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Q1 / 25
2.00 marks
Find the capacity (correct up to two decimals) of a bucket whose height is 24 cm and diameter of the ends are 30 cm and 10 cm.
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Q2 / 25
2.00 marks
If A = √1444 + √961 and B = √441 - √256, then what is the value of √(A - B)?
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Q3 / 25
2.00 marks
In ∆XYZ, XU and YV are medians and they intersect each other at point T at 90°. If YV = 24 cm and XU = 18 cm, then what is the length of side XY of the ∆XYZ?
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Q4 / 25
2.00 marks
To finish a project, efficiencies of P, Q and R are in the ratio 4: 6: 5 respectively. P starts working first. After 4 days, R joined him and after next 4 days Q also joined. If the project was finished in a total of 12 days, then in how much time P alone could have finished the project?
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Q5 / 25
2.00 marks
The given table shows the number of books available on different stores. Stores Number of Books S1 240 S2 380 S3 290 S4 340 S5 420 What is the ratio of the number of books in store S1 to the average of total number of books from all stores together?
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Q6 / 25
2.00 marks
A quadrilateral other than Square whose diagonals bisect each other at right angles is
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Q7 / 25
2.00 marks
Due to financial instability, rate of inflation has become 1000%. If an object costs Rs 10 today, what will it cost 3 years from now? [rate of Inflation means: a general percentage increase in price of any object in a year]
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Q8 / 25
2.00 marks
In the figure given below, O is the centre of circle, PO = 25 cm and PT = 24 cm. Find the length of a chord of the circle which is √13 cm far from the centre.
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Q9 / 25
2.00 marks
What is the unit digit in the expansion of (45678) 9 X 10 X 11 ?
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Q10 / 25
2.00 marks
A sold an item to B at the price 10/7 th of the price at which he purchased it, while B sold it to C at the price 14/11 th of the price at which he purchased it. If C purchased the item at Rs.16800, then find the difference between purchase price of item for A and that for B.
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Q11 / 25
2.00 marks
The base of a prism is a triangle with sides 28 cm, 45 cm, and 53 cm. If its lateral surface area is 5544 cm 2 , then find its volume.
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Q12 / 25
2.00 marks
If a circle whose centre is (5, 7) touches the line 6x + 8y - 5 = 0, then find the radius of the circle.
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Q13 / 25
2.00 marks
If the sales tax be reduced from 2(1/2)% to 2(1/3)%, then what difference does it make to a person who purchases an article with marked price of Rs. 6600?
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Q14 / 25
2.00 marks
A dishonest shopkeeper sells sugar at Rs. 22/kg which he has bought at Rs. 10/kg and he is giving 750 gm instead of 1000 gm. Find his actual profit percentage.
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Q15 / 25
2.00 marks
If tanA = x - 1 _________ 4x , then what is the value of (secA - tanA)?
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Q16 / 25
2.00 marks
If cosθ = √3/2 and θ is acute, find cos3θ.
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Q17 / 25
2.00 marks
A delivery van travels a distance (d) that varies directly with the time (t) taken. If the van covers 108 km in 3 hours, what is the equation relating d and t?
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Q18 / 25
2.00 marks
Nishu lends (17/24) th part of Rs.12000 to Arun at 12% rate of simple interest for 2 years and rest of the amount to Sanam at 9% rate of simple interest for 2 years. Find the difference between the total amount that Nishu gets from Arun and that from Sanam after 2 years.
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Q19 / 25
2.00 marks
The side of an equilateral triangle is 4√3 cm. What is the radius of the circle circumscribing this equilateral triangle?
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Q20 / 25
2.00 marks
Three circular object of radius 13cm are kept touching each other. The string is tightly tied around the three circular object. What is the length (in cm) of the string?
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Q21 / 25
2.00 marks
Which of the following statement is correct? A) If A = 9, B = -3, and C = -6, then the value of A 3 + B 3 + C 3 is 486. B) If 2A + B = 36, and 2AB = 48, then the value of 4A 2 + B 2 is 1200.
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Q22 / 25
2.00 marks
Is the number 7629016832 divisible by 11?
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Q23 / 25
2.00 marks
A road has to be constructed in 90 days and 80 workers were hired to complete the job. After all the hired workers worked for half of the decided time, only one-third part of the job was done. How many more workers will now join the work to complete the work on time?
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Q24 / 25
2.00 marks
Find the surface area (in sq. cm) of a sphere whose volume is 310464 cubic cm. Use π = 22/7
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Q25 / 25
2.00 marks
A thief is chased by police and caught. The thief was 50 m ahead of the police and the speeds of the thief and the police are 9.5 m/s and 14.5 m/s, respectively. Which of the following statements is/are true? (A) Distance traveled by the police is 145 km. (B) Time taken by police to caught the thief is 10 sec.
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