Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

1) Let a,b be the two positive numbers, where a > b and 4 x GM = 5 X HM for the nos. Then a is A) 4b B) 1/4 b C) 2b D) b 2) In the value of 100 factorial, the no. of 0s at the end is... A) 11 B) 22 C) 23 D) 24 3) The sum of all proper divisors of 9900 is A) 33851 B) 23952 C) 23951 D) none of these 4) In the sequence 1,2,2,3,3,3,4,4,4,4..., where n consecutive terms have value n, the 150th term is A) 17 B) 16 C) 18 D) none of these 5)log(5c/a), log(3b/5c) and log (a/3b) are in AP, where a, b and c are in GP, then a.a.c are the lengths of the sides of A) Isoceles Triangle B) equilateral C) scalene D) none 6) The co-efficiant of x^15 in the product (1 - x) ( 1 - 2x) (1 - 4x) ( 1 - 8x) ... (1- 2^15 x) is equal to A) 2^105 - 2^121 B) 2^121 - 2^105 C) 2^120 - 2^104 D) none of these 7) The co-efficent of x^49 in product (x - 1) (x - 3)...(x - 99) is A) -99^2 B) 1 C) -2500 d) none of these 8)The sum of n terms of the series 1^2 + 2.2^2 + 3^2 + 2.4^2 +.... is [n(n+1)^2]/2 when n is even. What is sum when n is odd? 9)Th esolution set of mod of [(x +1 )/x] + mod of (X + 1) = (x+1)^2 / mod of (x) is A) x>= 0 B) x > 0 and x = -1 C) X= -1 or 1 D) none of these 10) mod of [(Z - 1)/(z +1)]= 1 represents A) circle B) ellipse C) a straight line D) none of these

1) Let a,b be the two positive numbers, where a > b and 4 x GM = 5 X HM for the nos. Then a is

A) 4b
B) 1/4 b
C) 2b
D) b

2) In the value of 100 factorial, the no. of 0s at the end is...
A) 11
B) 22
C) 23
D) 24

3) The sum of all proper divisors of 9900 is
A) 33851
B) 23952
C) 23951
D) none of these

4) In the sequence 1,2,2,3,3,3,4,4,4,4..., where n consecutive terms have value n, the 150th term is
A) 17
B) 16
C) 18
D) none of these

5)log(5c/a), log(3b/5c) and log (a/3b) are in AP, where a, b and c are in GP, then a.a.c are the lengths of the sides of

A) Isoceles Triangle
B) equilateral
C) scalene
D) none

6) The co-efficiant of x^15 in the product (1 - x) ( 1 - 2x) (1 - 4x) ( 1 - 8x) ... (1- 2^15 x) is equal to

A) 2^105 - 2^121
B) 2^121 - 2^105
C) 2^120 - 2^104
D) none of these

7) The co-efficent of x^49 in product (x - 1) (x - 3)...(x - 99) is
A) -99^2
B) 1
C) -2500
d) none of these

8)The sum of n terms of the series 1^2 + 2.2^2 + 3^2 + 2.4^2 +.... is [n(n+1)^2]/2 when n is even. What is sum when n is odd?

9)Th esolution set of mod of [(x +1 )/x] + mod of (X + 1) = (x+1)^2 / mod of (x) is

A) x>= 0
B) x > 0 and x = -1
C) X= -1 or 1
D) none of these

10) mod of [(Z - 1)/(z +1)]= 1 represents
A) circle
B) ellipse
C) a straight line
D) none of these


Grade:11

4 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear Vishrant Vasvada

a,b be the two positive numbers, where a > b and

   4 x GM = 5 X HM

or 4(ab)^.5 =5*2ab/(a+b)

simplify

4(a/b)2 - 17 (a/b) +4 =0

solve

a/b = 4

a=4b

option a is correct

please post seperate question in seperate post


Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly.
 We are all IITians and here to help you in your IIT JEE preparation.

 All the best vishrant .
 
Regards,
Askiitians Experts
Badiuddin


neha
11 Points
6 years ago
4.G.M.=5.A.M.
4root(ab)=5(2ab/a+b)
5root(ab)(a+b)=10ab
squaring both side
16(a+b)square(ab)=100(ab)square
16(a+b)square=100ab
16(a+b)square-100ab+0
16asquare+16bsquare+32ab-100ab=0
16asquqre+16bsquqre-68ab+0
4asquare-17ab+4bsquare=0
4asquqre-16ab-ab+4bsquare=0
4a(a-4b)-b(a-4b)=0
(a-4b)(4a-b)=0
hence
a=4b
Vikaa
22 Points
4 years ago
If a and b are two positive numbers such that a+b=640, where a is 100 greater than b, then find a and b
Vikaa
22 Points
4 years ago
If a and b are two positive numbers such that a+b=640, where a is 100 greater than b, then find a and b.

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free