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All questions of Complete Sample Papers for Class 5 Exam

A cylindrical tank with a capacity of 32 litres is 4/5 full of water. One quarter of the water is poured into a pail. How much water is left in the cylindrical tank?
  • a)
    6  2/5 litres
  • b)
    19  1/5 litres
  • c)
    5  3/17 litres
  • d)
    8  4/5 litres
Correct answer is option 'B'. Can you explain this answer?

Shalini Iyer answered
Given:
Capacity of cylindrical tank = 32 litres
Tank is 4/5 full of water
Quarter of water is poured into a pail

To find: How much water is left in the cylindrical tank?

Solution:

Step 1: Find the amount of water in the cylindrical tank
The cylindrical tank is 4/5 full of water
Therefore, the amount of water in the cylindrical tank = 4/5 x 32 = 25.6 litres

Step 2: Find the amount of water poured into the pail
One quarter of the water in the cylindrical tank is poured into the pail
Therefore, the amount of water poured into the pail = 1/4 x 25.6 = 6.4 litres

Step 3: Find the amount of water left in the cylindrical tank
The amount of water left in the cylindrical tank = Total amount of water - Amount of water poured into the pail
= 25.6 - 6.4 = 19.2 litres

Therefore, the answer is option B) 19 1/5 litres.

The average mass of 3 boys is 64 kg. If the total mass of 2 of them is 119 kg, how heavy is the third boy?
  • a)
    36 kg
  • b)
    73 kg
  • c)
    160 kg
  • d)
    192 kg 
Correct answer is option 'B'. Can you explain this answer?

Kavya Chauhan answered
Given information:
- Average mass of 3 boys = 64 kg
- Total mass of 2 boys = 119 kg

To find: Mass of the third boy

Solution:
Let's assume the mass of the third boy as x kg.

We know that the average mass of 3 boys is 64 kg, which means the total mass of all 3 boys would be:

Total mass of 3 boys = Average mass of 3 boys × Number of boys
Total mass of 3 boys = 64 × 3
Total mass of 3 boys = 192 kg

Now, we also know that the total mass of 2 boys is 119 kg. So, we can find the mass of the third boy by subtracting the total mass of 2 boys from the total mass of 3 boys:

Mass of the third boy = Total mass of 3 boys - Total mass of 2 boys
Mass of the third boy = 192 - 119
Mass of the third boy = 73 kg

Therefore, the mass of the third boy is 73 kg.

Answer: Option B) 73 kg

Which unit could be used for measuring the amount of liquid needed to fill a small teacup?
  • a)
    gram
  • b)
    kg
  • c)
    meter
  • d)
    milliliter 
Correct answer is option 'D'. Can you explain this answer?

The correct unit for measuring the amount of liquid needed to fill a small teacup is milliliter (ml).

Explanation:
- Milliliter is a unit of volume that is commonly used to measure small amounts of liquid. It is a metric unit and is equal to one-thousandth of a liter.
- The teacup mentioned in the question is a small container, and therefore, it requires a unit of measurement that is suitable for measuring small volumes of liquid.
- Gram and kilogram (options a and b) are units of weight or mass, not volume. They are used to measure the amount of matter in an object, not the amount of liquid it can hold.
- Meter (option c) is a unit of length, not volume. It is used to measure distance or size, not the amount of liquid in a teacup.
- Therefore, the correct unit for measuring the amount of liquid needed to fill a small teacup is milliliter (ml), which is option d.

To summarize:
- The unit for measuring the amount of liquid needed to fill a small teacup is milliliter (ml).
- Milliliter is a unit of volume and is suitable for measuring small amounts of liquid.
- Gram, kilogram, and meter are not appropriate units for measuring liquid volume in a teacup.

1 kg of rice costs as much as 1.25 kg of wheat flour. Leela paid Rs 12.60 for 2 kg of rice and 5 kg of wheat flour. Find the cost of 5 kg of wheat flour.
  • a)
    Rs 1.68
  • b)
    Rs 2.10 
  • c)
    Rs 8.40
  • d)
    Rs 10.50 
Correct answer is option 'C'. Can you explain this answer?

Given:
1 kg of rice costs as much as 1.25 kg of wheat flour.

Leela paid Rs 12.60 for 2 kg of rice and 5 kg of wheat flour.

To find:
The cost of 5 kg of wheat flour.

Solution:
Let's assume the cost of 1 kg of rice is Rs x.
According to the given information, 1 kg of rice costs as much as 1.25 kg of wheat flour.
So, the cost of 1.25 kg of wheat flour is also Rs x.

Now, we have the following information:
Cost of 2 kg of rice = Rs 12.60
Cost of 5 kg of wheat flour = ?

To find the cost of wheat flour, we can use the concept of ratios.

Ratio of cost of rice to cost of wheat flour = 2:5

So, we can set up the following equation using the given information:
2/x = 5/(1.25x)

Cross-multiplying the equation, we get:
2 * 1.25x = 5 * x

Simplifying the equation, we get:
2.5x = 5x

Subtracting 2.5x from both sides of the equation, we get:
2.5x - 2.5x = 5x - 2.5x
0.5x = 0

Dividing both sides of the equation by 0.5, we get:
x = 0

This means that the cost of 1 kg of rice is zero, which is not possible.

Therefore, there must be an error in the given information or the question itself.

The correct answer cannot be determined with the given information.

Hence, the options provided (a) Rs 1.68, (b) Rs 2.10, (c) Rs 8.40, and (d) Rs 10.50 are not valid answers.

12 taps flowing at the same rate can fill a pool in 1 h. How long will it take 5 taps to fill the same pool?
  • a)
    2 h 4 min
  • b)
    2 h 14 min
  • c)
    2 h 24 min
  • d)
    2 h 34 min 
Correct answer is option 'C'. Can you explain this answer?

Amit Sharma answered
1/r is the work_rate of each one, where r>0
 
the combined work_rate is 12/r, and they finish the job in 1 hour.
So 12/r = 1 ---> r = 12
 
So each work_rate is 1/12
That is one of them finishes 1/12 of the job per hour.
 
For 5 of them, the combined work_rate is 5/12, so it
will take them 12/5 hours = 2 and 2/5 hours = 2 hours and 24 minutes

Vivek is studying decimals. He does not know about rounding. He wants to round 7.502 to the nearest hundredth. Can you help him to select the right answer?
  • a)
    7.50
  • b)
    7.51
  • c)
    7.05
  • d)
    7.15
Correct answer is option 'B'. Can you explain this answer?

Step 1: Find the digit at the hundredth place in 7.502.
So, it is 0.
Step 2: Check the digit at the thousandth place in it.
It is 2.
As 2 < 5, so the digit at the hundredth place will remain the same.
Hence, the number after rounding to the nearest hundredth is '7.50'.

There are 45 animals in a pet shop. 23 of them are puppies, 6 of them are parrots and the rest are kittens. How many kittens are in the pet shop?
  • a)
    10
  • b)
    16
  • c)
    8
  • d)
  • e)
    5
Correct answer is option 'B'. Can you explain this answer?

Saanvi Saha answered
Given information:
- Total number of animals in the pet shop = 45
- Number of puppies = 23
- Number of parrots = 6

To find:
- Number of kittens in the pet shop

Solution:
- We know that the total number of animals in the pet shop is 45.
- We also know that there are 23 puppies and 6 parrots.
- Therefore, the number of kittens can be found by subtracting the number of puppies and parrots from the total number of animals.

Number of kittens = Total number of animals - Number of puppies - Number of parrots
Number of kittens = 45 - 23 - 6
Number of kittens = 16

Therefore, there are 16 kittens in the pet shop. The correct option is B.

Answer: Option B.

There are 30 pupils in a class. Each boy brings 5 stickers and each girl brings 4 stickers. If all the boys bring 60 more stickers than all the girls, how many boys are there?
  • a)
    10
  • b)
    15 
  • c)
    20
  • d)
    25 
  • e)
    5
Correct answer is option 'C'. Can you explain this answer?

Given information:
- Number of pupils in the class = 30
- Stickers brought by each boy = 5
- Stickers brought by each girl = 4
- Total stickers brought by boys = Total stickers brought by girls + 60

Let's assume that there are 'b' boys in the class and 'g' girls in the class.

Total number of stickers brought by boys = 5b
Total number of stickers brought by girls = 4g

According to the given information, we can form the following equations:

5b = 4g + 60 ----(1) (Total stickers brought by boys = Total stickers brought by girls + 60)
b + g = 30 ----(2) (Total number of pupils in the class)

Now, we need to solve these equations to find the value of 'b', which represents the number of boys in the class.

Solving equation (2) for 'g', we get:

g = 30 - b

Substituting this value of 'g' in equation (1), we get:

5b = 4(30 - b) + 60

5b = 120 - 4b + 60

9b = 180

b = 20

Therefore, there are 20 boys in the class, which is option (C).

Number X is a common multiple of 8 and 7. It is between 1100 and 1200. What is number X?
  • a)
    1144
  • b)
    1197 
  • c)
    1120
  • d)
    1136
Correct answer is option 'C'. Can you explain this answer?

Nabanita Bose answered
The least common multiple of 8 and 7 is given by 8 * 7 = 56
We need to determine the number A which is a common multiple of 8 and 9. It is also given that the number A is between 1200 and 1300.
The multiples of 8 between the range 1100 and 1200 is given by
1104, 1112, 1120, 1128, 1136, 1144, 1152, 1160, 1168, 1176, 1184, 1192, 1200.
The multiples of 7 between the range 1100 and 1200 is given by
1106, 1113, 1120, 1127, 1134, 1141, 1148, 1155, 1162, 1169, 1176, 1183, 1190 and 1197
It is obvious from the multiples of 8 and 7, the common multiple is 1120.
Thus, the number A is 1120.

The total mass of 3 adults Govind, Joy and Vineet is 219.4 kg. Govind is 6.9 kg lighter than Vineet. Vineet is 10.4 kg heavier than Joy. How heavy is Govind?
  • a)
    68.5 kg 
  • b)
    70.4 kg
  • c)
    72 kg
  • d)
    78.9 kg
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Aditi Sharma answered
Correct Answer :- C
Explanation:- Joy = x
Vineet = 10.4 + x
Govind = (10.4 + x) - 6.9
Total mass = [x + 10.4 + x + (10.4 + x) - 6.9]
219.4 = 3x + 13.9
205.5 = 3x
x = 68.5
So, Govind = 10.4 + 68.5 - 6.9 = 72 kg

Then given figure is made up of identical squares. The total area of the figure is 576 cm2. What is the perimeter of the figure?
  • a)
    320 cm
  • b)
    160 cm
  • c)
    200 cm
  • d)
    240 cm
Correct answer is option 'B'. Can you explain this answer?

Edu Impact answered
Number of squares in given figure = 9
Area of 9 squares = 576 cm2
Area of 1 square = 576 ÷ 9 = 64 cm2
= 8 cm × 8 cm
∴ Side of 1 square = 8 cm
∴ Perimeter of the given figure
=20×8 cm = 160 cm.

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