1) An urn contains 11 oranges, 8 mangoes and 13 apples. A fruit is drawn at random. What is the probability of not drawing an apple ?

2) Two dice are thrown simultaneously. The probability of getting a multiple of 2 on one die and a multiple of 3 on the other is ______.

3) In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

4) The probability of guessing the correct answer to a question is x/2 . If the probability of not guessing the correct answer to this question is 2/3, then x = ______.

5) The mean of 13 observations is 14. If the mean of the first 7 observations is 16 and that of the last 7 observations is 12, then the 7th observation is ______.

6) The mean of ten items is p and if each item is decreased by 3, then its mean will be _____ .

7) Find the median of the data given below.
14, 6, 9, 15, 14, 9, 21, 21, 25, 21, 27, 29, 21, 8, 6, 15, 25, 14, 21, 9, 21, 25, 27, 29, 6, 14, 21, 21, 27, 25, 27, 9, 15, 14, 9

8) Find the mode of the given data.
7, 4, 3, 5, 6, 3, 3, 2, 4, 3, 4, 3, 3, 4, 4, 3, 2, 2, 4, 3, 5, 4, 3, 4, 3, 4, 3, 1, 2, 3

9) Each side of a cube is increased by 50%. Then the surface area of the cube increases by

10) Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then the ratio of the shorter side to the longer side is

11) The number of surfaces in right circular cylinder is

12) A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm. Find the volume of the wood.

13) A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base 28 cm, find the height of the parallelogram.

14) The area of a parallelogram ABCD in which AB = 12 cm, BC = 9 cm and diagonal AC = 15 cm is k cm². Find the value of k −100/4.

15) A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate of ₹ 5 per cm². Find the cost of painting.

16) The base of an isosceles triangle measures 24 cm and its area is 192 cm². Find its perimeter.

17) The bisectors of angles of a parallelogram forms a

18) If a quadrilateral has two adjacent sides are equal and the opposite sides are unequal, then it is called a

19) If diagonals of a quadrilateral bisect each other at right angles, then it is a

20) Study the statements carefully.
Statement-1 : If a sum of a pair of opposite angles of a quadrilateral is 180°, the quadrilateral is cyclic.
Statement-2 : A line drawn through mid point of a side of a triangle, parallel to another side equal to third side. Which of the following options holds?

21) You _________ consult the Thesaurus if you need groups of synonyms for those words.

22) Everybody _________ keen to participate in the upcoming nukkad natak.

23) The good news is that _________ volunteers dropped out this month than the last two.

24) My father is not arrogant. He talks to everyone softly.

25) It was late in the evening. So I decided to quit the practice session.

26) In my absence, my mother looks after my children.

27) I______ on this line before I realised my mistake.

28) The doctor_____ an operation.

29) I _______ we should accept the offer.

30) We rested _____ the shade of the tree.

31) The northern most range of the Himalayas is known as

32) Dudhwa National Park is located in the state of

33) The soil containing calcareous deposits is locally known as

34) Which of the following divisions of India has the oldest landmass?

35) Which of these is a provision that a democratic constitution does not have ?

36) Which among the following is not a feature of the Indian Constitution?

37) Mahatma Gandhis vision about the Indian Constitution was published in which magazine?

38) The leader of the Bolshevik party was

39) In the context of Russia, what was ‘KULAK’?

40) In the World War I, which started in 1914, Russia fought against

41) Amongst element X (2,8,6) and (2,8,8) which is more reactive and why ?

42) The valence electrons of an element are reponsible for

43) The electronic configuration of the element with atomic number 19 is

44) The balancing of chemical equations is in accordance with:

45) The combining capacity of an element is called

46) What is the phylum of Octopus?

47) What is the mode of nutrition in bacteria?

48) What does a bacteria lack?

49)  Which of the these are found filamentous

50) Identify the correct symbol of gold: