Q421. If (())) ((()) 5 5 1 2 log 13 / 2 log 9 2 1 27 − = K then K is equal to
A 3/ 2 3/16 3 9 − ×
B 3/ 2 7/16 3 13 − ×
C 3/ 2 5/16 3 13 − ×
D 3/ 2 3/16 3 13 − ×
Show answer
Correct answer: 3/ 2 3/16 3 13 − ×
Q422. If (())) ((())) ((()) 2 2 Px q 1 3 2x 3 2x 3 2x 3 + = + − − − Then:
A p=2, q=0
B p=0, q=0
C p=2, q=1
D q=0, p =1
Show answer
Correct answer: p=2, q=0
English Rajasthan TGT 2016
Q423. If each edge of a cube is increased by 50%, then increase in its surface area will be
A 50%
B 75%
C 100%
D 125%
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Correct answer: 125%
English Rajasthan TGT 2016
Q424. Which of the following statements are correct? A. The sum and difference of any two irrational numbers need not be irrational. B. Product of any two irrational numbers is irrational. C. For any two distinct irrational numbers a and b, the number a b is irrational.
A A,B and C
B A and B only
C B and C only
D Only A
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Correct answer: Only A
English Rajasthan TGT 2016
Q425. Sum of an integer and its square is
A always an odd number
B always an even number
C always prime number
D None of these
Show answer
Correct answer: always an even number
English Rajasthan TGT 2016
Q426. The number 1452 1872 is
A Natural number
B Integer
C Rational number
D Irrational number
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Correct answer: Irrational number
English Rajasthan TGT 2016
Q427. The digit in the unit position of the integer 1! 2! 3!..... 99! + + + + + + + + + + + + + + + + is
A 7
B 3
C 1
D 0
Show answer
Correct answer: 3
English Rajasthan TGT 2016
Q428. The value of (256)0.16.(16)0.18 is
A 4
B 16
C 64
D 128
Show answer
Correct answer: 4
English Rajasthan TGT 2016
Q429. The number of integers n(>1), such that n, n+2, n+4 are all prime numbers, is/ (>1)
A more than two, but finite
B infinite
C two
D one
Show answer
Correct answer: one
English Rajasthan TGT 2016
Q430. The remainder, when 5928 is divided by 7 is
A 6
B 4
C 2
D 1
Show answer
Correct answer: 4
English Rajasthan TGT 2016
Q431. In given figure, if AC=BD then
A AB = BC
B AC = CD
C AB = CD
D BC = CD
Show answer
Correct answer: AB = CD
English Rajasthan TGT 2016
Q432. In the given figure AB || CD|| EF and GH||KL, then value of θ is
A 850
B 1450
C 1200
D 1550
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Correct answer: 1450
English Rajasthan TGT 2016
Q433. The point of concurrency of medians of a triangle is known as
A Incentre
B Circumcentre
C Orthocentre
D Centroid
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Correct answer: Centroid
English Rajasthan TGT 2016
Q434. The area of a triangle with two sides 8cm and 11 cm and perimeter 32 cm, is equal to
A 8sq. cm.
B 30 sq. cm.
C 8 30 sq. cm.
D 30 8 sq. cm.
Show answer
Correct answer: 8 30 sq. cm.
English Rajasthan TGT 2016
Q435. In the given figure, O is the centre of the circle. If chord BC is extended up to P, then ∠ ∠ ∠DCP is equal to
A 600
B 700
C 800
D 1100
Show answer
Correct answer: 700
English Rajasthan TGT 2016
Q436. If the area of an isosceles right angled triangle is 8sq.cm., then its perimeter is equal to
A () 8 2 cm +
B () 8 4 2 cm +
C () 4 8 2 cm +
D −( )/8 4 2 cm
Show answer
Correct answer: () 8 4 2 cm +
English Rajasthan TGT 2016
Q437. If in a triangle, the radius of the circumcircle is double the radius of the inscribed circle, then the triangle is
A equilateral
B isosceles
C right angled
D None of these
Show answer
Correct answer: equilateral
English Rajasthan TGT 2016
Q438. The area of a circle is halved when its radius is decreased by 'n', then radius of circle is
A n 2 2 1 − unit
B n 2 1 − unit
C 2n 2 1 − unit
D n 2 2 1 + unit
Show answer
Correct answer: n 2 2 1 − unit
English Rajasthan TGT 2011
Q439. If the product of n positive numbers is 1, then the sum of these numbers will never be less than
A 1
B n
C n2
D n/2
Show answer
Correct answer: n
English Rajasthan TGT 2011
Q440. The standard deviation of first n natural numbers is
A 2 n 1 12 +
B 2 n 1 12 −
C 2 n 1 12 +
D 2 n 1 12 −
Show answer
Correct answer: 2 n 1 12 −