Official Quant thread for CAT 2013

There are 200 questions on a 3 hour examination. Among 200 questions, 50 are Science. He spent twice, as much time on each Mathematics questions as for each other question. How many minutes did he spend on Mathematics questions?

  • 60
  • 72
  • 36
  • 100

0 voters

If a1 = 2 and an – an-1 – 2n for all n ≥ 2. The sum of a1 + a2 + a3 + a4 + ….. + a20 is

(1)1080

(2)3080

(3)4080

(4)3180

The least five-digit perfect square number which is divisible by 3, 4, 5, and 8 is

  • 14400
  • 10800
  • 10201
  • 32400

0 voters

A toy factory manufactured a batch of electronic toys. If the toys were packed in boxes of 115 each, 13 boxes would not be filled completely. If the toys were packed in boxes of 65 each, 22 such boxes would not be enough to pack all of them. Coincidentally, in the end, the toys were packed n in boxes containing n toys each, without any remainder. The total number of toys was

  • 1434
  • 1444
  • 1454
  • 1424

0 voters

Complete the series: 7, 26, 63, 124, 215, 342, __?__


  • 391
  • 421
  • 511
  • 481

0 voters

the answer sheet of 5 students can be checked by any one of the 9 professors.what is the probability that all the five answer sheets are checked by exactly 2 professors?..approach?




The number of distinct triangles with integral value sides and perimeter as 14 is??? options 2 3 4 5

The sides of a cyclic quadrilateral are 9,10,12,16. If one of the diagonals is 14,find the other diagonal?? options 16 17 18 19

The average of 5 consecutive integers starting with 'm' is n. What is the average of 6 consecutive integers starting with (m + 2)?

  • (n+2)
  • (2n+9)/2
  • n+3
  • (2n+5)/2

0 voters

A lateral side of an isosceles triangle is 15cm. and the altitude is 8cm what is the radius of circumscribed circle?? options 9.625 9.375 9.5 9.125

There are 15 non symmetric letters and 11 symmetric letters. How many three letters passwords can be formed (without repetition such that it has at least one symmetric letter?


455
2040
2145
12870

Water flows at a rate of 10 meters per minute from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth is 24 cm?

  • 52 mins 1 sec
  • 55 mins
  • 48 mins 15 sec
  • 51 mins 12 sec

0 voters

The three perpendicular distances of three sides of an equilateral triangle from a point which lies inside that triangle are 6 cm, 9 cm and 12 cm respectively. The perimeter of the triangle is :

  • 42 cm
  • 53 cm
  • 55 cm
  • 45 cm

0 voters

If the length of a rectangular Parallelepiped is 3 times of its breadth and 5 times of its height and its volume is 144400 cu.cm, then area of the total surface will be

  • 4320 sq cm
  • 5320 sq cm
  • 2420 sq cm
  • 3320 sq cm

0 voters

54. Divide Rs. 15,494 A and B so that A's share at the end of 9 years may be equal to B's share at the end of 11 years, compound interest being 20% per annum. Then A's share is

  • 8000
  • 9414
  • 9144
  • 9140

0 voters

The real value of x satisfy :


sqrt (4x-9) + sqrt (4x+9) = 5 +sqrt(7)

  • 4
  • 3/ sqrt (7)
  • 2 sqrt (3)
  • sqrt (5)

0 voters

A man borrows rs . 1000 and agrees to repay it with a total interest of rs 140 in 12 installments,each installment being less than the preceeding one by rs 10.What should be his first installment?

What is the digit in the unit place of 39^46^252+73^47^33+?

1. 8

2. 7

3. 6

4. 4

5. 1

2^32 - (2+1) (2^2-1) (2^4+1) (2^8+1) (2^16+1) is equal to:

  • 2
  • 0
  • 2^16
  • 1

0 voters

Choose (1) if the question can be answered by using one of the statements alone but not by using the

other statement alone.

Choose (2) if the question can be answered by using either of the statements alone.

Choose (3) if the question can be answered by using both statements together but not by either statement

alone.

Choose (4) if the question cannot be answered on the basis of the two statements.

Tarak is standing 2 steps to the left of a red mark and 3 steps to the right of a blue mark. He tosses

a coin. If it comes up heads, he moves one step to the right; otherwise he moves one step to the left.

He keeps doing this until he reaches one of the two marks, and then he stops. At which mark does

he stop?

A. He stops after 21 coin tosses.

B. He obtains three more tails than heads.