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Q1 / 252.00 marks
In triangles MNO and STU, MN = ST and ∠N = ∠T. The two triangles are congruent by the ASA (Angle-Side-Angle) criterion if:
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Q3 / 252.00 marks
A person drives with speed 80 km/hr reaches his destination in 5 hrs. If his speed is increased by a certain percentage, he reaches his destination 50 minutes earlier. By what percentage was his speed increased?
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Q4 / 252.00 marks
If 1/5 of a tank is filled in the morning, and 1/15 in the evening, what is the decimal of the tank that is not filled?
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Q5 / 252.00 marks
If the equations 5x + (k - 3)y + 5 = 0 and (k - 3)x + 5y - 7 = 0 are parallel, then find the value of 3k + 2 (k > 0).
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Q6 / 252.00 marks
In a watch shop, 62.5% of total watches are analogue watches and the rest are digital watches. If 30 digital watches are sold by the shopkeeper, then the number of analogue watches in the shop becomes 64% of total watches. How many watches were there in the shop initially?
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Q7 / 252.00 marks
The area of a rectangle is 3x 2 + 11x + 10. Find the perimeter of rectangle.
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Q8 / 252.00 marks
Angle made by a 16 cm long chord PQ at the centre of a circle is 60°. Find the diameter of the circle.
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Q9 / 252.00 marks
A quadrilateral ABCD circumscribes a circle. If AB = 8cm and CD = 5AB/4, then the value of BC + AD is:
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Q10 / 252.00 marks
If x = √a + 1 _________ √b and y = √a - 1 _________ √b , find x 3 - y 3 _________ 2
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Q11 / 252.00 marks
The area of the equilateral triangle is 6√3 cm 2 . Find the volume of the cone formed by rotating this triangle on its axis passing through the midpoint and one of the vertices?
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Q12 / 252.00 marks
A vessel contains a 240 L mixture of milk and water in a ratio of 5: 3. If 30 L of water is mixed then 45 L of the mixture is taken out and 5 L of milk is mixed, then find the ratio of the milk and water in the final mixture.
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Q13 / 252.00 marks
Find the range of the values of l, if the length of the sides of the triangle are 2l, (l-2) and 7 respectively.
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Q14 / 252.00 marks
A person invested a certain amount in compound interest for 2 years at a 15% rate of interest compounded annually. If compound interest received is Rs. 2979.9, then find the amount invested in compound interest.
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Q15 / 252.00 marks
If sin41° = 1/x, then find the value of cot49°.
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Q16 / 252.00 marks
A retailer offers a discount of 22% on the marked price of a table. Even after giving the discount, he earns a profit of 5.3%. If he gives 12% discount instead of 22% on the table marked for Rs. 5400, then what will be his profit percent? (correct to 1 decimal place)
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Q17 / 252.00 marks
If X is an irrational number and Y is zero, then X * Y is:
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Q18 / 252.00 marks
The average of 49 numbers was found to be 53. Later, it was detected that a number 72 was misread as 65. Find the correct average of the given number rounded off to two decimal places.
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Q19 / 252.00 marks
Two metallic spherical balls A and B are such that the radius of ball A is equal to two times of diameter of ball B. What is the ratio between the surface areas of A and B respectively?
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Q20 / 252.00 marks
A and B together can do a piece of work in 40 days, B and C together can do the same piece of work in 48 days while A and C together can do the same piece of work in 60 days to complete the work. Find the time taken by B to do the same piece of work, if B work with 1/7th time more efficiency, than actual efficiency.
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Q21 / 252.00 marks
The radii of the internal and external surfaces of a metallic spherical ball are 5 cm and 6 cm respectively. If this is melted and recast into a solid right circular cylinder of height 30 1 _________ 3 cm then the diameter of the base of the cylinder is :
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Q22 / 252.00 marks
A, B and C invest Rs.200000, Rs.150000 and Rs.100000 respectively. After 6 months C retires. If profit is Rs.120000 for a year, what is C's share?
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Q23 / 252.00 marks
Find the last two digits of 105 143 * 264 291 * 123 134
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Q24 / 252.00 marks
A sum was invested at R% simple interest per annum for 3 years. Had it been invested at (R + 5) % for the same time, it would have fetched Rs.420 more. The simple interest on the same sum for 4 2 _________ 3 years at 12% per annum is:
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Q25 / 252.00 marks
There are two numbers 9 and X such that the mean proportional of 9 and X is 15. Find the value of X.
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