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
Sound is a kind of energy and it needs a medium to travel as it is a kind of longitudinal wave. The speed of sound in different medium is different. Along with the nature of the medium temperature also affects the speed of the sound. At \({22^\circ }C\) speed of sound in some medium is given below: 1. Air – 346 m/.s 2. Water (Distilled) – 1498 m/s 3. Water (Sea) – 1531 m/s 4. Flint Glass – 3980 m/s 5. Steel – 5960 m/s Sound energy gets reflected through a suitable reflecting surface. An echo is a reflected sound which is heard separately. The sensation of sound persists in our brain for about 0.1sec. To hear the echo clearly at ${22^\circ }C$, the minimum distance between the source of sound and obstacle should be 17.2 m as the speed of sound in air at that temperature is 344 m/s. the speed of sound is more in sea water than in distilled water at the same temperature because of
  • A
    taste of sea water is different from distilled water
  • B
    density of sea water is more than distilled water
    Correct
  • C
    sea water can conduct electricity
  • D
    animals can survive in sea water
2
Sound is a kind of energy and it needs a medium to travel as it is a kind of longitudinal wave. The speed of sound in different medium is different. Along with the nature of the medium temperature also affects the speed of the sound. At \({22^\circ }C\) speed of sound in some medium is given below: 1. Air – 346 m/.s 2. Water (Distilled) – 1498 m/s 3. Water (Sea) – 1531 m/s 4. Flint Glass – 3980 m/s 5. Steel – 5960 m/s Sound energy gets reflected through a suitable reflecting surface. An echo is a reflected sound which is heard separately. The sensation of sound persists in our brain for about 0.1sec. To hear the echo clearly at ${22^\circ }C$, the minimum distance between the source of sound and obstacle should be 17.2 m as the speed of sound in air at that temperature is 344 m/s. An echo is returned in 3 sec. at \({22^\circ }C\) in a hall. What will be the distance of reflecting surface from the source.
  • A
    344 m
  • B
    258 m
  • C
    1032 m
  • D
    516 m
    Correct
3
Sound is a kind of energy and it needs a medium to travel as it is a kind of longitudinal wave. The speed of sound in different medium is different. Along with the nature of the medium temperature also affects the speed of the sound. At \({22^\circ }C\) speed of sound in some medium is given below: 1. Air – 346 m/.s 2. Water (Distilled) – 1498 m/s 3. Water (Sea) – 1531 m/s 4. Flint Glass – 3980 m/s 5. Steel – 5960 m/s Sound energy gets reflected through a suitable reflecting surface. An echo is a reflected sound which is heard separately. The sensation of sound persists in our brain for about 0.1sec. To hear the echo clearly at ${22^\circ }C$, the minimum distance between the source of sound and obstacle should be 17.2 m as the speed of sound in air at that temperature is 344 m/s. The speed of sound in space will be
  • A
    0 m/s
    Correct
  • B
    1498 m/s
  • C
    596 m/s
  • D
    332 m/s
4
Sound is a kind of energy and it needs a medium to travel as it is a kind of longitudinal wave. The speed of sound in different medium is different. Along with the nature of the medium temperature also affects the speed of the sound. At \({22^\circ }C\) speed of sound in some medium is given below: 1. Air – 346 m/.s 2. Water (Distilled) – 1498 m/s 3. Water (Sea) – 1531 m/s 4. Flint Glass – 3980 m/s 5. Steel – 5960 m/s Sound energy gets reflected through a suitable reflecting surface. An echo is a reflected sound which is heard separately. The sensation of sound persists in our brain for about 0.1sec. To hear the echo clearly at ${22^\circ }C$, the minimum distance between the source of sound and obstacle should be 17.2 m as the speed of sound in air at that temperature is 344 m/s. In the same medium the speed of sound
  • A
    increase with temperature
    Correct
  • B
    decrease with temperature
  • C
    first increase then decrease
  • D
    remain same
5
In everyday life, we see some objects at rest and others in motion. An object may appear to be moving for one person and stationary for some other. Most motions are complex. Some objects may move in a straight line, others may take a circular path. The simplest type of motion is the motion along a straight line. The shortest distance measured from the initial to the final position of an object is known as the displacement. If the object covers equal distance in equal intervals of time, it is said to be in uniform motion. During uniform motion of an object along a straight line, the velocity remainse constant with time. In this case, the change in velocity of the object for any time interval is zero. However, in non-uniform motion, velocity varies with time. Non-uniform motion is of two types – uniform acceleration and non-uniform acceleration. If a car travelling along a straight road increases its speed by unequal amount in equal intervals of time, the car is said to be moving with non-uniform acceleration whereas, if its speed increases or decreases by equal amount in equal interval of time, it is said to be moving with uniform acceleration. The table given below shows distance (in metres) travelled by three cars A, B and C. Read this data carefully and answer the questions that follow: Which of the car is moving with uniform motion?
