Q21.The sum of n terms of two AP are in the ratio (3n+8): (7n+15). The ratio of their 12th term is:
Correct answer: 7: 16
Q22.The value of 1 1 1 3 9 27 9.9.9 ……up to ∞ ∞ ∞, is:
Correct answer: 3
Q23.The total number of ancestors, i.e. parents, grandparents, great grandparents and so on, that a person has during the ten generations preceding his own is:
Correct answer: 2046
Q24.In an HP the fourth term is two times the eighth term. The first term of the HP will be:
Correct answer: Seven times the seventh term
Q25.If 2 2 2 2 1 2 3...... n 4900 + + + + =, then the number of terms is:
Correct answer: 24
Q26.The nth term of the progression 2.3 + 3.4 + 4.5 +….is:
Correct answer: (n + 1)(n + 2)
Q27.12 + 22 + 32 + ….+1002 = __________.
Correct answer: 338350
Q28.What is the arithmetic mean of the three-digit numbers formed by using 1, 5 and 9?
Correct answer: 555
Q29.If log102, log10(2x –1) and log10(2x +3) be three consecutive terms of an arithmetic progression, then which of the following is true?
Correct answer: x = log25
Q30.Complete the series: 34, ___, ___, ___, ___, 48
Correct answer: 36.8, 39.6, 42.4, 45.2
Q31.If 5, x, 405 is in G.P., then what is the value of x?
Correct answer: +45
Q32.If a, b, c are positive real numbers then the least value of a + b b + c c + a + + c a b is:
Correct answer: 6
Q33.If the arithmetic mean of the two numbers a and b (a, b > 0) is five times their geometric mean, then a + b a – b is equal to:
Correct answer: 5 6/12
Q34.If m is the AM (Arithmetic-Mean) of two distinct real numbers l and n (l, n >1) and G1, G2 and G3 are their geometric means between l and n, then 4 4 4 1 2 3 G + 2G + G equals:
Correct answer: 4 l m2/n
Q35.If the product of n positive real numbers, a1, a2, a3............. an is unity, then their sum is:
Correct answer: Never less than n
Q36.If a, b, c are in A.P., then which of the following is NOT true?
Correct answer: 1 1 1,, b c c a a b + + + are in A.P.
Q37.The arithmetic mean and geometric mean of 1 and 9 is______ and _______, respectively.
Correct answer: 5; 3
Q38.The nth term of an 1 A.P. 3,,2,..........is: 2
Correct answer: (5n 11)/2
Q39.If 1 1 1,,, b + c a + c b + a are in A.P. then a2, b2, c2 are in:
Correct answer: AP
Q40.If the rth, (r+1)th and (r+2)th terms in the expansion of (1+x)14 are in A.P., then the value of r is given by:
Correct answer: 9