4 men and 5 women can complete a work in 15 days, where as 9 men and 6 women can do it in 10 days. So in order to complete the same work in 7 days how many women should assist 8 men? (a) 14 (b) 12 (c) 11 (d) 13 Sol: Total work = (4M + 5W) × 15 = (9M + 6W) × 10 ...
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A pole is on the top of tower. The angle of depression from the pole and tower to the ground is 60° and 30° respectively at point P. It the distance between the point P and tower is 260√3m, find the height of pole. (a) 360m (b) 120m (c) 480m (d) 520m Sol: ...
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If height of a cylinder is 6 times the circumference, find the volume of the cylinder in terms of circumference (a) 2πc² (b) C³ π (c) 3c2 / π (d) 3c2 / 2π Sol:
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The ratio of the number of boys and girls in a school was 5: 3. Some new boys and girls were admitted to the school, in the ratio 5: 7. At this time, the total number of students in the school became 1900, and the ratio of boys to the girls changed to 7: 5. the number of students in the school ...
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If cosα + cosβ = A and sinα + sinβ = B, find sin(α – β). (a) A2+B2-2/2 (b) A2+B2+2/2 (c) A² – B² + 1 (d) A² + B² – 4 Sol: Put α = β = 0 A = 2 B = 0 Sin0 = 0 Only option D satisfies (4) + 0 – 4 = 0
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In a trapezium ABCD, ∠DAB = 60° and ∠CBA = 30°, AB || CD, AD = 22 cm, CD = 11 √3cm . Find the area of trapezium? Answer: Option D
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Rs. 17,325 has to be divided between x, y & z such that x gets 4/5 of what y gets and y gets 2/3 of what z gets. How much does z get over x (in Rs.) (a) Rs. 3675 (b) Rs. 3668 (c) Rs. 3661 (d) Rs. 3654 Sol:
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MNOP is a cyclic quadrilateral. The angle bisector of ∠PMN and ∠PON meets the circle at point A and B respectively. Find the value of ∠AMB? (a) 45° (b) 90° (c) 60° (d) 120° Sol: Assume any angle ∠PMN = 60° Angle made by arc BN = 60° at So angle made by arc BN = 60° at M ∴ ∠AMB = ...
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If (a+b–c –5)² + (b+c–a–9)² +(c+a–b – 11)² = 0 then √a+b+c = ? (a) 6 (b) 4 (c) 2 ...
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A trader marks up in his goods by 120% and offers 30% discount. What will be the selling price (in Rs.), if the cost price is Rs. 1350? (a) Rs. 2059 (b) Rs. 2069 (c) Rs. 2079 (d) Rs. 2089 Sol:
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Train A takes 45 minutes more than train B to travel a distance of 675 km. Due to engine trouble speed of train B falls by a quarter, so it takes 30 minutes more than train A to complete same journey. What is the speed of train A (in km/h)? (a) 150 (b) 125 (c) 100 (d) 75 Sol: ...
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Two dice are thrown. Find the probability that a multiple of 3 occurs on one dice and a multiple of 2 occurs on the other. (a) 1/2 (b) 13/36 (c) 1/3 (d) 11/36 Sol: We have a total of 11 favorable cases viz. 2,3 2,6, 4,3 4,6 6,3 3,6 6,4 3,4 6,2 3,2 and 6,6 out of a total of 36 cases. So, the ...
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