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14301.

The circumference of a circle whose radius is 3.5 cm is ________ cm. 22

Answer»

The circumference of a circle whose radius is 3.5 cm is ________ cm.

  1. 22
14302.

Choose the pair of co-prime numbers.

Answer»

Choose the pair of co-prime numbers.


14303.

The number of boys and girls in a class are in the ratio 8 : 7. The number of boys is 15 more than the number of girls. What is the total class strength? [2 MARKS]

Answer»

The number of boys and girls in a class are in the ratio 8 : 7. The number of boys is 15 more than the number of girls. What is the total class strength? [2 MARKS]

14304.

Suppose two lines are given.How many transversal can you draw for these lines?

Answer» Suppose two lines are given.How many transversal can you draw for these lines?
14305.

The circumference of a circle whose radius is 3.5 cm is ___ cm

Answer»

The circumference of a circle whose radius is 3.5 cm is ___ cm

14306.

Draw the perpendicular bisector of a line segment of length 8 cm. [2 MARKS]

Answer»

Draw the perpendicular bisector of a line segment of length 8 cm.
[2 MARKS]

14307.

Consider a rectangle of length 12 cm and breadth 2 cm.Then the perimeter of this rectangle is

Answer»

Consider a rectangle of length 12 cm and breadth 2 cm.Then the perimeter of this rectangle is


14308.

Question 58 (g) Subtract: x3y2+3x2y2−7xy3 from x4+y4+3x2y2−xy3.

Answer»

Question 58 (g)

Subtract:

x3y2+3x2y27xy3 from x4+y4+3x2y2xy3.

14309.

The value of √484 is equal to

Answer»

The value of 484 is equal to


14310.

Question 5 (iv) An organization selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below: Monthly income(inRs)Vehicles per family012Above 2Less than 7000101602507000−10000030527210000−13000153529113000−160002469592516000 or more15798288 Suppose a family is chosen, find the probability that the family chosen is (iv) earning Rs 13000-16000 per month and owning more than 2 vehicles.

Answer» Question 5 (iv)
An organization selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below:
Monthly income(inRs)Vehicles per family012Above 2Less than 70001016025070001000003052721000013000153529113000160002469592516000 or more15798288
Suppose a family is chosen, find the probability that the family chosen is
(iv) earning Rs 13000-16000 per month and owning more than 2 vehicles.
14311.

BagChocolates112219318422511 5 bags had some amount of chocolates in them, as shown in the table. The probability of occurrence of more than 18 chocolates in a bag if a bag is chosen at random will be ___

Answer»

BagChocolates112219318422511

5 bags had some amount of chocolates in them, as shown in the table. The probability of occurrence of more than 18 chocolates in a bag if a bag is chosen at random will be ___

14312.

Express the ratio 45:60 in its simplest form.

Answer»

Express the ratio 45:60 in its simplest form.


14313.

Write cubes of 4 natural numbers which are of the form 3n + 1 (e.g. 4, 7, 10, .........) and verify the following: 'The cube of a natural number of the form 3n + 1 is a natural number of the same form'. [4 MARKS]

Answer» Write cubes of 4 natural numbers which are of the form 3n + 1 (e.g.

4, 7, 10, .........) and verify the following: 'The cube of a natural

number of the form 3n + 1 is a natural number of the same form'. [4 MARKS]
14314.

The value of 24×26 is

Answer» The value of 24×26 is
14315.

Rahul scored 10 marks in math, -5 marks in science. Find his total marks in math and science.

Answer»

Rahul scored 10 marks in math, -5 marks in science. Find his total marks in math and science.


14316.

Observe the graph and answer: Who won the election?

Answer»

Observe the graph and answer:

Who won the election?


14317.

Properties of multiplication of integersRepresentation1).Distributive Propertya). a×b=b×a2).Commutative Propertyb). a×(b×c)=(a×b)×c3).Associative Propertyc). a×(b+c)=(a×b)+(a×c) Pick the option which shows the correct match.

