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1.

The number of three element subsets of {1, 2 ......10} sum of whose elements is even is :

Answer»


The number of three element subsets of {1, 2 ......10} sum of whose elements is even is :




2.

Present the following information in a suitable tabular form:(i) In 2015, out of total 2,000 workers in a factory, 1,550 were members of a trade union. The number of women workers employees was 250, out of which 200 did not belong to any trade union.(ii) In 2018, the number of union workers was 1,725 of which 1,600 were men. The number of non-union workers was 380, among which 155 were women.

Answer» Present the following information in a suitable tabular form:



(i) In 2015, out of total 2,000 workers in a factory, 1,550 were members of a trade union. The number of women workers employees was 250, out of which 200 did not belong to any trade union.



(ii) In 2018, the number of union workers was 1,725 of which 1,600 were men. The number of non-union workers was 380, among which 155 were women.
3.

There are 486 sacks of cement, which need to be transported to a contraction site from a warehouse. There are 9 trucks available for the transportation facility. Is it possible to evenly distribute the load? Answer in Yes/ No.

Answer» There are 486 sacks of cement, which need to be transported to a contraction site from a warehouse. There are 9 trucks available for the transportation facility. Is it possible to evenly distribute the load? Answer in Yes/ No.




4.

Match the geometric shapes written below to its corresponding diagram. a. perpendicular bisector b. bisector c. only bisector d. only perpendicular [4 MARKS]

Answer» Match the geometric shapes written below to its corresponding diagram.
a. perpendicular bisector
b. bisector
c. only bisector
d. only perpendicular

[4 MARKS]
5.

Express 14 litres and 275 millilitres as a fraction.

Answer» Express 14 litres and 275 millilitres as a fraction.
6.

Given : Meena’s height = 140 cm , Gopal’s height = 160 cm .The simplified ratio of Meena and Gopal is :

Answer»

Given : Meena’s height = 140 cm , Gopal’s height = 160 cm .The simplified ratio of Meena and Gopal is :


7.

In the given figure, if ∠ACB = 40°, ∠DPB = 120°, find ∠CBD.

Answer» In the given figure, if ∠ACB = 40°, ∠DPB = 120°, find ∠CBD.



8.

In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato and other potatoes are placed 3 m apart in a straight line. There are ten potatoes in the line.A competitor starts from the bucket, picks up the nearest potato, runs back with it, drops it in the bucket, runs back to pick up the next potato, runs to the bucket to drop it in, and she continues in the same way until all the potatoes are in the bucket. What is the total distance the competitor has to run?[Hint: to pick up the first potato and the second potato, the total distance (in metres) run by a competitor is 2 × 5 + 2 ×(5 + 3)]

Answer»

In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato and other potatoes are placed 3 m apart in a straight line. There are ten potatoes in the line.





A competitor starts from the bucket, picks up the nearest potato, runs back with it, drops it in the bucket, runs back to pick up the next potato, runs to the bucket to drop it in, and she continues in the same way until all the potatoes are in the bucket. What is the total distance the competitor has to run?



[Hint: to pick up the first potato and the second potato, the total distance (in metres) run by a competitor is 2 × 5 + 2 ×(5 + 3)]

9.

59 C-Cl > c-f>c-br>c-i this is the order of dipole moment. why it is showing this order ? c-i should have high dipole.moment .?

Answer» 59 C-Cl > c-f>c-br>c-i this is the order of dipole moment. why it is showing this order ? c-i should have high dipole.moment .?
10.

Help John calculate the following sum:213+323=

Answer»

Help John calculate the following sum:



213+323=

11.

Question 9 (iii) Which is greater in each of the following: −34,2−3

Answer»

Question 9 (iii)

Which is greater in each of the following:
34,23

12.

Determine the integer whose product with (-1) is -22

Answer»

Determine the integer whose product with (-1) is

-22


13.

Sonali reached home and went to the balcony and saw her car from above. With respect to the given image choose the correct option.

Answer»

Sonali reached home and went to the balcony and saw her car from above. With respect to the given image choose the correct option.


14.

When a is added to twice of b, the result is 6. Represent in the form of an equation.

Answer»

When a is added to twice of b, the result is 6.

Represent in the form of an equation.


15.

17 of 215 =_____.

Answer» 17 of 215 =_____.
16.

What is the maximum angle a protractor can measure at a time?

Answer»

What is the maximum angle a protractor can measure at a time?


17.

Identify the unit to measure the area of the surface.

Answer»

Identify the unit to measure the area of the surface.

