Find the reflection of a point (2, –5) when mirror is placed on y = –2.5? a) (2, 0) b) (0, 2) c) (0.5, –5) d) (5, –0.5) Sol: As shown by figure Point P = (2, –5) is shown in fourth quadrant is at y = – 2.5 Difference of mirror with P y = –5 – (–2.5) = –2.5 cm x ...

Milk and water are mixed in a vessel A in the proportion 5 : 2, and in vessel B in the proportion 8 : 5. In what proportion should quantities be taken from the two vessels so as to form a mixture in which milk and water will be in the proportion of 9 : 4? a) 2 : 7 b) 3 : 8 c) 7 : 2 d) 8 : 3  Sol: ...

A and B together can complete a job in 8 days. Both B and C, working alone can finish the same job in 12 days. A and B commence work on the job, and work for 4 days, whereupon A leaves. B continues for 2 more days, and then he leaves too. C now starts working, and finishes the job. How many days ...

Find the difference between the simple interest and the compound interest payable annually on a sum of Rs.6,500 at 7% per annum for 3 years. (Correct to two decimal places.) a) 90.90 b) 97.78 c) 92.50 d) 88.80 Sol: 6500×7/100=455 455×7/100=31.85 31.85×7/100=2.295 ...

A bus covered a certain distance from village A to village B at the speed of 60 km./hr. However, on its return journey it got stuck in traffic and covered the same distance at the speed of 40 km/hr. and took 2 hours more to reach its destination. What is the distance covered between village A and ...

A shopkeeper allows 20% discount on his advertised price and to make a profit of 25% on his outlay. What is the advertised price (in Rs.) on which he gains Rs 6000? a) 36000 b) 37500 c) 39000 d) 42500 Sol:

If x=2sinθ/(1+cosθ+sinθ), then the value of 1-cosθ+sinθ/(1+sinθ) is: Sol:

If the number 1005x4 is completely divisible by 8, then the smallest integer in place of x will be:  (a) 2 (b) 4 (c) 1 (d) 0 Sol: For any number to be divisible by 8, its last 3 digits must be divisible by 8 By putting x=0 in 1005x4, we see that 504 will be divisible by 8.  

A hallow cylinder made up of copper, the difference between its outer and inner C.S.A is 1232 cm² and cylinder holds 4312 cm³ water. If the cost of copper is 10/cm³. Find the cost of copper used in cylinder, if height of cylinder is 28 cm? a) Rs. 44120 b) Rs. 43120 c) Rs. 43210 d) Rs. ...

The cost of a house was Rs. X lakhs in 2005. After 3 years, the owner of the house sold it for 25% more than she paid it. But she has to pay a tax of 50% of the gain. The tax amount she has to pay is. a)  x/2 b)  x/8 c)  x/4 d) x/24 Sol: