1. Pipe A can fill a tank in 3 hours. But there is a leakage also, due to which it takes 3.5 hours for the tank to be filled. How much time will the leakage take in emptying the tank if the tank is tilled initially? 21 hours 20 hours 18 hours 10.5 hours Ignore this question Flag :

2. A train takes 10 seconds to cross a pole and 20 seconds to cross a platform of length 200 m. What is the length of the train? 50 m 100 m 150 m 200 m Ignore this question Flag :

3. A, B and C can do a piece of work individually in 8, 12 and 15 days respectively. A and B start working together but A quits alter working for 2 days. After this, C joins and works till completion of the work. In how many days will the work be completed? \( 3\)\( \Large \frac{8}{9} \) \( 5\)\( \Large \frac{8}{9} \) \( 5\)\( \Large \frac{2}{3} \) \( 6\)\( \Large \frac{1}{18} \) Ignore this question Flag :

4. The distance between two points (A and B)is 110 km. X starts running from point A at a speed of 60 km/hr and Y starts running from point B at a speed of 40 km/hr at the same time. They meet at a point C, somewhere on the line AB.What is the ratio of AC to BC ? 3:02 2:03 3:04 4:03 Ignore this question Flag :

5. A is thrice as efficient as B and hence completes a work in 40 days less than the number of days taken by B. What will he the number of days taken by both of them when working together? 22.5 days 15 days 20 days 18 days Ignore this question Flag :

6. If 10 persons can dig 8 feet trench in 12 days,then how many days will 8 persons take to dig 6 feet trench? 10 days 10.25 days 11 days 11.25 days Ignore this question Flag :

7. The height of a tree varies as the square root of its age (between 5 to 17 years). When the age of the tree is 9 years, its height is 4 feet. What will he the height of the tree at the age of 16 years? 5 feet 4 inches 5 feet 5 inches 4 feet 4 inches 4 feet 5 inches Ignore this question Flag :

8. The ratio of ages of A and B is 2 : 5 and the ratio of ages B and C is 3 : 4. What is the ratio of ages of A, B and C? 6:15:20 8:05:03 6:05:04 2:15:04 Ignore this question Flag :

9. When an article is sold at 20% discount, the selling price is Rs 24. What will be the selling price when the discount is 30%? ( Rs.25 Rs.23 Rs.21 Rs.20 Ignore this question Flag :

10. A shopkeeper sells his articles at their cost price but uses a faulty balance which reads 1000 g for 800 g. What is his actual profit percentage. 25% 20% 40% 30% Ignore this question Flag :

11. The difference between compound interest and simple interest for 2 years at the rate of 10% over principal amount of z X is z 10. What is the value of X ? RS.100 RS.1,000 RS.500 RS.5,000 Ignore this question Flag :

12. A sum of money becomes 3 times in 5 years at simple interest. In how many year will the same sum become 6 times at the same rate of simple interest? ( 10 years 12 years 12.5 years 10.5 years Ignore this question Flag :

13. A man buys 200 oranges for Rs.1,000. How many oranges for Rs.100 can he sell to that his profit percentage is 25%? 10 14 16 20 Ignore this question Flag :

14. If m% of m + n =2% of (m X n), then what percentage of m is n ? 50% 75% 100% Cannot be determined due to insufficient data Ignore this question Flag :

15. If the side of a cube is increased by 100% then by what percentage is the surface area of the cube increased? 150% 200% 300% 400% Ignore this question Flag :

16. How many pairs. M p positive integers \( m\) and \( n\) satisfy the equation \( \Large \frac{1}{m} \)+\( \Large \frac{4}{n} \)= \( \Large \frac{1}{12} \) Where \( n\) is an odd integer less than 60? 7 5 4 3 Ignore this question Flag :

17. The sides of a triangle are in the ratio \( \Large \frac{1}{2} \) : \( \Large \frac{1}{3} \) : \( \Large \frac{1}{4} \) If its perimeter is 52 cm, then what is the length of the smallest side? 9 cm 10 cm 11 cm 12 cm Ignore this question Flag :