18.

Lekha had to run 5.1 km to complete a race. If she had already completed 1500 m, how many more kilometres does she have to go?

Answer»

Lekha had to run 5.1 km to complete a race. If she had already completed 1500 m, how many more kilometres does she have to go?


19.

15.A solid weighs 50gf in air and 44gf when completely immersed in water. Calculate the volume of the solid

Answer» 15.A solid weighs 50gf in air and 44gf when completely immersed in water. Calculate the volume of the solid
20.

14. What is equivalent rational number?

Answer» 14. What is equivalent rational number?
21.

The length of a rectangular notebook is 15 cm and the perimeter is 50 cm. Find the area of the notebook in cm2.150

Answer» The length of a rectangular notebook is 15 cm and the perimeter is 50 cm. Find the area of the notebook in cm2.
  1. 150
22.

What is the angle between lone pairs of XeF4 ?180 degree or 90 degree

Answer» What is the angle between lone pairs of XeF4 ?180 degree or 90 degree
23.

The perimeter of a rectangle whose length is 10 cm and breadth is 5 cm is ___ cm.

Answer»

The perimeter of a rectangle whose length is 10 cm and breadth is 5 cm is ___ cm.


24.

In order to analyse and interpret a data set, we should _________ it first.

Answer»

In order to analyse and interpret a data set, we should _________ it first.



25.

The breadth of the rectangle is 'b' cm and the length is twice the breadth added to 4. If the length is 8 cm, then what is the perimeter of the rectangle?20

Answer» The breadth of the rectangle is 'b' cm and the length is twice the breadth added to 4. If the length is 8 cm, then what is the perimeter of the rectangle?
  1. 20
26.

Tap on the shape that has only curved lines.

Answer»

Tap on the shape that has only curved lines.

27.

See the Chapatti Chart and tell :1. How much fraction of whole circle are like to get wet in the rain?2. How many fraction of whole circle do not like to get wet in the rain?

Answer» See the Chapatti Chart and tell :





1. How much fraction of whole circle are like to get wet in the rain?

2. How many fraction of whole circle do not like to get wet in the rain?


28.

If I ask you to write down the set of whole numbers or define it. Which among the following is going to be your most appropriate choice?

Answer»

If I ask you to write down the set of whole numbers or define it. Which among the following is going to be your most appropriate choice?


29.

Solve the following using the associative property.(a) 87 + 64 + 36(b) 367 + 243 + 57(c) 63 + 82 + 8(d) 918 + 712 + 82(e) 713 + 87 + 200(f) 47 + 313 + 53

Answer» Solve the following using the associative property.

(a) 87 + 64 + 36

(b) 367 + 243 + 57

(c) 63 + 82 + 8

(d) 918 + 712 + 82

(e) 713 + 87 + 200

(f) 47 + 313 + 53
30.

The value of 5^0 x 5^3 is ___

Answer»

The value of 5^0 x 5^3 is ___



31.

Question 4: How many lines can pass through: (a) Two given points

Answer»

Question 4: How many lines can pass through:

(a) Two given points



32.

What must be subtracted from x3−3x2+5x−1 to get x3+2x2−2x+11 ?

Answer»

What must be subtracted from x33x2+5x1 to get x3+2x22x+11 ?


33.

Question 5(a) : How quickly can you do this? Fill appropriate sign (<, = , >): 12□15

Answer»

Question 5(a) :

How quickly can you do this? Fill appropriate sign (<, = , >):

1215

34.

What is the product 241×2?

Answer»

What is the product 241×2?

35.

It is found that\vert \xrightarrow[A]{}+\xrightarrow[B]{}\vert = \vert\xrightarrow[A]{}\vert. This necessarily implies(a) \xrightarrow[B]{} =0(b) \xrightarrow[A]{}, \xrightarrow[B]{} are antiparallel(c) \xrightarrow[A]{}, \xrightarrow[{}]{} are perpendicular(d) \xrightarrow[A]{} .\underset B{→≤0

Answer» It is found that\vert \xrightarrow[A]{}+\xrightarrow[B]{}\vert = \vert\xrightarrow[A]{}\vert. This necessarily implies(a) \xrightarrow[B]{} =0(b) \xrightarrow[A]{}, \xrightarrow[B]{} are antiparallel(c) \xrightarrow[A]{}, \xrightarrow[{}]{} are perpendicular(d) \xrightarrow[A]{} .\underset B{→≤0
36.

Select the images that represent the like fractions of shaded parts.

Answer»

Select the images that represent the like fractions of shaded parts.

