Q1. The number FIVE as written using block capitals contains exactly 10 strokes or segments of a straight line. Find a number which when written out in words (using no tricks) contains as many strokes as the number says.

Q2. The number of 1's in the binary notation of 289 - 1 is (a) 89 (b) 88 (c) 90 (d) 1

Q3. The highest power of 2 in 10! + 11! + 12! + 13! + ...+ 1000! is (a) 8 (b) 9 (c) 10 (d) 11

Q4. How many natural numbers between 1 and 900 are NOT multiples of any of the numbers 2, 3, or 5? a. 650 b. 660 c. 240 d. 250

Q1. An old man has Rs (1! + 2! + 3! + ...+ 50!), all of which he wants to divide equally (without fractions) among his n children. Then, n may be (a)5 (b)7 (c)9 (d)11

Q2.Find two whole numbers which, when multiplied together give an answer of 41.

Q3. What is the last digit of the number you get by multiplying the first 2002 odd prime numbers together? a. 1 b. 3 c. 5 d. 7 e. 9

Q4. Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product? (1) 1050 (2) 540 (3) 1440

Q1. The number FIVE as written using block capitals contains exactly 10 strokes or segments of a straight line. Find a number which when written out in words (using no tricks) contains as many strokes as the number says.

Q2. The number of 1's in the binary notation of 289 - 1 is (a) 89 (b) 88 (c) 90 (d) 1

Q3. The highest power of 2 in 10! + 11! + 12! + 13! + ...+ 1000! is (a) 8 (b) 9 (c) 10 (d) 11

M136. Find the value of 1.1! + 2.2! + 3.3! + ......+n.n!

M137. What will be the remainder when 25625 + 26 is divided by 247 ?

M138. The ratio of boys to girls at a school disco is 9:10. An extra 17 boys arrive and the ratio changes to 8:7.How many girls are there at the disco?

M139. 461 + 462 +463 +464 is divisible by a. 18 b. 17 c. 20 d. None

M121.

M122. Twenty-seven small red cubes are connected together to make a larger cube that measures 3 x 3 x 3. All of its external faces are painted white and the cube is dismantled.

M123. Find the remainder of 12345678987654321 divided by 328 ?

M106. For what value of 'n' will the remainder of 351n and 352n be the same when divided by 7?

M107. If a is real then the minimum value of a2 - 8a + 11 is ________?

M108. Prove that for any natural number, n, there exists a sequence of (n 1) consecutive numbers that are composite.

M109. Convert 101001001 from base 2 to base 5

M110. Prove that 99n ends in 99 for odd n

M91. A girl bought 15 pens costing ?1.84. She paid one pence more for each red pen than each blue pen. How many of each kind did she buy and at what price?

M92. Consider the following series. S(n) = [1/(√1+√2) ] + [1/(√3+√2) ] + [1/(√3+√4) ]+ . . + [1/(√(n+1)+√n) ] For which values of n is S(n) rational?

M93. the product of three consecutive integers, plus their mean, is always a. cube b. square c. both