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Q1 / 25
2.00 marks
A container has a 250 -litre mixture of aci d and water in the ratio 4:1. 50 litres is removed and replaced with water. Then 50 litres is removed again and replaced with pure acid. What is the final percentage of acid?
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Q2 / 25
2.00 marks
If secA – tanA = 1/√3, then find secA + tanA .
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Q3 / 25
2.00 marks
Simplify the following :
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Q4 / 25
2.00 marks
There are 8 consecutive integers and 5 consecutive integers. The average of the 8 integers is 3 less than the average of the 5 integers. The sum of the 5 integers is 11 less than the sum of the 8 integers. Find the average of the 8 integers.
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Q5 / 25
2.00 marks
A su m becomes Rs. 11,760 in 2 years at r% simple interest. If t he interest rate had been (r + 13 )% p.a., the amount would have been Rs. 13,320. Find the principal.
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Q6 / 25
2.00 marks
A wa ter filter tank is 1 m wide, 0.8 m deep, and 1.5 m long. It takes 2 .5 hours to fill it. At what rate is water being filled (in liters per minute)?
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Q7 / 25
2.00 marks
If two circles of radius r 1 and r 2 have exactly one common tangent, what is the distance between their centers?
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Q8 / 25
2.00 marks
A se ller offers a combo deal: "Buy 5 shirts for the price of 2". If each sh irt costs him Rs. 1 00, what is the effective loss percentage?
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Q9 / 25
2.00 marks
If A, B and C are three numbers, such that the L.C.M. of A and B is B and the L.C.M. of B and C is C, then find the product of the L.C.M. ( A, B and C ), third power of A and twice of B.
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Q10 / 25
2.00 marks
If x + 1/x = -1 . Find the value of the following :
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Q11 / 25
2.00 marks
In how many different ways can the letters of the word ‘MOBILE’ be arranged in such a way that the vowels occupy only the odd positions?
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Q12 / 25
2.00 marks
In a 150-m race, if R gets a 1 5-metre head start, then he would beat S by 2 5 metres . If S ge ts a 25-metre head start in a 11 0-metre race, then ______ would win the race by ______ metres .
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Q13 / 25
2.00 marks
How many cubes of length 25 cm can be accommodated in a container of 5 m in length, 2 m in width and 6 m in height?
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Q14 / 25
2.00 marks
A circular disc of radius 10 cm is cut into 4 equal parts. What is the area and perimeter of each part?
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Q15 / 25
2.00 marks
In a circle, chord AB and chord CD intersect at E such that AE : E B = 3 : 7 and CE : ED = 4 : 9 . If AB = x and CD = y, which of the following is true?
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Q16 / 25
2.00 marks
The union of rational and irrational numbers = ?
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Q17 / 25
2.00 marks
A software company d eveloped 10 00 licenses for a new application at a total cost of ₹5 ,000,000. They provided 10 0 licenses free to their top beta testers. For the remai ning licenses, they offered a 5 % discount on the market price of ₹6000 per license. Additionally, th ey gave 2 license s free for every 8 licenses bought. If all 10 00 license s were distributed, what is the company's overall gain or loss percentage?
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Q18 / 25
2.00 marks
A population falls by 18 % in the first year. By what percentage must it increase in the second year so that at the end of the second year the population is 10% more than the original?
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Q19 / 25
2.00 marks
From the top of a hill 240 metres high, the angles of depression of the top and bottom of a pole are 30° and 60°, respectively. The sum (in metres ) of the height of the pole and its distance from the hill is:
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Q20 / 25
2.00 marks
Find the mode of the following data: 45, 45, 48, 47, 48, 48, 45, 47, 41, 42, 43, 44, 44, 48
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Q21 / 25
2.00 marks
A:B = 18:7, B:C = 5:8, C:D = 9:11 . Find the ratio of A:D.
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Q22 / 25
2.00 marks
P borrows ₹5,00,000 from the bank which charges 19 % simple interest per annum at t he start of the year. He pays 7 equal monthly installments of ₹5 0,000 and some gold at the end of the year to pay the amount. What is the value of the gold given?
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Q23 / 25
2.00 marks
If the interior angle of a regular polygon is k times its exterior angle, express the number of diagonals of the polygon in terms of k.
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Q24 / 25
2.00 marks
Train 'A ' can cross a pole in 9 seconds, while train 'B ' takes 10 seconds to cross train 'A ' when they travel in opposite directions on parallel tracks. If the ratio of length of train 'A' to that of train 'B ' is 3:2 and the speed of train 'A ' is 60 km/h, then find the speed (in km/h) of train 'B '.
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Q25 / 25
2.00 marks
Find the value of x , if 2 (x+2) + 7 = 10 45 - 14
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