Questions :-
1. Components form the ecosystem are-
a)All biotic
b)All abiotic
c)Both (a) and (b)
d)None of these
2. What are the biotic components?
a)All living organisms
b)All non-living organisms
c)All organisms
d)None of these
3. Which of the following is a biodegradable substance?
a)Glass
b)Plants
c)Plastics
d)Polythene
4. Which of the following is a non-biodegradable substance?
a)Cow dung
b)Plastic
c)Manures
d)Plant prod...

1. A letter of English alphabets is chosen at random. What will be the probability that the letter chosen is a vowel?
a. 17/26
b. 19/26
c. 5/26
d. 15/26
2. A lot consists of 40 mobile phones of which 32 are good, 3 have only minor defects and 5 have major defects. Ram will buy a phone if it is good or have minor defects. One phone is selected at random. What will be the probability that it is acceptable to Ram?
a. 17/26
b. 19/26
c. 7/8
d. 9/8
3. ...

1. If ‘φ’ is an impossible event, then find the value of p(φ)?
a. 2
b. 5
c. 0
d. 3
2. If S is the sample space of a random experiment, then find p(S)?
a. 5
b. 1
c. 3
d. 2
3. If ‘p’ is the probability of an event, then p satisfies which of the following?
a. 0 < p ⩽1
b. 0 ⩽ p <1
c. 0 < p < 1
d. 0 ⩽ p ⩽ 1
4. Two dice are thrown simultaneously. What is the probability of getting a doublet?
a. 15/6
b. 1/8
c. 1/6
d. 1/16
5. An unbiased die is thrown ...

1. A card is drawn from a pack of 52 cards at random. What is the probability of getting neither an ace nor a king card?
a. 17/13
b. 11/13
c. 4/52
d. 14/52
2. What is the probability of a sure event?
a. 10
b. 5
c. 1
d. 6
3. The probability that it will rain on a particular day is 0.76. What is the probability that it will not rain on that day?
a. 0.24
b. 1.24
c. 3.26
d. 5.18
4. A piggy bank contains 100 fifty paise coins, 50 one rupee coins,...

1. If one zero of the quadratic polynomial x2+ 3x + k is 2, then find the value of ‘k’?
a. -10
b. 15
c. 16
d. -12
2. If two of the zeroes of a cubic polynomial ax3 +bx2 +cx +d are zero, then find the third zero?
a. (-b)/a
b. (-a)/b
c. (-c)/x
d. (-d)/a
3. If the zeroes of a quadratic polynomial ax2 + bx + c, c ≠ 0 are equal, then
a. b and c have the same sign
b. c and a have the same sign
c. b and c have opposite sign
d. c and a have opposite ...

1. (x + 1) is a factor of which of the polynomial?
a. x3 + x2 + x + 1
b. x2 + x + 1
c. x3 + 1
d. x2 + 1
2. If x2 + kx + 6 = (x+2) (x+3), then find the value of ‘k’?
a. 10
b. 12
c. 16
d. 5
3. What will be the remainder when x31 – 31 is divided by x+1?
a. −15
b. −32
c. 36
d. 48
4. 8 is a polynomial of degree
a. 1
b. 5
c. 9
d. 0
5. Which of the following statement is false?
a. The degree of a zero polynomial is defined.
b. The degree of ...

1. Find the degree of the polynomial 4x4 + 0x3 +0x5 + 5x+7?
a. 6
b. 4
c. 5
d. 2
2. Find the value of the polynomial 5x − 4x2+3, when x = −1?
a. -6
b. 5
c. 3
d. 4
3. If p(x) = x + 3, then find p(x) + p (-x)?
a. 10
b. 12
c. 6
d. 18
4. Find the zero of the polynomial p(x) = 5x – 2?
a. 12/5
b. 7/5
c. 23/5
d. 2/5
5. Find one of the zeroes of the polynomial 2x2 +7x – 4?
a. 1/2
b. -5
c. -9
d. 1/5
6. If x51+51 is divided by x+1, then find ...

1. If the length of the shadow of a tower is equal to its height, then find the angle of elevation of the sun?
a. 45∘
b. 25∘
c. 15∘
d. 50∘
2. If the height of the tower is√3 times of the length of its shadow, then find the angle of elevation of the sun?
a. 60∘
b. 30∘
c. 50∘
d. 100∘
3. The ___________ is the angle between the horizontal and the line of sight to an object when the object is below the horizontal level.
a. Angle of projection
b. A...

1. A ladder 14m long rests against a wall. If the foot of the ladder is 7m from the wall, then find the angle of elevation.
a. 20∘
b. 50∘
c. 60∘
d. 30∘
2. An electric pole is 10√(3 )m high and its shadow is 10m in length, then Find the angle of elevation of the sun.
a. 20°
b. 60°
c. 120°
d. 180°
3. A kite is flying at a height of 60m from the level ground, attached to a string inclined at 30° to the horizontal. Find the length of the string.
a. ...

1. Find the value of tan15°tan20°tan7°tan75°?
a. 0
b. 2
c. 1
d. 3
2. Find the value of tan (55°−θ) − cot (35°+ θ)?
a. 0
b. 3
c. 2
d. 5
3. If cos 9α = sin α, then find the value of α?
a. 3°
b. 5°
c. 8°
d. 9°
4. If tan θ =√3, find the value of sec θ?
a. 3
b. 2
c. 5
d. 6
5.
a. sinα
b. sin β
c. cos α
d. cosβ
6. If Cos A+Cos2 A=1, then find the value of Sin A+Sin2 A=1?
a. 2
b. 3
c. 1
d. 0
7. If sin A + 2 cos A = 1, then find the v...