37.

If the ratio of length and breadth of a rectangle is 5:4 and its perimeter is 180 m, then find length and breadth of the rectangle.

Answer»

If the ratio of length and breadth of a rectangle is 5:4 and its perimeter is 180 m, then find length and breadth of the rectangle.


38.

A milk society got litres of milk in the morning and litres in the evening. The society sold litres that day.(i) How many litres of milk did the society get that day?(ii) Find the remaining quantity after the sales.

Answer»

A milk society got litres of milk in the morning and litres in the evening. The society sold litres that day.



(i) How many litres of milk did the society get that day?



(ii) Find the remaining quantity after the sales.

39.

The marks obtained by Alex in mathematics, science and english are12 : 13 : 15 . If his total score in the three subjects is 930, find his score in mathematics.

Answer» The marks obtained by Alex in mathematics, science and english are


12 : 13 : 15 . If his total score in the three subjects is 930, find his score in mathematics.
40.

Question 30 The number of scouts in a school is depicted by the following pictograph: Observe the pictograph and answer the following question: (a) Which class has the minimum number of scouts? (b) Which class has the maximum number of scouts? (c) How many scouts are there in class VI? (d) Which class has exactly four times the scouts as that of class x? (e) What is the total number of scouts in the Classes VI to X

Answer»

Question 30
The number of scouts in a school is depicted by the following pictograph:

Observe the pictograph and answer the following question:
(a) Which class has the minimum number of scouts?
(b) Which class has the maximum number of scouts?
(c) How many scouts are there in class VI?
(d) Which class has exactly four times the scouts as that of class x?
(e) What is the total number of scouts in the Classes VI to X

41.

An __ bisector is equidistant from the sides of the angle when measured along a segment perpendicular to the sides of the angle.

Answer»

An __ bisector is equidistant from the sides of the angle when measured along a segment perpendicular to the sides of the angle.

42.

After clearing all the doubts, you asked everyone, 'I know why I am here but I still don't know how I am here. Will anybody tell me?' On this, one of the 2 dwarfs who looked almost alike told: 'You are on the planet of dwarfs. You are 150 light years away from home.' After listening to that, you got so surprised. 'Well, I would like to go back now', you told. But they didn't allow you to leave until you solved their problem. Then he told about his problem: We have built a tunnel and rail tracks. We have stations starting from number 1. Now, to connect the dwarfs from the opposite side, we need to build a new track. We can't use the same station names as it will create confusion. Can we use the concept of integers here? If yes, what can we do?

Answer»

After clearing all the doubts, you asked everyone, 'I know why I am here but I still don't know how I am here. Will anybody tell me?' On this, one of the 2 dwarfs who looked almost alike told: 'You are on the planet of dwarfs. You are 150 light years away from home.' After listening to that, you got so surprised. 'Well, I would like to go back now', you told. But they didn't allow you to leave until you solved their problem. Then he told about his problem: We have built a tunnel and rail tracks. We have stations starting from number 1. Now, to connect the dwarfs from the opposite side, we need to build a new track. We can't use the same station names as it will create confusion. Can we use the concept of integers here? If yes, what can we do?


43.

The number of solutions of the equation |sinx|=sin inverse(sinx) in [0,pie] is

Answer» The number of solutions of the equation |sinx|=sin inverse(sinx) in [0,pie] is
44.

Ronny sold a cycle for ₹ 3,456 with a profit of ₹ 256. His profit percentage was ______.

Answer»

Ronny sold a cycle for ₹ 3,456 with a profit of ₹ 256. His profit percentage was ______.

45.

Which of the following is the greatest negative integer?

Answer»

Which of the following is the greatest negative integer?


46.

Estimate the following product using general rule:5281 x 3491

Answer» Estimate the following product using general rule:

5281 x 3491
47.

11. find the set of values of x for which the equation (x-2)(x-4)(x-6)>0

Answer» 11. find the set of values of x for which the equation (x-2)(x-4)(x-6)>0
48.

The price of 1 kilogram of lady’s finger is 15 rupees. What s the price of kilograms?

Answer»

The price of 1 kilogram of lady’s finger is 15 rupees. What s the price of kilograms?

49.

Which of the following is the correct formula for calculating profit percent?

Answer»

Which of the following is the correct formula for calculating profit percent?


50.

Sum of areas of two squares is 468m². If the difference of their perimeter is 24m, find the sides of the two squares.

Answer» Sum of areas of two squares is 468m². If the difference of their perimeter is 24m, find the sides of the two squares.