18. The diameter of a metallic sphere is 6 cm. The sphere is melted and drawn into a wire of uniform circular cross-section. If the length of the wire is 36 m, then what is its radius equal to ? 0.1 cm 0.01 cm 0.001 cm 1.0 cm Ignore this question Flag :

19. Consider all those two-digit positive integers less than 50, which when divided by 4 yield unity as remainder. What is their sum? 310 314 318 323 Ignore this question Flag :

20. If every side of an equilateral triangle is doubled. then the area of new triangle becomes I: times the area of the old one. What is h equal to ? \( \sqrt{3}\) 2 4 8 Ignore this question Flag :

21. If \(a_{n}= 3 - 4n \), then what is \(a_{1} + a_{2} + a_{3} + ...... + a_{n}\) equal to \( [ 1 + 2 + 3 + ..... + n = \frac{n(n + 1)}{2}]\) -n(4n-3) -n(2n-1) -\(n^{2}\) -n(2n-1) Ignore this question Flag :

22. A train travels at a speed of 40km/hr and another train at a speed of 20m/s. what is the ration of speed of the first train to that of the second train? 2:01 5:09 5:03 9:05 Ignore this question Flag :

23. \( \left( x+y\right)\) : \( \left( x-y\right)\)= 3 : 5 and xy = positive imply that \(x \) and \( y\) are both positive \(x \) and \( y\) are both negative One of them is positive and one of them is negative No real solutions for \( x\) and \( y\) exist Ignore this question Flag :

24. How many pairs of \( X\) and \( Y\) are possible in the number \( 763X4Y2\), if the number is divisible by 9? 8 9 10 11 Ignore this question Flag :

25. What is the remainder when \( 4^{1012}\) is divided by 7? 1 2 3 4 Ignore this question Flag :

26. What is the highest common facter of \( 2x^{3}\)+\( x^{2}\)-\( x\)-\( 2\) and \( 3x^{3}\)-\( 2x^{2}\)+\( x\)-\( 2\)? \( x-1\) \( x+1\) \( 2x+1\) \( 2x-1\) Ignore this question Flag :

27. What is the remainder when \( \left( 1235 \times 4523 \times 2451\right)\) is divided by 12? 1 3 5 7 Ignore this question Flag :

28. What is the remainder when \( \left(17^{23} + 23^{23} + 29^{23}\right)\) is divided by 23? 0 1 2 3 Ignore this question Flag :

29. \( p\),\( q\) and r are prime numbers. Such that p< q

1 2 3 None of these Ignore this question

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30. The LCM of two numbers is 90 times their HCF. The sum of DCM and HCF is 1456. If one of the numbers is 160; then what is the other number?

120 136 144 184 Ignore this question

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31. The LCM of two integers is 1237. What is their HCF?

37 19 1 Cannot be determined Ignore this question

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32. What is \( \Large \frac{1}{a-b} \)-\( \Large \frac{1}{a+b} \)-\( \Large \frac{2b}{a^{2}+b^{2}} \)-\( \Large \frac{4b^{3}}{a^{4}+b^{4}} \)-\( \Large \frac{8b^{7}}{a^{8}-b^{8}} \)

\( a+b\) \( a-b\) \( 1\) \( 0\) Ignore this question

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33. A man rides one third of the distances from A to B at the rate of \( x\)km/hr and the remainder at the rate of \( 2y\) km/hr. If he had travelled at a uniform rate of \( 6z\) km/hr, he could have ridden from A to B and back again in he same time Which one of the following is correct?

\( z\) = \( x\) + \( y\) \(3 z\) = \( x\) + \( y\) \( \Large \frac{1}{z} \) = \( \Large \frac{1}{x} \)+\( \Large \frac{1}{y} \) \( \Large \frac{1}{2z} \) = \( \Large \frac{1}{x} \)+\( \Large \frac{1}{y} \) Ignore this question

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34. If \( ax\) + \( by\) - \( 2\) = 0 and \( axby\) = \( 1\), where \( a\) \( \ne\)\( 0\),\( b\) \( \ne\)\( 0\) then what is \( \left( a^{2} x + b^{2 y}\right)\) equal to?

