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1, REAL NUMBERS, , , , 1) If x and y are any two relatively prime, numbers, thentheirHCFis (i), A)l 8)0 Cay D)x-y, , 2) If m and n are co — primes, then HCF of m*, and n? is (), A)mxn B)m'xn? Cha po, , 3) If n is a natural number, then which of the, following expression ends in zero? t), A) (3 2)" 8) (5 x7)", cy (3.x 4)" po) (5 x2)", , 4) The number of prime factorsof72is ( ), A) B)2 c3 Dé, 5) How many prime factors are there in the, prime factorization of 240 {), A)20— a) Q3 Dé, , 6) After how many digits — will terminate(, A)3 8)4 c)2 D)1, , 7) Pp, q are co-primes and q = 2".S™ where m >n,, then the decimal expansion of p/q terminates, after pakes {), A)m Bn Cm.n D) men, , 8) The decimal expansion of 9/17is__ { ), A) terminating, , , , , , , , , , , , B) non-terminating & non-repeating, C) non-terminating & repeating, D) none, 9) The decimal value of 19/11 is__ { ), A) 1.72727272 8) 1.72, C) 1.72737475., D) 1.7272727272. ord, 10) 4.505050... 1 se number = (), A) rational B) irrational, C) prime D) composite, 11) 4.525225222... is number ( — ), A) rational B) irrational, C) prime D) composite, , 12)3%5%*7x11+3Sis____s number tt, , A) prime 8) composite, C) irrational D) none, , 13) The period of the decimal expansion of 19/21, — yD, A) 917461 8) 904761, ) 940761 D) none, , 14) If a rational number p/q has a terminating, decimal, then the prime factorization of q is, , , , , , of the form i, aj3"s" 8)2"s" p23" sD) none, 15) The prime factorization of 20677is__ (+), A)13 "29x71 B) 23x 29x37, C)19x 23x17 D)23x29x31, 16) The LCM of 208 and 209 is . 2, Aji 8) 209 C)208 =D) 208209, 17) The HCF of 1001 and 1002 is t 3, A)O = B)1_—sC) 1002x1002) none, IB) I Py, Pa, Papwu..uD, are CO-primes then their, LM is |, A) Pi + Bz + Dis t-nnnn *Pe, B) Ps. Pa. Parevnrene De, , ©) Pim PrP ne Pn D) none, 19) The logarithmic form of 12°=144is__(), , Ajlogiss 12 = 2 8) log, 12 = 144, Chlog,2144=2 0) logy 12 =z, 20) Expand log ~=* (), A) 3log 55 — log 4 B) 5 log3 — 4log2, C)3logS+4log2 0) 3logS — 4log2, 21) Expand log -_, A) 2logx + 3 logy + 4logz +Slogw, , 8) 2 log x — 3 logy + 4logz—Slogw, C)2logx + 3logy — 4logz— + Slogw, 0) 2 log x — 3logy — 4logz +Slogw