Q 1 – Find the value of 525² – 475².
(a) 100
(b) 10000
(c) 50000
(d) 100000
Q 2 – One of the factors of (x³ – 1) – (x – 1) is
(a) x² + 1
(b) x² – 1
(c) x – 1
(d) x + 4
Q 3 – Find the coefficient of x² in (3x² – 5) (4 + 4x²).
(a) 12
(b) 5
(c) -8
(d) 8
Q 4 – Find the remainder on dividing 5y³ – 2y² – 7y + 1 by y.
(a) -1
(b) 1
(c) 0
(d) 2
Q 5 – If a + b + c = 0, then the value of a³ + b³ + c³
(a) abc
(b) -3abc
(c) 0
(d) 3abc
Q 6 – What is remainder when x³ – 2x² + x + 1 is divided by x – 1?
(a) 0
(b) -1
(c) 1
(d) 2
Q 7 – If the area of the rectangle is 4x² + 4x – 3, then find its possible dimensions.
(a) 2x – 3, 2x + 1
(b) 2x – 1, 2x + 3
(c) 3x + 1, 2x – 3
(d) 3x – 1, 2x + 3
Q 8 – Zero of the polynomial p(x) = cx + d is
(a) -d
(b) -c
(c) 
(d) –
Q 9 – Find the degree of polynomial √2 .
(a) 2
(b) 0
(c) 1
(d) 
Q 10 – One of the factors of (1 + 3y)² + (9y² – 1) is
(a) 1 – 3y
(b) 3 – y
(c) 3y + 1
(d) y – 3
Q 11 – If a, b and c are the lengths of the three sides of a triangle, then which of the following is true?
(a) a + b < c
(b) a – b < c
(c) a + b = c
Q 12 – Which of the following sets of angles can be the angles of a triangle?
(a) 30°, 60°, 80°
(b) 40°, 60°, 70°
(c) 50°, 30°, 100°
Q 13 – The side lengths 4 cm, 4 cm and 4 cm can be sides of:
(a) Scalene Triangle
(b) Isosceles Triangle
(c) Equilateral Triangle
(d) None of the above
Q 14 – The construction of a triangle ΔABC in which BC = 6 cm, ∠A = 50° is not possible, when difference of BC and AC is equal to
(a) 4.6 cm
(b) 6.4 cm
(c) 5.1 cm
Q 15 – With the help of a ruler and compasses which of the following is not possible to construct?
(a) 120°
(b) 135°
(c) 140°
Q 16 – Which of the following set of lengths can be the sides of a triangle?
(a) 2 cm, 4 cm, 1.9 cm
(b) 1.6 cm, 3.7 cm, 5.3 cm
(c) 5.5 cm, 6.5 cm, 8.9 cm
(d) None of the above
Q 17 – With the help of a ruler and compasses, which of the following is not possible to construct?
(a) 70°
(b) 60°
(c) 135°
Q 18 – Which of the following angles can be constructed using ruler and compass?
(a) 35
(b) 40
(c) 90
(d) 50
Q 19 – If a, b and c are the lengths of three sides of a triangle, then:
(a) a + b > c
(b) a – b > c
(c) a + b = c
(d) a – b = c
Q 20 – To construct an angle of 60 degrees, we need to draw first:
(a) A ray
(b) An arc
(c) Two rays
(d) A straight line
Q 21 – In a football match, a player hits 8 goals out of 60 balls. Find the probability that the player did not hit the goal.
(a) 11/15
(b) 4/5
(c) 8/15
(d) 13/15
Q 22 – An unbiased dice is thrown. What is the probability of getting an even number or a multiple of 3?
(a) 3/2
(b) 2/3
(c) 5/4
(d) 4/3
Q 23 – If m is the mid-point and l is the upper class limit of a class in a continuous frequency distribution, then lower class limit of the class is
(a) 2 m+l
(b) 2 m-l
(c) m-l
(d) m-2l
Q 24 – The mean of 25 observations is 36. Out of these observations, if the mean of first 13 observations is 32 and that of the last 13 observations is 40, the 13th observation is
(a) 23
(b) 36
(c) 38
(d) 40
Q 25 – The maximum probability of an event of a trial is:
(a) 0
(b) 1
(c) Lies between 0 and 1.
(d) -1
Q 26 – In a survey of 364 children aged 19-36 months, it was found that 91 liked to eat potato chips. If a child is selected at random, the probability that he/she does not like to eat potato chips is:
(a) 0.25
(b) 0.50
(c) 0.75
(d) 0.80
Q 27 – The probability of an impossible event is
(a) more than 1
(b) less than 1
(c) 1
(d) 0
Q 29 – In a series of 6 cricket matches, the number of runs scored by the captain of a team are 54, 32, 48, 55, 29, 35. So in the next match, the probability that he will cross the half century is
(a) 0.33
(b) 0.24
(c) 0.35
(d) 0.48
Q 30 – When a die is thrown, the probability of getting an odd number less than 4 is
(a) 1/6
(b) 1/3
(c) 1/2
(d) 0
Q 31 – In the class intervals 10-20, 20-30, the number 20 is included in
(a) 10-20
(b) 20-30
(c) Both the intervals
(d) None of these
Q 32 – What is the probability that a leap year has 53 Sundays?
(a) 7/8
(b) 4/5
(c) 2/3
(d) 2/7
Q 33 – Two coins are tossed 1000 times and the outcomes are recorded as below:
| No. of heads | 2 | 1 | 0 |
| Frequency | 200 | 550 | 250 |
The probability of getting at the most one head is:
(a) 1/5
(b) 1/4
(c) 4/5
(d) ¾
Q 34 – The probability that bulbs selected randomly from the lot has life less than 900 h, is
(a) 11/40
(b) 5/16
(c) 7/16
(d) 9/16
Q 35 – A die is thrown 300 times and odd numbers are obtained 153 times. Then the probability of getting an even number is
(a) 153/300
(b) 147/300
(c) 174/300
(d) 147/153
Q 36 – A standard deck of 52 cards is shuffled. One card is drawn at random. The probability that the card is red or an ace is
(a) 7/13
(b) 5/15
(c) 13/7
(d) 2/13
Q 37 – The sum of the probabilities of all events of a trial is
(a) 1
(b) greater than 1
(c) less than 1
(d) between 0 and 1
Q 38 –In a survey of 364 children aged 19-36 months, it was found that 91 liked to eat potato chips. If a child is selected at random, the probability that he/she does not like to eat potato chips is:
(a) 0.25
(b) 0.50
(c) 0.75
(d) 0.80
Q 39 – Which of the following cannot be the empirical probability of an event?
(a) 
(b)
(c) 0
(d) 1
Q 40 – In a sample study of 640 people, it was found that 512 people have a high school certificate. If a person is selected at random, the probability that the person has a high school certificate is:
(a) 0.5
(b) 0.6
(c) 0.7
(d) 0.8