together, in how many days would the job get completed?
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Q7 / 25
2.00 marks
what is the value of 'x 2 ' if:
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Q8 / 25
2.00 marks
A signal tower of height 186 m is used for monitoring traffic. From the top of the tower, the angles of depression of two vehicles on opposite sides of the tower are 30ยฐ and 60ยฐ. Find the distance between the two vehicles.
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Q9 / 25
2.00 marks
In what ratio must a grocer mix two types of sugar costing Rs. 18/kg and Rs. 25/kg, so that the resultant mixture costs Rs. 21/kg?
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Q10 / 25
2.00 marks
If tanฮธ = 9 + 4โ5, then find the value of cosecฮธsecฮธ.
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Q11 / 25
2.00 marks
A and B started a business with the investment of Rs.500 and Rs.450 respectively. At the end of 4 months, A withdraws 50% of his investment and at the end of 6 months, B invested Rs.50 more and C joined A and B with an investment of Rs.600. Find the total profit at the end of the year if the share of B in profit is Rs.34200.
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Q12 / 25
2.00 marks
If the maximum length of any rod that can be placed in a cube is x . What does x 2 represent?
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Q13 / 25
2.00 marks
The coefficient of y in ( x โ 3y) 3 is:
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Q14 / 25
2.00 marks
A coastal ferry completes its run in 10 h at 36 km/h. To finish the same run in 8 h, by what percent must the speed be increased?
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Q15 / 25
2.00 marks
Average of 9 consecutive odd numbers is 21. Find the sum of smallest, second smallest and largest number.
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Q16 / 25
2.00 marks
By how much is 70% of 80 is less than ยผ of 260?
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Q17 / 25
2.00 marks
Find the value of 168 * 168.
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Q18 / 25
2.00 marks
The measure of an angle subtended by an arc at the centre of a circle is -
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Q19 / 25
2.00 marks
A grocer buys rice at โน30/kg and wheat at โน20/kg. He sells rice at โน36/kg and wheat at โน18/kg. If he sells equal quantities, what is his overall profit %?
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Q20 / 25
2.00 marks
The number that should be subtracted from 610 and 928 to get 53 as the GCD is:
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Q21 / 25
2.00 marks
What is the value of x if x: p/q :: q/c: r/c
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Q22 / 25
2.00 marks
Each of the questions below consists of a question and two statements given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Jagat bought two clothes for his tailoring shop. Of the two clothes A and B, which cost him more? (A) He bought 39m of cloth A and 91m of cloth B. (B) 28m of cloth B costs more than 10m of cloth A.
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Q23 / 25
2.00 marks
Find the area of the triangle whose coordinates of vertices are (1, 5), (3, 6), and (-8, -3).
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Q24 / 25
2.00 marks
ฮABC and ฮDCB are on same base BC such that ฮABC โ
ฮDCB. If DB โ BC and AC = BC, then what is the value of CD?
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Q25 / 25
2.00 marks
A right prism has a base in the shape of a rightโangled triangle. The two legs of the triangle measure 48 cm and 96 cm. The prism's height is 15 cm, and the material has a density of 5 g/cm 3 . Find the weight of the prism in kilograms.
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