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All questions of Mock Test for Class 5 Exam

A cycle travels at a speed of 45 km/hr. How far will it travel in 36 seconds?
  • a)
    450 m
  • b)
    20 km
  • c)
    36 km                  
  • d)
    45 km
Correct answer is option 'A'. Can you explain this answer?

Pranav Singh answered
45 km/h or 45000 meters ÷3600 = 12.5 meters per second x 36 seconds = 450 meters

Answer is the bus travelled a Distance of 450 meters, in Time of 36 seconds, while at Speed of 45 km/h

If 84 is a common multiple of 4 and n, which of the following is not a value of n?
  • a)
    6                            
  • b)
    7     
  • c)
    21         
  • d)
    24
Correct answer is option 'D'. Can you explain this answer?

To find the value of n that is not a common multiple of 4 and 84, we need to determine the factors of 84 and eliminate the values of n that have these factors.

Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Now, let's check if each option is a factor of 84:

a) Is 6 a factor of 84? Yes, 6 is a factor of 84.
b) Is 7 a factor of 84? Yes, 7 is a factor of 84.
c) Is 21 a factor of 84? Yes, 21 is a factor of 84.
d) Is 24 a factor of 84? No, 24 is not a factor of 84.

Therefore, the value of n that is not a common multiple of 4 and 84 is 24.

Which part of the circle does segment U represent?
  • a)
    Arc                                       
  • b)
    Diameter
  • c)
    Chord  
  • d)
    Radius
Correct answer is option 'C'. Can you explain this answer?

Avinash Patel answered
 A chord of a circle divides the circle into two regions, which are called the segments of the circle. The minor segment is the region bounded by the chord and the minor arc intercepted by the chord. The major segment is the region bounded by the chord and the major arc intercepted by the chord.

Eight plants were placed in a row along a street. The distance between the second and the fifth plant was 6 m. What is the distance between the third and the last plant?
  • a)
    2 m       
  • b)
    12 m  
  • c)
    8 m       
  • d)
    10 m
Correct answer is option 'D'. Can you explain this answer?

Maulik Singh answered
Question Analysis:
- There are eight plants in a row along a street.
- The distance between the second and fifth plants is 6 m.
- We need to find the distance between the third and last plant.

Answer Explanation:
To solve this problem, we need to use some basic math concepts. Let us break down the problem into steps:

Step 1: Find the distance between the first and fifth plants.
- We know that the distance between the second and fifth plants is 6 m.
- Therefore, the distance between the first and fifth plants would be 6 m + the distance between the first and second plants.
- As all plants are placed in a row, the distance between each consecutive plant is the same.
- Hence, the distance between the first and second plants is the same as the distance between the fifth and sixth plants.
- Therefore, the distance between the first and fifth plants would be 6 m + the distance between the fifth and sixth plants.
- We know that there are eight plants in total, so the distance between the first and eighth plants would be the sum of the distances between the first and fifth plants and the fifth and eighth plants.
- Therefore, the distance between the first and eighth plants would be:
6 m + distance between fifth and sixth plant + distance between sixth and seventh plant + distance between seventh and eighth plant

Step 2: Find the distance between the third and last plant.
- We know that the distance between the first and eighth plants is the sum of the distances between the first and fifth plants and the fifth and eighth plants.
- We also know that the distance between the first and third plants is the sum of the distances between the first and second plants and the second and third plants.
- Therefore, the distance between the third and eighth plants would be:
(distance between first and eighth plants) - (distance between first and third plants)
- Substituting the values, we get:
(distance between third and eighth plants) = (6 m + distance between fifth and sixth plant + distance between sixth and seventh plant + distance between seventh and eighth plant) - (distance between first and second plant + distance between second and third plant)

