NTSE SAT Mathematics Papers 02

NTSE SAT Mathematics Papers 02

This is NTSE SAT Mathematics Papers 02 .. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
A chess-board contains 64 equal squares and the area of each square is \(6.25c{m^2}\)An inside border round the board is 2 cm. wide. The length of the chess-board is ................
  • A
    24 cm
    Correct
  • B
    16 cm
  • C
    12 cm
  • D
    8 cm
2
The value of log \(_{\sqrt {\sqrt 2 } }.\sqrt {2\sqrt {2\sqrt {2\sqrt {2\sqrt 2 } } } } \)is ..........................
  • A
    None
  • B
    \(\frac{{31}}{{32}}\)
  • C
    \(\frac{{31}}{8}\)
    Correct
  • D
    \(\frac{{31}}{4}\)
3
Equation of the line passing through (-1,2) and perpendicular to \(x - y + 2 = 0\)is ...................
  • A
    \(x - y = 1\)
  • B
    \(x + y = 2\)
  • C
    \(x - y + 1 = 0\)
  • D
    \(x + y = 1\)
    Correct
4
If \(A = \left[ {\mathop {}\limits_{ - 1}^2 \mathop {}\limits_2^{ - 1} } \right]\)and \({A^2} - 4A - nI = 0\) then ‘n’ is equal to ....................
  • A
    3
  • B
    \(\frac{{ - 1}}{3}\)
  • C
    \(\frac{1}{3}\)
  • D
    -3
    Correct
5
If \(A\left( { - 2,5} \right)\)and \(B\left( {3,2} \right)\)are the two points on a straight line. If \(\overline {AB} \) A extended to ‘C’ such that AC = 2BC, then the co-ordinates of ‘C’ are .............................
  • A
    \(\left( {8, - 1} \right)\)
    Correct
  • B
    \(\left( {\frac{1}{2},\frac{3}{2}} \right)\)
  • C
    \(\left( { - 1,8} \right)\)
  • D
    \(\left( {\frac{7}{2},\frac{1}{2}} \right)\)
6
Simple form of \(\frac{{\sqrt 5 - 2}}{{\sqrt 5 + 2}} + \frac{{\sqrt 5 + 2}}{{\sqrt 5 - 2}}\) is ______________
  • A
    \(9 + \sqrt 5 \)
  • B
    18
    Correct
  • C
    9
  • D
    \(18 + \sqrt 5 \)
7
If \(\sqrt b = 3a\), then \(\frac{{{a^2}}}{b}\)=?
  • A
    \(\frac{b}{{3a}}\)
  • B
    9
  • C
    \(\frac{{{a^2}}}{{3a}}\)
  • D
    \(\frac{1}{9}\)
    Correct
8
The total number of symmetry axis for a square is __________________
  • A
    1
  • B
    4
    Correct
  • C
    2
  • D
    3
9
Simple form of \(\frac{1}{{3 - \frac{1}{{2 - \frac{1}{7}}}}}\) is __________________
  • A
    \(\frac{{13}}{{32}}\)
    Correct
  • B
    \(\frac{{32}}{{13}}\)
  • C
    \(\frac{{13}}{7}\)
  • D
    \(\frac{7}{{13}}\)
10
Factors of polynomial \({x^2} + 15x - 3250\)will be _________________
  • A
    (x + 65)(x + 50)
    Correct
  • B
    (x – 50)(x + 35)
  • C
    (x – 50)(x – 35)
  • D
    (x – 65)(x + 50)
11
The value of the following is:\(\frac{{{{\left( {0.44} \right)}^2} + {{(0.06)}^2} + {{(0.024)}^2}}}{{{{(0.044)}^2} + {{(0.006)}^2} + {{(0.0024)}^2}}}\)
  • A
    1
  • B
    0.1
  • C
    100
    Correct
  • D
    0.01
12
The product of two number is 110 and the sum of their squares is 264, then the sum of these numbers will be ____________
  • A
    22
    Correct
  • B
    24
  • C
    28
  • D
    20
13
If two chords of a circle are equidistance from the centre of the circle, then they are _____________
  • A
    None of these
  • B
    Not equal to each other
  • C
    Intersect each other
  • D
    Equal to each other
    Correct
14
If A:B = 1:2, B:C = 3:4, C:D = 5:6, then value of A:D will be ______________
  • A
    \(\frac{8}{5}\)
  • B
    \(\frac{5}{{16}}\)
  • C
    \(\frac{5}{8}\)
  • D
    It is 5:16
    Correct
15
\(\sqrt {\frac{{1 - \sin \theta }}{{1 + \sin \theta }}} \)is equal to ______________
  • A
    \(\tan \theta - \sec \theta \)
  • B
    \(\cot \theta - \cos ec\theta \)
  • C
    \(\cos ec\theta - \cot \theta \)
  • D
    \(\sec \theta - \tan \theta \)
    Correct