\( a\) +\( b\) \( 2ab\) \( a^{3}\) +\( b^{3}\) \( a^{4}\) +\( b^{4}\) Ignore this question

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35. Consider the following statements :
1. \( \left( a - b - c \right)\) is one of the factors of \( 3abc\) + \( b^{3}\) + \( c^{3}\) - \( a^{3}\)
2. \( \left( b + c - 1 \right)\) is one of the factors of \( 3abc\) + \( b^{3}\) + \( c^{3}\) - \( 1\)
Which of the above statements is/are correct?

1 only 2 only Both 1 and 2 Neither 1 nor 2 Ignore this question

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36. \( 7^{10}\) - \( 5^{10}\) is divisible by

10 7 5 11 Ignore this question

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37. Consider the following statements in respect of four spheres A, B, C and D having respective radii 6, 8, 10 and 12 cm :
1. The surface area of sphere C is equal to the sum of surface areas of spheres A and B.
2. The volume of sphere D is equal to the sum of volumes of spheres A, B and C.
Which of the above statements is/are correct?

1 only 2 only Both 1 and 2 Neither 1 nor 2 Ignore this question

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38. What is the number of divisors of 360?

12 18 24 None of these Ignore this question

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39. The multiplication of a three-digit number \( XY5\)with digit \( Z\) yields \( X215.\)What is \( X + Y + Z \)equal to?

13 15 17 18 Ignore this question

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40. If the equation \( x^{2}\) + \( 2\)\( \left( 1+k\right)\)\( x\) + \( k^{2}\) = \( 0\) has equal roots, then what is the value of k?

\( \Large \frac{1}{2} \) -\( \Large \frac{1}{2} \) \( 1\) \( -1\) Ignore this question

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41. If \( m\) and \( n\) are the roots of the equation \( x^{2}\) +\( ax\) + \( b\) = \( 0\), and \( m^{2}\) and \( n^{2}\) are the roots of the equation \( x^{2}\) - \( cx\) +\( d\) = \( 0\), then which of the following is/are correct?
1.\( 2b\) - \( a^{2}\) = \( c\)
2.\( b^{2}\)= \( d\)
Select the coorect answer using the code given below :

1 only 2 only Both 1 and 2 Neither 1 nor 2 Ignore this question

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42. If \( N^{2}\) - \( 33\), \( N^{2}\) - \( 31\) and \( N^{2}\) - \( 29\) are prime numbers, then what is the number of possible values of \( N\), where \( N\) is an integer?

1 2 6 None of these Ignore this question

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43. There are 48 cricket balls, 72 hockey balls and 84 tennis balls, and they have to be arranged in several rows in such a way that every row contains the same number of balls of one type. What is the minimum number of rows required for this to happen? (

12 16 17 19 Ignore this question

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44. The HCF of two natural numbers m and n is 24 and their product is 552. How many sets of values of m and n are possible? (

1 2 4 No set of m and n is possible satisfying the given conditions Ignore this question

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45. If \( m\) and \( n\)\(\left( m > n\right) \) are the roots of the equation
\( 7\)\( \left( x + 2a\right)^{2}\) + \( 3a^{2}\) = \( 5a\)\( \left( 7x + 23a\right)\)
Where \( a>0\) then what is \( 3m\) - \( n\) equal to ?

12a 14a 15a 18a Ignore this question

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46. A person selling an article for Rs.96 finds that his loss percent is one fourth of the amount of rupees that he paid for the article. What can be the cost price?

Rs.160 only Rs.240 only Rs.160 or Rs.240 Neither Rs.160 nor Rs.240 Ignore this question

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47. If (x + k) is the common factor of \( x^2 + ax + b \) and \( x^2 + cx + d \), then what is k equal to ?

