Quants for CAT07 - 14
Q1. There is a plot of 10m x 10m. Its is covered with 1m x 1m tiles. Under 10 of these tiles, mines are placed. A man is given the job of uncovering the tiles without blowing himself up by uncovering any of the tiles with a mine under it. What is the probability that a man can uncover all the 90 tiles without any mines under them?
a. 90/100 x 89/99 x 88/98 . . . . . . x 2/12 x 1/11
Q2. The value of :
1 + 2(1 + 2(1 + 2(1 + 2(1 + 2(1 + 2(1 + 2(1 + 2(1 + 2(1 + 2(1 + 2)). . . . . ) is a. 1 + 210 b. 211 -1 c. 211 + 1 d. 212 -1
Q3. if x2 + x4 + x6 + x8 + x10 = 1364 , x = ?
a. 1 & -1 b. 3 & -3 c. 2 & -2 d. 3/4 & -3/4
Q4. A candidate is required to answer 6 out of 10 questions divided into 2 groups of 5 questions each. He cannot answer more than 4 questions from either group. The number of different ways in which he can choose the six questions is a. 50 b. 150 c. 200 d. 250
Q5. The number of ways in which a mixed double game can be arranged from amongst 9 married couple if no husband and wife play in the same is a. 756 b. 1512 c. 3024 d. None of these
Q6. The tetrahedron ABCD has AB=3, Area ABC = 15, area ABD = 12 and the angle between the faces ABC and ABD is 30 degree. Find its volume?
a. 25 b. 20 c. 40 d. 20√2
Q7. Given that n is an integer, for how many values of n is (2n2 – 10n – 4)/(n2 – 4n + 3) an integer ?
a. 9 b. 7 c. 6 d. 5
n/a
Answer to QN4)
5C4 x 5C2 + 5C3 x 5C3 + 5C2 x 5C4 = 200
& is the ans to Q1) = 1 – (1/10)10 ... M nt sure about it !!
Answer to Q1
I got that question from an erudite test and the answer is given as “a”
But I don’t have the solution
n/a
Q2--Answer is option-d ....... 212 -1
Q3- Answer c
Q4 answer c
Can anyone explain Q5 , 6 and 7
n/a
the solution will be
9c2*7c2*2 = 1512
as there can be internal arrangement in 2 ways and not in 4 ways ........as no two men can be in same team........
Q7. Given that n is an integer, for how many values of n is (2n2 – 10n – 4)/(n2 – 4n + 3) an integer ?
a. 9 b. 7 c. 6 d. 5
SOLUTION:
For above expression to be a integer 2n2 – 10n – 4 >= n2 – 4n + 3
or , n2 -6n -7 >= 0, solving it we get n =7
1> a
2> d
3> c
4> c
Didnt get 5,6 and 7
Neal if u cud post how u got ur ans..
buddy...
2n2 – 10n – 4 >= n2 – 4n + 3
that is the condition 4 num,>denom
i.e u can get ny fractional values too..
correct me if i am wrong
n/a
It is 9C2 x 7C2 x 4
= 3024