11.

$\mathrm{If} {64}^{12} ÷ 4^{15} = {64}^{?}, 64, \mathrm{then} \mathrm{what} \mathrm{will} \mathrm{come} \mathrm{in} \mathrm{place} \mathrm{of} \mathrm{question} \mathrm{mark} (?) ?$

• 3

• 5

• 7

• 9

$$\begin{gathered} \mathrm{If} {\mathrm{a}}^2 = 1^3 + 2^3 + 3^3, {\mathrm{b}}^2 = 1^3 + 2^3 + 3^3 + 4^3 \\ \mathrm{and} {\mathrm{c}}^2 = 1^3 + 2^3 + 3^3 + 4^3 +\hspace{0.17em}{5}^3, \mathrm{then} \mathrm{the} \mathrm{value} \mathrm{of} \mathrm{a} + \mathrm{b} + \mathrm{c} \mathrm{is} \end{gathered}$$

• 33

• 31

• 27

• 25

A positive integer is selected at random and is divided by 7. What is the probability-that the remainder is not 1?

• $\frac{1}{7}$

• $\frac{2}{7}$

• $\frac{6}{7}$

• 1

Which of the following is not a 'proposition ?

• Sum of 2 and 5 is 7

• An angle consists' of two rays and one vertex

• Is 7 the sum of 2 and 5 ?

• Sum of 2 and 5 is 6

Which of the following is a perfect number ?

• 28

• 36

• 10

• All of these

A box contains a dozen bulbs in which few are defective and remaining are good. Which of the following cannot be a ratio of defective bulbs to good bulbs ?

• 1 : 1

• 1 : 2

• 1 : 3

• 1 : 4

There are three sections A, B and C in Class X with 25, 40 and 35 students respectively. The average marks obtained "by sections A, B and C are 70%, 65% and 50% respectively. The average marks of entire Class X is

• 60%

• 61%

• 61.66%

• 65%

Which evaluation involves gathering information about the students errors, reasons for those errors, depth of conceptual understanding, effective means of intervention ?

• Diagnostic evaluation

• Formative evaluation

• Prognostic evaluation

• Summative evaluation

If the sum of five successive integers are S, then the value of largest integer in terms of S will be

• $\frac{\mathrm{S} - 10}{5}$

• $\frac{\mathrm{S} + 5}{4}$

• $\frac{\mathrm{S} + 5}{5}$

• $\frac{\mathrm{S} + 10}{5}$

In a sports competition, 5 players are participating. It is compulsory for each player to play match with every other player. How many matches will be played?

• 10

• 12

• 16

• 20