(d - b)/(c - a) (d - b)/(a - c) (d + b)/(c + a) (d - b)/(c + a) Ignore this question

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48. What is the remainder when \( x^{5}\) - \( 5x^{2}\) + \( 125\) is divided by\( x\)+\( 5\)?

0 125 -3125 3125 Ignore this question

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49. What is the lowest common multiple of \( ab\)\( \left( x^{2}+1\right)\)+\( x\)\( \left( a^{2}+b^{2}\right)\)and \( ab\)\( \left( x^{2}-1\right)\)+\( x\)\( \left( a^{2}-b^{2}\right)\)?

\( \left( a^{2} x^{2}-b^{2}\right)\)\( \left( a + bx\right)\) \( \left( a^{2} x^{2}-b^{2}\right)\)\( \left( a + bx\right)^{2}\) \( \left( a^{2} x^{2}-b^{2}\right)\)\( \left( a - bx\right)\) \( \left( a^{2} x^{2}-b^{2}\right)\)\( \left( a - bx\right)^{2}\) Ignore this question

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50. A certain number of two digits is three times the sum of its digits. If 45 is added to the number, the digits will be reversed. What is the sum of the squares of the two digits of the number?

41 45 53 64 Ignore this question

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51. If from the top of a post a string twice the length of the post is stretched tight to a point on the ground, then what angle will the string make with the post?

\( \Large \frac{\pi}{6} \) \( \Large \frac{\pi}{4} \) \( \Large \frac{5\pi}{12} \) \( \Large \frac{\pi}{3} \) Ignore this question

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52. The price of a commodity increased by 5% from 2010 to 2011, 8% from 2011 to 2012 an 77% from 2012 to 2013. What is the average price increase (approximate) from 2010 to 2013?

26% 32% 24% 30% Ignore this question

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53. A railroad curve is to be laid on a circle. What radius (approximate) should be used if the track is to change direction by \( 25 ^{\circ}\) in a distance of 120 m?

300 m 280 m 275 m 264 m Ignore this question

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54. If \( 0\)<\( \theta\)<\( \Large \frac{\pi}{4} \), then what is \( \sqrt{1-2\sin \theta \cos \theta}\) to?

\(\cos \theta \)-\(\sin \theta \) \(\sin \theta \)-\(\cos \theta \) \( \pm\)\(\cos \theta \)-\(\sin \theta \) \(\cos \theta \sin \theta \) Ignore this question

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55. If \( \tan \theta\) + \( \cot \theta\) = \( 2\), then what is \( \sin \theta\)+\( \cos \theta\) equal to ?

\( \Large \frac{1}{2} \) \( \Large \frac{1}{\sqrt{3}} \) \(\sqrt{2} \) 1 Ignore this question

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56. What is \( \Large \frac{\sec x}{\cot x+\tan x} \) equal to ?

\( \sin x\) \( \cos x\) \(\tan x \) \( cot x\) Ignore this question

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57. From a certain point on a straight road, a person observes a tower in the west direction at a distance of 200 m. He walks some distance along the road and finds that the same tower is 300 m south of him. What is the shortest distance of the tower from the road?

\(300\sqrt{13} \)m \(500\sqrt{13} \)m \(600\sqrt{13} \)m \(900\sqrt{13} \)m Ignore this question

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58. What is (\( \Large \frac{sin x-cos x+1}{sin x + cos x -1} \) ) eqaul to?

(\( \Large \frac{sin x-1}{ cos x} \) ) (\( \Large \frac{sin x+1}{ cos x} \) ) (\( \Large \frac{sin x-1}{ cos x+1} \) ) (\( \Large \frac{sin x+1}{ cos x+1} \) ) Ignore this question

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59. what is (\( sin^{2}x - cos^{2}x) ( 1-sin^{2}x cos^{2}x\)) equal to?