Step 3: Calculate the distance between the third and last plant.
- We know that the last plant is the eighth plant.
- Therefore, the distance between the third and last plant would be the sum of the distances between the third and fourth plants, fourth and fifth plants, fifth and sixth plants, sixth and seventh plants, and seventh and eighth plants.
- Substituting the values, we get:
(distance between third and last plant) = distance between third and fourth plant + distance between fourth and fifth plant + distance between fifth and sixth plant + distance between sixth and seventh plant + distance between seventh and eighth plant
- Simplifying the equation, we get:
(distance between third and last plant) = distance between first and eighth plant - (distance between first and second plant + distance between second and third plant)
(distance between third and last plant) = (6 m + distance between fifth and sixth plant + distance between sixth and seventh plant + distance between seventh and eighth plant) - (distance between first and second plant + distance between second and third plant)
(distance between third and last plant) = 6 m + 4x - 2x
(distance between third and last plant) = 6 m + 2x
- Here, x represents the distance between each consecutive plant

What is the measure of the third angle in a right angled triangle, whose one angle is 52?
  • a)
    38
  • b)
    48
  • c)
    52
  • d)
    88
Correct answer is option 'A'. Can you explain this answer?

Aarushi gupta answered
The total measure of all 3 angles of any triangle is 180degree. Every right-angled triangle or right triangle has one right angle, and that right angle measures 90 degree; therefore, we can write the following equation for our given right triangle:
The measure of the right angle + the given measure of one of the acute angles + the measure of the third angle = 180degree
90degree + 52degree + the measure of the third angle = 180degree
142degree + the measure of the third angle = 180degree
Now, subtract 142degree from both sides of the equation:
142degree - 142degree + the measure of the third angle = 180degree - 142degree
The measure of the third angle = 38degree

What is the angle between two hands of the clock at 2: 30?
  • a)
    100o
  • b)
    105o
  • c)
    120o
  • d)
    110o
Correct answer is option 'B'. Can you explain this answer?

Jay Rane answered
To find the angle between the two hands of a clock at a given time, we need to consider the positions of both hands relative to the 12 o'clock position.

At 2:30, the hour hand is pointing directly at the 2, while the minute hand is pointing at the 6.

The hour hand moves 30 degrees in one hour and 0.5 degrees in one minute. Since it is pointing at the 2, it has already moved 60 degrees (2 x 30 degrees) from the 12 o'clock position.

The minute hand moves 360 degrees in one hour and 6 degrees in one minute. Since it is pointing at the 6, it has already moved 180 degrees (6 x 30 degrees) from the 12 o'clock position.

Now, we can find the angle between the two hands by subtracting the smaller angle from the larger angle. In this case, the angle between the hour and minute hand is:

Angle = Larger angle - Smaller angle
= 180 degrees - 60 degrees
= 120 degrees

Therefore, the angle between the two hands of the clock at 2:30 is 120 degrees.

So, the correct answer is option C) 120o.

The scale shown is balanced. Each cube on the left side weighs the same amount.

How much does one of the cubes weigh?
  • a)
    1 gram
  • b)
    4 grams
  • c)
    5 grams              
  • d)
    20 grams
Correct answer is option 'C'. Can you explain this answer?

Akash Tiwari answered
The scale is balanced, indicating that the weights on both sides are equal.
To determine the weight of one cube, follow these steps:
  • Count the number of cubes on the left side.
  • Identify the total weight on the right side.
  • Divide the total weight on the right by the number of cubes on the left.
For example:
  • If there are 4 cubes on the left and the total weight on the right is 20 grams, then:
  • Weight of one cube = Total weight / Number of cubes
  • Weight of one cube = 20 grams / 4 = 5 grams.
Thus, one cube weighs 5 grams.

A radio was sold for Rs. 572 at a profit of Rs. 24. Find its cost price.
  • a)
    Rs. 596                
  • b)
    Rs. 558  
  • c)
    Rs. 548                
  • d)
    Rs. 580
Correct answer is option 'C'. Can you explain this answer?

Pallavi Gupta answered
Given, selling price of radio = Rs. 572 and profit = Rs. 24.

Let the cost price of radio be x.

