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Q1 / 25
2.00 marks
Denis and Nadia bought a jeans each, paying an average amount of Rs. 650. Each of them also bought a trouser at an average price of Rs. 900. If Denis paid Rs. 100 more than Nadia, then how much did Nadia spend on her shopping?
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Q2 / 25
2.00 marks
In the given figure internal bisector angle of โ ACB and external bisector of โ ABC meets at point D. find โ BDC ?
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Q3 / 25
2.00 marks
Which of the following is a better deal for a customer? A. 10 successive discounts of 4% B. 1 whole discount of 40% C. 4 successive discounts of 10%
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Q4 / 25
2.00 marks
A invest Rs. 20,000 in a business, after 8 months B joined with Rs. 30,000. Find the ratio in which the profit amount should be divided among A and B respectively after a year.
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Q5 / 25
2.00 marks
The volumes of a sphere and a right circular cylinder having the same radius are equal. The ratio of the diameter of the sphere to that of the height of the cylinder is:
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Q6 / 25
2.00 marks
A toy is made by joining two equal semi - circle on one of the lengths of a rectangle. The length of the rectangle is equal to the sum of diameter of the semi - circles. If the perimeter of the toy is 182 cm and the breadth of the rectangle is 5 cm more than the radius of semi-circle, then what is the area of the toy?
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Q7 / 25
2.00 marks
In a bag, there are certain number of coins of Rs. 3, Rs. 5 and Rs. 7 in the ratio of 4: 9: 5. If in the bag, total amount of money is Rs. 552, then what is the total number of coins of Rs. 7?
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Q8 / 25
2.00 marks
Rakesh borrowed Rs. 48000 in two different parts and the interest paid at the rate of 20% on simple interest for two years is equal to the interest paid at the rate of 14 2 _________ 7 % on simple interest for two years. What is the difference between the sum of money borrowed in 20% and 14 2 _________ 7 %?
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Q9 / 25
2.00 marks
The expression cos 6 x +sin 6 x + 3cos 2 x sin 2 x is equal to
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Q10 / 25
2.00 marks
The radius of a circular park is 60 m. Find the cost of fencing it at โน3.5 per metre.
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Q11 / 25
2.00 marks
What is tanA + 1 _________ tanA + sin 2 A + 1 _________ 1 + tan 2 A equal to :
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Q12 / 25
2.00 marks
Two numbers are in the ratio of 12 : 20. The product of their LCM and HCF is 34560. Then the sum of the numbers will be:
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Q13 / 25
2.00 marks
The square root of any prime number greater than 3 is:
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Q14 / 25
2.00 marks
On Monday, Chintu gave some of his candies to his little brother and therefore he left with 24% of total number of candies he had initially. On Tuesday, he bought 20% more candies than he had initially on Monday and gave 25% more candies to his little brother than he gave on Monday and thus he left with x% more candies than on Monday. The value of X is closet to:
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Q15 / 25
2.00 marks
A car covers 46 km in 1/6 th of an hour, 50 km in 2/3 rd of that hour, and 25 km in 1/12 th of that hours. The average speed of the car (in km/h) over the entire journey is:
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Q16 / 25
2.00 marks
A frustum has a lowerโbase radius of 9 cm, an upperโbase radius of 3 cm, and its height equals half the sum of its radii. What is its volume?
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Q17 / 25
2.00 marks
Ranbir bought a Bike for Rs. 1,500 and spent Rs. 500 on its repair and sold it to Suraj at 20% profit. Suraj spent Rs. 600 on its design and sold it to Manish at a profit of Rs. 600. Find the profit percentage earned by Suraj.
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Q18 / 25
2.00 marks
Vessel A contains liquid M and liquid N in a ratio of 13: 8. Vessel B contains liquid M and liquid N in a ratio of 5: 9. If x litres mixture of A is mixed with y litres mixture of B, then the ratio of liquid M to N in the mixture becomes 11: 10. Find the ratio x:y.
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Q19 / 25
2.00 marks
Simplify: 18โ676 + 480 - 20% of 3000 2 4 _________ 7 รท 9 _________ 14 of 5 2 _________ 3
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Q20 / 25
2.00 marks
Two circles of equal radii are intersecting each other such that both the circles are passes through the centres of each other. If the length of the common chord to the circles is 42 cm, then find the radius of each circle.
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Q21 / 25
2.00 marks
A student's average score across three subjects is 85. If one subject score is increased by 10%, the new average becomes 87. What was the original score in that subject?
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Q22 / 25
2.00 marks
In triangle PQR, S is a point on QR and ST is parallel to QP. If QM and TN are perpendicular to PS, QM = 33 cm, and TN = 21 cm, then find RS: SQ.
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Q23 / 25
2.00 marks
If a = (โ6 - โ5), b = (โ5 - 2) and c = (2 - โ3), then which of the following is correct?
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Q24 / 25
2.00 marks
The compound interest on a certain sum in 2.5 years at 10% p.a., interest compounded yearly, is Rs.1,623. The sum is:
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Q25 / 25
2.00 marks
If A = 8 รท 8 x 8 of 1 x 8 รท 4 of 2, and 4 A = 2 2x , find the value of x.
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