Math Chapter Wise

EnglishOAVS TGT 2018

Q181.If both a and b are rational numbers, then the values of a and b in the following example: 2 3 a b 6 3 2 2 3

Aa 4and b 1 Ba 4and b 1 C5 a 2and b 6 D5 a 2and b 6

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EnglishOAVS TGT 2018

Q182.The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number are reversed, then the number is:

A72 B63 C36 D25

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EnglishOAVS TGT 2018

Q183.Re-state the following statement with an appropriate condition such that they become true: If 2 2 2 (x y) x y, then x 0

AThe statement is false. BIf 2 2 2 (x y) x y and y 0 then x 0. CIf 2 2 2/(x y) x y then x 0. DIf 2 2 2 (x y) x y then x, y 0.

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EnglishOAVS TGT 2018

Q184.Solve the following equations for x any y. x y 1 32 2 1 x 4- y 2 16 -8 = 0

Ax = 4 and y = 2 Bx = 4 and y = 3 Cx = 3 and y = 4 Dx = 2 and y = 4

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EnglishOAVS TGT 2018

Q185.If a,b,c,d∈R and a + b + c + d = 1, then what is minimum value of a2 + b2 + c2 + d2?

A1/4 B1/5 C1/2 D1/3

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EnglishOAVS TGT 2018

Q186.A pyramid is a solid figure, the base of which is:

Aonly a polygon Bonly a square Conly a triangle Donly a rectangle

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EnglishOAVS TGT 2018

Q187.A room is 6m long, 5 m broad and 3m height. The maximum length of a rod that can be kept in the room is:

A76m B77m C75m D70m

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EnglishOAVS TGT 2018

Q188.The area of a triangle formed by the pair of lines x – y = –2 and 4x – y = 4 and the x-axis is:

A6 sq. units B4 sq. units C5 sq. units D3 sq. units

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EnglishOAVS TGT 2018

Q189.Considering the cosine rule of any triangle ABC, which of the following options describes the possible measures of angle A?

AAngle A is acute. BAngle A is a right angle. CAll of the given options. DAngle A is obtuse.

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EnglishOAVS TGT 2018

Q190.Take any three consecutive even numbers and find their product. Make a conjecture about these products:

AAll of the given options. BThe product of any three consecutive even numbers is even. CThe product of any three consecutive even numbers is divisible by 4. DThe product of any three consecutive even numbers is divisible by 6.

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EnglishOAVS TGT 2018

Q191.If the graph of the equation 4x + 3y = 12 cuts the coordinate axes at A and B then the hypotenuse of the right triangle AOB is of the length of:

ANone of the given options B3 C4 D5

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EnglishOAVS TGT 2018

Q192.Which of the following are the boundaries of a surface?

APoints BSurfaces CLines DCurves

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EnglishJSSC PGT 2018

Q193.A block of concrete weights 100 kg in air and weights 60 kg when immersed in water. Then the average specific weight of the block is:

A3.2 ton/m3 B2.5 ton/m3 C2.2 ton/m3 D2.1 ton/m3

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EnglishJSSC PGT 2018

Q194.Express in decimal the value of 100001+110111.

A78 B87 C88 D80

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EnglishJSSC PGT 2018

Q195.In a take-away food joint with single service counter, the customers are served on a first- come-first-serve basis. The arrival rate of customers follows Poisson distribution, while the expected service time follows exponential distribution. If 2 customers arrive every 10 minutes and 18 customers are served per hour, what is the expected number of customers in the joint at any given time?

A2 B5 C9 D1

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EnglishJSSC PGT 2018

Q196.The binary equivalent of 57 is:

A101111 B111001 C111000 D101010

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EnglishJSSC PGT 2018

Q197.The metacentric height of a rectangular boat 6×6×12, a quarter portion of which is submerged in water, is:

A1.5 B3.5 C4.5 D2.5

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EnglishJSSC PGT 2018

Q198.For a tree with q lines, the number of vertices p equals:

A2q Bq Cq + 2 Dq + 1

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EnglishJSSC PGT 2018

Q199.A cone with height 32 cm and radius 4 cm is filled with water. How many semi-hemispheric bowls of radius 2 cm can be fully filled using this water?

A8 B64 C16 D32

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EnglishJSSC PGT 2018

Q200.The binary number 10101 is equivalent to the decimal number:

A12 B27 C19 D21

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