Class 09 PSA Quantitative Reasoning Test

Class 9 · PSA Quantitative Reasoning

This is online test for Class 09 PSA Quantitative Reasoning Test. There are 18 questions in this test with each question having around four answer choices.

Questions & Answers

1
In a school there are 120 students in class IX. In the physical education period 88 students play cricket, 65 students play hockey while some among them play both cricket and hockey. If one student is picked at random. If one student is picked at random find the probability that – He plays cricket.
  • A
    \(\frac{{11}}{{15}}\)
    Correct
  • B
    \(\frac{{11}}{{12}}\)
  • C
    \(\frac{7}{{11}}\)
  • D
    \(\frac{7}{{15}}\)
2
In a school there are 120 students in class IX. In the physical education period 88 students play cricket, 65 students play hockey while some among them play both cricket and hockey. If one student is picked at random. If one student is picked at random find the probability that – He plays hockey.
  • A
    \(\frac{{13}}{{30}}\)
  • B
    \(\frac{{13}}{{20}}\)
  • C
    \(\frac{{13}}{{24}}\)
    Correct
  • D
    \(\frac{{13}}{{21}}\)
3
In a school there are 120 students in class IX. In the physical education period 88 students play cricket, 65 students play hockey while some among them play both cricket and hockey. If one student is picked at random. If one student is picked at random find the probability that – He plays hockey as well as cricket.
  • A
    \(\frac{{11}}{{40}}\)
    Correct
  • B
    \(\frac{{12}}{{40}}\)
  • C
    \(\frac{{22}}{{40}}\)
  • D
    \(\frac{4}{{20}}\)
4
In a school there are 120 students in class IX. In the physical education period 88 students play cricket, 65 students play hockey while some among them play both cricket and hockey. If one student is picked at random. If one student is picked at random find the probability that – If one student is picked who plays cricket also plays hockey.
  • A
    \(\frac{3}{8}\)
    Correct
  • B
    \(\frac{2}{8}\)
  • C
    \(\frac{1}{8}\)
  • D
    \(\frac{5}{8}\)
5
In circle (O, r) AB is the chord and \(\angle ADB = {76^\circ }\). Find \(\angle AOB\)
Question 5 figure 1
  • A
    \({78^\circ }\)
  • B
    \({152^\circ }\)
    Correct
  • C
    \({67^\circ }\)
  • D
    \({87^\circ }\)
6
In the figure given below find the value of \(\angle POR\). (POQ being a straight line) is :
Question 6 figure 1
  • A
    \({35^\circ }\)
  • B
    \({30^\circ }\)
    Correct
  • C
    \({45^\circ }\)
  • D
    \({60^\circ }\)
7
In the figure given below AD, intersects the angle \(\angle BAC\) in the ratio 1:3 amd AD = DB. Find the value of x.
Question 7 figure 1
  • A
    54
  • B
    90
    Correct
  • C
    72
  • D
    108
8
ABCD is a square. Find the coordinates of points Aand C.
Question 8 figure 1
  • A
    A(2, 2) C (3, –3)
  • B
    A(–1, 3) C (2, –2)
    Correct
  • C
    A(1, 3) C (2, 2)
  • D
    A(1, –2) C (2, –2)
9
Find the area of the given figure.
Question 9 figure 1
  • A
    \(58f{t^2}\)
  • B
    \(78f{t^2}\)
  • C
    \(56f{t^2}\)
    Correct
  • D
    \(63f{t^2}\)
10
In the given velocity time graph, which part represents retardation:
Question 10 figure 1
  • A
    CD
  • B
    BC
  • C
    OA
  • D
    AB
    Correct
11
While going to his school, a boy starts from A, takes the path AB, BC, CD, DB and reaches B as shown in the figure. The total distance covered and the displacement of the boy would respectively be :
Question 11 figure 1
  • A
    5 km, 16 km
  • B
    9 km, 5 km
  • C
    16 km, 5 km
    Correct
  • D
    16 km, 6 km
12
The distance time graph for the motion of two friends Vijay and Sameer is given below which of the following statement is true?
Question 12 figure 1
  • A
    both Vijay and Sameer are moving at the same speed
  • B
    it is not possible to find out the relative speed of Vijay and Sameer
  • C
    Vijay is moving faster
  • D
    Sameer is moving faster
    Correct
13
In the given figure if \(\angle BAC = {72^\circ }andAB = AC,\angle ACD = ?\)
Question 13 figure 1
  • A
    \({126^\circ }\)
    Correct
  • B
    \({136^\circ }\)
  • C
    \({108^\circ }\)
  • D
    \({54^\circ }\)
14
Two circular cylinders of equal volume have heights in the ratio 1:2 ratio of their radii is:
  • A
    \(1:\sqrt 2 \)
  • B
    1:2
  • C
    \(\sqrt 2 :1\)
    Correct
  • D
    1:4
15
If the diameter of the base of a right circular cylinder is equal to its height h then its total surface area is:
  • A
    \(\pi {h^2}\)
  • B
    \(\frac{3}{2}\pi {h^2}\)
    Correct
  • C
    \(\frac{4}{3}\pi {h^2}\)
  • D
    \(2\pi {h^2}\)
16
In the above distance time graph which among the fours travelling the fastest speed:
Question 16 figure 1
  • A
    D
  • B
    C
  • C
    B
    Correct
  • D
    A
17
If \(DC\parallel AB\) the values of x and y are:
Question 17 figure 1
  • A
    \(\left( {{{45}^\circ },{{25}^\circ }} \right)\)
  • B
    \(\left( {{{25}^\circ },{{65}^\circ }} \right)\)
    Correct
  • C
    \(\left( {{{45}^\circ },{{30}^\circ }} \right)\)
  • D
    \(\left( {{{30}^\circ },{{45}^\circ }} \right)\)
18
What type of quadrilateral ABCD is if \(\angle AOB = {90^\circ }\)?
Question 18 figure 1
  • A
    rhombus
    Correct
  • B
    all of them
  • C
    parallelogram
  • D
    rectangle