If cos A=sin2A. and a sin12A+b sin10A+c sin8A+sin6A=1. Then a+b+c=? a)            5 b)            7 c)            6 ...

Sides PQ and SR of a cyclic quadrilateral PQRS are produced to meet at T and sides PS and QR are produced to meet at U. If ∠PST = 87° and ∠ QTR = 41° , then the difference between ∠ QPS and ∠ SUR is a) 15° b) 23° c) 17° d) 19° Sol: Required Difference = 52° - 35° = 17°

On a certain day 25% of total students of a school were absent – the ratio of the number of boys to the number of girls who were present is 11 : 19. The total number of girls enrolled in the school is 3850. The number of boys who were absent is 700 more than that of girls. Find the total number ...

Some men can do a piece of work in 70 days. If there were 2 men less. It would be finished in 10 days more. Find the number of men initially? a)            10 b)            16 ...

Three partners shared the profit in a business in the ratio 5 : 7 : 8 . They had partnered for 14 months, 8 months & 7 months respectively. What was the ratio of their investments? a) 5 : 7 : 8 b) 20 : 49 : 64 c) 38 : 28 : 21 d) 5 : 4 : 4 Sol:

On a certain sum of money lent out at 16% per annum, the difference between the compound interest for 1 year, payable half-yearly, and the simple interest for 1 year is Rs. 60. The sum is? a) 9393 b) 9375 c) 9870 d) 9555 Sol: Rate = 16% p.a.  Time = 1 year (half-yearly)  Difference between CI ...

Two types of sugar of rate Rs. 5.60/kg and Rs. 6.40/kg is present with a shopkeeper. What quantity of second type of sugar should be mixed with 20 kg of first type of sugar to get mixture of rate Rs. 6.20/kg a)            30 kg b)            40 kg c)            50 kg d)            60 kg Sol: ...

A is inversely proportional to square of B. When A is 25, B is 3. Find the value of A when B is 5       . a) 9 b)  3 c) 5 d) 25 Sol:

The average score in an English exam of a class of 45 students in a coaching centre is 52. A group of 6 boys having an average score of 40 leave the class and another group of eight boys having an average score of 43 join the class. What is the new average score of the class? a)            52 ...

Three containers of capacity 20L, 5L and 9L contain mixture of milk and water with milk concentrations 90%. 80% and 70% respectively. The content of three containers are emptied into a large vessel. What is the ratio of milk to water in the resultant mixture? a) 3:1 b) 41:7 c) 283:57 ...

The radius of a hollow sphere is 21 cm. It is cut into two equal halves by a plane passing through its center. What is 75% of the curved surface area of the hemisphere? a) 2090 b) 2080 c) 2070 d) 2060

If (2ax+b)²+4ac= b² then find the value of x(ax+b)? a)  a/bc b)  ab/c c) -c d) abc Sol: