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Q1 / 25
2.00 marks
A number 45189 is to be increased by the least possible integer so that it becomes divisible by 16, 27 and 35. Find that integer.
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Q2 / 25
2.00 marks
An 11 - digit number 1755384562X is divisible by 18. What is the value of X?
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Q3 / 25
2.00 marks
If a 80 _________ b 64 - b 64 _________ a 80 = 34, then find the value of a 80 _________ b 64 + b 64 _________ a 80
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Q4 / 25
2.00 marks
Select the correct option: Convert decimal 92 to binary.
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Q5 / 25
2.00 marks
The simple interest on a principal for 7 years at 8% per annum exceeds the simple interest on the same principal for 5 years at 3% per annum by Rs 820. What was the principal?
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Q6 / 25
2.00 marks
A square pyramid is placed on top of a cube of side 10 cm such that the base of the pyramid coincides with the top face of the cube. If the lateral surface area of the pyramid is 200 cm 2 , find the height of the pyramid.
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Q7 / 25
2.00 marks
AB and CD are two parallel lines and P and Q are the points on AB and CD respectively such that ∠APQ = (2m - 7)° and ∠PQC = (m - 8)°, then what is the value of m?
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Q8 / 25
2.00 marks
A deposit earns simple interest at 15% per annum for the first year. After that, the amount obtained at the end of the first year is invested for the next 2 years at compound interest of 20% per annum, compounded annually. If the final amount is Rs. 4140, find the original principal.
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Q9 / 25
2.00 marks
Simplify:
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Q10 / 25
2.00 marks
cot27°cos31°sec31°cot63° = ?
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Q11 / 25
2.00 marks
If cosecα + cosα _________ cosecα - cosα = 161 _________ 93 , then what is the value of sin2α?
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Q12 / 25
2.00 marks
If sin α = 4/9, then what is sin α * cos α * tan α?
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Q13 / 25
2.00 marks
Apu is twice as efficient as Bart who is twice as efficient as Carl. If all of them work together, the work will be completed in 12 days. Apu and Bart worked together for 8 days and then Apu was replaced by Carl. Apu was paid ₹2,000 for his work. How many more days are required to complete the work?
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Q14 / 25
2.00 marks
By selling 45 m of cloth a shopkeeper makes a profit equivalent to the selling price of 15 m of cloth. Find the selling price of 1 m of cloth when the cost price of 1 m of cloth is Rs. 840.
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Q15 / 25
2.00 marks
If the length of a rectangle is decreased by 10% and the breadth is increased by 25%, the area becomes 5760 cm 2 . Find the original area of the rectangle.
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Q16 / 25
2.00 marks
The midpoint of the line segment joining A(1, 9) and B(7, 3) lies on a line whose slope is -1. If the line passes through that midpoint, what is its equation in general form?
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Q17 / 25
2.00 marks
If the angle between two tangents drawn from an external point M to a circle of radius X cm and center O, is 60°, then find the value of X. OM = 635 cm.
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Q18 / 25
2.00 marks
What is the average of all the prime numbers in between 115 and 150?
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Q19 / 25
2.00 marks
On a 600 m circuit, cyclists Lucy and Nolan start together in the same direction with speeds of 8 m/s and 11 m/s respectively. After how many seconds will they first become diametrically opposite on the track?
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Q20 / 25
2.00 marks
Find the dividend if the divisor is (x + 2), quotient is (4x - 5) and the remainder is 12.
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Q21 / 25
2.00 marks
A school distributes sweets among classes IX, X and XI in the ratio of ½ : 2/5 : 3/8 respectively. If the number of sweets distributed to class X is 112, then find the total number of sweets distributed among all three classes together.
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Q22 / 25
2.00 marks
Pipe A can fill a tank in 18 hours. Pipe B can empty it in 54 hours. Find the time taken to fill the tank if both pipes are opened alternately for 1 hour each starting with pipe A.
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Q23 / 25
2.00 marks
A shopkeeper purchases sugar at Rs. 52 per kg and Rs. 80 per kg. He mixes the two varieties and sells the mixture at Rs. 72.5 per kg. At this selling price, the profit percentage on the cheaper sugar is equal to the loss percentage on the costlier sugar. Find the ratio in which the two types of sugar were mixed?
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Q24 / 25
2.00 marks
A cylindrical tank filled with water has a base radius of 28 cm. When a solid metal cube of side 11 cm is submerged completely, the water level rises by some height. Find the increase in water level.
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Q25 / 25
2.00 marks
Find the value of: √[13 + 4√10] - √[13 - 4√10]
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