(\( sin^{4}x - cos^{4}x) \) (\( sin^{6}x - cos^{6}x) \) (\( sin^{8}x - cos^{8}x) \) (\( sin^{8}x - cos^{8}x) \) Ignore this question

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60. What is (sin x cos y + cos x sin y)(sin x cos y - cos x sin y) equal to?

\( cos^{2}x - cos^{2}y\) \( cos^{2}x - sin^{2}y\) \( sin^{2}x - cos^{2}y\) \( sin^{2}x - sin^{2}y\) Ignore this question

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61. what is (1 + cot x - cosec x)(1 + tan x + cot x) equal to?

Sin x + cos x Sin x - cos x 2 1 Ignore this question

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62. What is (cosec x - sin x)(sec x - cos x)(tan x + cot x)equal to?

Sin x + cos x Sin x - cos x 2 1 Ignore this question

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63. Consider the following statements:
1. \(Sin 1^{\circ} > Sin 1\)
2. \(Cos 1^{\circ} < Cos 1\)
Which of the above statements is/are correct?

1 only 2 only Both 1 and 2 Neither 1 nor 2 Ignore this question

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64. If sin x + cosec x = 2, then what is \(sin^{9}x + cosec^{9}x\) equal to ?

2 18 512 1024 Ignore this question

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65. If sin x + cos x = p and \( sin^{3}x + cos^{3}x = q\), then what is p^{3} - 3p equal to ?

0 -2q 2q 4q Ignore this question

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66. What is the number of pairs of perpendicular planes in cuboid?

4 8 12 None of these Ignore this question

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67. How many equilateral triangles can be formed by joining any three vertices of a cube?

0 4 8 None of these Ignore this question

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68. For the next two (2) items that follow :
ABCD is a trapezium in which AB is parallel to CD. Let M be the midpoint of BC.
68. Consider the following statements :
1. 'Area of triangle ADM + Area of triangle DCM' is equal to three-fourth of the area of trapezium ABCD, if AB = CD.
2. 'Area of triangle DCM + Area of triangle ABM' is always greater than half of the area of trapezium ABCD.
Which of the above statements is/are correct?

1 only 2 only Both 1 and 2 Neither 1 nor 2 Ignore this question

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69. Consider the following statements :
1. 'Area of triangle ADM Area of triangle ABM' is always equal to area of triangle DCM, if AB = CD.
2. Half of area of triangle ABM is equal to one-eighth of area of trapezium ABCD. if AB = CD
Which of the above statements is/are correct?

1 only 2 only Both 1 and 2 Neither 1 nor 2 Ignore this question

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70. ABCD is a parallelogram. P and R are the midpoints of DC and BC respectively. The line PR intersects the diagonal AC at Q. The distance CQ will be equal to

\( \Large \frac{AC}{4} \) \( \Large \frac{BD}{3} \) \( \Large \frac{BD}{4} \) \( \Large \frac{AC}{3} \) Ignore this question

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71. Consider the following statements in respect of an equilateral triangle :
1. The altitudes are congruent.
2. The three medians are congruent.
3. The centroid bisects the altitude.
Which of the above statements are correct?

1 and 2 only 2 and 3 only 1 and 3 only 1, 2 and 3 Ignore this question

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72. Consider the following : ABC and DEF are triangles in a plane such that AB is parallel to DE, BC is parallel to EF and CA is parallel to FD.
Statement I : If angle ABC is a right angle, then angle DEF is also a right angle. ,
Statement II : Triangles of the type ABC and DEF are always congruent.
Which one of the following is correct in respect of the above statements ?

Statement-I and Statement-II are correct and Statement-II is the correct explanation of Statement-I Statement-I and Statement-II are correct and Statement-II in not the correct explanation of Statement-l Statement-l is correct and Statement-II is incorrect Statement I is incorrect and Statement-II is correct Ignore this question

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73. Let the incircle to a triangle ABC touch BC, AC and AB respectively at the points X, Y and Z.
Statement I: If AB > BC, then AB + AZ < BC + XC
Statement H : AZ = AY
Which one of the following is correct in respect of the above statements?

