Official Quant thread for CAT 2013

Sol??

Sol??

How many triangles with positive area can be drawn on the coordinate plane such that the vertices have integer coordinates (x,y) satisfying 1≤x≤3 and 1≤y≤3?


OA- 76 . I cant figure out beyond 9c3-6 . Please somebody solve and post the soln with explanation
😠

In how many ways can 2700 be written as a product of 8 distinct integers? (

a) 6 (b) 0 (c) 4 (d) More than 6

Two different solutions of honey, milk and water are mixed with each other three times in varying proportions. The concentration of honey and milk in the three resulting solutions are found to be (10%, 16%), (12%, 12%) and (16%, x%) respectively. What is the value of x?

(a) 4 (b) 7 (c) 8 (d) 10

How many numbers are there between 0 and 1000 which on division by 2, 4, 6, 8 leave remainders 1, 3, 5, 7 respectively?

(a) 21 (b) 40 (c) 41 (d) 39

@ralins

Two different solutions of honey, milk and water are mixed with each other three times in varying proportions. The concentration of honey and milk in the three resulting solutions are found to be (10%, 16%), (12%, 12%) and (16%, x%) respectively. What is the value of x? (a) 4 (b) 7 (c) 8 (d) 10



c

@ralins

Two different solutions of honey, milk and water are mixed with each other three times in varying proportions. The concentration of honey and milk in the three resulting solutions are found to be (10%, 16%), (12%, 12%) and (16%, x%) respectively. What is the value of x? (a) 4 (b) 7 (c) 8 (d) 10


(C)

Method Please! 😃

questions in the image: method

Triangles ABC and DEF are similar. If Angle C = Angle E, AB=4.2 cm, DE = 2.1 cm, BC = 6.4 cm EF = 2.8 cm then, find EF and AC

  • AC = ?
  • EF = ?

0 voters

Let f(x) be a quadratic function in x such that it has its max value as 3 at x=2 and it is also given that f(5)= -6. Then find f(100).

Two identical square of side length 11 cm are kept one above the other such that the square above completely overlaps with the square below.Now if the square above is rotated 45 degree about its center , what is the ratio of the area common to both squares to remaining area?

a 1+sqrt(2)
b 1/(1+ sqrt(2))
c(sqrt(2) -1)/2sqrt(2)
d (2sqrt(2) -1)/2sqrt(2)
e 1+sqrt(2)/2

solution please




if the harmonic mean between two positive number is to the inverse of there geometric mean as 12:13 ,then the number could be in ratio



Find the maximum area of a quadrilateral (approximately) whose three sides have length 6 cm each.


A. 25 cm² B. 36 cm² C. 47 cm² D. 58 cm²


How many isosceles triangle with integer sides are possible such that sum of two of the side is 12...?
A. 11
B. 6
C. 17
D. 23
-@A

129, 161 and 193 when divided by same divisor leaves same remainder. Find the divisor?

ABC is a three digit number in which A>0 .the value of ABC is equal to the sum of the factorial of its three digits .what is the value of B?

@barneywaitforitstinson

How many ordered sets of positive integer triples (a,b,c)are there such that a+b×c=100?



1) t



2) t Skip



×

76

If n is a positive integer such that 8n + 1 is a perfect square, then


A. n must be odd B. n cannot be a perfect square C. 2n cannot be a perfect square D. none of the above