Two train A and B starts at same time and moves towards each other. After passing each other, A taken 9 hours 36 minutes and B takes 11 hours 16 minutes to reach their destination respectively. If speed of A in 234km/hr. Find speed of train B. (a) 186 km/hr (b) 198 km/hr (c) 216 […]
If 50 men can do a certain job in 32 days working 8 hours per day, the part of that work which can be completed by 30 men in 64 days, working 4 hours per day is? (a) 11/13 (b) 2/7 (c) 3/5 (d) 7/9 Sol: Work done/total work=30*64*4/50*32*8=3/5
Wasim borrowed Rs. 2000 from bank and returned Rs. 9500 after 4 years. After 6 years, from starting, he returned Rs. 12360 and settled his account. What was the rate of interest? Sol:
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? (a) 7 ½ hrs (b) 17 ½ hrs
What is the value of (cos9A+cos5A/sin9A-sin5A)? (a) cot 2A (b) cot A. (c) tan 2A (d) tan A Sol:
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 (b) 14 (c) 15 (d)
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 and in ∆OFC,
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
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 (c) 28 cm² (d) 32 cm² Sol: Area of square ABCD = 2 × (62.5 + 65.5) = 256 cm² Now area
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 (c) 116 kg (d) 108 kg Sol:
