If The Ratio Of Hm And Gm Of Two Quantities Is 12 Is To 13 Then The Ratio Of The Numbers Is
(1) 1 : 2 (2) 2 : 3 (3) 3 : 4 (4) None of these Solution: Let a and... View Article
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If A B C Are In Ap And Mod A Mod B Mod C Less Than 1 And X Eq 1 Plus A Plus A2 Infinity Y Eq 1 Plus B Plus B2 Then X Y Z Shall Be In
(1) AP (2) GP (3) HP (4) none of these Solution: x = 1 + a +a2+…∞ x = 1/(1-a)... View Article
If A B C Are In Gp And X Y Are The Arithmetic Means Between A B And B C Respectively Then A By X Plus C Y Is Equal To
(1) 0 (2) 1 (3) 2 (4) ½ Solution: Since a, b, c are in GP b2 = ac Since... View Article
If A And B Are Two Different Positive Real Numbers Then Which Of The Following Relation Is True
(1) 2√(ab) > a+b (2) 2√(ab) < a+b (3) 2√(ab) = a+b (4) none of these Solution: We know AM... View Article
If The Arithmetic Mean Of Two Numbers Be A And Geometric Mean Be G Then The Numbers Will Be
(1) A ± (A2 -G2 ) (2) √A ± √(A2-G2) (3) A ± √(A+G)(A-G) (4) (A ± √(A+G)(A-G))/2 Solution: Let... View Article
If The Arithmetic And Geometric Means Of A And B Be A And G Respectively Then The Value Of A G Will Be
(1) (a-b)/2 (2) (a+b)/2 (3) [(√a – √b)/√2]2 (4) 2ab/(a+b) Solution: Let a and b be the numbers, Then AM,... View Article
The Sum Of Three Decreasing Numbers In Ap Is 27 If 1 1 3 Are Added To Them Respectively The Resulting Series Is In Gp The Numbers Are
(1) 5,9,13 (2) 15,9,3 (3) 13,9,5 (4) 17,9,1 Solution: Let a+d, a, a-d are the three numbers in AP. Sum... View Article
If The Arithmetic Geometric And Harmonic Means Between Two Distinct Positive Real Numbers Be A G And H Respectively Then The Relation Between Them Is
(1) A > G > H (2) A > G < H (3) H > G > A (4) G... View Article
If Sum Of An Infinite Geometric Series Is 4 By 5 And Its First Term Is 3 By 4 Then Its Common Ratio Is Eq
(1) 7/16 (2) 9/16 (3) 1/9 (4) none of these Solution: Given sum of infinite geometric series = 4/5 a... View Article
In A Gp T2 Plus T5 Eq 216 And T4 To T6 Eq 1 4 And All Terms Are Integers Then Its First Term Is
(1) 16 (2) 14 (3) 12 (4) None of these Solution: For GP, tn = arn-1 t2 = ar t5... View Article
If The Sum Of The Series 1 Plus 2byx Plus 4 By X2 Plus 8 By X3 Infinity Is A Finite Number Then
(1) x >2 (2) x>-2 (3) x >1/2 (4) none of these Solution: 1 + 2/x +4/x2 + 8/x3 +…∞... View Article
Consider An Infinite Gp With First Term A And Common Ratio R Its Sum Is 4 And The Second Term Is 3 By 4 Then
(1) a = 4/7, r = 3/7 (2) a = 3/2, r = 1/2 (3) a = 2, r =... View Article
If X Is Added To Each Of Number 3 9 21 So That The Resulting Numbers May Be In Gp Then The Value Of X Will Be
(1) 3 (2) 1/2 (3) 2 (4) 1/3 Solution: 3+x, 9+x, 21+x are in GP. (9+x)2 = (3+x)(21+x) x2+18x+81 =... View Article
If S Is The Sum To Infinite Of A Gp Whose First Term Is A Then The Sum Of The First N Terms Is
(1) S(1-a/S)n (2) S(1-(1-a/S)n) (3) a(1-(1-a/S)n) (4) none of these Solution: Given first term = a Sum to infinity, S... View Article
X Eq 1 Plus Aplus A Sq Infinity Y Eq 1 Plus B Plus B Sq Infinity Then The Value Of 1 Plus Ab Plus A2b2 Infinity
(1) xy/(x+y-1) (2) xy/(x+y+1) (3) xy/(x-y-1) (4) xy/(x-y+1) Solution: Given x = 1+a+a2+…∞ Here first term, a = 1, r... View Article
If Y Eq X X2 Plus X3 X4 Then The Value Of X Will Be
(1) y + 1/y (2) y/(1+y) (3) y – 1/y (4) y/(1-y) Solution: Given y = x – x2 +... View Article
If 1 Plus Sin X Plus Sin Sq 2x Plus Upto Infinity Eq 4 2root3 Then X
(1) π/3, 2π/3 (2) π/6, π/3 (3) π/3, 5π/6 (4) 2π/3, π/6 Solution: Given 1 + sin x + sin2x... View Article
If A Eq 1 Plus R Z Plus R 2 Z Plus R 3z Infinity Then The Value Of R Will Be
(1) A(1-A)z (2) ((A-1)/A)1/z (3) (1/A – 1)1/z (4) A(1-A)1/z Solution: Here a = 1 Common ratio, r = rz... View Article
If 3 Plus 3 Alpha Plus 3 Alpha Sq Infinity Eq 45 8 Then The Value Of Alpha Will Be
(1) 15/23 (2) 7/15 (3) 7/8 (4) 15/7 Solution: Here a = 3 Common ratio, r = α Sum of... View Article
If The Product Of Three Consecutive Terms Of Gp Is 216 And The Sum Of Product Of Pair Wise Is 156 Then The Numbers Will Be
(1) 1, 3, 9 (2) 2, 6, 18 (3) 3, 9, 27 (4) 2, 4, 8 Solution: Let a/r, a,... View Article
