Similar to Different

Q.

If an integer is chosen at random from first $100$ positive integers, then the probability that the chosen number is a multiple of $4$ or $6$ is

1. $\frac{41}{100}$

2. $\frac{33}{100}$

3. $\frac{1}{10}$

4. None of these

Q.

An urn contains 6 red, 4 blue and 3 green marbles. If 2 marbles are picked at random, then what is the probability that both the marbles are red?

1. 21/26

2. 5/26

3. None of these

4. 10/13

5. 3/13

Q.

At what time between 8 and 9 o'clock will the hands of a watch point in opposite direction?

1. 8 minutes past 8

2. 10 minutes past 8

3. 5 minutes past 8

4. 13 minutes past 8

5. 2 minutes past 8

Q.

Study the following graph carefully and answer the following questions:

Number of students playing Carrom, Cricket and Hockey from different schools

The total number of students playing Carrom and Hockey together from school P is what per cent of the total number of students playing these two games together from school R?

1. 

2. 

3. 

4. 

5. 

Q.

Ajith speaks truth in 3 out of 4 cases and Vignesh lies in 1 out of 5 cases. What is the percentage of cases in which both Ajith and Vignesh contradict each other in stating a fact?

1. 45%

2. 35%

3. 65%

4. None of these

Q. Find the number of ways of distributing 8 similar balls into 4 different boxes so that none of the boxes are empty.

1. 
2. 8! × 3!
3. 
4. 
5. 

Q. Study the table carefully to answer the questions that follow.
Maximum and minimum temperature (in degree Celsius) recorded on 1st day of each month of five different cities
$\begin{array}{ccccccccccc}\to Cities& Bhuj& & Sydney& & Ontario& & Kabul& & Beijing& \\ \to Temperature& Max& Min& Max& Min& Max& Min& Max& Min& Max& Min\\ \downarrow Months& & & & & & & & & & \\ 1stSeptember& 24& 14& 12& 2& 5& 1& 34& 23& 12& 9\\ 1stOctober& 35& 21& 5& -1& 15& 6& 37& 30& 9& 3\\ 1stNovember& 19& 8& 11& 3& 4& 0& 45& 36& 15& 1\\ 1stDecember& 9& 2& -5& -9& -11& -7& 31& 23& 2& -3\\ 1stJanuary& -4& -7& -11& -13& -14& -19& 20& 11& 5& -13\end{array}$

What is the average maximum temperature of Beijing over all the months together?

1. ${9.2}^{\circ }C$
2. ${8.4}^{\circ }C$
3. ${9.6}^{\circ }C$
4. ${7.6}^{\circ }C$
5. ${8.6}^{\circ }C$

Q. Second basket has exactly 2 balls

1. 10
2. 18
3. 12
4. None of these
5. 12

Q. In a school, tree planatation on Independence day was arranged. Every student from I standard will plant 2 trees, II standard students will plant 4 trees each, III standard students will plant 8 trees each etc. If there are 5 standard, how many trees are planted by the student of the school ?

1. 62
2. 25
3. 54
4. 15

Q. Find the difference between the number of students absent during the month July to August.

1. $1$
2. $2$
3. $4$
4. $3$

Q. Assertion :A bag contains 10 balls in which 3 are identical, then number of ways of selecting 6 balls from the bag is ${}^8{C}_2{+}^8{C}_4$ Reason: If a lot has n things out of which p are identical then number of ways of selecting r things from the lot is $\sum _{r=r-p}^r$ ${}^{n-p}{C}_r$ if $r>p.$

1. Both (A) & (R) are individually true & (R) is correct explanation of (A),
2. Both (A) & (R) are individually true but (R) is not the correct (proper) explanation of (A).
3. (A)is true but (R) is false.
4. (A)is false but (R) is true.

Q.

Three boys and four girls stand in queue for an interview. The probability that they stand in alternate positions is:

1. ()

2. ()

3. ()

4. ()

Q. First basket has 0 balls

1. 15
2. 21
3. 19
4. 10
5. 16