36.

37.

38.

39.

40.

41. Which one of the following words in the passage indicates that the writer does not ultimately reject the element of luck ?

42. Which pair of words means the same thing ?

43. Which one of the following statements sums up the meaning of the passage ?

44. Labour turns out at six and with busy pen and ringing hammer lays the foundation of competence. What does this statement mean ?

45. Which one of the statements is true about the passage ?

46. The word ‘dynamic’ in the concluding line of the passage means :

47. Which of the following statements is incorrect ?

48. Violence without these motives’ is possible only in :

49. ‘Indeed, violence is bad, not intrinsically, but because of these motives that go with it’. This suggests :

50. Non-violence, according to the writer, means :

1. The ratio of two numbers is 3 : 4 and their HCF is 5. Their LCM is :

2. The value of tan 1° tan2° tan3° …tan 89° is:

3. A man sold 250 chairs and had a gain equal to selling price of 50 chairs. His profit per cent is :

4. A can do as much work as B and C together can do. A and B can together do a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time (in hours) that B needs to do the work alone, is :

5. A solid right circular cylinder and a solid hemisphere stand on equal bases and have the same height. The ratio of their whole surface areas is:

6. If area of an equilateral triangle is a and height b, then value of \( b^{2}/a \) is

7. The batting average for 30 finings of a cricket player is 40 runs. His highest score exceeds his lowest score by 100 runs. If these two innings are not included, the average of the remaining 28 innings is 38 runs. The lowest score of the player is :

8. An article was sold at 16% gain. Had it been sold for 2200 more, the gain would have been 20%. Then the cost price of the article is :

9. From the top of a hill 200 m high, the angle of depression of the top and the bottom of a tower are observed to be 30° and 60°. The height of the tower is (in m) :

10. A copper sphere of diameter 18 cm is drawn into a wire of diameter 4 mm. The length of the wire, in metre, is :

11. Triangle PQR circumscribes a circle with centre 0 and radius r cm such that LPQR = 90°. If PQ = 3 cm, QR = 4 cm, then the value of r is :

12.

13. Water flows at the rate of 10 metres per minute from a cylindrical pipe 5 mm in diameter. How long it lake to fill up a conical vessel whose diameter at the base is 30 cm and depth 24 cm ?

14. Three circles of equal radius ‘a’ cm touch each other. The area of the shaded region is :

15. If x = a- b, y = b- c, z = c- a, then the numerical value of the algebraic expression\(x^{3} + y^{3} + z^{3} – 3xyz\) will be

16. The linear equation such that each point on its graph has an ordinate four times its abscissa is :

17. A godown is 15 m long and 12 m broad. The sum of the areas of the floor and the ceiling is equal to the sum of areas of the four walls. The volume (in m ) of the godown is:

18. 3 men and 7 women can do a job in 5 days, while 4 men and 6 women can do it in 4 days. The number of days required for a group of 10 women working together, at the same rate as before, to finish the same job is :

19. The value of

20. A shopkeeper marked the selling price of his goods in such a way that after giving a discount of 10% he gains 17%. How much per cent above the cost price is the marked price?

21. One of the factors of the expression

22. On a journey across Kolkata, a taxi averages 50 km per hour for 50% of the distance, 40 km per hour for 40% of it and 20 km per hour for the remaining. The average speed, in km/hour, for the whole journey is :

23. A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black socks is double that of a brown pair. While preparing the bill the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50%. The ratio of the number of black and brown pairs of socks in the original order was :

24. In the following figure, AB be diameter of a circle whose centre is 0. If ∠AOE = 150°, ∠DAO = 51° then the measure of ∠CBE is :

25. If the square of the sum of two numbers is equal to 4 times of their product, then the ratio of these numbers is :

26. If a2 + b2 = 5ab, then the value of

27. In a big garden 60% of the trees are coconut trees, 25% of the number of coconut trees are mango trees and 20% of the number of mango trees are apple trees. If the number of apple trees are 1500, then the number of trees in the garden is :

28. A sum of money placed at compound interest doubles itself in 5 years. It will amount to eight times of itself in :

29. Minimum value of \(4tan^{2}θ + 9cot^{2}θ\) is :

30. If 50% of (P – Q) = 30% of (P + Q) and 9 = x% of P, then the value of x is :

31. If sinθ – cosθ = 1/2 the value of sinθ + cosθ is :

32. If cosecθ – cotθ = 7/2 , the value of cosecθ is :

33.

34. A single discount equivalent to the following three successive discounts of 30%, 20% and 10% is given by :

35. The greatest among the following numbers

36. The areas of two similar triangles ABC and DEF are 20 cm2 and 45 cm2 respectively. If AB = 5 cm, then DE is equal to :

37. In a triangle ABC, BC is produced to D so that CD = AC. If ∠BAD=111° and ∠ACB = 80°. then the measure of ∠ABC is :

38. In ΔABC, ∠A + ∠B = 145° and ∠C + 2∠B = 180°, State which one of the following relations is true ?

39. If the volumes of two right circular cones are in the ratio 4 : 1 and their diameters are in the ratio 5 : 4 then the ratio of their heights is :

40. The proportion of acid and water in three samples is 2 : 1, 3 : 2 and 5 : 3. A mixture containing equal quantities of all three samples is made. The ratio of water and acid in the mixture is :

41. A train 270 metre long is running at a speed of 36 km per hour, then it will cross a bridge of length 180 metres in :

42. In 2002 – 2003, the percentage increase in the production of barley as compared to the previous year was :

43. During the period 1999 – 2000 to 2003 – 2004, x per cent of the total production is production of wheat. The value of x is about :

44. In the year 2003 – 2004, the increase in production was maximum over the previous year for :

45. The difference of average production of rice and the average production of barley over the years is :

46. The approximate decline in the production of flavour Z in 2010 as compared to the production in 2008 is :

47. The average annual production was maximum in the given period for the flavour:

48. What percent of the total production of flavour X in 2005 and 2006 combined is the total production of flavour Z in 2007 and 2008 combined ?

