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Q1 / 252.00 marks
Ramesh invests ₹50,000 and Suresh invests ₹80,000 for the first 4 months. After 4 months, Ramesh invests an additional ₹25,000 while Suresh withdraws ₹20,000 for the next 4 months. After 8 months, Suresh invests another ₹15,000 for the remaining 4 months. If total profit is ₹166,000 after one year, what is Suresh's share?
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Q2 / 252.00 marks
if XY = 7, then find 1 _________ 1 - Y - 7 _________ X - 7
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Q3 / 252.00 marks
What is the value of sin 2 39° + sin 2 51° + sec 2 35° - cot 2 55°?
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Q4 / 252.00 marks
In a triangle ABC, D is a point on BC such that AB/AC = BD/DC. If ∠B = 69.5° and ∠C is 18° less than ∠B, then the measure of ∠BAD is equal to:
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Q5 / 252.00 marks
What is the sum of unit digits of 239 51 and 722 78 ?
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Q6 / 252.00 marks
Which of the following is true regarding 'Incentre' of a triangle? A: Point of intersection of angle bisectors of the triangle. B: It is equidistant from all sides of triangle.
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Q7 / 252.00 marks
The average of 50 observations is 80. One observation was wrongly recorded as 72 instead of the correct value. If the corrected average becomes 80.16, what is the correct value?
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Q8 / 252.00 marks
If Sin θ + 1 _________ Sin θ = 313 _________ 156 , then find Cos θ + 1 _________ Cos θ
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Q9 / 252.00 marks
Ashish borrowed Rs. 64000 at 12 1 _________ 2 % per annum compounded half-yearly for 1 1 _________ 2 years. If he paid Rs. 48250 at the end of one year, then how much amount of money Ashish paid at the end of 1 1 _________ 2 years ?
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Q10 / 252.00 marks
In the given figure, O is the center of a circle. If OPQR is a rhombus, find the measure (in degrees) of ∠POR.
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Q11 / 252.00 marks
p = 2 + √3 and q = 2 - √3, then what is the value of 2pq + 1 _________ p + 1 _________ q
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Q12 / 252.00 marks
The average of 27 scores is 75. Each score is first decreased by 20% and then increased by 12. Find the new average.
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Q13 / 252.00 marks
After 80 kg of water had been evaporated from a solution of salt and water, which had 18% salt, the remaining solution had 30% salt. Find the weight of the original solution.
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Q14 / 252.00 marks
A right prism has an equilateral triangular base. If its lateral surface area is 1080 cm 2 ; and its volume is 1350√3 cm 3 , then find the length of one side of the base.
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Q15 / 252.00 marks
A cylinder is exactly fitted inside a cube in such a way that both the plane faces of the cylinder touch the opposite faces of the cube. If volume of cylinder is 2.156 m 3 and water is filled using a pipe in the remaining part of the cube and speed of pipe is 8 L/min, then what is the total time taken by pipe to fill the remaining part of the cube?
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Q16 / 252.00 marks
A container has 64 L of pure milk. 16 L is taken out and replaced with water. This operation is repeated once more. Find the final quantity of water (in L).
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Q17 / 252.00 marks
If 5 _________ 5 + A + 7 _________ 7 + B + 9 _________ 9 + C = 1, then find A _________ 5 + A + B _________ 7 + B + C _________ 9 + C
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Q18 / 252.00 marks
What is the difference between each interior and exterior angle of a regular polygon which has total 18 sides?
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Q19 / 252.00 marks
A circular surface with radius 12 cm is cut by a chord. The minor sector of the surface is painted with red colour at ₹5/cm 2 and major sector of the surface is painted with green colour at ₹4/cm 2 . If the ratio of the cost of painting the surface with red colour to the cost of painting the surface with green colour is 5:12, then find the difference between the area of the circular surface painted with red and green colour.
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Q20 / 252.00 marks
A shopkeeper allows two successive discounts of 24% and 20%. The shop has a reward points scheme that enables a customer to get free shopping worth Rs. 0.01 on every 1 reward point credited to the customer's account on previous purchases from the store. A customer decides to buy a laptop that is marked at Rs. 58000. What will be its net selling price if he has 46400 reward points to his credit?
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Q21 / 252.00 marks
Simplify the following expression: 4a + b _________ 3 - a - 4b _________ 6 + 5b
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Q22 / 252.00 marks
A and B are standing on the diametrically opposite ends of a circular track of length 1 km. Both start simultaneously at speeds of 24 m/sec and 30 m/sec in the same direction. After how many seconds would they meet for the first time anywhere on the path?
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Q23 / 252.00 marks
When the price of a product was decreased by 20%, the number of product sold increased by 10%. What was the effect on the total revenue?
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Q25 / 252.00 marks
Pipe A can fill a tank in 18 hours, and pipe B can fill it in 12 hours. Due to a leak, A and B together with the leak fill the tank in 9 hours. Find the time in which the leak alone can empty the full tank.
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