Official Quant thread for CAT 2013

triangle ABC, medians AM and CN to the sides BC and AB respectively, intersect at point O. Let P be the mid-point of AC and MP intersect CN at Q. If the area of the triangle OMQ is 's' square units, the area of ABC is


16s
18s
12s
24s

OA is 24s

ABCD is a cyclic quadrilateral and the points A, B and C form an equilateral triangle. What is the sum of the segments DA and DC?


DB
DB/2
rt2*DB
DB/rt2

OA is a

PQRS is a trapezium with PQ and RS parallel. PD= 6cm , QR= 5cm, RS= 3cm, PS= 4cm. The area of PQRS is:

27
18
12
none

OA is 18

The side AB of rectangle ABCD is tangrnt to a cicle which passes through the points C and D> The centere of the circle does not loie within the recatngle ABCD. If the length of the rectangle is twice the breadth, then what is the radius of the circle (in terms of breadth of the rectangle) ?


Breadth(2-rt2)

Breadth

2*Breadth

None


OA is B


The sides of the triangle are given by: rt(b^2 + c^2), rt(c^2 + a^2) and rt( a^2 + b^2) where a,b,c are positive. The area of the triangle equals:


1/2*rt(b^2*c^2 + c^2*a^2 + a^2*b^2)
1/2*rt(a^4 + b^4 +c^4)
rt3/2*rt(b^2*c^2 + c^2*a^2 + a^2*b^2)
rt3/2(bc + ac + ab)

OA is A

If in a triangle ABC with a,b,c denoting the sides opposite to angles A, B and C respectively, a=2b and A=3B ,then the triangle


is isosceles
is right angled but not isosceles
is right angeld and isosceles
not necessarily any of the above

OS ia B

A piece of paper is in the shape of a right angled triangle and is cut along the line that is paralle to the hypotenuese, leaving a smallertriangle. There was a 35% reduction in the length if the hypotenuese of the triangle. If the area of the original triangle was 34 sq inches before the cut, what is the area of the smaller triangle?


16.665
16.565
15.465
14.365

OA is D

AB is the hypotenuese in the right angled triangle ABC. N is the point inside the triangle which divides the triangle in three equal parts( ABN, CAN and BCN). What is the distance between the circumcentre of this triangle from point N?


AB/4
AB/6
AB/3
2/(1+rt3)

OA is A

Two circles with centres C1 and C2 and radii 6cm and 8cm respectively cut each other at right angles. Find the length of the commonn chord

10
4.8
9.6
5

Two circle so fequal radii are drawn, without any overlap., in a semicircle of radius 2cm. If these are the largest possible circles that the semicircle can accommodarte, what is the radius of each of the circles?

0.414
0.828
0.172
0.586

4 3 2

6 9 10

9 27 ? options a)50 b)54 c)30 d)20 and explain the reason


can anyone explain how is that the product of n consecutive natural numbers is divisible by n ! ? (don't go by examples)

There are 100 students who appeared in an entrance examination that had three sections: Quantitative Ability (QA), Data Interpretation (DI) and English Usage (EU). The number of students who cleared the cut-off marks in QA, DI and EU is 43, 65 and 37 respectively. Every student cleared the cut-off marks in at least one section.

If the number of students who cleared the cut-off marks only in DI is maximum possible, then find the number of students who cleared the cut-off marks in all the three sections.?

  • 8
  • cannot be determined
  • 11
  • 10

0 voters

f(x) is a polynomial with integral coefficients such that f(20) = 13. What can be the value of f(13)?

A. 7

B. 17

C. 27

D. 37

Courtesy : TestFunda

AD, the median of Δ ABC and CO, the median of Δ ACD intersect at point O. OC, when extended further meets AB at E. AE = 6 cm. Find AB.

P.S : Don’t have the correct answer…


  • 9
  • 24
  • 18
  • 12
  • 15

0 voters

is there any library in delhi opening hours 24???

A new coach was appointed for a football team, in the middle of the season. After the new coach took over, the team won 6/7 of the 35 matches that it played. However, the overall performance of the team for the entire season was only 50%. what could be the minimum number of matches the team played that season before the new coach took over? please give full solution


@sreekantkkurup

Courtesy : TestFunda

AD, the median of Δ ABC and CO, the median of Δ ACD intersect at point O. OC, when extended further meets AB at E. AE = 6 cm. Find AB.


P.S : Don't have the correct answer..

1) 9

2) 12

3) 15
4) 18
5) 24×

@Dazed-Confused Check the attachment

In how many ways can 7^13 be written as a product of three natural numbers?

Suppose the investment of Rs. 2 lakhs in the above project can be made in two equal installments of Rs. 1 lakh in the beginning of the project and the other Rs. 1 lakh at the beginning of the second year. From the beginning of the third year, the project will generate revenues of Rs. 1.5 lakhs every year. Using the same cost of capital of 10%, what should be the minimum life of the project inclusive of the project implementation phase? (use the 'beginning of the year' convention)