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Q1 / 25
2.00 marks
5 3 - 0 2 + 24 2 _________ 2 2 - 10 + 6 x 5 = ?
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Q2 / 25
2.00 marks
In the following question, a problem is followed by two statements numbered I and II. You have to determine whether the data provided in the statements is sufficient to answer the question What will be the selling price of the item if the profit amount earned is Rs. 100? I. A shopkeeper marked the price of that item up by 30% on the cost price and offered a discount of Rs. 170. II. Profit per cent earned after selling the article is 11 1 ⁄ 9 % and the total marked up amount is Rs. 270 on the cost price.
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Q3 / 25
2.00 marks
Anil buys a watch for Rs.2300, sells it for Rs.2700, buys it again for Rs.2400 and sells it back for Rs.2900. Find the amount of loss/profit.
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Q4 / 25
2.00 marks
A bike covers a certain distance at a certain time at the speed of 64 km/hr. If at the speed of 72 km/hr, the bike covers 40 km more at the same time, then find the original distance (in km) covered by the bike.
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Q5 / 25
2.00 marks
A starts a business with Rs. 75000 and B joins the business 5 months later with an investment of Rs. 90000. After 1 year, they earn a profit of Rs. 40885. Find the share of A and B respectively (in Rs.).
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Q6 / 25
2.00 marks
A and B are two prime numbers, A > B, and their LCM is 899. Find B − A + 2AB.
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Q7 / 25
2.00 marks
Find the value of θ. If (π/2 < θ < π) and sin θ = 1/√2.
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Q8 / 25
2.00 marks
The difference between the value of a number increased by 30% and the value of the original number decreased by 20% is 25. What is the original number?
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Q9 / 25
2.00 marks
The simple interest on Rs. 6250 at 23% rate of interest for 4 years is:
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Q10 / 25
2.00 marks
The ratio of present age of A and B is 7:11 respectively. Four years ago, the age of A was 3/5 of the age of B. Find the present age of B.
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Q11 / 25
2.00 marks
Raju is 30% more efficient than Ram, and Shyam is 40% more efficient than Raju. Find the number of days taken by Shyam to complete a work, if the same work is completed by Ram in 91 days.
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Q12 / 25
2.00 marks
The price of the car decreased by 18% and then increased by 48%, due to enlargement in sales. Find the net percentage change in the final price of the car.
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Q13 / 25
2.00 marks
Triangle XYZ is a right - angle triangle with ∠Y = 90°. If cos X = 8/17, then sin X + cos Y + tan Z will be equal to?
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Q14 / 25
2.00 marks
A jar contains 50 L of water. 5 L of water is taken out of it and replaced by the same quantity of milk. After that 20 L of the mixture is replaced by the same quantity of liquid X. Find the respective ratio of water, liquid X, and milk in the final mixture.
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Q15 / 25
2.00 marks
The curved surface area of a cylinder and a cone of equal radius is X sq. cm and Y sq. cm respectively. If X = Y and slant height of cone is A cm, then the height of cylinder is:
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Q16 / 25
2.00 marks
If ratio of total amount on a certain sum after 8 years and 11 years is 1000: 1331 when compounded annually. Find the ratio of simple interest to compound interest on the same sum after 3 years at same rate of interest.
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Q17 / 25
2.00 marks
P and Q together can finish a work in 32 days and Q alone finishes the same work in 56 days. In how many days P alone can finish the same work?
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Q18 / 25
2.00 marks
Rs. 1870 was distributed among A, B and C in the ratio of 5 : 4 : x. Find the value of 'x' if amount received by B is Rs. 680.
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Q19 / 25
2.00 marks
Find the value of:
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Q20 / 25
2.00 marks
If sums of the radii and distance between the centers of two circles are equal, then:
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Q21 / 25
2.00 marks
A circle is inscribed in a ∆PQR. A line through external point P and center O intersects the circle at M and C. If PQ = 40 cm, QC = 25 cm, and PM = 10 cm, then find the length of radius of circle.
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Q22 / 25
2.00 marks
Two items are purchased in ratio 3:5. The first is sold at 20% profit, the second at 10% profit. If total profit is ₹330, what was the cost-price of the first item?
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Q23 / 25
2.00 marks
A large cylindrical water tank, open at the top, needs to be lined with waterproof fabric on its inner curved surface and inner base. The tank has a radius of 2.5 m and a height of 4 m. If the waterproof fabric comes in square sheets of side 40 cm and 12% extra fabric for wastage and fitting, how many approximate fabric pieces should be purchased?
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Q24 / 25
2.00 marks
A mixture of 63 litres contains milk and water in the ratio of 2:5, respectively. If 7 litres of the mixture is taken out and replaced with 9 litres of milk, then find the quantity of milk in the final mixture.
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Q25 / 25
2.00 marks
Which option with given sides forms a triangle?
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