Solve the following inequation. Write down the solution set and represent it on the real number line. − 5(x − 9) ≥ 17 − 9x > x + 2, x ∈ R.

The solution set for 0 < − < 2, x ∈ Z is: (a) {−5, −4, −3, −2, −1} (b) {−6, −5, −4, −3, −2, −1} (c) {−5, −4, −3, −2, −1, 0} (d) {−6, −5, −4, −3, −2, −1, 0} bb

Solve the inequation, write the solution set and represent it on the real number line:2x − < + 10 ≤ + 11, x ∈ R.

Solve the following inequation, write down the solution set and represent it on the real number line: −3 + x ≤ + 2 < 8 + 2x, x ∈ I.

Which of the following cannot be determined graphically for a grouped frequency distribution? (a) Median (b) Mode (c) Quartiles (d) Mean

Naveen deposits ₹800 every month in a recurring deposit account for 6 months. If he receives ₹4884 at the time of maturity, then the interest he earns is: (a) ₹84 (b) ₹42 (c) ₹24 (d) ₹284

The volume of a cylinder of height 3 cm is 48π cm3. The radius of the cylinder is: (a) 48 cm (b) 16 cm (c) 4 cm (d) 24 cm

The mean proportional between 4 and 9 is: (a) 4 (b) 6 (c) 9 (d) 36

What number must be added to each of the numbers 4, 6, 8 and 11 so that the resulting four numbers are in proportion?

A bag contains 25 cards numbered from 1 to 25. A card is drawn at random. Find the probability that the number on the card drawn is: (a) a multiple of 5 (b) a perfect square (c) a prime number.

The following distribution gives the daily wages of 60 workers of a factory: Daily income (₹) Number of workers 200–300 6 300–400 10 400–500 14 500–600 16 600–700 10 700–800 4 Use graph paper. Take 2 cm = ₹100 along one axis and 2 cm = 2 workers along the other axis. Draw a histogram and hence find the mode of the distribution.

Find the value of ‘a’ if x − a is a factor of the polynomial 3x3 + x2 − ax − 81.