Official Quant thread for CAT 2013

find the square root of

12- (68-48rt 2)^0.5

(note:whole expression 68+48 rt2 is under root )
a)rt2-rt17 b)2-rt2 c)rt 2+rt 17 d)none

rt=square root




What is the ratio of the mth and nth terms of an A.P, for which the ratio of the sums upto m and n terms is m^2 : n^2?

m – 1 : n – 1

m + 1 : n + 1

2m – 1 : 2n – 1

2m+1 : 2n+1

None of these

What is the value of (a-b)^3+(b-c)^3+(c-a)^3/(a-b)(b-c)(c-a)

1
0
2
3

Question :

From the salary of an officer 10% is deduced as house rent; 20% of the rest he spends on children's education and 15% of the balance, he spends on clothes. After meeting all this expenditure, he is left with $1530. What is the salary of the officer?

$2450

$2500

$2550

$2475

$2800

One spider spawns eight spiders of the next generation. But due to environmental factors, only 50% of one generation can produce the next generation. If the number of spiders in the 8th generation is 16384 million, then what is the number of spiders in the first generation?

1 million

2 million

3 million

4 million

8 million

An MBA aspirant fritters away 6 hours of his time daily in useless and unproductive works. He realizes his blunder and decides to reduce the frittering away by 1/12 every day. If he starts his mission on day 1, find the total time frittered away when he finally stops wasting any time.

66 hours

40/9 hours

72 hours

60 hours

Indeterminate

An MBA aspirant fritters away 6 hours of his time daily in useless and unproductive works. He realizes his blunder and decides to reduce the frittering away by 1/12 every day. If he starts his mission on day 1, find the total time frittered away when he finally stops wasting any time.

66 hours

40/9 hours

72 hours

60 hours

Indeterminate

Coordinate Geo...!!!


Question :

In the MLA's election Mr. Tora filled the form for two constituencies Golkunda and Rolkunda respectively. The number of votes not cast for him at Rolkunda was greater by 20% than that at Golkunda. He lost at Rolkunda by twice the number as large as that by which he won at Golkunda. If a total of 3,20,000 people voted at each constituency, how many voted for Mr.Tora at Golkunda constituency?

1,30,000

1,50,000

1,55,000

1,70,000

2,00,000

An army battalion has 5000 men and provisions for 60 days. If the battalion is joined by another 4000 men after 6 days, how many more days will the provisions last?

30 days

28 days

25 days

20 days

16 days

Question :

If p and r are two real and unequal numbers, the roots of the equation x^2 – (p + r) x + pr = 0 are

real and unequal

real and equal

complex

complex and of same sign

can not be determined

How many five-digit numbers can be formed from 5, 6, 7, 8, 9 (without repetition), when the digit at the unit's place is greater than that at the ten's place?

54

60

40

48

120

abc = a^3+b^3+c^3 how many numbers can be represented ????
1
4
0
infinite

sum of all 10 digit natural naumber ?

how to calculate last 3 digits of a no ...... ? 24^402 .... plz explain

find the remainder when 14^15^16 is divided by 5?

Four cities are connected by a road network as shown in the figure. In how many ways can you start from any city and come back to it without travelling on the same road more than once?

A box contains 6 red balls, 7 green balls and 5 blue balls. Each ball is of a different size. A ball is selected at random. The probability that the selected red ball is the smallest is

1/18

1/3

1/6

2/3

1/12

i am not able to give pagalguys mock, as i clicked on take this test mock got auto submitted with 0.0 score.i tried with a different id but it still didnt work ,plz help me out. moderators or any1 ????
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There are 10 bags containing 1000 groundnuts each. Weight of each groundnut is 10 gm. But in one of the bags, the weight of each groundnut is 9 gm. There is one physical weighing balance whose capacity is 10 kg. What minimum number of times the weighing balance should be used if we want to find the odd bag on the weighing balance?

100

50

10

2

1