NTSE SAT Mathematics Papers 03

NTSE SAT Mathematics Papers 03

This is NTSE SAT Mathematics Papers 03 .. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
In the given figure, the values of x and y are ___________________
Question 1 figure 1
  • A
    \(x = 12^\circ ,\;y = 60^\circ \)
  • B
    None of these
    Correct
  • C
    \(x = 60^\circ ,\;y = 10^\circ \)
  • D
    \(x = 60^\circ ,\;y = 12^\circ \)
2
The value of \(\sin 12^\circ \cos 78^\circ + \cos 12^\circ \sin 78^\circ \)is __________________
  • A
    -1
  • B
    None of these
  • C
    0
  • D
    1
    Correct
3
Five years ago the sum of ages of the father and the son was 40 years. In present age of father is ________________
  • A
    30 years
  • B
    45 years
  • C
    42 years
  • D
    40 years
    Correct
4
The marks of 10 students in a certain subject in a class are 20, 19, 50, 48, 50, 36, 35, 50, 40, 40. The mean and mode are respectively as ______________
  • A
    35, 40
  • B
    50, 40
  • C
    40, 35
  • D
    None of these
    Correct
5
The sum of the squares of two consecutive natural numbers is 313. Then the number will be _____________
  • A
    12, -13
  • B
    12, 13
    Correct
  • C
    13, -12
  • D
    -12, -13
6
The sum of two numbers is 100 and one number is two less than twice the other number. Then the numbers are ________________
  • A
    46, 54
  • B
    24, 76
  • C
    44, 56
  • D
    34, 66
    Correct
7
(ab + bc + ca) can be expressed as ______________
  • A
    \(abc\left( {\frac{1}{a} + \frac{1}{b} + \frac{1}{c}} \right)\)
    Correct
  • B
    \(c\left( {\frac{1}{a} + \frac{1}{b}} \right)\)
  • C
    abc (a + b + c)
  • D
    ab (a + c)
8
If the L.C.M of two numbers is 2520 and H.C.F is 12. Its one number is 504, then the other number will be _______________
  • A
    65
  • B
    40
  • C
    60
    Correct
  • D
    50
9
The sum of first n natural numbers is _______________
  • A
    \(\frac{{n(n + 2)}}{2}\)
    Correct
  • B
    n + 1
  • C
    \(\frac{{n + 1}}{2}\)
  • D
    \(\frac{n}{2}\)
10
Calculate compound interest on Rs 2000 for 2 years at the rate 5 percent.
  • A
    2205
  • B
    205
    Correct
  • C
    200
  • D
    105
11
A copper rod of diameter 1 cm and length 8 cm is drawn into a wire of length 18 m of uniform thickness. The thickness of the wire is
  • A
    0.5 mm
  • B
    1/30 cm
  • C
    0.67 mm
    Correct
  • D
    0.7 cm
12
PQ is a chord of length 8 cm of a circle of radius 5 cm. the tangents at P and Q intersects at a point T. Then the length of TP is
  • A
    12 cm
    Correct
  • B
    \(\frac{{20}}{3}cm\)
  • C
    \(10\frac{2}{7}cm\)
  • D
    24.5 cm
13
The value of \(\sqrt {8 + 2\sqrt {8 + 2\sqrt {8 + 2\sqrt {8 + 2\sqrt 8 } } } } \)is
  • A
    10
  • B
    4
    Correct
  • C
    8
  • D
    6
14
The sum of the deviations of a set of n scores \({x_1},{x_2},........,{x_n}\)measured from 50 is -10 and when measured from 46 is 70. Then the mean is
  • A
    50
  • B
    49.5
    Correct
  • C
    48
  • D
    46
15
The ascending order of \(\sqrt 2 ,\sqrt[3]{4},\sqrt[4]{6}\)is
  • A
    \(\sqrt 2 ,\sqrt[3]{4},\sqrt[4]{6}\)
  • B
    \(\sqrt 2 ,\sqrt[4]{6},\sqrt[3]{4}\)
    Correct
  • C
    \(\sqrt[3]{4},\sqrt 2 ,\sqrt[4]{6}\)
  • D
    \(\sqrt[4]{6},\sqrt[3]{4},\sqrt 2 \)