Math – CTEVT – After SEE – LS
CTEVT (Scholarship) 2071 – Math
Dear ! This is CTEVT (Scholarship) 2071 – Math Quiz and it contains 23 questions.
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1. The marked price of an article is Rs.550. What is the selling price of it, if 10% discount is allowed?
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2. Find the probability of getting a face or an ace card from a pack of well-shuffled 52 playing cards.
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3. Find the value of 3m⁰-1/m⁰+1.
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4. The sum of three consecutive numbers is 54, them find the first two numbers.
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5. What is the HCF of x²-y², x²+2xy + y² and x³+y³?
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6. If n(A)=17, n(B)=8 and n(A∩B)=2, What is the value of n(B-A)?
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7. Simplify: 3³ᵃ⁺²-3³ᵃ⁺¹/6*27ᵃ
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8. If ∑fx=72+8k, x=6 and ∑f=16+k, find the value of k.
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9. A man of height 1.5m, standing 150m away from a pole, found the angle of elevation to be 45° while observing top of the pole. Find the height of the pole.
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10. If 4 is subtracted from the square of a number, the result is 21. Find the number.
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11. From a pack of number cards numbered from 1 to 15, a card is drawn at random. What is the probability of getting a card having a prime number?
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12. If the area of an equilateral triangle is 16√3 cm², find its perimeter.
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13. A 60 cm high cylinder with 14 cm diameter is cut vertically into two equal halves. What is the volume of a half part?
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14. 14,18,X+2, 30,32 are in ascending order. If the median of the data is 24, what is the value of x?
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15. The selling price of 2 pen is Rs.60 and the cost price of 4pens is Rs100. Find the profit or loss percent in business.
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16. The circumference of base of a cone is 44 cm and the sum of its radius and slant height is 32cm, what is the total surface area of the cone?
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17. Which is the formula of the total surface area of hemisphere?
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18. The area of a rhombus is 96 cm² and one of the diagonal is 12cm. Find the perimeter of the rhombus.
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19. Three spheres of radii 1cm, 6cm, and 8cm are melted and formed a single sphere. What is the radius of the new sphere so formed?
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20. What is the compound interest on Rs.2000 at the rate of 5% for 2 years?
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21. A and B can do a piece of work in 10 days and A alone can do it in 18 days. How much work can B do in 1 day?
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22. Find the third quartile of the given data: 50,40,55,60,61,70,49
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23. Solve: 1/3√2x-3 =2
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