Wednesday, 10 June 2015

AP GP - QA


If a, b, c are distinct +ve reals in GP and Loga_c, Logc_b, Logb_a (Logb base a), are in AP , then find the common difference of the AP.

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The first second and third term of a GP equals to first seventh and 12th term of an AP. If first term and common difference have opposite sign . Find the 37th term of AP.

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NOTE : If a series is in HP, then reciprocal of each term must be in AP. 
If a series is in GP. Then log of each term present in the series would be in AP. 
Example : 1/1, 1/3,1/5,1/7 is in HP, then 1,3,5,7 are in AP.
2,4,8,16 are in GP, log 2, log 4, log 8, log 16 are in AP.

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If a,b,c are in A.P,then a/bc,1/c and 1/b are in AP,GP,HP or nota?

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Can somebody explain what will be the general term of #12???

Sonal Gupta's photo.
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1)In miniOlympics this year, there will be 100 individual events and 18 countries will be participating. If it is certain that no country will win more than 6 events, then identify the least number of countries that will win at
least one event.
(1) 0 (2) 1
(3) 17 (4) 18
2). Till 2000, Dada won 38% of the matches, when he captained Indonesia. In 2001, he played 40 matches, 22 of which Indonesia won. Dada has a captaincy record of more than 40% wins. What is the largest number ...

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Indrajeet Singh's photo.
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If x-2y=4, the minimum value of xy is?

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if x + y + z = 29

find the maximum value of 
(x-2) (y-7) (z+4)

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If log 3, log(3^x-2) and log(3^x+4) are in arithmetic progression, then x is equal to
8/3
8
log(3) 8 [3 in base]
log(2) 3 [2 in base]

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If a,b,c are in H.P. , b,c,d are in GP and c,d,e are in AP then ab²/ (2a-b)² is equal to

A. a
B. b
C. c...

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Loga logb and logc will be in which of the following series is the given that a b and c are in gp?
A) hp 
B)gp
C) ap 
D)no generalized series fits in this scenario

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‪#‎Progression‬

5. Find the sum of series 1.2+2.2²+3.2³+...100*2^100 .

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In maxima minima questions, how to determine that we have to use AM=>GM ?

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‪#‎Numbers‬

Product of 3 integers is 12144, then their minimum sum is ?

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‪#‎CAT15APGPSeries‬, what is formula for sum of n terms in AGP series if a is first term of A.P and r is common ration of G.P. ?

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I am Going to post questions on Ap, Gp starting from the basic questions to the moderate level
I will Start at 5 pm.
‪#‎cat2015‬

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If in a triangle sin p ,sin q,sin r are in a.p then 
A the altitudes are in a.p
B ------------------------------h.p
C the medians are in g.p
D -----------------------------a.p

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The sum of first 10 terms of is S1 and d sum of d next 10 terms (11th-20th) is S2 . find common ratio.

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Max value of g(x)=(8+x)^3 (8-x)^4 for any real x?

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. P q and r form an AP if 1 is added to p or 2 is added to q, they form gp. Find q ?
6
10
12
14...

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P q r is in AP and p+1,q,r+2 are in GP, find the value of q?

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‪#‎XAT2015‬
There are novels of chetan bhagat having numeric terms which are forming an AP and others are forming an GP
What is the difference between the middle terms of that AP and GP.?
A)- 0
B)- 1/2...

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‪#‎XAT‬
There are novels of chetan bhagat having numeric terms which are forming an AP and others are forming an GP
What is the difference between the middle terms of that AP and GP.?
A)- 0
B)- 1/2...

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If a,b,c are in AP and a,b,d are in GP , then a, a-b, d-c are in 
I) AP
II) HP
III) GP
IV) None

If a,b,c are in HP, then a/(b+c-a) , b/(c+a-b), c/(a+b-c) are in
I) ap
II) hp
III)gp
IV) none

CAT 2014 paper detailed
analysis and pattern
Attempt: 30 quant and verbal 32
cutoffs for 99%ile – 25 plus in each section
95%ile 20 plus attempt...

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In a set of 4 numbers the first three in GP, the last three in AP with common difference 6. If the 1st number as sama as the 4 th, find the four numbers.

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Just one day before cat. Now stop posting questions, take a deep breathe and do bakchodi pacman emoticon 
Cat k baad kya plans hain.. Kitne log apne bf gf se milne ja re hain pacman emoticon i can name many in this group with such plans grin emoticon

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Three positive numbers from an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. Then the common ratio of the G.P. is

(1) 2+ √3
(2) 3 + √2
(3) √2 - √3...

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How many zeroes at the end of (7^6)! If it is written in base 7? 
16807
33
19608
39216

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Box 1 contains three cards bearing numbers 1, 2,3; 
box 2 contains five cards bearing numbers 1, 2, 3, 4, 5; 
and box 3 contains seven cards bearing numbers 1, 2, 3, 4, 5, 6, 7. 
A card is drawn from each of the boxes. 
Let xi be the number on the card drawn from the ith box, i = 1, 2, 3.

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Q. If a-b/2, b/2, c-b/2 are in GP, then a, b, c are in __?

a) AP 
b) GP
c) HP...

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If a^2,b^2 & c^2 are in A.P. then b+c,c+a, a+b are in

AP. GP. HP

Solution with approach

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Manisha Dahiya's photo.
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