Official Quant thread for CAT 2013

MBA CAT 2022
561
@vijay_chandola said:
Two functions, f and g, are such that 4*{g(x)}2 – 2f(x)f(–x) = {f(x)}^2 + {f(–x)}^2. If g(4) = 20, what is the value of g(–4)?
is ans 20
562
@rkshtsurana said:
find the number of integral points lying on the circle x^2 + y^2 =25

Do you have any other method than manual counting..? :splat:


@IIM-A2013 said:
@rkshtsuranai don't know any one today only i have joined.please anybody who reads this.suggest me
@angel.mehra said:
plz suggest me also
P.S. keep the thread clean. No spamming!!
Edit your posts with some answers or questions.
563
@vijay_chandola said:
Do you have any other method than manual counting..? P.S. keep the thread clean. No spamming!! Edit your posts with some answers or questions.
see the trick is...radius agar perfect square hga..ya specifically pytagorean triplet hga toh uske 8 points extra banegne.....so 25 me 3 4 5 ka pyta tha toh 4+8 = 12 hgye...
let if x^ 2 + y^2 = 625 hta..then
4 + 8 + 8 = 20 hte....7 24 25 ka pyta and 15 20 25 ka pyta
564
@krum said:
koi trick hai kya ?ya 20 hi hai?
@angel.mehra said:
is ans 20
2k13 ki tayyari Basic se kar rahe hain na 😛 :P
So, confidence boosters are needed in between :mg:

Yes OA is 20
565
Find the no of soluions of m! = a! + b! + c!
566
@rkshtsurana said:
Find the no of soluions of m! = a! + b! + c!
3!=2!+2!+2!
1 bas?
567
@rkshtsurana said:
Find the no of soluions of m! = a! + b! + c!
one soln?
568
Is integer N a prime number?
I. N = p! + 1 for some prime number p
II. q! + 1 number q

a) if the question can be answered using statement I alone but not using II alone
b) if the question can be answered using statement II alone but not using I alone
c) if the question can be answered using either statement alone
d) if the question can be answered using statements I and II together but not using either
alone
e) if the question cannot be answered even by using both statements I and II together

569
According to the survey, the population of a city increase by 10% every year for two years and then decreases by 10% every year for two years. If population just before 4 years was 100000, what was it after four years?
108900
98010
96100
92400
980100
570
@vijay_chandola said:
Is integer N a prime number?I. N = p! + 1 for some prime number pII. q! + 1 a) if the question can be answered using statement I alone but not using II aloneb) if the question can be answered using statement II alone but not using I alonec) if the question can be answered using either statement aloned) if the question can be answered using statements I and II together but not using eitheralonee) if the question cannot be answered even by using both statements I and II together
e??
571
@vijay_chandola said:
Is integer N a prime number?I. N = p! + 1 for some prime number pII. q! + 1 a) if the question can be answered using statement I alone but not using II aloneb) if the question can be answered using statement II alone but not using I alonec) if the question can be answered using either statement aloned) if the question can be answered using statements I and II together but not using eitheralonee) if the question cannot be answered even by using both statements I and II together
B)

N = 2! + 1 = 3 is prime..............4! + 1 = 25 not prime cannot be answered from 1

2 no prime is coming in range..so we can ans NO

@vijay_chandola = OA?
572
@rkshtsurana said:
Find the no of soluions of m! = a! + b! + c!
1


@Shray14 said:
According to the survey, the population of a city increase by 10% every year for two years and then decreases by 10% every year for two years. If population just before 4 years was 100000, what was it after four years? 108900980109610092400980100
100000*1.1*1.1*.9*.9=980100
573
@Shray14 said:
According to the survey, the population of a city increase by 10% every year for two years and then decreases by 10% every year for two years. If population just before 4 years was 100000, what was it after four years? 108900980109610092400980100
100000*(90)^2*(110)^2/(100)^4=98010
@vijay_chandola said:
Is integer N a prime number?I. N = p! + 1 for some prime number pII. q! + 1 a) if the question can be answered using statement I alone but not using II aloneb) if the question can be answered using statement II alone but not using I alonec) if the question can be answered using either statement aloned) if the question can be answered using statements I and II together but not using eitheralonee) if the question cannot be answered even by using both statements I and II together
I. is not sufficient
II. not getting any prime in between,

B hai kya?
@vijay_chandola
574
@krum said:
100000*(90)^4*(110)^4/(100)^8=9605996100? e?
@krum ..bro its 98010..
100000*1.1*1.1*0.9*0.9
575
Let P(x) be a polynomial with integer coefficients such that P(17) = 10 and P(24) = 17.

If P(n) = n + 3 has two distinct integer solutions n1 and n2, then find the sum n1 + n2.
OPTIONS

1) 41
2) 27
3) 30
4) 34
5) 53
576
@krum said:
100000*(90)^4*(110)^4/(100)^8=9605996100? e?
Sir yeh value calculator se nikali kya..
577
@Shray14 said:
According to the survey, the population of a city increase by 10% every year for two years and then decreases by 10% every year for two years. If population just before 4 years was 100000, what was it after four years? 108900980109610092400980100
98010
578
Consider the following quadratic equation:

The roots of this equation lie in the interval (창€“4, 5). Find the sum of [p] where p takes all its possible values.

[x] indicates the Greatest Integer Function less than or equal to x.
OPTIONS

1) 0
2) 4
3) 5
4) None of these


@Shray14 bro, i'm lazy beyond imagination
579
@Shray14 said:
e??
@krum said:
100000*(90)^4*(110)^4/(100)^8=9605996100? e?
Do not fall for the trick 😛 :D
It's a good question. 1 aur try do
580
@krum said:
Let P(x) be a polynomial with integer coefficients such that P(17) = 10 and P(24) = 17.If P(n) = n + 3 has two distinct integer solutions n1 and n2, then find the sum n1 + n2.OPTIONS1) 41 2) 27 3) 30 4) 34 5) 53
30??