Statement-I and Statement-II are correct and Statement-II is the correct explanation of Statement-I Statement-I and Statement-II are correct and Statement-II in not the correct explanation of Statement-l Statement-l is correct and Statement-II is incorrect Statement I is incorrect and Statement-II is correct Ignore this question

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74. Let ABC be a triangle in which \( \angle ACB = 60^{\circ}\) and AC = x < BC. Let the circle with centre at C and radius x meet BC at D. Let CF be the perpendicular drawn from C meeting AD at F.
Statement I : Triangle ACD is isosceles but not equilateral.
Statement II : DF = x/2
Which one of the following is correct in respect of the above statements?

Statement I and Statement II are correct and Statement II is the correct explanation of Statement I Statement I and Statement II are correct and Statement II is not the correct explanation of Statement I Statement I is correct and Statement II is incorrect Statement I is incorrect and Statement II is correct Ignore this question

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75. Bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect each other at a point P. Which one of the following is correct?

\(2 \angle APB = \angle C + \angle D \) \(\angle APB = \angle C + \angle D \) \(\angle APB = 180^{\circ}( \angle A + \angle B) \) \(\angle APB = 180^{\circ}( \angle C + \angle D) \) Ignore this question

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76. In a triangle ABC, AD is the median through A and E is the midpoint of AD, and BE produced meets AC at F. Then AF is equal to

\( \Large \frac{AC}{5} \) \( \Large \frac{AC}{4} \) \( \Large \frac{AC}{3} \) \( \Large \frac{AC}{2} \) Ignore this question

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77. Three straight lines are drawn through the three vertices of a triangle ABC, the line through each vertex being parallel to the opposite side. The triangle DEF is bounded by these parallel lines. Consider the following statements in respect of the triangle DEF:
1. Each side of triangle DEF is double the side of triangle ABC to which it is parallel.
2. Area of triangle DEF is four times the area of triangle ABC.
Which of the above statements is/are correct?

1 only 2 only Both 1 and 2 Neither 1 nor 2 Ignore this question

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78. Let ABCD be a parallelogram. Let X and Y be the midpoints of the sides BC and AD respectively. Let M and N be the midpoints of the sides AB and CD respectively. Consider the following statements :
1. The straight line MX cannot be parallel to YN
2. The straight lines AC, BD, XY and MN meet at a point.
Which of the above statements is/are correct?

1 only 2 only Both 1 and 2 Neither 1 nor 2 Ignore this question

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79. The chord of an arc of a circle is of length x, the height of the arc is y and the radius of the circle is z.
Which one of the following is correct?

y(2z -y) = \( x^{2}\) y(2z - y) = \( 4x^{2}\) 2y(2z - y) =\( x^{2}\) 4y(22 - y) = \( x^{2}\) Ignore this question

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80. In a triangle ABC,

\( \sqrt{2}\):1

\( \sqrt{3}\):1

1:1

1:\( \sqrt{2}\)

Ignore this question

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81. What is the maximum distance between two points of a cube of side 2 cm?

\( \sqrt{3}\)cm \( 2\sqrt{3}\)cm \( 4\sqrt{3}\)cm \( 2\sqrt{2}\)cm Ignore this question

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82. The areas of the three adjacent faces of a cuboidal box are at, x, 4x and 9x square unit. What is the volume of the box?

\(6 x^{2}\) \(6 x^{3/2}\) \(3 x^{3/2}\) \(2 x^{3/2}\) Ignore this question

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83. A cylinder circumscribes a sphere. What is the ratio of volume of the sphere to that of the cylinder?

2 : 3 1 : 2 3 : 4 3 : 2 Ignore this question

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84. If for a triangle the radius of the circumcircle is double the radius of the inscribed circle, then which one of the following is correct?

The triangle is right angled The triangle is isosceles The triangle is equilateral None of these Ignore this question

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85. What is the total surface area of the toy?

