PQR is an isosceles triangle in which PQ = QR. QD is an angle bisector of ∠PQR. MN and ZX are two perpendicular on PR where MN = ZX. If QD = 27 cm, DX = 11 cm, XR = 9 cm, then find the area of shape QMNXZ? (a) 461.32 cm² (b) 430.65 cm² (c) 502.65 cm² (d) 411.35 cm² Sol:
READ MORE + A person covers 40% of the distance from A to B at 10 km/hr, 40% of the remaining distance at 9 km/hr. and the rest at 12 km/h. His average speed (in km/hr) for the journey is? Answer: Option C Sol: Ratio of distance = (40%: 24%: 36%) × 3 = 120 km: 72 km: 108 km
READ MORE + Find the least number of square tiles to cover a wall of length 4661 cm long and 3318 cm wide completely (a) 2196 (b) 3166 (c) 2810 (d) 2478 Sol:
READ MORE + Pankaj marks his goods 25% above the cost price. He sells 40% of goods at the marked price, 25% at 15% discount and the remaining at 20% discount. What is his overall percentage gain? (a) 11.25% (b) 11.42% (c) 11.5625% (d) 12.125% Sol:
READ MORE + 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 ...
READ MORE + 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: ...
READ MORE + 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:
READ MORE + 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 ...
READ MORE + 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
READ MORE + 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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