The sum of all possible values of a, for which the 4-digit number 547a is divisible by 3, is

• 7

• 15

• 10

• 13

2.

A common factor of ${\mathrm{x}}^4 - 256, {\mathrm{x}}^3 - 4{\mathrm{x}}^2 +\hspace{0.17em}3\mathrm{x} - 12 \mathrm{and} {\mathrm{x}}^2 - 7\mathrm{x} + 12 \mathrm{is}$

• x + 4

• x - 3

• x - 4

• x + 3

$$\begin{gathered} \mathrm{When} \mathrm{x} = \frac{1}{9} \mathrm{and} \mathrm{y} = \frac{ - 3}{4}, \mathrm{then} \mathrm{the} \mathrm{value} \mathrm{of} \mathrm{the} \mathrm{expression} \\ 81{\mathrm{x}}^2 + 16{\mathrm{y}}^2 - 72\mathrm{xy} \mathrm{is} \end{gathered}$$

• 25

• $\frac{9}{16}$

• 16

• $\frac{9}{4}$

Abhi is twice as old as his daughter. Five years ago, his age was four times his daughter's age. If the present age of the daughter is x yr, then

• $2\left(\mathrm{x} - 5\right) = 4\left(2\mathrm{x} - 5\right)$

• $2\left(\mathrm{x} - 5\right) = 4\left(2\mathrm{x} + 5\right)$

• $4\left(\mathrm{x} - 5\right) = 2\mathrm{x} - 5$

• $4\left(\mathrm{x} + 5\right) = 2\left(2\mathrm{x} - 5\right)$

A sum of Rs. 6250 at 8% per annum, compounded annually, after 2$\frac{3}{4}$ yr amounts to

• Rs 7165.60

• Rs 7872.60

• Rs 7581.40

• Rs 7727.40

The angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8. The sum of the supplement of the largest angle and the complement of the smallest angle is

• 50⁰

• 80⁰

• 60⁰

• 70⁰

If one angle ofa triangle is 110°, then the angle between the bisectors of the other two angles measures

• 90⁰

• 145⁰

• 100⁰

• 110⁰

Some students of your class are repeatedly not able to do well in mathematics examinations and tests. As a teacher you would

• give more tests for practice

• explain the consequences of not doing well

• diagnose the causes and take steps for
  remediation

• make them sit with high achievers

In an inclusive Mathematics classroom, what would be your strategy for addressing the needs of visually challenged learners?

• Send the learners to a special educator

• Design alternate teaching-learning and assessment methods

• Offer them another subject in lieu of Mathematics

• Pair them with high scorers in Mathematics

Which of the following assessment strategies can be used to assess learner's interest in and attitude to Mathematics?

• Checklist, Portfolio, Paper-pencil test

• Oral test, Paper-pencil test, Class participation

• Checklist, Portfolio, Project, Class participation

• Portfolio, Project, Paper-pencil test