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Q1 / 252.00 marks
In a ∆ABC, right angled at A, if tan B = 9/40 , then find tan^2A- sec^2A/1-cos^2B .
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Q2 / 252.00 marks
The profit made on an item sold for Rs. 2160 is equal to the loss incurred when it is sold for Rs. 1440. What will be the profit or loss percentage when it is sold for Rs. 1944?
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Q3 / 252.00 marks
In a triangle ABC, ∠A = 89°. The perpendicular bisector of AB at D meets BC at E. If ∠AED = 43° what is the measure of ∠C?
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Q4 / 252.00 marks
The compound interest on a certain sum in 2 1/2 years at 8% p.a., interest compounded yearly, is Rs 6658. Find the sum?
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Q5 / 252.00 marks
If (2x 3 + ax 2 + 2x + 4) is exactly divisible by (x + 2). Find the value of a?
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Q6 / 252.00 marks
A thief committed a crime and escaped from the spot at a speed of 24 km/h. A security guard started chasing him 30 minutes after the thief started running and caught him in the next 10 minutes. What is the speed (in km/h) of the security guard?
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Q7 / 252.00 marks
A pyramid has an equilateral base of length 10cm. The slant height of the pyramid is 10 cm. Find the volume of the pyramid (in cm 3 ).
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Q8 / 252.00 marks
How many numbers between 10 and 110 are divisible by both 2 and 5 but not by 3?
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Q9 / 252.00 marks
Rs. 1400 were distributed among A, B, C and D in such a way that C and D together get 3/4th of what A and B together gets. C gets 9/4 th of B and D gets 1/3 rd of C. Find the share of B?
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Q10 / 252.00 marks
A shopkeeper sells an LED at Rs. x and earns a profit of 25%. On the occasion of Deepawali, he marks the same LED at Rs. 1.5x and offers a discount of 20%. What will be the profit percentage that he will make during the Deepawali offer?
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Q11 / 252.00 marks
If the mode of the following data is 15, find the value of k. 11, 12, 8, 9, k, 11, 15, 12, 14, 15
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Q12 / 252.00 marks
Two circles intersect each other at two distinct points. Which of the following statements is always true?
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Q13 / 252.00 marks
A can do 1/4 part of a work in 9 days. B can do 2/3 part of the same work in 28 days. Working together, in how many days can A and B complete the whole work?
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Q14 / 252.00 marks
Simplify the following: \sqrt45+\sqrt605-\sqrt405/\sqrt720-\sqrt245
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Q15 / 252.00 marks
Average salary of A,B and C is Rs. 15,000 per month and average salary of B,C and D is 12,000 per month. If the salary of A is twice that of D, find the average salary of B and C?
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Q16 / 252.00 marks
A cube of 12cm edge is immersed completely in a rectangular vessel containing water. If the dimension of base area of the rectangle be 15cm and 12.5cm, find the rise in water level?
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Q17 / 252.00 marks
The largest possible length of a tape which can measure 765 cm, 935 cm and 1275 cm length of clothes in a minimum number of attempts without measuring the length of a cloth in a fraction of the tape’s length?
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Q18 / 252.00 marks
In a triangle PQR, the medians PM and QN intersect at the centroid G. If the length of median PM is 15 cm, what is the length of segment PG?
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Q19 / 252.00 marks
From a container of milk, a thief has stolen 10 litres of milk and replace it with same quantity of water. He repeated the same process 2 times more, thus the ratio of milk to water in the final mixture becomes 729:271. The initial amount of milk in the container was?
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Q20 / 252.00 marks
Rohan needed ₹40,000 for expanding his business and divided the amount between two private lenders on simple interest: Lender P charges 10% p.a. simple interest Lender Q charges 7% p.a. simple interest Rohan kept both loans for 5 years and then made a single lump-sum payment to clear only the total interest, which amounted to ₹17,750. Later, he realized that if the principal amounts borrowed from the two lenders had been interchanged, his total interest payment over five years would have been ₹1,500 less than what he actually paid. How much money did Rohan borrow at 10% p.a. from Lender P?
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Q21 / 252.00 marks
Two circular cakes have radii in the ratio 3 : 5. If the area of the smaller cake is 180π cm², what is the area of the larger cake?
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Q22 / 252.00 marks
A and B are partners in a business. They invest in the ratio 4:5, at the end of 6 months A withdraws from the business. If they receive profits in the ratio 6:5, find how long B’s investment was used?
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Q23 / 252.00 marks
A vertical tower of height H stands on level ground. From a point A on the ground, the angle of elevation of the top of the tower is 45°. From another point B, which is 12 m away from the tower along the same straight line, the angle of elevation of the top of the tower is 30°. What is the height of the tower?
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Q24 / 252.00 marks
A is 25% less than B and C is 40% of the sum of A & B, then by what percentage is A greater than C?
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Q25 / 252.00 marks
If x= \sqrt\sqrt5+2/\sqrt\sqrt5-2, then find the value of x2+x-11.
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