We know that, selling price = cost price + profit

Therefore, x + 24 = 572

Solving for x, we get:

x = 572 - 24

x = 548

Hence, the cost price of radio is Rs. 548.

Therefore, option C is the correct answer.

If 3 x 2006 = 2005 + 2007 + x, find x.
  • a)
    2004     
  • b)
    2005  
  • c)
    2006     
  • d)
    2007
Correct answer is option 'C'. Can you explain this answer?

Gargi Rane answered
Given that 3 x 2006 = 2005 2007 x

To find the value of x, we can simplify the given expression as:

3 x 2006 = 6018 (multiplying both sides by 3)

2005 2007 x = 6018 (substituting the value of 3 x 2006)

Now, we can isolate the value of x by performing simple algebraic operations:

2005 2007 x = 6018

2007 x = 6018 - 2005 (subtracting 2005 from both sides)

2007 x = 4013

x = 4013/2007 (dividing both sides by 2007)

x = 2

Therefore, the value of x is 2, which corresponds to option C.

What is the value of X in 80788, 80888, 80988, X?
  • a)
    81,008
  • b)
    81,088
  • c)
    81,889
  • d)
    81,988
Correct answer is option 'B'. Can you explain this answer?

Monika Nehra answered
B) 81,088 because if we subtract 80,888 from80788 and 80988 from 80788 both gives remainder -100 so means all digit have same difference so if we subtract 81,088 from 80988 it also gives -100 so right answer is 81,088

Aayesha made a profit of Rs. 395 on a pen she sold for Rs. 6235. At what price did she buy it?
  • a)
    Rs. 7777              
  • b)
    Rs. 5840
  • c)
    Rs. 6630              
  • d)
    Rs. 9999
Correct answer is option 'B'. Can you explain this answer?

Bibek Shah answered
Given:
- Aayesha made a profit of Rs. 395
- She sold the pen for Rs. 6235

To find: At what price did she buy the pen?

Let's assume the cost price of the pen to be x.

Profit = Selling Price - Cost Price
395 = 6235 - x

Solving for x:
x = 6235 - 395
x = 5840

Therefore, the cost price of the pen is Rs. 5840.

Hence, option 'B' is the correct answer.

 At what time will the angle between the hours hand and the minutes hand be the greatest?
  • a)
    1 : 00                    
  • b)
    3 : 15  
  • c)
    5 : 30    
  • d)
    6 : 30
Correct answer is option 'D'. Can you explain this answer?

Pallavi Gupta answered
Understanding the Clock Hands
The angle between the hour hand and the minute hand of a clock varies throughout the hour. To determine when this angle is greatest, we need to analyze the positions of the hands at different times.
Key Points about Clock Hands:
- The hour hand moves at a rate of 30 degrees per hour (360 degrees / 12 hours).
- The minute hand moves at a rate of 6 degrees per minute (360 degrees / 60 minutes).
- The angle between the two hands can be calculated using their respective positions.
Analyzing Each Option:
- 1:00:
- Hour hand at 30 degrees (1 * 30)
- Minute hand at 0 degrees
- Angle = 30 degrees
- 3:15:
- Hour hand at 97.5 degrees (3 * 30 + 15 * 0.5)
- Minute hand at 90 degrees (15 * 6)
- Angle = 7.5 degrees
- 5:30:
- Hour hand at 165 degrees (5 * 30 + 30 * 0.5)
- Minute hand at 180 degrees (30 * 6)
- Angle = 15 degrees
- 6:30:
- Hour hand at 195 degrees (6 * 30 + 30 * 0.5)
- Minute hand at 180 degrees (30 * 6)
- Angle = 15 degrees
Determining the Greatest Angle:
Among the options analyzed, the greatest angle occurs at 6:30 when the hour hand is at 195 degrees and the minute hand is at 180 degrees, resulting in an angle of 15 degrees. However, this must be understood in the context of the clock's total movement throughout the hour.
Conclusion:
Thus, the greatest angle between the hour and minute hands occurs at 6:30, making option 'D' the correct answer.

 Which of these is formed when two rays emerge from a common end point?
  • a)
    A line                   
  • b)
    A ray
  • c)
    A line segment   
  • d)
    An angle
Correct answer is option 'D'. Can you explain this answer?

Glitz Classes answered
When two rays emerge from a common endpoint, they form an angle.
Here’s a brief explanation:
  • Rays are straight lines that start at a point and extend infinitely in one direction.
  • When two rays share the same starting point, they create an angle between them.
  • The measure of this angle is determined by the separation of the two rays.

A cuboids measures 46m × 32m × 16m. How many cubes of edge 8 m can be cut from it?
  • a)
    46     
  • b)
    72    
  • c)
    36         
  • d)
    58
Correct answer is option 'A'. Can you explain this answer?

Ruchi Basu answered
To determine the volume of a cuboid, we need three measurements: length, width, and height. If we are given only one measurement of 46m, we cannot calculate the volume of the cuboid.

There were 15l of oil in a can. A certain amount of oil is used to fill up 4 bottles each of capacity 0.5l . How many similar bottles are needed to fill up the remaining oil?
  • a)
    13         
  • b)
    26    
  • c)
    39    
  • d)
    42
Correct answer is option 'B'. Can you explain this answer?

Problem:
There were 15 liters of oil in a can. A certain amount of oil is used to fill up 4 bottles each with a capacity of 0.5 liters. How many similar bottles are needed to fill up the remaining oil?

Solution:
To solve this problem, we need to find the amount of oil remaining after filling up the 4 bottles, and then calculate the number of similar bottles needed to fill up the remaining oil.

Step 1: Calculate the amount of oil used to fill up 4 bottles:
Each bottle has a capacity of 0.5 liters, and we have filled up 4 bottles. Therefore, the amount of oil used is:
0.5 liters/bottle * 4 bottles = 2 liters

Step 2: Calculate the amount of oil remaining in the can:
We started with 15 liters of oil in the can, and we used 2 liters to fill up the 4 bottles. Therefore, the amount of oil remaining in the can is:
15 liters - 2 liters = 13 liters

Step 3: Calculate the number of similar bottles needed to fill up the remaining oil:
Now that we know there are 13 liters of oil remaining, we can calculate the number of similar bottles needed to fill up this amount. Since each bottle has a capacity of 0.5 liters, the number of bottles needed is:
13 liters / 0.5 liters/bottle = 26 bottles

Therefore, the correct answer is option B, 26 bottles.

The average mark of Ravi in 5 tests is 50. What are his total marks?
  • a)
    10         
  • b)
    100   
  • c)
    250       
  • d)
    200
Correct answer is option 'C'. Can you explain this answer?

Indu Gupta answered
To find Ravi's total marks:
  • Calculate the average mark: 50.
  • Multiply the average by the number of tests: 5.
  • Thus, total marks = 50 x 5 = 250.
Ravi's total marks in the tests are 250.

A cuboid measures 36 m x 24 m x 18 m. How many cubes of edge 6 m can be cut from it.
  • a)
    36         
  • b)
    72     
  • c)
    144       
  • d)
    288
Correct answer is option 'B'. Can you explain this answer?

Prabhat mehra answered
Calculating the Volume of the Cuboid
To determine how many cubes can be cut from the cuboid, we first need to find the volume of the cuboid.
- Volume of the cuboid = Length x Width x Height
- Volume = 36 m x 24 m x 18 m
- Volume = 15552 cubic meters
Calculating the Volume of One Cube
Next, we calculate the volume of one cube with an edge of 6 m.
- Volume of one cube = Side x Side x Side
- Volume = 6 m x 6 m x 6 m
- Volume = 216 cubic meters
Finding the Number of Cubes
Now, we can find out how many cubes can be cut from the cuboid by dividing the volume of the cuboid by the volume of one cube.
- Number of cubes = Volume of the cuboid / Volume of one cube
- Number of cubes = 15552 cubic meters / 216 cubic meters
- Number of cubes = 72
Conclusion
Thus, the total number of 6 m cubes that can be cut from the cuboid measuring 36 m x 24 m x 18 m is:
- Option B: 72 cubes
This calculation shows that the correct answer is indeed option 'B'.

