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Q1 / 252.00 marks
An isosceles triangle is formed using the two radii in a circle of radius 7 cm and the length of the chord connecting the two points is 13 cm. What is the area of the circular portion excluding the isosceles triangle?
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Q2 / 252.00 marks
After 7 tests, a student's average is 45. What must be the score in the 8th test to raise the average by 20% of the current average?
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Q3 / 252.00 marks
Chitra and Deepak invest in a business in the ratio 5: 3. After 8 months, Deepak withdraws half his investment. At year-end, profit is ₹120,000, and Deepak receives a 10% commission before sharing the remainder. What is Chitra's share?
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Q4 / 252.00 marks
To do a work together, A and B got Rs.924 as wages in total. What is the share of A if he is 4/3 times as efficient as B?
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Q5 / 252.00 marks
A man's wage was reduced by 40%. Again the reduced wage was increased by 40%. Find his loss in terms of percentage.
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Q6 / 252.00 marks
What is the reflection of the point (2, - 3) across the X-axis?
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Q7 / 252.00 marks
A chord of length 24cm is drawn in a circle of radius 15cm. The least distance from any point on the chord to the centre of the circle will be:
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Q8 / 252.00 marks
The diameter of the circle in which a central angle of 36° intercepts an arc of length 8 cm is -
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Q9 / 252.00 marks
A invests ₹40000 initially and adds ₹10000 after 4 months. B invests ₹50000 for the whole year. If profit is ₹29000, what is A's share?
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Q10 / 252.00 marks
In a circular plot of radius 105 m, a path of uniform width all round its inside border with an area of 4466 sq m is constructed. The width of the path is
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Q11 / 252.00 marks
On a sum of ₹10,000, the compound interest for the first year is ₹1,000 and for the second year is ₹1,100. What is the annual rate?
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Q12 / 252.00 marks
A company spends its monthly transport budget on fuel, maintenance, and toll charges in the ratio 3 : 5 : 2. In the next month, fuel cost increases by 20%, maintenance cost decreases by 10%, and toll charges increase by 5%. What is the overall percentage change in the total transport expenditure?
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Q13 / 252.00 marks
In what proportion must tea at Rs.61 per kg be mixed with tea at Rs.89 per kg, so that the mixture may be worth Rs.69 per kg?
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Q14 / 252.00 marks
Find the value of cosec 2 A tan 2 A - 1.
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Q15 / 252.00 marks
The value of √(28 + 10√3) - √(7 - 4√3) is closest to:
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Q16 / 252.00 marks
If the surface area of a sphere is 200π cm 2 , what is its radius?
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Q17 / 252.00 marks
What number is subtracted from each of 20, 24, 32 and 40, such that all are in proportion in same order?
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Q18 / 252.00 marks
A triangle is impossible if the ratio of its sides is:
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Q19 / 252.00 marks
Cheap and best, a kirana shop bought some apples at 4 per rupee and an equal number at 5 per rupee. He then sold the entire quantity at 9 for 2 rupee. What is his percentage profit or loss?
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Q20 / 252.00 marks
A principal triples itself in 15 years at simple interest. How many years will it take to amount to four times itself at the same rate?
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Q21 / 252.00 marks
A merchant bought two articles for Rs. 8500 each. He sold one article at a loss of 12%. At what price (in Rs.) should he sell the other article to earn a profit of 16% overall?
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Q22 / 252.00 marks
A dealer imports tea at ₹200/kg, pays 15% import duty and 5% transport on cost price, marks at ₹400/kg, sells at 10% discount. What is his profit %?
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Q23 / 252.00 marks
Find the positive value of
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Q24 / 252.00 marks
The distance covered by a bus in (t - 4) hours is 4(5t + 1) km. If the speed of the bus is 32 km/h, then find the value of 't'.
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Q25 / 252.00 marks
The average of the square of first 13 even natural numbers is:
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