Sample Space

Q.

The condition that the point (x, y) may lie on the line joining (3, 4) and (-5, -6) is

1. -5x - 4y + 1 = 0

2. -5x + 4y + 1 = 0

3. 5x - 4y + 1 = 0

4. 5x + 4y + 1 = 0

Q. A coin is tossed three times. Then n(s) = _____.

1. 2
2. 6
3. 4
4. 8

Q. Vikram has three boxes A, B, and C initially containing 0, 0, 27 balls respectively. He wants to get equal number of balls in each box but the constraint while doing the transfers is that at every i th move he has to transfer exactly i balls from one box to another. And he cannot transfer balls between A and B.
How many minimum steps( if possible) will you take to get to equal number of balls in each box?

1. 7
2. 9
3. 8
4. Not possible

Q. How many outcomes are possible when a coin is tossed

1. $2times$
2. $3times$
3. $5times$
4. $4times$

Q. They did not came out victorious (A) yet they were not disappointed (B) rather satisfied because (C) they had played well (D). No Error (E)

1. (E)
2. (A)
3. (B)
4. (C)
5. (D)

Q. when two balanced dies are rolled simultaneously, the probability of getting the same number on both the dice is,

1. $1$
2. $\frac{1}{12}$
3. $\frac{1}{6}$
4. $\frac{1}{36}$

Q. A dice is thown twice. Then n(s) = _____

1. 6
2. 36
3. 60
4. 216

Q. If three lines whose equations are $y=m_{1}x+c_1,y=m_2+c_{2}andy=m_{3}x+c_3$ are concurrent, then show that $m_1(c_2-c_3)+m_2(c_3-c_1)+m_3(c_1-c_2)=0$.

Q. The principal of a school randomly selects $15$ students to decide the destination for the annual outing. This sampling represents which type of sampling?

1. Stratified sampling
2. Random sampling

Q. A card is drawn at random from a well shuffled deck of playing cards. Find the probability that card drawn is-
1. A card of heart or a king.
2. A black queen.
3. neither an ace nor a jack.
4. either an ace or a jack. ​

Q. A card is drawn at random from a pack of well shuffled deck playing cards. Find the probability of i) King or Jack ii) spade or ace

Q. The seed of a particular variety of a rose in a rose garden , multiplies into 2 everyday due to reproduction. If there is only one seed on the first day, it increases to two on the second day, increases to eight on fourth day and so on. If starting with one seed it takes 30 days to cover 200 meters plot, how long will it take to cover the same plot if started with two seeds ?

1. $16$ days
2. $15$ days
3. $17$ days
4. $29$ days

Q. Find out the error in the following sentence, if any. If there is no error, mark your answer as 'E'.
Although he only earns (A) only six hundred rupees a month (B) still he manages to support (C) his family. (D) No Error.(E)

1. A
2. B
3. C
4. D
5. E