Amit and Raman started travelling together in the same direction at 23 km/hr and 35 km/hr receptively. After 10 hours, Amit increased his speed by 13 km/hr and Raman reduced his speed by 15 km/hr, and reached the destination together. How long the entire journey last? ...
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What is the value of (cos9A+cos5A/sin9A-sin5A)? (a) cot 2A (b) cot A. (c) tan 2A ...
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A sold cylinder of diameter 18 cm and height 30 cm is melted and recast into toys with the shape of a right circular cone mounted on a hemisphere of radius 4.5 cm. If the height of the toy is 18cm, find the number of toys so formed? (a) 12 ...
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In the given figure ABC is right angle triangle, right angled at B. A semi -circle is drawn inside the triangle. Find the radius of semicircle if AO = 4cm & OC = 5cm? (a) 15/√41 (b) 20/√41 (c) 25/√41 (d) 30/√41 Sol: ∆ADO ~ ∆OEC ∴ in ∆ADO, sinθ = r/4 ...
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Let x be the least number divisible by 24, 30, 36, 45 and 50 and x is also a perfect square. What is the remainder when x is divided by 233? (a) 55 (b) 105 (c) 170 (d) 103 Sol: L.C.M of (24, 30, 36, 45, 50) = 1800 = 900× 2 For a perfect square = 900 × 2 × 2 = 3600 ...
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ABCD is a square where P, Q, R and S are the mid-points of AB, BC, CD and DA respectively, then find the area of shaded region? (a) 16 cm² (b) 24 cm² ...
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What quantity of tea at rate of Rs. 91/kg mixed with 110 kg of tea at rate of Rs. 102/kg so selling the mixed tea at Rs. 108/kg, shopkeeper gains 12 ½% ? (a) 132 kg (b) 124 kg ...
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A, B, C can do a piece of work alone in 10, 12, 15 days respectively. At the most only two people can work on each day and nobody works for more than two consecutive days. What is the minimum number of days that they will take to finish the work? Sol: Ist day A + B 22 IInd day A + B ...
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The speed of boat in still water is 8 km/hr more than the speed of current. If a boat takes total 11 hr to cover 32 km downstream and 40 km upstream. Find the speed of boat in still water. (a) 7.61 km/hr ...
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If x + y + z = 1, xy + yz + yz = –31 and x³ + y³ + z³ = 178, then what will be the value of xyz? (a) 25 (b) 26 (c) 27 ...
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A man deposited Rs. 2820 in a bank at 9% per annum and Rs. 3420 in another bank at 11% per annum. Find the rate of interest for the whole sum (a) 12.732% (b) 12.321% (c) 11.616% (d) 10.096% Sol:
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A person sold 35 articles for Rs. 2800 and incurred a loss of 20%. How many articles should he sell for 5850 to make a profit of 17%? (a) 70 (b) 60 ...
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