If the 6-digit numbers x35624 and 1257y4 are divisible by 11 and 72, respectively, then what is the value of (5x-2y)?  (a) 14 (b) 12 (c) 10 (d) 13 Sol: In such questions directly check divisibility by 11, 9 and 8. For a number to be divisible by 11, the difference of the ...

The price of tea increases by 32%, therefore the expenditure on tea increase by 10%. If 10 kg tea was bought earlier, then what is the quantity can buy now? a) 12 kg b) 8 1/3kg c) 6 2/3kg d) 9kg Sol: Let original price of the tea is and consumption after increase in price is y ...

What should replace * in the number 94*2357, so that the number is divisible by 11?  (a) 3 (b) 7 (c) 1  (d) 8 Sol: For a number to be divisible by 11, the difference of sum of alternative numbers is divisible by 11. Hence, (7+3+*+9)-(5+2+4) =(19+*)-(11) =8+* ...

If the nine-digit number 708x6y8z9 is divisible by 99, then what is the value of x+y+z?  (a) 9 (b) 16 (c) 5  (d) 27 Sol: It is given that 708x6y8z9 is divisible by 99. Thus, 708x6y8z9 is divisible by both 11 and 9 For divisibility by 9, sum of digits is divisible ...

A man borrowed Rs.50,000 from a bank at 10% per annum, compounded annually. At the end of every year, he pays Rs.15,000 as part payment of the loan and interest. How much does he still owe to the bank after three such instalments? a) 17200 b) 16900 c) 15500 d) 14300 Sol: ...

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: