NTSE SAT Mathematics Papers 15

NTSE SAT Mathematics Papers 15

This is NTSE SAT Mathematics Papers 15 .. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
If an arithmetic progression sum of first n terms is \(2{n^2} + 3n\). Its common difference is-
  • A
    2
  • B
    6
  • C
    4
    Correct
  • D
    3
2
The area of three adjoining faces of cuboid are A, B and C respectively then its volume will be
  • A
    ABC
  • B
    None of these
  • C
    \({A^2}{B^2}{C^2}\)
  • D
    \(\sqrt {ABC} \)
    Correct
3
If the radius of circle is \(\pi \), then its area will be-
  • A
    \(3\pi \)
  • B
    \({\pi ^2}\)
  • C
    \({\pi ^3}\)
    Correct
  • D
    \(\pi \)
4
If the co-ordinate of any circle are (3,4) and the co-ordinate of one ends of its diameter are (5,3) then co-ordinate of other ends of diameter are-
  • A
    (1, 4)
  • B
    (4, 1)
  • C
    (1, 5)
    Correct
  • D
    (5, 1)
5
The value of \({\cos ^2}26 + \cos 64\sin 26 + \frac{{\tan 36}}{{\cot 54}}\)
  • A
    None of these
  • B
    1
  • C
    0
  • D
    2
    Correct
6
\(\sqrt[3]{{64}} = ?\)
  • A
    4
    Correct
  • B
    6
  • C
    8
  • D
    2
7
The additive inverse of \(\frac{{2x - 3}}{{3x + 5}}\)is
  • A
    \(\frac{{3x + 5}}{{2x - 3}}\)
  • B
    \(\frac{{2x - 3}}{{ - 3x - 5}}\)
  • C
    \(\frac{{3 - 2x}}{{3x + 5}}\)
    Correct
  • D
    \(\frac{{3 - 2x}}{{ - 3x - 5}}\)
8
In below figure, \(\Delta ABC\)is a right angle triangle in which \(\angle B = 90\)and BC=6 cm and AB = 8 cm. Then radius of in-circle will be-
Question 8 figure 1
  • A
    2 cm
    Correct
  • B
    4 cm
  • C
    3 cm
  • D
    5 cm
9
In below figure \(PQ\parallel BC\)and AP : PB = 1:2. Then the ratio of area of \(\Delta APQ\)and \(\Delta ABC\)will be-
Question 9 figure 1
  • A
    It is 1:4
  • B
    It is 1:2
  • C
    It is 1:9
    Correct
  • D
    It is 4:1
10
In the below figure AB is a diameter of circle and AT is tangent line then value of x will be-
Question 10 figure 1
  • A
    \(50^\circ \)
  • B
    \(90^\circ \)
  • C
    \(65^\circ \)
    Correct
  • D
    \(45^\circ \)
11
Of the following four number the largest is:
  • A
    \({\left( {31} \right)^{84}}\)
  • B
    \({3^{210}}\)
  • C
    \({7^{140}}\)
  • D
    \({\left( {17} \right)^{105}}\)
    Correct
12
The sum of 18 consecutive natural number is a perfect square. The smallest possible value of this sum is
  • A
    144
  • B
    169
  • C
    225
    Correct
  • D
    289
13
The sum\(\frac{1}{{1 + {1^2} + {1^4}}} + \frac{2}{{1 + {2^2} + {2^4}}} + \frac{3}{{1 + {3^2} + {3^4}}} + ............ + \frac{{99}}{{1 + {{99}^2} + {{99}^4}}}\)lies between
  • A
    0.48 and 0.49
  • B
    0.49 and 0.50
    Correct
  • C
    0.46 and 0.47
  • D
    0.47 and 0.48
14
If \({x^2} - x - 1 = 0\), then the value of \({x^3} - 2x + 1\)is
  • A
    2
    Correct
  • B
    \(\frac{{1 + \sqrt 5 }}{2}\)
  • C
    0
  • D
    \(\frac{{1 - \sqrt 5 }}{2}\)
15
If x and y are two positive real numbers such that their sum is one, then the maximum value of \({x^4}y + x{y^4}\)is
  • A
    \(\frac{1}{{16}}\)
    Correct
  • B
    \(\frac{1}{{12}}\)
  • C
    \(\frac{1}{8}\)
  • D
    \(\frac{1}{6}\)