(Ans). (A)
(Question). For integers U and V, when U is divided by V, the remainder is odd. Which of the following must be true?
Options:
(A) At least one of U and V is odd
(B) The sum U + V is odd
(C) U and V share no common factors other than 1
(D) UV is odd.
(E) U is odd
(CoT). At least one of U and V is odd


(Ans). (E)
(Question). Find the product of the local value and absolute value of 4 in 20468?
Options:
(A) 1000
(B) 1200
(C) 1340
(D) 1450
(E) 1600
(CoT). Local value of 4 = 4 x 100 = 400
Place value of 4 = 4
There fore = 4 x 400 = 1600


(Ans). (E)
(Question). Find the smallest number which should be multiplied with 520 to make it a perfect square.
Options:
(A) 30
(B) 120
(C) 55
(D) 35
(E) None of these
(CoT). 520 = 26 * 20 = 2 * 13 * 22 * 5 = 23 * 13 * 5
Required smallest number = 2 * 13 * 5 = 130
130 is the smallest number which should be multiplied with 520 to make it a perfect squar


(Ans). (E)
(Question).
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Options:
(A) 124432
(B) 145366
(C) 157768
(D) 178432
(E) 220030
(CoT). (555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030