Official Quant thread for CAT 2013

@ayushbhalotia

The distance between A and B is 19 km. A cyclist starts from A at a constant speed towards B. A car leaves from A 15 min later in the same direction. In 10 min it catches up with the cyclist and continues towards B; after reaching B, it turns around and in 50 min after leaving, car encounters the cyclist the second time.



The speed of the cycle is



1) 10



2) 12



3) 14



4) 15



5) 16 Skip



—

speed of cycle is 6km/hr nd of car is 15km/hr


How many different terms does the product (a + b + c+ d + e + f)(c + d + e + f + g) have?

s anyone using 2iim study material and how's it ? ? ?

The remainder obtained when 1! + 2! + 3!.... 95! is divided by 15

  • 14
  • 3
  • 1
  • 13

0 voters

a^ (log a/log b) =3

b^ (log b/log a)=81


Find a and b.

No options !

someone please solve !

The length of three edgea of a cuboid are increased by a%, b% & c%. The volume is inc. by v%, where V is an integer. How many values can V take if a, b, c are real no. and 10≤a,b,c≤20 ?

  • 11
  • 39
  • 41
  • cannot be determined.

0 voters

remainder when 5^2 + 5^3 +..... + 5^ 257 is divided by 52?
options - 0,1 , 51 and 17
approach plz? I hate remainder questions 😐


remainder when x^276 + 12 is divided by x^2 + x + 1, when x > 3..
options - 9, 11 , 13 , 15
agn approach?

minimum value of 2a^2+2b^2 + 5c^2 - 2ab - 4bc -4a -2c +20 for real a b and c?

optns - 20 , 15 , 10 , 0

Nine dots are placed on a piece of paper. Find the maximum number of right angled triangles which can be formed by joining any three dots.

find the lcm of (x+3)(x^2+5x+3) and (2x^2+7x+3)(x+3)

3 men, 4 women and 6 children can complete a work in 7 days.
A women= 2(work of a man)
A child=(1/2)(work of a man)
No. of women reqd. to complete the work in 7 days?


The total number of permutations of n (> 1) different things taken not more than 'r' at a time, when each thing may be repeated any number of times is ??

how to find sides of a triangle with given altitudes of length 3 , 4 and 5 cms... perimeter is asked... options i cant recall (involving fractions having primenumbers in roots šŸ˜› )

smallest number when divided by 12, 13 and 14 leaves remainder of 4 6 and 8

? dont remember d options.... what will be the approach?

this 1 related to trigon-metron... how many times wud cos x value be 0 when x wud vary frm 40 to 400??
i thgt of it as (400-40) / pi roughly equal to 100 plus figure, but none of the options was greater than 50... what am i missing?


Q.17 The volume of a cuboid is 144 cm3 and the area of the largest side is 'Aā€. How many possible values of A are there if the value of breadth of the given cuboid is the average of the length and the height.


a1

b4

c2

d3

e0


@techgeek2050 The triangles ABC and EDF would be the ones in which 90 degree angle is not part of any rectangle

2x+3y=10Where X and Y are positive real nos and x*y^(2/3)

1. 2*6^(1/3)2. 2*4^(1/3)3. 4*2^(1/3)4. 4*3^(1/2)

Let

p=n^4+ 4^n

Here

n is a natural number greater than 1.Which of the following statement(s) is(are) definitely true?

p is a composite number for all possible n.

p is prime number only for one odd value of n.

p is prime number only for all odd value of n.


  • None of the statements are definitely true
  • 1 only
  • 2 and 3
  • 2 only

0 voters