Q1) N = 3^{P} 4^{Q} Find the number of factors of N excluding N? 1) 2PQ + P + 2Q + 1 2) 2PQ + P + 2Q 3) PQ + P + Q  1 4) PQ  P  2Q  1 Q2) A group of 20 students with an average weight of 16.5 Kg went on a picnic. Over there a group of 'n' students with an average weight of 19.5 Kg joined the group as a result of which the average weight of the entire group is 18 Kg. Find the value of 'n'. 1) 20 2) 19 3) 40 4) 10 Q3) Find the remainder when 5^{y} is divided by 6. 1) 1 if y is divisible by 8 2) 3 if y is divisible by 6 3) 2 if y is divisible by 7 4) 4 if y is divisible by 11 Q4) If radius of a sphere is increased by 10%, find the percentage change in it’s Surface Area? 1) 40% 2) 10% 3) 20% 4) 21% Q5) How many palindromes of 7 digits are possible. 1) 5000 2) 9000 3) 4000 4) 4536 Q6) If mean of A and B is 21, A and C is 25 and B and C is 31, then find the value of B + 2C? 1) 69 2) 90 3) 57 4) 97 Q7) If the roots of the quadratic equation y^{2}  3y  log _{ 3} P = 0 are all real, then the minimum value of P is 1) 3^{  2.25} 2) 3^{  2} 3)  3^{ 2.25} 4)  3^{  1.25} Q8) Two watches are sold at Rs. 567 each, one at a profit of 22% while another at a loss of 22%. Find the overall profit or loss percentage. 1) 4.84% profit 2) No profit no loss 3) 4.84% loss 4) 5.29% loss Q9) A speaks truth in 60% of the cases and B in 80% of the cases. In what percentage of the cases are they likely to contradict each other on the same fact? 1) 70% 2) 44% 3) 48% 4) 60% Q10) A coin is tossed n times. Find the probability of getting a head on k^{th} toss of the coin (Given that n ≥ k)? 1) (0.5)^{n} 2) (0.5)^{k} 3) 0.5 4) (0.5)^{(n  k)} 1) 2 2) 1 3) 1 4) 4 5) 2 6) 4 7) 1 8) 3 9) 2 10) 3
1) N = 3^{P} 4^{Q} = 3^{P} 2^{2Q}
