The base of a conical tent is 12m in diameter and the height of i ts vertex is 3.2 m. The area of the canvas required to put up such a tent (in m²) is nearly? (take = 22/7 ) (a) 122.11 (b) 128.22 (c) 132.33 (d) 142.44 Sol: Triplet (8, 15, 17) (32, 60, […]
A, B, C enter into partnership by investing Rs. 190560, Rs. 444640, Rs. 698720 respectively. After 6 months, A doubled his investment, and after 2 more months B also doubled his investment. At the end of year, the profit earned by C was Rs142506 more than A. Find out the total profit? (a) Rs. 612221
If x – 10 = 4 , then (a) 4 (b) 5 (c) 2 √2 (d) 4 √2 Sol: Let y = x – 1 = 9 + 4 √5 and 1/y=1/x-1=9-4√5
A vessel is full of 114 ltr. milk, 19 l tr. milk is taken out and replaced by water and again this process is repeated three times. Find the amount of milk left after fourth replacement? (Approx.) (a) 31.61 ltr. (b) 49.68 ltr. (c) 54.97 ltr. (d) 62.31 ltr. Sol: a = 114 ltr. b
The probability that a girl will hit a target in shooting practice is 0.3. If the girl shoots 10 times, the probability that she hits the target is ? a) 1 b) 1 – (0.7)10 c) (0.7)10 d) (0.3)10 Sol: Reqd. Prob. =1 – Prob. that he does not hit the target in any trial
A runs 4/3rd as fast as B and gives him a head start of 37 m in a race. How long is the race in terms of distance so that A and B finish in a dead heat? (a) 156 m (b) 148 m (c) 101 m (d) 99 m Sol:
The tops of two poles of height 80 m and 45 m are connected by a rope. If the rope makes an angle with the horizontal whose tangent is 5/9, then what is the distance (in m) between the two poles? (a) 54 (b) 63 (c) 72 (d) 45 Sol:
ABCD is a cyclic quadrilateral in which AB = 12.5 cm, BC = x cm, CD = 13 cm, AD = 20.8 cm and BD is bisected by AC at O, what is the value of x? (a) 19.352 (b) 20.352 (c) 21.632 (d) 22.642 Sol: 12.5 × x = 13 × 20.8 =>x=13*20.8/12.5 =21.632
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
