Class 09 PSA Quantitative Reasoning Test

Class 9 · PSA Quantitative Reasoning

This is online test 01 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
Suppose instead of a number system a symbol system were used which had digits as !, @, #, $, %, ^, &, *, O and > corresponding respectively to the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The digit ! is used in the same fashion as the 0 in the decimal system, e.g. Which is equal to \({10^2}\)?
  • A
    O!@
  • B
    @!!
    Correct
  • C
    @!@
  • D
    &%
2
Suppose instead of a number system a symbol system were used which had digits as !, @, #, ?, %, ^, &, *, O and > corresponding respectively to the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The digit ! is used in the same fashion as the 0 in the decimal system, e.g. The sum of % + & + ? is
  • A
    @$
    Correct
  • B
    #@
  • C
    *^
  • D
    @@
3
A school has a prayer hall which is 15 m long and 12 m broad. The students of grade XII decide to paint it before their farewell. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
  • A
    \(720\;{m^3}\)
    Correct
  • B
    \(1200\;{m^3}\)
  • C
    \(900\;{m^3}\)
  • D
    \(1800\;{m^3}\)
4
In a combined entrance exam, marks would be scored as follows. <ui>•For each correct answer +5 •For each incorrect answer -2 •Without an answer 0 Four friends namely Sudha, Pushpa, Anuradha and Razia appeared in the exam. There were 60 questions in booklet. Two days later, they downloaded correct answer from internet and tallied their answer, as shown in the table. Which friend will score the least? Correct Incorrect Unanswered Sudha 35 20 5 Pushpa 32 8 20 Anuradha 34 6 20 Razia 40 5 15
  • A
    Sudha
    Correct
  • B
    Razia
  • C
    Pushpa
  • D
    Anuradha
5
Amit went to Urban Cooperative Bank to deposit money. He had total Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination was equal. What was the total number of notes that he had?
  • A
    90
    Correct
  • B
    60
  • C
    30
  • D
    160
6
Priya is in India and her cousin stays in Australia. Difference in their local time is 6 hours and Australian time is 6 hours ahead Indian time. They are in school between 9:00 Hrs to 15:00 Hrs and have to sleep between 22:00 Hrs to 6:00 Hrs, as per their local time. What time you would suggest them to chat?
  • A
    6:00 Indian time
  • B
    15:30 Indian time
    Correct
  • C
    15:30 Australian time
  • D
    6:00 Australian time
7
Jeena has 2 pastries. If one more friend comes in she will have to eat 1 pastry and give the next one to the friend. If three friends come in then they will get 1/2 pastry each. If seven friends come in they will get 1/4 pastry each. If 15 friends will come in then how much pastry will each one get?
  • A
    1/3
  • B
    1/16
  • C
    1/8
    Correct
  • D
    2/8
8
There are 400 cardboard boxes on a truck. Some of the boxes are large and some are small. The total mass of the boxes is 3540 kg. The mass of one large box is 12 kg and the mass of one small box is 5 kg. What is the ratio of the number of Small boxes: Large boxes?
  • A
    11 : 20
  • B
    1 : 9
  • C
    9 : 20
  • D
    9 : 11
    Correct
9
Ramu is a gardener who pulls water from an underground tank of diameter 7 m to irrigate his garden. If he pulls up 200 buckets of total water, then water level falls down 10 cm in the tank. What is the capacity of the bucket in litre?
  • A
    10 L
  • B
    19 L
    Correct
  • C
    15 L
  • D
    16 L
10
The smaller wheel of a baby cycle has a radius 14 cm. One evening Ajay rides this cycle for some distance. The smaller wheel rotates 500 times while the bigger one 200 times. What is the diameter of the bigger wheel?
  • A
    35 cm
  • B
    70 cm
    Correct
  • C
    28 cm
  • D
    56 cm
11
Read the following passage and answer the following questions: 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. At which position, the potential energy is minimum?
Question 11 figure 1Question 11 figure 2
  • A
    0.50 m
    Correct
  • B
    1.00 m
  • C
    1.20 m
  • D
    1.45 m
12
Read the following passage and answer the following questions: 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. Which conclusion regarding the total mechanical energy (TME) of the cart is right with the data values?
Question 12 figure 1Question 12 figure 2
  • A
    The TME increases as the cart rolls upward decreases as it rolls down.
  • B
    The TME decreases as the cart rolls upward and decreases as it roll down.
  • C
    The TME decreases as the cart rolls upward and increases as it roll down.
  • D
    The TME remains constant during the cart’s motion along the incline plane.
    Correct
13
Read the following passage and answer the following questions: 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. During motion of cart from location C to D:
Question 13 figure 1Question 13 figure 2
  • A
    The K.E. increases and P.E. decreases
    Correct
  • B
    Both the K.E. and P.E. decreases
  • C
    Both the K.E. and P.E. increases
  • D
    The K.E. decreases and P.E. increases
14
Read the following passage and answer the following questions: 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. For which of the following positions along the track does the cart have the smallest K.E.?
Question 14 figure 1Question 14 figure 2
  • A
    50 cm
  • B
    90 cm
  • C
    30 cm
  • D
    150 cm
    Correct
15
The following bar graph gives the information of the sales of the books (in thousands) of six languages during two consecutive years 2010 and 2011. And answer the following questions based on below bar Graph: Total sale of English, Hindi and German books (in thousands) for both years :
Question 15 figure 1
  • A
    560
    Correct
  • B
    250
  • C
    310
  • D
    435
16
The following bar graph gives the information of the sales of the books (in thousands) of six languages during two consecutive years 2010 and 2011. And answer the following questions based on below bar Graph: What is the ratio of total sale of Spanish books in both years and total books of Hindi in both years?
Question 16 figure 1
  • A
    5 : 34
  • B
    11 : 10
  • C
    8 : 11
  • D
    10 : 11
    Correct
17
The following bar graph gives the information of the sales of the books (in thousands) of six languages during two consecutive years 2010 and 2011. And answer the following questions based on below bar Graph: What is the average sale in thousands of all the books for the year 2010?
Question 17 figure 1
  • A
    80
    Correct
  • B
    83
  • C
    88
  • D
    73
18
The following bar graph gives the information of the sales of the books (in thousands) of six languages during two consecutive years 2010 and 2011. And answer the following questions based on below bar Graph: What is the ratio of the total sale of French books as compared to the sales of Sanskrit books for both years?
Question 18 figure 1
  • A
    2 : 3
  • B
    7 : 9
    Correct
  • C
    3 : 5
  • D
    5 : 7