NTSE SAT Mathematics Papers 19

NTSE SAT Mathematics Papers 19

This is NTSE SAT Mathematics Papers 19 .. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
If the vertices of a triangle are (1, 2), (4, -6) and (3, 5) then
  • A
    none of these
  • B
    the area of triangle is 12.5 sq. units
    Correct
  • C
    the points do not form a triangle
  • D
    triangle is right angled
2
In \(\Delta ABC\), E divides AB in the ratio 3:1 and F divides BC in the ration 3:2, then the ratio of areas of \(\Delta BEF\)and \(\Delta ABC\)is
  • A
    it is 3:10
  • B
    it is 1:5
  • C
    it is 3:20
    Correct
  • D
    it is 3:5
3
The sum of the areas of two circles which touch each other externally is \(153\pi \,sq.\,units\). If the sum of their radii is 15 units, then the ratio of large radius to the smaller radius is equal to
  • A
    none of these
  • B
    3
  • C
    2
  • D
    4
    Correct
4
ABCD is a rectangle such that AC + AB = 5 AD and AC
  • A
    36 sq. units
  • B
    50 sq. units
  • C
    cannot be found
  • D
    60 sq. units
    Correct
5
Water flows at the rate of 10 metres per minute from a cylindrical pipe 5 mm. in diameter. The time taken to fill up a conical vessel, whose diameter at the base is 40 cm and depth 24 cm, is
  • A
    48 minutes 15 sec
  • B
    52 minutes 1 sec
    Correct
  • C
    55 minutes
  • D
    51 minutes 12 sec
6
If a right circular cone, with slant height l , and a right circular cylinder have the same radius r, same total surface area and heights h and \(h'\)respectively, then \(\sqrt {\frac{{l - r}}{{l + r}}} = \)
  • A
    h/h
  • B
    h/2h
  • C
    2h
    Correct
  • D
    2h/h
7
\(\Delta ABC\)has vertices A(-4, 1), B(2, -1) and C (1, k). The number of possible values for k such that the triangle is isosceles is
  • A
    4
  • B
    1
  • C
    3
  • D
    5
    Correct
8
In a class of boys and girls, an student is chosen at random. If the probability that a boy is chosen is \(\frac{2}{3}\)of the probability that a girl is chosen, the ratio of the number of boys to the total number of students is the class is
  • A
    It is 2:3
  • B
    It is 3:5
  • C
    It is 1:3
  • D
    It is 2:5
    Correct
9
In the figure, DB is a diagonal of rectangle ABCD and line l through A and line m through C divide DB in three equal parts each of length 1 cm and are perpendicular to DB area (in \(c{m^2}\)) of rectangle ABCD is
Question 9 figure 1
  • A
    \(3\sqrt 2 \)
  • B
    \(2\sqrt 2 \)
  • C
    \(2\sqrt 3 \)
    Correct
  • D
    \(3\sqrt 3 \)
10
One of the factor of \({x^6} + 10{x^3} - 27\)is
  • A
    \({x^2} - x + 3\)
  • B
    \({x^2} + x - 3\)
    Correct
  • C
    \({x^2} + x + 3\)
  • D
    \({x^2} - x - 3\)
11
If the arithmetic mean of 9 observations is 100 and that of 6 observations is 80, then the combined mean of all the 15 observations will be
  • A
    90
  • B
    80
  • C
    92
    Correct
  • D
    100
12
On 13 consecutive days the number of person booked for violating speed limit of 40 km/hr. were as follows59, 52, 58, 61, 68, 57, 62, 50, 55, 62, 53, 54, 51The median number of speed violations per day is
  • A
    55
  • B
    52
  • C
    57
    Correct
  • D
    61
13
Which of the following is correct for the given data -1, 0, 1, 2, 3, 5, 5, 6, 8, 10, 11, ?
  • A
    mean = 5
  • B
    mode = median
    Correct
  • C
    mean = mode
  • D
    mean = mode = median
14
In a given fraction if the numerator is multiplied by 3 and the denominator is subtracted by 3, the fraction becomes \(\frac{{18}}{{11}}\)and if the numerator is increased by 8 and the denominator doubled the fraction becomes \(\frac{2}{5}\). The sum of the numerator and the denominator of the given fraction is
  • A
    27
  • B
    33
  • C
    37
    Correct
  • D
    42
15
Two fair dice are thrown together. The probability that the number 5 does not appear on any of them is
  • A
    \(\frac{{11}}{{36}}\)
  • B
    \(\frac{5}{{36}}\)
  • C
    \(\frac{1}{{36}}\)
  • D
    \(\frac{{25}}{{36}}\)
    Correct