Official Quant thread for CAT 2013

There are two irreducible fractions such that one fraction has 700 as denominator and other fraction has 800 as denominator. If we add these two fractions, what is the minimum value of denominator in the resulting irreducible fraction?

A straight line passing through the point (4,5) intersects the X-Y axis at points A and B respectively. What is the difference between the maximum and minimum value of the length AB?




(a) 1 (b) 12/3+22/3

sup> (c) (12/3+22/3)2/3 (d) None of these

The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10 n, on the nth day of 2007 (n = 1, 2, ..., 100), and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89 + 0.15n, on the nth day of 2007 (n = 1, 2, ..., 365). On which date in 2007 will the prices of these two varieties of tea be equal?

(1) May 21

(2) April 11

(3) May 20

(4) April 10

(5) June 30 mgmg

Ram and Sham are in a horse race with 6 contenders .How many different arrangement of finishes are there where sham always finishes before Ram and all the horses finishes the race ?

720 / 360 /24 /120

Is it 360 ??😲😲

What is the highest possible value of 'n' for which 3^1024 – 1 is divisible by 2^n?

11 / 12 / 10

How many 7 digit numbers, which are multiple of 7, end in 7

Find the number of triplets (x, y, z) from {1, 2, 3, ...., n + 1} such that z > max(x, y)


Note:- x and y can be equal

A string 30 cm long when wound across a cylinder makes 25.5 rounds. How many rounds would a string of 45 cm long make when wound across a cylinder. The radii of the former and the latter cylinder are in the ratio of 4:3.

I have two questions

1) Find the remainder when 43^101 + 23^101 is divided by 66. Ans is 0 , Can someone explain the process please.

2) Find the remainder when 2222^5555 + 5555^2222 is divided by 7. Please explain the process for this aswell.

The nth term and the sum of the first n terms of a sequence are Tn and Sn respectively. If Tn = Tn-1 - Tn-2 and Tn≠0, then which of the following is definitely true?

a. S88 = S188

b. S66 = S160

c. S100 = S160

d. S120 = S142



If p and q are two points on the line 3x+4y=-15 such that op=oq=9 units , find the area of the triangle poq...

how many times these two curves intersect

y= x^3+x^2+7

y=x^2+x+7


the perimeter of a triangle is 105 cm. the ratio of altitude is 3:4:5. find the sides of triangle


In a triangle ABC, AB=10 cm, AC =12 cm. AD is the angular bisector of angle A. DC =8 cm. Find AD (in cm)

  • 17/3
  • 19/3
  • 5
  • 20/3

0 voters

In a triangle PQR, PQ =3 cm, PR =4 cm and QR =6 cm. Find length of the median drawn from P to QR (in cm)

  • (3.5)^1/2
  • (1.5)^1/2
  • (2.5)^1/2
  • (4.5)^1/2

0 voters

Q2

QuantExpert - Q.O.D


@Amanjeet.oberoi

In a triangle ABC, AB=10 cm, AC =12 cm. AD is the angular bisector of angle A. DC =8 cm. Find AD (in cm)



1) 5



2) 17/3



3) 19/3



4) 20/3 Skip



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i think answer is missin ot here!! correct ans: (200/3)^(1/2)

We are given 1997 distinct positive integers, any 10 of which have the same least common multiple. Find the maximum possible number of pairwise coprime numbers among them.

the sides of cyclic quadilateral are 9,10,12,16 .if one o it diagonal are 14 , find the other diagonal


@med2mba

A line with the equation y = px + q is reflected over the line y = x. Is the reflection of this line parallel to the line y = mx + n?



(1) m = p + 2



(2) m = 3p



1) only a is sufficient



2) only b alone is sufficient



3) both a n b combined can ans



4) data insufficient to ans Skip



×

both a n b are nt suffient to ans ..as it requires m=1/p (on replacing y=x and comparing the slps)..on taking and b p=1,m=3 which is nt suff