Official Quant thread for CAT 2013

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 ??

O.A = 12 km /hr

1. Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option? a)1/2 b)1/6 c)1/12 d)6/10

please help me guyz with the solutions!! please

have my slot day after tomorrow morning....any tips asto what to do now?

find the number of digits in 60^12..pls give detail explaination @ankurkhanna14 ..

If a+b+c=n

No of solutions such that a is greater than any other no

No of solutions such that a>b>c

How to approach these kind of questions ??

approach pls

Hey can you guys give me a link on circular track race problems and also normal track problems like A beats B by x secons or y mtrs like that ? It would be of great help !! I guess I dnt have certain concepts clear


How many natural numbers less than 25 have a composite number of factors?

a) 13

b) 10

c) 11

d) 5

Puys, have anyone of you taaken ims test series??p

AB is a chord of a circle with centre O. P and Q are points on the circumference of the circle such that PO || AB and QO, when extended, becomes perpendicular to AB. If AP > BP, then what is the sum of angle APO and angle AQO?

a) 30°

b) 40°

c) 45°

d) Cannot be determined

(logroot27+log8-logroot1000)/log1.2.....log2=.301log3=.4771

In triangle ABC, E and F are points on the sides AB and AC respectively. The line segments EF and BC are extended to meet at a point D. If AE = AF, CD = 2BC and CF = 1.5 cm, then find the length (in cm) of BE.

a) 3

b) 4.5

c) 2.75

d) 2.25

The cost price of Darjeeling Tea is Rs. 150 more than that of Assam Tea. A grocer mixes Assam Tea and Darjeeling Tea in the ratio of 1:4 and sells the mixtures. He earns 15% profit. If he mixes Darjeeling Tea and Assam Tea in the ratio 1:1, his profit percentage would be 40%. What is the cost price of Assam Tea?

4x + 2y + z = 35, where 'x', 'y' and 'z' are positive real numbers. Find the maximum value of x1/2 × y1/4 × z1/8 .

a) 53/4

b) 57/8

c) 54/3

d) 58/7

Manjul bought 5 diamond rings – R1, R2, R3, R4 and R5 – to gift to five of his female friends on their weddings. He also bought five boxes – B1, B2, B3, B4 and B5 – to keep the rings, where B1 was for R1; B2 was for R2; and so on. Then he asked his wife Nalini to pack the rings in the boxes accordingly. Nalini, miffed at his husband's decision to gift diamond rings to his female friends, decided not to follow the instructions. If she chose to put just two of the five rings into the correct boxes, then in how many ways could she have packed the rings?

a) 2

b) 10

c) 16

d) 20

Tn is the nth term of a Geometric Progression such that Tn = Tn-1 + Tn-2 for n > 2. If the first term and the common ratio of the progression are positive real numbers, then find the common ratio.

a) (√5-1)/2

b) (√5+1)/2

c) (√3-1)/2

d) (√3+1)/2

N is a set of natural numbers less than 500 which can be written as a sum of 2 or more consecutive natural numbers .find the maximum numbers of possible elements in N?


a.250
b.492
c.493
d.none of these

find the number of solutions for the equation: (a+1)(b+1)(c+1) = 24??

a,b,c >=0.

  • 36
  • 27
  • NOTA
  • 12
  • 9

0 voters

What is the product of the real roots of the equation:

x²-|x|-12=0

PS: OA not available