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
There are two forms of mechanical energy in an object – kinetic energy and potential energy. Kinetic energy is associated with an object’s motion, while potential energy is the stored energy in an object as a result of its vertical position i.e. height. The total amount of mechanical energy is the sum of these two forms of energy. A group of students are studying the relationship between the Potential Energy (PE), Kinetic Energy (KE) and total mechanical energy (TME) for a cart rolling down and up on the incline plane. The four different locations of the cart in (cm) are given below in fig 1 and energy values of the cart in fig 2. On the basis of these observations answer the following questions. Fig. 1 (Four locations of the cart) Fig. 2 (Energy values of cart (in Joule) At which position, the potential energy is minimum?
Question 1 figure 1Question 1 figure 2
  • A
    1.45
  • B
    0.50 m
    Correct
  • C
    1.20 m
  • D
    1.00 m
2
There are two forms of mechanical energy in an object – kinetic energy and potential energy. Kinetic energy is associated with an object’s motion, while potential energy is the stored energy in an object as a result of its vertical position i.e. height. The total amount of mechanical energy is the sum of these two forms of energy. A group of students are studying the relationship between the Potential Energy (PE), Kinetic Energy (KE) and total mechanical energy (TME) for a cart rolling down and up on the incline plane. The four different locations of the cart in (cm) are given below in fig 1 and energy values of the cart in fig 2. On the basis of these observations answer the following questions. Fig. 1 (Four locations of the cart) Fig. 2 (Energy values of cart (in Joule) Which conclusion regarding the total mechanical energy (TME) of the cart is right with the data values?
Question 2 figure 1Question 2 figure 2
  • A
    the TME remains constant during the cart's motion along the incline plane
    Correct
  • B
    the TME increases as the cart rolls upward decreases as it rulls down.
  • C
    the TME decreases as the cart rolls upward decreases as it rolls down.
  • D
    the TME decreases as the cart rolls upward and increases as it rolls down.
3
There are two forms of mechanical energy in an object – kinetic energy and potential energy. Kinetic energy is associated with an object’s motion, while potential energy is the stored energy in an object as a result of its vertical position i.e. height. The total amount of mechanical energy is the sum of these two forms of energy. A group of students are studying the relationship between the Potential Energy (PE), Kinetic Energy (KE) and total mechanical energy (TME) for a cart rolling down and up on the incline plane. The four different locations of the cart in (cm) are given below in fig 1 and energy values of the cart in fig 2. On the basis of these observations answer the following questions. Fig. 1 (Four locations of the cart) Fig. 2 (Energy values of cart (in Joule) During motion of cart from location C to D:
Question 3 figure 1Question 3 figure 2
  • A
    the K.E. increases and P.E. decreases
    Correct
  • B
    both the K.E. and P.E. increases
  • C
    both the K.E. and P.E. decreases
  • D
    the K.E. decrease and P.E. increase
4
There are two forms of mechanical energy in an object – kinetic energy and potential energy. Kinetic energy is associated with an object’s motion, while potential energy is the stored energy in an object as a result of its vertical position i.e. height. The total amount of mechanical energy is the sum of these two forms of energy. A group of students are studying the relationship between the Potential Energy (PE), Kinetic Energy (KE) and total mechanical energy (TME) for a cart rolling down and up on the incline plane. The four different locations of the cart in (cm) are given below in fig 1 and energy values of the cart in fig 2. On the basis of these observations answer the following questions. Fig. 1 (Four locations of the cart) Fig. 2 (Energy values of cart (in Joule) For which of the following positions along the track does the cart have the smallest K.E.?
Question 4 figure 1Question 4 figure 2
  • A
    50 cm
  • B
    30 cm
  • C
    150 cm
    Correct
  • D
    90 cm
5
Four friends Manan, Chandan, Sanam, Naman are standing at one unit distance away from the origin in cartesian plane such that their co-ordinates are (1, 0), (–1, 0), (0, 1), (0, –1) respectively. Manan and Chandan are facing each other while Sanam and Naman are facing each other. All the four friends moved three units distance on their right reached at new points. Now answer the following questions on the basis of above passage: Now what are the co-ordinates on which Manan is standing?
