6r

**2. Find the range of real values of x satisfying the inequalities 3x - 2 > 7 and 4x - 13 > 15.**

1. x > 3

2. x > 7

3. x < 7

4. x < 3

Ans :B

1. Rs. 105 and Rs. 6

2. Rs. 216 and Rs. 12

3. Rs. 210 and Rs. 12

4. Rs. 210 and Rs. 6

Ans :D

1. 2

2. 4

3. 8

4. 6

Ans : C

**5. Find the G.C.D of 12x2y3z2, 18x3y2z4, and 24xy4z3**

1. 6xy2z2

2. 6x3y4z3

3. 24xy2z2

4. 18x2y2z3

Ans : A

1. 61

2. 71

3. 73

4. 89

Ans : C

1. 7, 8

2. 8, 6

3. 6, 4

4. 5, 4

Ans : C

**8. Which is greater of the two?**

1. 2300

2. 3200

3. Both are equal

4. Cannot be determined

Ans : B

**9. How many zeros contained in 100!?**

1. 100

2. 24

3. 97

4. Cannot be determined

Ans : B

1. 599

2. 1021

3. 263

4. Cannot be determined

Ans : A

1. 200 seconds

2. 240 seconds

3. 160 seconds

4. 140 seconds

Ans : C

1. 36 meters

2. 48 meters

3. 60 meters

4. 72 meters

Ans : B

1. 200 seconds

2. 140 seconds

3. 220 seconds

4. 190 seconds

Ans : D

1. 150

2. 200

3. 100

4. 170

Ans : D

1. 250 seconds

2. 285 seconds

3. 220 seconds

4. 215 seconds

Ans : D

1. 390 m

2. 330 m

3. 600 m

4. 720 m

Ans : A

1. 56

2. 84

3. 64

4. 48

Ans : B

1. Yes

2. In the 6th leap

3. Never

4. Cannot determine

Ans : D

1. 8 seconds

2. 10 seconds

3. 16.67 seconds

4. 12.5 seconds

Ans : D

1. 150 seconds

2. 165 seconds

3. 135 seconds

4. 66.67 seconds

Ans : C

1. 12.5 m/sec

2. 20 m/sec

3. 8 m/sec

4. 10 m/sec

Ans : D

1. 0.512 liters

2. 12 liters

3. 14.38 liters

4. 15.36 liters

Ans : D

1. 40

2. 30

3. 50

4. 60

Ans : C

1. 6 litres

2. 10 litres

3. 30 litres

4. None of these

Ans : B

1. 4 litres

2. 2 litres

3. 1 litre

4. 1.5 litres

Ans : B

1. 20 kgs

2. 12.5 kgs

3. 16 kgs

4. 200 kgs

Ans : A

1. 7 litres

2. 10 litres

3. 5 litres

4. None of these

Ans : C

1. 1 kg

2. 5 kgs

3. 3 kgs

4. 6 kgs

Ans : B

1. 1 : 2 : 4

2. 3 : 7 : 6

3. 1 : 4 : 2

4. None of these

Ans : C

1. 17 : 3

2. 9 : 1

3. 3 : 17

4. 5 : 3

Ans : B

1. Rs.520

2. Rs.1080

3. Rs.1170

4. Rs.630

Ans : A

1. 4888.88

2. 9333.33

3. 4000

4. 3666.66

Ans : A

1. 42, 28

2. 36, 24

3. 30, 20

4. 25, 15

Ans : C

1. 150

2. 200

3. 400

4. None of these.

Ans : B

1. 3500

2. 4000

3. 6000

4. None of these

Ans : B

1. 120 and 210

2. 80 and 140

3. 180 and 300

4. 200 and 350

Ans : D

1. 162

2. 108

3. 72

4. None of these

Ans : A

1. 35

2. 30

3. 28

4. 42

Ans : C

1. 2:1

2. 5:1

3. 99:61

4. 227:133

Ans : D

1. Rs.400 and Rs.500

2. Rs.240 and Rs.300

3. Rs.320 and Rs.400

4. Rs.440 and Rs.550

Ans : A

1. 48

2. 135

3. 24

4. None of these

Ans : C

1. 8 men

2. 12 men

3. 2 men

4. 24 men

Ans : C

1. Rs.192

2. Rs.133

3. Rs.144

4. Rs.128

Ans : C

**44. What is the value of cot 15o + cot 75o + cot 135o - cosec 30o?**

1. 3

2. Infinity

3. 1

4. None of these

Ans : C

1. 30

2. 51.96

3. 47.32

4. 81.96

Ans : C

1. 13

2. 23

3. 37

4. 41

Ans : B

1. 3 minutes

2. 2 minutes

3. 2.4 minutes

4. 2 minutes 40 seconds

Ans : B

1. 20 ft

2. 25 ft

3. 750 ft

4. 900 ft

Ans : D

**49. If the sides of a triangle measure 72, 75 and 21, what is the measure of its in radius?**

1. 37.5

2. 24

3. 9

4. 15

Ans : C

1. 1 : 6

2. 1 : 5

3. 1 : 25

4. 1 : 125

Ans : B

**51. If each interior angle of a regular polygon is 150 degrees, then it is**

1. Octagon

2. Decagon

3. Dodecagon

4. Tetrahedron

Ans : C

1. 30

2. 20

3. 40

4. 35

Ans : A

1. 17 m

2. 31 m

3. 12 m

4. 24 m

Ans : D

1. 4%

2. 300%

3. 75%

4. 400%

Ans : B

1. 3r

2. 6r

3. r

4. 9r

Ans : B

**56. What is the circum radius of a triangle whose sides are 7, 24 and 25 respectively?**

1. 18

2. 12.5

3. 12

4. 14

Ans : B

**57. What is the measure of in radius of the triangle whose sides are 24, 7 and 25?**

1. 12.5

2. 3

3. 6

4. None of these

Ans : B

1. (s - b) (s - c) > s (s - a)

2. (s - a) (s - c) > s (s - b)

3. (s - a) (s - b) < s (s - c)

4. 4s (s - a) (s - b) (s - c) = bc

Ans : C

1. 10 sides

2. 8 sides

3. 12 sides

4. 9 sides

Ans : A

**60. What is the measure of the circum radius of a triangle whose sides are 9, 40 and 41?**

1. 6

2. 4

3. 24.5

4. 20.5

Ans : D

1. units

2. units

3. units

4. units

Ans : B

**62. Which of the following is inCorrect?**

1. An incentre is a point where the angle bisectors meet.

2. The median of any side of a triangle bisects the side at right angle.

3. The point at which the three altitudes of a triangle meet is the orthocentre

4. The point at which the three perpendicular bisectors meet is the centre of the circumcircle.

Ans : B

1. lw/3

2. (2lw)/3

3. (3lw)/4

4. (lw)/2

Ans : D

1. 6

2. 8

3. 12

4. 3

Ans : C

1. 30 ft

2. 33 ft

3. 10 ft

4. 29 ft

Ans : D

**66. Find the area of the triangle whose verticals are (-6, -2), (-4, -6), (-2, 5).**

1. 36

2. 18

3. 15

4. 30

Ans : C

1. 77 sq.cm

2. 38.5 sq.cm

3. 35 sq.cm

4. 70 sq.cm

Ans : B

**68. Find the equation of a line whose intercepts are twice of the line 3x - 2y - 12 = 0**

1. 3x - 2y = 24

2. 2x - 3y = 12

3. 2x - 3y = 24

4. None of these

Ans : A

**69. Find the number of triangles in an octagon.**

1. 326

2. 120

3. 56

4. Cannot be determined

Ans : C

1. (6, 0)

2. (6, 3)

3. (0, 6)

4. (3, 6)

Ans : A

1. 2088

2. 2000

3. 3087

4. None of these

Ans : C

1. 8 years

2. 64 years

3. 72 years

4. 56 years

Ans : D

1. 25 years

2. 40 years

3. 33 years and 4 months

4. Cannot be determined

Ans : A

1. Rs.40,000

2. Rs.40,000

3. Rs.12,000

4. Rs.20,000

Ans : B

1. 9000

2. 6250

3. 8530.80

4. 8780.80

Ans : D

1. 5624.32

2. 5630.50

3. 5788.125

4. 5627.20

Ans : A

1. 6000

2. 6400

3. 7200

4. 9600

Ans : B

1. 9 years

2. 22 years

3. 18 years

4. 33 years

Ans : B

1. 2400

2. 2592

3. 2678

4. 2540

Ans : B

1. Rs. 17.5 lakhs

2. Rs. 21 lakhs

3. Rs. 15 lakhs

4. Rs. 20 lakhs

Ans : B

1. 1044

2. 2088

3. 720

4. 324

Ans : B

1. 8

2. 6

3. 2

4. 4

Ans : C

1. 13.5

2. 14

3. 15

4. 12.5

Ans : D

1. 11

2. 12

3. 11.5

4. 12.5

Ans : C

1. 60 kgs

2. 61 kgs

3. 37 kgs

4. None of these

Ans : B

1. 81

2. 81.5

3. 82

4. 84.5

Ans : B

1. 57 kgs

2. 56.8 kgs

3. 58.2 kgs

4. 52.2 kgs

Ans : A

1. 24

2. 26

3. 23

4. 22

Ans : A

1. 240

2. 210

3. 270

4. 300

Ans : D

1. 6.5

2. 4

3. 3

4. 3.5

Ans : C

1. 83

2. 92

3. 90

4. 97

Ans : D

1. 3 :√2

2. √5:1

3. 4√3:3

4. 2√2:1

5. 8:√5

Ans : D

1. 9

2. 12

3. 16

4. 21

5. 39

Ans : B

1. (3, 3/2)

2. (1, 2/2)

3. (0, -4)

4. (2/2, 1)

5. (-1, -2/2)

Ans : C

1. 50

2. 100

3. 200

4. 300

5. 400

Ans : D

1. 38

2. 40

3. 44

4. 48

5. 50

Ans : C

**97. If r = (3p + q)/2 and s = p - q, for which of the following values of p would r2 = s2?**

1. 1q/5

2. 10 - 3q/2

3. q - 1

4. 3q

5. 9q/2 - 9

Ans : A

1. 4

2. 4.5

3. 5

4. 5.5

5. 6

Ans : E

1. $160

2. $320

3. $400

4. $720

5. $1,600

Ans : B

**100. If .2t = 2.2 - .6s and .5s = .2t + 1.1, then s =?**

1. 1

2. 3

3. 10

4. 11

5. 30

Ans : B

**101. What is the greatest value of a positive integer n such that 3n is a factor of 1815?**

1. 15

2. 18

3. 30

4. 33

5. 45

Ans : C

1. 12

2. 16

3. 20

4. 24

5. 30

Ans : C

1. xyz

2. (x - y) (y - z)

3. x - yz

4. x(y + z)

5. x + y + z

Ans : B

1. ft/b

2. fb/t

3. b/ft

4. tb/f

5. t/fb

Ans : A

1. 4

2. 8

3. 12

4. 16

5. 20

Ans : D

1. 5 minutes

2. 10 minutes

3. 15 minutes

4. 20 minutes

5. None of the above

Ans : C

**107. Which of the following is the greatest?**

1. 40% of 30

2. 3/5 of 25

3. 6.5% of 200

4. Five more than the square of 3

5. 1/2-4

Ans : E

**108. If the area of two circles are in the ratio 169 : 196 then the ratio of their radii is**

1. 10 : 11

2. 11 : 12

3. 12 : 13

4. 13 : 14

5. None of the above

Ans : 4

**109. (1/4)3 + (3/4)3 + 3(1/4)(3/4)(1/4 + 3/4) =?**

1. 1/64

2. 27/64

3. 49/64

4. 0

5. 1

Ans : 5

1. 36

2. 42

3. 45

4. 48

5. None of the above

Ans : 3

**111. If 3/p = 6 and 3/q = 15 then p - q = ?**

1. 1/3

2. 2/5

3. 3/10

4. 5/6

5. None of the above

Ans : 3

1. 120

2. 200

3. 60

4. 24

5. 36

Ans : 5

**113. If the radius of a circle is increased by 20% then the area is increased by :**

1. 44%

2. 120%

3. 144%

4. 40%

5. None of the above

Ans : 1

1. 10 kg

2. 10.5 kg

3. 11 kg

4. 11.5 kg

5. None of the above

Ans : 4

1. 375 kms

2. 3750 kms

3. 1500 kms

4. 1375 kms

5. None of the above

Ans : 3

1. 2.5 kms

2. 3.5 kms

3. 4.5 kms

4. 5.5 kms

5. None of the above

Ans : 3

1. 4

2. 144

3. 12

4. 2

5. None of the above.

Ans : 1