# Up Assistant Teacher 2018 General Questions and Answers doorsteptutor.com Part 2

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77. The position x of a particle moving along a straight-line path varies with time according to the relation , where x is in meter, t is in second. The initial velocity of the particle is

A. 6 m/s

B. -5 m/s

C. 5 m/s

D. -6 m/s

79. The volume of at NTP will be

A. 22.4 L

B. 2.24 L

C. 224 L

D. 44.8 L

81. For what value of b, the inequality is correct?

A.

B.

C.

D. None of the above

82. In the adjoining figure, if , then the area of the rectangle ABCD is

A. 36 sq. unit

B. 50 sq. unit

C. 60 sq. unit

D. 82 sq. unit

83. If the heights of two cones are in the ratio 1: 4 and their diameters are in the ratio 4: 5, then what is the ratio of their volumes?

A. 4: 25

B. 1: 16

C. 1: 25

D. 16: 25

85. If , then what is the value of ?

A. 5.9994

B. 5.4554

C. 5.4545

D. 5.9449

86. The sum of three numbers is 98, If the ratio between the first and second be 2: 3 and that between the second and third be 5: 8, then find the second number.

A. 10

B. 20

C. 30

D. 40

89. The value of is

A. 103003001

B. 100303001

C. 1003003001

D. 1003000301

90. If 120 is 20 % of a number, then 120 % of that number will be

A. 20

B. 120

C. 480

D. 720

91. Which one of the following is the smallest fraction?

A.

B.

C.

D.

92. The length of a rectangle is increased by 25 % . By what percent of the breath to be decreased to maintain the same area?

A. 15 %

B. 20 %

C. 21.5 %

D. 23.4 %