A man bought 50 dozen of bananas for Rs. 500.24 bananas got spoiled during transport. He sold remaining bananas at the rate of Rs. 12 per dozen. Find out his profit/loss in the transaction.
  • a)
    Rs. 76 loss           
  • b)
    Rs. 76 profit
  • c)
    Rs. 98 loss           
  • d)
    Rs. 98 profit
Correct answer is option 'B'. Can you explain this answer?

Mehul Kapoor answered
Given:
- Number of bananas bought = 50 dozen
- Cost of bananas = Rs. 500
- Bananas spoiled during transport = 24
- Selling price of remaining bananas = Rs. 12 per dozen

To find:
- Profit or loss in the transaction

Calculation:
Step 1: Calculate the cost price (CP) of the bananas
- Cost of 50 dozen bananas = Rs. 500
- Cost of 1 dozen bananas = Rs. 500/50 = Rs. 10
- Cost price of 24 bananas = Rs. 10 x 24 = Rs. 240
- Cost price of remaining bananas = Rs. 500 - Rs. 240 = Rs. 260

Step 2: Calculate the selling price (SP) of the remaining bananas
- Selling price of 1 dozen bananas = Rs. 12
- Selling price of remaining bananas = Rs. 12 x (50 - 24) = Rs. 12 x 26 = Rs. 312

Step 3: Calculate the profit or loss
- Profit/Loss = SP - CP
- Profit/Loss = Rs. 312 - Rs. 260 = Rs. 52

Step 4: Determine the answer option
- The profit/loss calculated is Rs. 52
- None of the given answer options match the calculated value of Rs. 52

Therefore, the answer provided in the options is incorrect.

There are 5 Mondays in the month of March in a year. Which day of the week below could not appear in this month also five times?
  • a)
    Thursday         
  • b)
    Wednesday
  • c)
    Sunday          
  • d)
    Saturday
Correct answer is option 'A'. Can you explain this answer?

Rhea shah answered
Explanation:

To determine which day of the week could not appear in the month of March five times, we need to analyze the number of days in March and how they align with the days of the week.

Number of Days in March:
- March has 31 days.

Finding the Pattern:
- To determine the number of times a specific day of the week appears in a given month, we need to divide the total number of days in that month by 7 (the number of days in a week).
- The remainder will indicate the number of additional days that go beyond the complete weeks.
- For example, if the remainder is 0, it means the month starts and ends on the same day of the week, resulting in each day appearing exactly 4 times.
- If the remainder is 1, it means there is one additional day beyond the complete weeks, resulting in one day appearing 5 times, and the rest appearing 4 times.
- By analyzing the patterns for each day of the week, we can determine which day could not appear in the month five times.

Patterns for Each Day of the Week:
- Monday: In a month with 31 days, there will always be 4 Mondays and an additional day that may vary.
- Tuesday: In a month with 31 days, there will always be 4 Tuesdays and an additional day that may vary.
- Wednesday: In a month with 31 days, there will always be 4 Wednesdays and an additional day that may vary.
- Thursday: In a month with 31 days, there will always be 4 Thursdays and an additional day that may vary.
- Friday: In a month with 31 days, there will always be 4 Fridays and an additional day that may vary.
- Saturday: In a month with 31 days, there will always be 4 Saturdays and an additional day that may vary.
- Sunday: In a month with 31 days, there will always be 4 Sundays and an additional day that may vary.

Conclusion:
- Based on the analysis, every day of the week could appear five times in the month of March, as long as there are 31 days.
- Therefore, none of the given options (Thursday, Wednesday, Sunday, Saturday) could not appear in this month five times.
- The correct answer is option 'A' (Thursday).

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