In a right-angled triangle ABC, right angled at B, point D and E are on AB and BC such that DE||AC. If AD = 3 cm and EC = 4 cm. and area of quadrilateral ADEC is 42cm sq. find the area of ∆DBE. (in sq. cm) a)            54 b)            36 c)            72 d)            64 Sol:

8 men and 6 women can complete a work in 9 days while 6 men and 8 women can complete the same work in 12 days. In how many days 4 men and 7 women can complete the same work? a)            16 days b)            18 days c)            24 days d)            22 days Sol:

A faulty weighing machine reads 1 kg when 900 gm is weighted on it. The shopkeeper marked the price of his goods by 10%, but unfortunately, he was caught by the metrology department and then they ordered him to repair his weighing machine and gave punishment to sell the goods at 10% discount on ...

Find the sum of the numbers between 550 and 700 such that when they are divided by 12, 16 and 24, leave remainder 5 in each case. a) 1998 b) 1887 c) 1788 d) 1884 Sol: ⇒ LCM of 12, 16, and 24 = 48  Multiple of 48 bigger than 550 which leaves remainder 5 are  ...

A merchant marks up the price of his goods by 40% more than the cost price. He then sells 1/5th  of his goods at a discount of 10%, half of the goods at the marked price and the rest of the goods at a discount of 20%. Find his profit percentage. (a) 25.5% (b) 28.8% (c) 27.7% (d) ...

In a journey of three unequal laps, a car covers a distance of 200 km in 4 h in the first, while another 162 km at the speed of 15 m/s in the second lap. It covered the remaining distance of the final lap in 4 h such that the average speed of the car for entire journey was 50 km/h. What was the ...

The length of a cold storage is 5 times its breadth, and its height is 8 m. The area of its four walls (including the doors) is 720 m2. Find the total surface area of cold storage. (a) 1222.5 (b) 1282.5 (c) 1333.3 (d) 1285.5 Sol: Given:  The length of cold storage is 5 times its breadth, and its ...

Three persons P, Q, R run along a circular track at speeds of 3 km/h, 4 km/h, 6 km/h, respectively. If the length of the track is 36 km, then after how much time will they meet again, at the starting point? (a)          32 (b)          36 (c)           45 (d)          50 Sol: Speed of P, Q and R ...

The number 150328 is divisible by 23. If the digits are rearranged in descending order and five times of 13 is subtracted from the new number thus formed, then the resultant number will be divisible by. (a)  3 (b) 5 (c)  2 (d)  7 Sol: Here , the number 150328 is divisible by 23   When rearranged ...

After the completion of a work, a sum was divided among Ashutosh, Shashank and Vikas such that the ratio of shares of Ashutosh and Shashank is 6/7:5/3 and that of Shashank & Vikas is 7/9:8/5. If the difference between the shares of Ashutosh and Vikas is Rs. 540, find the sum? (a) 1200 (b) ...

When the price of rice increases by 33%, a housewife wishes to spend only an additional 19% on that. By what percent should she reduce the quantity of rice consumed? (a) 10.48% (b) 10.52% (c) 10.55% (d) 10.46% Sol:

When a sum is given on loan at 25% p.a. simple interest, it amounts to 13, 224.20 Rs. In 7 yrs. What will be the simple interest on the same sum at 20% p.a. in 2.6 years? (a) 2512.580 (b) 2498.667 (c) 2500.576 (d) 2524.251 Sol: