NTSE Sample Questions 2016-17 : Tamil Nadu SAT (Stage-1)

101. When 10 x² + x – 23 is divided by (2x + 3), the reminder is:
(A) 1 (B) -2 (C) 2 (D) 0

102. If  α and β are the zeros of the polynomial 25 x² - 16, then α² + β² is:

104. Sum of the digits of two digit number is 9. The number obtained by interchanging the digits is 18 more than twice the original number. The original number is:
(A) 72 (B) 27 (C) 36 (D) 63

105. Which of the following are irrational numbers?

(A) (i), (ii) (B) (iii), (iv) (C) (i), (iii) (D) (iv), (iv)

106. For which value, point A(a, b) lies in the quadrant III:
(A) a > 0, b < 0 (B) a < 0, b < 0 (C) a > 0, b > 0 (D) a < 0, b > 0
107. If the LCM of 12 and 42 is (10 m + 4) then the value of ‘m’ is:
(A) 50 (B) 8 (C) 1/5 (D) 1

108. If the perimeter of protractor is 72 cm, then it’s radius is

 
(A) 7 cm (B) 21 cm (C) 14 cm (D) 3.5 cm

109. The degree of the polynomial (x + 1) (x² -x - x⁴ + 1) is:
(A) 2 (B) 3 (C) 4 (D) 5

110. Two right circular cones have same radii. Ratio of their slant height is 4: 3, then the ratio of their curved surface areas is:
(A) 16: 9 (B) 2: 3 (C) 4: 3 (D) 3: 4

111. AB and CD are two chords of a circle which intersect each other externally at p. if AB = 4 cm, BP = 5 cm , PD = 3 cm, then the length of CD is:
(A) 10 cm (B) 12 cm (C) 8 cm (D) 11 cm

112. The radii of two concentric circles are 7 cm and 14 cm are respectively. The area between the two sectors of the circles whose central angle 60° is:
(A) 154 sq. cm (B) 77 sq. cm (C) 308 sq. cm (D) 98 sq. cm

113. Arithmetic mean of 20 observations is 15. if each observation is multiplied by2/3 then the arithmetic mean of them is:
(A) 10 (B) 30 (C) 45 (D) 15

114. There are 6 defective items in a sample of 20 items. One items is drawn at random. The probability that it is a non – defective item is:
(A) 7/10 (B) 0 (C) 3/10 (D) 2/3

115. Segment of a quadrant of a circle has area equal to:

116. 

(A) 0 (B) 2 (C) 1 (D) -2

(A) 25 (B) 1 (C) 1/5 (D) -5

118. If x = a cos θ , y = sin θ , then x²+y² =
(A) 1 (B) a (C) 2 a (D)  2 2 a 

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