Q61. If x > |y| > z, quantity A is (x + y) and quantity B is |y| + z, then:
A the relationship cannot be determined from the information
B quantity A and quantity B both are equal
C quantity B is greater
D quantity A is greater
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Correct answer: the relationship cannot be determined from the information
Q62. If P, Q are the points of trisection of A(1, –2) and B (–5, 6), then PQ is:
A 10/3
B 10
C 5/2
D 5
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Correct answer: Discrepancy / answer not specified in source
Q63. Water is pouring into a cuboidal reservoir at the rate of 60 litres per minute. If the volume of the reservoir is 108 m3, then the number of hours it will take to fill the reservoir is:
A 36 hours
B 24 hours
C 30 hours
D 12 hours
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Correct answer: 30 hours
Q64. The income of P and Q are in the ratio 3: 2 and expenses are in the ratio 5: 3. If both save ` ` 200, then what is the income of P?
A ` 700
B ` 1,400
C ` 1,200
D ` 1,000
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Correct answer: ` 1,200
Q65. A rectangle has 15 cm as its length and 150 cm2 as its area. If the area is increased to 1 3 times the original area by increasing its length only, then the new perimeter is:
A 50 cm
B 70 cm
C 80 cm
D 60 cm
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Correct answer: 60 cm
Q66. The perimeter of a triangle is 30 cm and its area is 30 cm2. If the largest side measures 13 cm, then what is the length of the smallest side of the triangle?
A 4 cm
B 3 cm
C 6 cm
D 5 cm
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Correct answer: 5 cm
Q67. The area of an isosceles triangle in terms of hypotenuse h is:
A 2 h 6
B 2 h 3
C 2 h 2
D 2 h 4
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Correct answer: 2 h 4
Q68. Coordinates of the centroid of Triangle with vertices (0,0), (3a,0), (0, 3b)
A (a,
B Image/formula option B (see source)
C (a,–
D (–a,
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Correct answer: (a,
Q69. 1 hectare is equal to
A 100 m2
B 1,000 m2
C 10 m2
D 10,000 m2
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Correct answer: 10,000 m2
Q70. Volume (in cubic. cm) of a cylinder with base radius 7 cm and height 20 cm is
A 1,540
B 3,080
C 2,560
D 1,920
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Correct answer: 3,080
Q71. The largest integer that divides the product of any four consecutive integers is
A 4
B 6
C 12
D 24
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Correct answer: 24
English DSE TGT 2022 OAVS TGT 2019
Q72. The product of a rational number and an irrational number is
A Natural number
B Composite number
C Rational number
D Irrational number
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Correct answer: Irrational number
Q73. What is the sum of first 12 natural numbers?
A 78
B 156
C 13
D 75
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Correct answer: 78
Q74. Area of the circle with centre at (1,2) and passing through (4,6) is
A 5π sq unit
B 10π sq unit
C 15π sq unit
D 25π sq unit
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Correct answer: 25π sq unit
Q75. Area (in sq. cm) of a quadrant of a circle with circumference 22 cm is
A 77/8
B 77
C 88/7
D 88
Show answer
Correct answer: 77/8
Q76. What is the area of the major sector of a circle of radius 10 cm if the arc subtend an angle of 900
A 550/7
B 1650/7
C 220/7
D 124/7
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Correct answer: 1650/7
Q77. A number when divided by 3, 5 or 7 gives remainder 2. The number is
A 107
B 111
C 105
D 109
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Correct answer: 107
Q78. The number 2784936 is divisible by which one of the following numbers?
A 85
B 86
C 88
D 92
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Correct answer: 88
Q79. In a class of 70 students, 10 students failed and their average marks is 26. If the total marks obtained by the entire class is 3500, then the average marks of those who passed is
A 54
B 59
C 62
D 65
Show answer
Correct answer: 54
Q80. What is the area (in sq. cm) of a sector of a circle whose radius is 6 cm, if the sector makes an angle of 60º at the centre?
A 144
B 132
C 132/7
D 144/7
Show answer
Correct answer: 132/7