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Q1 / 252.00 marks
The average of 27 scores is 65. Each score is increased by 40% and then decreased by 13. Find the new average.
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Q2 / 252.00 marks
In a triangle ABC, I is the incentre of the triangle and angle bisector of ∠BIC meets the line BC at D. If ∠BID = 55° then find the value of ∠BAC.
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Q3 / 252.00 marks
If a circle contains a square and the area of the square is 392 m 2 , then find the area of the circle.
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Q4 / 252.00 marks
LCM of two numbers is 45 times their HCF, and the sum of their HCF and LCM is 3220. If one of the two numbers is 350, then what is the other number?
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Q5 / 252.00 marks
A person invested a certain sum in a simple interest at a 30% rate of interest per annum for 5 years, then the interest received is Rs. 2475. Find the sum invested.
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Q6 / 252.00 marks
Which pair of numbers has a sum of 21 and whose squares differ by 105?
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Q7 / 252.00 marks
On a particular day in a school, the number of present students was 50% more than the number of absent students. Among the present students, 40% were girls. 108 boys were absent that day. If 40% of the girls were absent that day, what is the total number of students in the school?
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Q8 / 252.00 marks
From the given options, the largest 5-digit number that is exactly divisible by 63 is:
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Q9 / 252.00 marks
A sprinter completes three laps of 200 m in 20 s, 22 s, and 27 s respectively. If he had maintained his average speed of the first two laps in the third lap as well, how many seconds earlier would he have finished the race?
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Q10 / 252.00 marks
If two circles with radii of 18 cm and 32 cm touch each other externally, then find the length of their common tangent.
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Q11 / 252.00 marks
A shopkeeper sold an article at 25% profit but he uses weight of 800 gm in place of 900 gm. Find his actual profit percent.
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Q12 / 252.00 marks
Aarav and Bhumi invested Rs. 60,000 and Rs. 40,000 respectively for the whole year. Aarav managed the business and is entitled to a commission equal to 20% of the profit after charging his commission. If the total profit is Rs. 1,20,000, what is Aarav's total earning ?
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Q13 / 252.00 marks
The present average age of a team is 'A' years. After 6 years, the average will be 140% of the present average. Find the present average age.
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Q14 / 252.00 marks
What is the value of (5 - 2√6) + [1/(5 + 2√6)] + (4√6 - 8)?
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Q15 / 252.00 marks
The volume of a cylinder is 90% of the volume of a cone, and height of cylinder is 1.2 times of that of cone. If radius of the base of the cone is 72 cm, then find the radius of the cylinder.
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Q16 / 252.00 marks
Two traders A and B have mixtures of sugar and impurity in the ratios 3:2 and 4:1 respectively. They mix these mixtures in the ratio 1:1. The resulting mixture contains 32 kg more sugar than impurity. What is the total mass of sugar in the final mixture?
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Q17 / 252.00 marks
A can do a work in 12 days and B in 25 days. If they work together for 6 days, then the fraction of the work that is left is:
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Q18 / 252.00 marks
If a 2 + b 2 = 45 and a - b = 9, then what is the value of 1 _________ a - 1 _________ b
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Q19 / 252.00 marks
A can do 10% of a work in 4 days, whereas B can do 40 % of the same work in 8 days. Both work together for 10 days. C completes the remaining work alone in 5 days. A and C together will complete 60% of the same work in:
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Q20 / 252.00 marks
A shopkeeper buys a radio for Rs. 1860. His overhead expenses are Rs. 240. If he sells the radio for Rs. 2352, then find his profit percent.
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Q21 / 252.00 marks
A 93-meter-long bamboo is leaning against a wall, forming a 60° angle with the floor. What is the horizontal distance between the base of bamboo and the wall?
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Q22 / 252.00 marks
What number should be subtracted from 78, 85, 45 and 49 so that they all become proportional to each other?
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Q23 / 252.00 marks
A train crosses a platform whose length is 3/2 of the train's own length in 50 seconds while running at 90 km/h. Find the platform's length.
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Q24 / 252.00 marks
If (11, 15, 8) is the mid-point of A and B, where the coordinate of A is (9, 7, 10) then find the coordinate of B.
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Q25 / 252.00 marks
(√256 + 3 2 ) X 2 2 - √? = 90
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