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Q) A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C? a) Rs. 375Â Â Â Â Â […]
Q) A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in: a) 9 1/5 days      b) 9 2/5
Q) A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is:Â Â a) 1/4Â Â Â Â Â Â Â b) 1/10Â Â Â Â Â Â Â Â c) 7/15Â Â Â Â
Q) A vertical tower stands on a horizontal plane and is surmounted by a flagstaff of height 7m. From a point on the plane, the angle of elevation of the bottom of the flagstaff is 30° and that of the top of the flagstaff is 45°. Find the height of the tower.   Ans: Let’s
A vertical tower stands on a horizontal plane and is surmounted by a flagstaff of Read More »
Q) Two poles of equal heights are standing opposite each other on either side of the road, which is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60° and 30°, respectively. Find the height of the poles and the distances of
Two poles of equal heights are standing opposite each other on either side of the road, Read More »
Q) In the given figure, a circle centered at origin O has radius 7 cm, OC is median of Δ OAB. Find the length of median OC. Ans: Step 1: In the given circle, OA and OB are the radii of the same circle and they intersect at 90 degrees (coordinates) Δ AOB, by Pythagoras
Q) A dealer sells an article for Rs. 75 and gains as much percent as the cost price of the article. Find the cost price of the article. Ans: Let’s consider the cost price of the article is X At sales price of Rs. 75, his profit is 75 – X The percentage % gain
Q) A person standing on the bank of a river observes that the angle of elevation of the top of a tower on the opposite bank is 60°. When he moves 30 m away from the bank, he finds the angle of elevation to be 30°. Find the height of the tower and width of
Q) Given that 2 is a root of the equation 3×2Â – p(x + 1) =0 and that the equation px2Â – qx + 9 = 0 has equal roots, find the value of p and q. Ans:Â Step 1: Since 2 is a root of the equation 3 x2Â – p (x + 1) =0, therefore it
Q) A man has a Recurring Deposit Account in a bank for 3½ years. If the rate of interest is 12% per annum and the man gets Rs. 10,206 on maturity, find the value of monthly instalments. Ans: Given that: RD tenure = 3.5 years = 42 months Rate of Interest = 12% p.a. Maturity amount