\( 132 \pi cm^{2}\) \( 112 \pi cm^{2}\) \( 96 \pi cm^{2}\) \( 66 \pi cm^{2}\) Ignore this question

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86. What is the volume of the toy?

\( 180 \pi cm^{2}\) \( 240 \pi cm^{2}\) \( 300 \pi cm^{2}\) \( 320 \pi cm^{2}\) Ignore this question

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87. What is the volume of the double cone so formed?

\( 3124 cm^{2}\) \( 3424 cm^{2}\) \( 3768 cm^{2}\) \( 3924 cm^{2}\) Ignore this question

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88. What is the surface area of the double cone so formed?

\( 1101.2 cm^{2}\) \( 1111.4 cm^{2}\) \( 1310.4 cm^{2}\) \( 13118.8 cm^{2}\) Ignore this question

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89. Consider the following statements :
1. The volume of the cone generated when the triangle is made to revolve about its longer leg is same as the volume of the cone generated when the triangle is made to revolve about its shorter leg.
2. The sum of the volume of the cone generated when the triangle is made to revolve about its longer leg and the volume of the cone generated when the triangle is made to revolve about its shorter leg is equal to the volume of the double cone generated when the triangle is .made to revolve about its hypotenuse.
Which of the above statements is/are correct?

1 only 2 only Both 1 and 2 Neither 1 nor 2 Ignore this question

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90. What is the area of the parallelogram?

\( 63 m^{2}\) \( 96 m^{2}\) \( 126 m^{2}\) \( 125 m^{2}\) Ignore this question

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91. What is the shorter height of the parallelogram?

9.0 m 7.5 m 5.5 m 4.5 m Ignore this question

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92. Consider the following statements :
1. The difference between the diagonals of the parallelogram is more than 20 m.
2. The difference between the heights of the parallelogram is more than 10 m.
Which of the above statements is/are correct?

1 only 2 only Both 1 and 2 Neither 1 nor 2 Ignore this question

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93. If one of the roots of the equation \( px^{2}\)+ \( qx\)+\( r\)=\( 0\)is three times the other, then which one of the following relations is correct?

\( 3q^{2}\)= \( 16 pr\) \( q^{2}\) = \( 24 pr\) \( p\) = \( q\)+\( r\) \( p\)+\( q\)+\( r\)=\( 1\) Ignore this question

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94. If the radius of a circle is increased by 6%, then its area will increase by

6% 9% 12.36% 16.64% Ignore this question

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95. The class which has maximum frequency is known as

median class mean class modal class None of these Ignore this question

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96. Consider the following statements related to Cumulative frequency polygon of a frequency distribution, the frequencies being cumulated from the lower end of the range :
l. The cumulative frequency polygon gives an equivalent representation of frequency distribution table.
2. The cumulative frequency polygon is a closed polygon with one horizontal and one vertical side. The other sides have non-negative slone.
Which of the above statement is/are correct?

1 only 2 only Both 1 and 2 Neither 1 nor 2 Ignore this question

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97. Consider the following data :
1. Number of complaints lodged due to road accidents in a State within a year for 5 consecutive years
2. Budgetary allocation of the total available funds to the various items of expenditure
Which of the above data is/are suitable for representation of a pie diagram?

1 only 2 only Both 1 and 2 Neither 1 nor 2 Ignore this question

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98. When we take class intervals on the x-axis and corresponding frequencies on the y-axis, and draw rectangles with the areas proportional to the frequencies of the respective class intervals, the graph so obtained is called

bar diagram frequency curve ogive None of these Ignore this question

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99. If \( x_{i}\) 's are the midpoints of the class intervals of grouped data, \( f_{i} \)'s are the corresponding frequencies and is the mean, then what is \( \Sigma f_{i} (x_{i} - \overline{x})\) equal to?

0 -1 1 2 Ignore this question

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100. The observations 6, 14, 15, 17, x + 1, 2: 13, 30. 32, 34, 43 are written in ascending order. The median of the data is 24. What is the value of x?

15 18 20 24 Ignore this question

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