Questions:
1)
A + B + C + D = D + E + F + G = G + H + I = 17 where each letter represent a number from 1 to 9. Find out number of ordered pairs (D,G) if letter A = 4.
a) 0 b) 1 c)2 d) 3 e) none of these
2)
The sequence 1, 3, 4, 9, 10, 12….. includes all numbers that are a sum of one or more distinct powers of 3. Then the 50th term of the sequence is
a. 252 b. 283 c. 327 d. 360 e) none of these
3)
Given that g(h(x)) = 2x² + 3x and h(g(x)) = x² + 4x − 4 for all
real x. WHich of the following could be the value of g(-4)?
a)1 b) -1 c) 2 d) -2 e) -3
4)
If a, x, b and y are real numbers and ax+by = 4 and ax² +by² = 2 and
ax³ + by³= −3 then find (2x − 1)(2y − 1)
ax³ + by³= −3 then find (2x − 1)(2y − 1)
a)4 b) 3 c) 5 d) -3 e) cannot be determined.
5)
K1,K2,K3…K30 are thirty toffees. A child places these toffees on a circle, such that there are exactly n ( n is a positive integer) toffees placed between Ki and Ki+1 and no two toffees overlap each other. Find n
a)4 b) 5 c) 9 d) 12 e) 13
6)
For the n found in previous question, which of the two toffees are adjacently
placed on the circle? ( All other conditions remaining same)
a) K11 and K13 b) K6 and K23 c) K2 and K10 d) K11 and K18
e) K20 and K28
e) K20 and K28
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