Question 5 figure 1
  • A
    Car A
    Correct
  • B
    Car B
  • C
    Car C
  • D
    Car B and Car C
6
In everyday life, we see some objects at rest and others in motion. An object may appear to be moving for one person and stationary for some other. Most motions are complex. Some objects may move in a straight line, others may take a circular path. The simplest type of motion is the motion along a straight line. The shortest distance measured from the initial to the final position of an object is known as the displacement. If the object covers equal distance in equal intervals of time, it is said to be in uniform motion. During uniform motion of an object along a straight line, the velocity remainse constant with time. In this case, the change in velocity of the object for any time interval is zero. However, in non-uniform motion, velocity varies with time. Non-uniform motion is of two types – uniform acceleration and non-uniform acceleration. If a car travelling along a straight road increases its speed by unequal amount in equal intervals of time, the car is said to be moving with non-uniform acceleration whereas, if its speed increases or decreases by equal amount in equal interval of time, it is said to be moving with uniform acceleration. The table given below shows distance (in metres) travelled by three cars A, B and C. Read this data carefully and answer the questions that follow: The car that covers the maximum and the minimum distance in the 3rd second respectively is:
Question 6 figure 1
  • A
    C and A
    Correct
  • B
    B and C
  • C
    A and C
  • D
    A and B
7
In everyday life, we see some objects at rest and others in motion. An object may appear to be moving for one person and stationary for some other. Most motions are complex. Some objects may move in a straight line, others may take a circular path. The simplest type of motion is the motion along a straight line. The shortest distance measured from the initial to the final position of an object is known as the displacement. If the object covers equal distance in equal intervals of time, it is said to be in uniform motion. During uniform motion of an object along a straight line, the velocity remainse constant with time. In this case, the change in velocity of the object for any time interval is zero. However, in non-uniform motion, velocity varies with time. Non-uniform motion is of two types – uniform acceleration and non-uniform acceleration. If a car travelling along a straight road increases its speed by unequal amount in equal intervals of time, the car is said to be moving with non-uniform acceleration whereas, if its speed increases or decreases by equal amount in equal interval of time, it is said to be moving with uniform acceleration. The table given below shows distance (in metres) travelled by three cars A, B and C. Read this data carefully and answer the questions that follow: How much distance is covered by the car B in 5 second?
Question 7 figure 1
  • A
    55m
  • B
    15 m
  • C
    46 m
    Correct
  • D
    25 m
8
In everyday life, we see some objects at rest and others in motion. An object may appear to be moving for one person and stationary for some other. Most motions are complex. Some objects may move in a straight line, others may take a circular path. The simplest type of motion is the motion along a straight line. The shortest distance measured from the initial to the final position of an object is known as the displacement. If the object covers equal distance in equal intervals of time, it is said to be in uniform motion. During uniform motion of an object along a straight line, the velocity remainse constant with time. In this case, the change in velocity of the object for any time interval is zero. However, in non-uniform motion, velocity varies with time. Non-uniform motion is of two types – uniform acceleration and non-uniform acceleration. If a car travelling along a straight road increases its speed by unequal amount in equal intervals of time, the car is said to be moving with non-uniform acceleration whereas, if its speed increases or decreases by equal amount in equal interval of time, it is said to be moving with uniform acceleration. The table given below shows distance (in metres) travelled by three cars A, B and C. Read this data carefully and answer the questions that follow: Which of the car is moving with uniform acceleration?
Question 8 figure 1
  • A
    B
  • B
    C
    Correct
  • C
    A
  • D
    B and C
9
What is the value of \({\left[ {{{\left( {64} \right)}^{\frac{1}{2}}}} \right]^{\frac{1}{3}}} \times {\left[ {{{\left( {\frac{1}{{27}}} \right)}^{\frac{1}{3}}}} \right]^2}\)
  • A
    9
  • B
    \(\frac{9}{2}\)
  • C
    \(\frac{2}{9}\)
    Correct
  • D
    2
10
What is the remainder when polynomial \({x^3} - a{x^2} + 6x - a\) is divided by (x-a)?
  • A
    \(\frac{a}{5}\)
  • B
    5a
    Correct
  • C
    a
  • D
    3a
11
Diagonal of a square field is 40 m find the area of the field.
  • A
    \(800{m^2}\)
    Correct
  • B
    \(400{m^2}\)
  • C
    \(40\sqrt 2 {m^2}\)
  • D
    \(600{m^2}\)
12
Find the value of – \(\sqrt {\frac{{36.1}}{{102.4}}} \)
  • A
    \(\frac{{19}}{{34}}\)
  • B
    \(\frac{{19}}{{32}}\)
    Correct
  • C
    \(\frac{{19}}{{31}}\)
  • D
    \(\frac{{6.1}}{{34}}\)
13
Find the value of – \(\sqrt {0.00059049} \)
  • A
    0.0243
    Correct
  • B
    0.00243
  • C
    0.243
  • D
    0.0273
14
Solve for x – \({\left( {25} \right)^{x - 2}}\) \( = {\left( {125} \right)^{2x - 4}}\)
  • A
    2
    Correct
  • B
    0
  • C
    \(\frac{3}{4}\)
  • D
    -2
15
Solve – \(\left( {1 - \frac{1}{3}} \right)\left( {1 - \frac{1}{4}} \right)\left( {1 - \frac{1}{5}} \right).............\left( {1 - \frac{1}{n}} \right)\)
  • A
    \(\frac{4}{n}\)
  • B
    \(\frac{3}{n}\)
  • C
    \(\frac{2}{n}\)
    Correct
  • D
    \(\frac{1}{n}\)
16
If n is a natural number then n (n + 1) is –
  • A
    always divisible by 2
    Correct
  • B
    never divisible by 2
  • C
    none of the above
  • D
    always a prime number
17
Simplify – \(\frac{{{{\left( {893 + 786} \right)}^2} - {{\left( {893 - 786} \right)}^2}}}{{893 \times 786}}\)
  • A
    4
    Correct
  • B
    107
  • C
    1683
  • D
    701898
18
Three numbers are in ratio 1 : 2 : 3 their H.C.F. is 12. The number are:
  • A
    5, 10, 15
  • B
    12, 24, 36
    Correct
  • C
    10, 20, 30
  • D
    4, 8, 12