1st Year Mathematics 2nd Quarter Book Paper

Q1. Multiple choice questions (Attempt all · 12 × 1 = 12)

1. What should be added to $3pq + 5p^2q^2 + p^3$ to get $p^3 + 2p^2q^2 + 4pq$?
   1. $$p^{2}q^{2} - pq$$
   2. $$2p^{2}q^{2} + pq$$
   3. $$-3p^{2}q^{2} + pq$$
   4. $$5p^{2}q^{2} + pq$$
2. In how many ways 6 women and 5 men be seated in a row such that male and female occupy alternate seats ?
   1. 11 !
   2. 30 !
   3. 6 ! 5 !
   4. 6 ! 5 ! 2 !
3. The sum of the series - 3 + ( - 1 ) + 1 + 3 + 5 + .............. + $a_{16}$ is :
   1. 290
   2. 190
   3. 192
   4. None of these
4. $ax + 2xy + 3$ is a ______ polynomial :
   1. Linear
   2. Cubic
   3. Constant
   4. Quadratic
5. 10! = ?
   1. 5! + 5!
   2. 8! + 2!
   3. 10! + 0!
   4. None of these
6. The sum of first 100 positive integers :
   1. 5050
   2. 5051
   3. 5052
   4. None of these
7. If 3x³ - 2x² + 5 is divided by x + 1, then x + 1 will be its.
   1. divisor as well as factor
   2. dividend
   3. quotient
   4. remainder
8. In a Chinese restaurant 4 different dishes of rice, 5 different dishes of chicken and 7 different types of salads are available.In how many ways a person can select his meal ?
   1. 140
   2. 150
   3. 16
   4. 14
9. How many multiples of 4 between 14 and 523 is :
   1. 126
   2. 127
   3. 128
   4. 227
10. Use of letters to represent an unknown quantity was introduced by :
    1. Muhammad Bin Musa
    2. Rene Descartes
    3. Euler
    4. James Sylvester
11. How many lines can be drawn through 21 points on a circle ?
    1. 310
    2. 210
    3. 410
    4. 570
12. $\sum_{k=1}^{10} {3}$is equal to:
    1. 10
    2. 103
    3. 300
    4. 30