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?


- A1.45
- B0.50 mCorrect
- C1.20 m
- D1.00 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?


- Athe TME remains constant during the cart's motion along the incline planeCorrect
- Bthe TME increases as the cart rolls upward decreases as it rulls down.
- Cthe TME decreases as the cart rolls upward decreases as it rolls down.
- Dthe 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:


- Athe K.E. increases and P.E. decreasesCorrect
- Bboth the K.E. and P.E. increases
- Cboth the K.E. and P.E. decreases
- Dthe 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.?


- A50 cm
- B30 cm
- C150 cmCorrect
- D90 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
- A101,140,150
- B102,136,153Correct
- C136,102,153
- D195,120,76
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:
- A38
- B32
- C36Correct
- D40
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\(\frac{4}{{17}}\)
- B0
- 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:
- A306
- B270
- C630
- D360Correct
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:
- A0 N
- Bequal to 500 N
- Cmore than 500 NCorrect
- Dless than 500 N
17
The diagonals of a rhombus are 18 cm and 24 cm one of its side is:
- A15 cmCorrect
- B14 cm
- C16 cm
- D17 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\(4\sqrt {3cm} \)