  • A
    (3,-1)
  • B
    (-1,3)
  • C
    (-3,1)
  • D
    (1,3)
    Correct
6
Four friends Manan, Chandan, Sanam, Naman are standing at one unit distance away from the origin in cartesian plane such that their co-ordinates are (1, 0), (–1, 0), (0, 1), (0, –1) respectively. Manan and Chandan are facing each other while Sanam and Naman are facing each other. All the four friends moved three units distance on their right reached at new points. Now answer the following questions on the basis of above passage: Now what are the co-ordinates on which Chandan is standing?
  • A
    (-3,1)
  • B
    (1,-3)
  • C
    (3,-1)
  • D
    (-1,-3)
    Correct
7
Four friends Manan, Chandan, Sanam, Naman are standing at one unit distance away from the origin in cartesian plane such that their co-ordinates are (1, 0), (–1, 0), (0, 1), (0, –1) respectively. Manan and Chandan are facing each other while Sanam and Naman are facing each other. All the four friends moved three units distance on their right reached at new points. Now answer the following questions on the basis of above passage: Now, what are the co-ordinates on which Sanam is standing?
  • A
    (1,3)
  • B
    (-3,1)
    Correct
  • C
    (3,1)
  • D
    (-1,-3)
8
Four friends Manan, Chandan, Sanam, Naman are standing at one unit distance away from the origin in cartesian plane such that their co-ordinates are (1, 0), (–1, 0), (0, 1), (0, –1) respectively. Manan and Chandan are facing each other while Sanam and Naman are facing each other. All the four friends moved three units distance on their right reached at new points. Now answer the following questions on the basis of above passage: Now, what are the co-ordinates on which Naman is standing?
  • A
    (3,-1)
    Correct
  • B
    (-3,-1)
  • C
    (1,3)
  • D
    (-1,-3)
9
Divide Rs. 391 into three parts which are proportional to the ratios 6 : 8 : 9
  • A
    101,140,150
  • B
    102,136,153
    Correct
  • C
    136,102,153
  • D
    195,120,76
10
Three items of a sample are in the ratio of 1:2:3. The mean of third and second item is 30. The third item is:
  • A
    38
  • B
    32
  • C
    36
    Correct
  • D
    40
11
A bag contains 7 red balls 6 green balls 4 black balls. A ball is drawn randomly from this bag. What is the probability of the drawn ball is to be white ball?
  • A
    \(\frac{4}{{17}}\)
  • B
    0
  • C
    \(\frac{6}{{17}}\)
  • D
    \(\frac{7}{{17}}\)
Answer
Not Available
12
Two dice are tossed. The probability that the total score is a prime no. is:
  • A
    \(\frac{5}{{12}}\)
    Correct
  • B
    \(\frac{1}{2}\)
  • C
    \(\frac{7}{{10}}\)
  • D
    \(\frac{1}{6}\)
13
Radius ‘r’ of the base of cylinder and sphere are equal. The volume of both are equal, the height of cylinder is:
  • A
    \(\frac{4}{3}r\)
    Correct
  • B
    \(\frac{9}{{17}}r\)
  • C
    \(\frac{9}{{16}}r\)
  • D
    \(\frac{3}{4}r\)
14
Sum of the exterior angles of a Quadrilateral is:
  • A
    306
  • B
    270
  • C
    630
  • D
    360
    Correct
15
The commercial unit of energy (1 kwh) is equal to:
  • A
    \(3.6 \times {10^6}KJ\)
  • B
    \(306 \times {10^6}KJ\)
  • C
    \(3.6 \times {10^3}KJ\)
    Correct
  • D
    \(3.6 \times {10^8}KJ\)
16
The weight of a woman is 500 N at the equator. Her weight at the poles would be:
  • A
    0 N
  • B
    equal to 500 N
  • C
    more than 500 N
    Correct
  • D
    less than 500 N
17
The diagonals of a rhombus are 18 cm and 24 cm one of its side is:
  • A
    15 cm
    Correct
  • B
    14 cm
  • C
    16 cm
  • D
    17 cm
18
Find the area of equilateral triangle of side is 2 cm:
  • A
    \(\sqrt {3c{m^2}} \)
    Correct
  • B
    \(\frac{{\sqrt 3 }}{4}cm\)
  • C
    \(6c{m^2}\)
  • D
    \(4\sqrt {3cm} \)