49. The percentage of rise/fall in production from the previous year is maximum for the flavour Y in this year :

50. The difference (in lakh bottles) between the average production of flavour X in 2005, 2006, 2007 and the average production of flavour Y in 2008, 2009 and 2010 is :

1. ADHM : ZUQN :: GIKM : ?

2. 7 :133 :: 9 : ?

3. 36 : 216 :: 81 : ?

4. Victory : Joy :: ? : Sorrow

5. Body : Stomach :: Library : ?

6. HAND : JBPE :: PALM : ?

7.

8.

9.

10.

11.

12.

13. Arrange the following words as per order in the dictionary.
(1) Forge
(ii) Forget
(iii) Forgo
(iv)Forgive
(v) Format

14. Which one of the given responses would be a meaningful order of the following words?
(i) Police
(ii) Punishment
(iii) Crime
(iv) Judge
(v) Judgement

15. KJL, ONP, SRT, ?

16. 198, 202, 211, 227, ?

17. AN, BO, CP, DQ, ?

18. 7, 25, 61, 121, ?

19. A group of alphabets are given with each being assigned a number. These have to be unscrambled into a meaningful word and correct order of letters may be indicated from the given responses.

20. Which one of the following diagrams best depicts the relationship among Mammals, Cows and Crows ?

21. Which of the following figure best represents the relationship amongst the Human being, Girl, Boy ?

22. In a row at a bus stop, ‘A’ is 7th from the left and ‘B’ is 9th from the right. They both interchange their positions. Now A becomes 1 1 th from the left. How many people are there in the row ?

23. At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun’s age will be 26 years. What is the age of Deepak at present ?

24. From the given alternatives select the word which cannot be formed using the letters of the given word. Encouragement

25. If DELHI is coded as 73541 and CALCUTTA as 82589662, then how would CALICUT be coded in that code ?

26. If ‘JUNE’ is written as ‘PQRS’ an ‘AUGUST’ is written as ‘WQFQMN’. How can ‘GUEST be written in this same coding language ?

27. In the given figure, circles represent students studying three different subjects. How many students study all the three subjects ?

28. Arun said, “This girl is the wife of the grandson of my mother”. Who is Arun to the girl ?

29. If 235 = 38 and 452 = 45, then 345 = ?

30. 2 × 3 =49, 5 × 6=2536, 1 × 9 = 181, 4 × 7 = ?

31. If ‘×’ means ‘+’, ÷ means ‘-‘ , + means ‘÷’ and `-‘ means ‘×’ then what should be the value of the given equation? 14 × 4 ÷ 70 + 10 – 2 = ?

32. Select the correct combination of mathematical signs to replace * signs and to balance the given equation. 5 * 5 * 5 * 3 * 10

33.

34.
12 15 36
03 04 05
04 06 04
40 66 ?

35. Seerna walks 30 m North. Then she turns right and walks 30 m then she turns right and walks 55 m. Then she turns left and walks 20 m. Then she again turns left and walks 25m. How many metres away is she from her original position?

36. Four different positions of dice are as shown below. What number is opposite to face 3 ?

37. After walking 10 m, Shankar turned left and covered a distance of 6 m, then turned right and covered a distance of 20 m. In the end, he was moving towards the south. From which direction did Shankar start his journey ?

38. Six persons are sitting in a circle. A is facing B, B is to the right of E and left of C. C is to the left of D. F is to the right of A. Now D exchanges his seat with F and E with B. Who will be sitting to the left of D ?

39. Statement : Songs always have singers to sing them.
Conclusions :
I. Singers make a song.
II. There is no un-sung song.

40. Statements :
I. Some cats are dogs.
II. No dog is a toy.
Conclusions :
I. Some dogs are cats.
II. Some toys are cats.
III. Some cats are not toys.
IV: All toys are cats.

41. Question Figure:

42. Question Figure:

43. Question Figure:

44. Question Figure:

45. Question Figures:

46. Question Figures:

47. Question Figure:

48. Question Figure:

49. A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices given below. The columns and rows of matrix I are numbered from 0 to 4 and that of matrix II numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column e.g., ‘C’ can be represented by 00,-12, 23, etc. and ‘M’ can be represented by 56, 67, 77, etc. Similarly, you have to identify the set for the given word – GOD.

50. A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of matrix I are numbered from 0 to 4 and that of matrix II numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column e.g., ‘B’ can be represented by 01, 10, 22, etc. and ‘F’ can be represented by 55, 76, 86, etc. Similarly, you have to identify the set for the given word – CAGE.