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Q1 / 252.00 marks
If cot ψ = 5/12 and ψ is acute, what is the value of 4 sec ψ − 3 cot ψ?
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Q2 / 252.00 marks
If p = (√6 - √5) and q = (√10 + √3), then what is the value of (p 2 + q 2 )/4?
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Q3 / 252.00 marks
If the distance between two points A(7, 3) and B(15, 2X) is 17 unit, then find the value of X, where X is a positive integer.
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Q4 / 252.00 marks
9/25 th part of the work done by Garva and Sarva together in 18 days, while Alok alone can complete the whole work in 300 days. If Sarva is 33 1 ⁄ 3 % more efficient than Alok, then Garva alone can complete 7/10 th part of the work in how many days?
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Q5 / 252.00 marks
The base of a right prism is a trapezium whose the length of parallel sides are 23 cm and 12 cm and the perpendicular distance between the parallel sides is 14 cm. If the height of the prism is 18 cm, then the volume of the prism is:
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Q6 / 252.00 marks
Train P starts running from station A towards station B with the speed of 42 km/h at 4:00 PM. Train Q starts running from station B towards station A with the speed of 46 km/h at 5:30 PM. If the distance between two stations is 327 km, Find the respective ratio of distance travelled by train P and train Q when they meet each other.
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Q7 / 252.00 marks
What come in place of ? to satisfy the equation: (1/4 of 256) + (5 2 X 2) - √? = 30
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Q8 / 252.00 marks
If a person invested Rs. 20000 in a compound interest at a 12% rate of interest compounded annually for 2 years, then find the compound interest received by the person.
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Q9 / 252.00 marks
In a regular polygon, the ratio of each exterior angle to each interior angle is 2: 13. How many sides does the polygon have?
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Q10 / 252.00 marks
In ∆UST, A and B are points on sides ST and SU, respectively, such that ∠UTS is equal to ∠ABS, and length of SA = 6/5 times of length of AT. If length of SU = 44 cm, and length of SB = 18 cm, then find the length of ST.
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Q11 / 252.00 marks
If 5 is added to each of (2p - 4), (2p - 2), (2p + 2) and (2p + 8), then the numbers obtained in this order, are in proportion. What is the value of (3p + 7)?
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Q12 / 252.00 marks
The ratio of cost of item A and item B is 11:17 respectively. The cost of item A is 25% more than the cost of item C. If total cost of all three items together is ₹6440, then what is the cost of item C?
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Q13 / 252.00 marks
A circle and a square have the same perimeter of 88 m. Find the area of the square.
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Q14 / 252.00 marks
A shopkeeper bought some articles for the same price for a total of Rs. 2000. If he sold 1/3 rd of the articles at 21% profit, then at what percent should he sell the remaining to obtain an overall profit of 16%?
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Q15 / 252.00 marks
A vessel contains 15 L of a mixture of milk and water in the ratio 2:3. If 6 L of this mixture is removed and replaced with pure milk, then find the percentage of milk in the final mixture.
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Q16 / 252.00 marks
What is the smallest positive number that must be added to the product of any two consecutive multiples of 4 to make the result a perfect square?
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Q17 / 252.00 marks
In a ∆KLM, points P and Q are on KL and KM, respectively, such that KP = 16 cm, PL = 4 cm, KQ = 10 cm and QM = 2.5 cm. If PQ = 8 cm, then the value of LM.
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Q18 / 252.00 marks
A regular hexagon is inscribed inside a circle of radius 10 cm. Find the area of the hexagon.
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Q19 / 252.00 marks
In ∆XYZ, AX is the bisector of ∠YXZ, meeting YZ at A. If XZ = 40 cm, YZ = 21 cm and the length of YA is 5 cm more than AZ, then the length of side XY is:
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Q20 / 252.00 marks
Which is a mixed recurring decimal?
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Q21 / 252.00 marks
If sin(x + 15°) = cos(2x - 15°) and 0° < x < 90°, then x = _____.
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Q22 / 252.00 marks
A reduction of 28% in the price of sugar enables a person to buy 4 kg more for Rs. 240. What is the original price per kg?
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Q23 / 252.00 marks
P, Q and R invested ₹6000, ₹8400 and ₹5600 respectively to start a business. After 4 months, P withdraws ₹2800 and after next 6 months, Q withdraws ₹4000. If the profit share of P after one year is ₹7750, then find the share of Q and R together.
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Q24 / 252.00 marks
The difference between compound interest and simple interest is Rs2187 after 2 years at 15% rate of interest. Find the principal amount.
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Q25 / 252.00 marks
Radius of a circle inscribed in an equilateral triangle is 8√3 cm. What is the perimeter of the equilateral triangle?
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