Answer»

Properties of multiplication of integersRepresentation1).Distributive Propertya). a×b=b×a2).Commutative Propertyb). a×(b×c)=(a×b)×c3).Associative Propertyc). a×(b+c)=(a×b)+(a×c)

Pick the option which shows the correct match.


14318.

The ratio of the circumference of a circle to its ____ is π.

Answer»

The ratio of the circumference of a circle to its ____ is π.


14319.

2.34 × 10-6 can be written in the usual form as

Answer»

2.34 × 10-6 can be written in the usual form as


14320.

Question 5 (ii) In the given figure, the arms of two angles are parallel. If ΔABC=70∘, then find: ∠DEF

Answer»

Question 5 (ii)
In the given figure, the arms of two angles are parallel. If ΔABC=70, then find: DEF

14321.

Under which of the following operations, are the rational numbers not closed?

Answer» Under which of the following operations, are the rational numbers not closed?
14322.

OX bisects ∠AOB. C is any point on OX. if CD⊥OA and CE⊥OB, then which of the following is true ?

Answer»

OX bisects AOB. C is any point on OX. if CDOA and CEOB, then which of the following is true ?


14323.

The temperature at Delhi was 36oC, Kolkata was at 24oC, Bangalore was at 20oC. Patna, on the other hand, was at 2oC, Shillong at -2oC and Srinagar was at 0oC. Which city is the coolest?

Answer»

The temperature at Delhi was 36oC, Kolkata was at 24oC, Bangalore was at 20oC. Patna, on the other hand, was at 2oC, Shillong at -2oC and Srinagar was at 0oC. Which city is the coolest?


14324.

Question 13 (iv) If two adjacent angles are supplementary, they form a ___

Answer»

Question 13 (iv)
If two adjacent angles are supplementary, they form a
___

14325.

The value of 3√212+3√64 is

Answer»

The value of 3212+364 is

14326.

In an isosceles triangle, if the vertex angle is twice the sum of the base angles, then the angles of the triangle are

Answer»

In an isosceles triangle, if the vertex angle is twice the sum of the base angles, then the angles of the triangle are


14327.

((2)2)2× (33 ÷42) ÷ 32 is equal to

Answer»

((2)2)2× (33 ÷42) ÷ 32 is equal to


14328.

Statement 1: Product of two integers with same signs is always a positive integer. Statement 2: Product of two integers with different signs is always a positive integer.

Answer»

Statement 1: Product of two integers with same signs is always a positive integer.

Statement 2: Product of two integers with different signs is always a positive integer.


14329.

Aju borrowed Rs. 10000 from Shubh at the rate of 10% per annum for 3 years. What is the interest that has to be paid by Aju?

Answer»

Aju borrowed Rs. 10000 from Shubh at the rate of 10% per annum for 3 years. What is the interest that has to be paid by Aju?


14330.

Find the difference between the median and the mode of the following data set: 1 6 45 4 33 12 19 6 56 25 13 9

Answer»

Find the difference between the median and the mode of the following data set:

1 6 45 4 33 12 19 6 56 25 13 9


14331.

Question 128 By what numbers should we multiply −1520 so that the product may be −57?

Answer» Question 128
By what numbers should we multiply 1520 so that the product may be 57?
14332.

0.0000837=8.37× .

Answer» 0.0000837=8.37× .
14333.

(a) Find x for 4x+10=20 (b) Set up an equation in the following case: Irfan says that he has 7 marbles more than five times the marbles Parmeet has. Irfan has 37 marbles. (Take 'm' to be the number of Parmeet’s marbles.) [2 MARKS]

Answer»

(a) Find x for 4x+10=20

(b) Set up an equation in the following case:
Irfan says that he has 7 marbles more than five times the marbles Parmeet has. Irfan has 37 marbles. (Take 'm' to be the number of Parmeet’s marbles.) [2 MARKS]

14334.

Simplify 514 + 623

Answer»

Simplify 514 + 623


14335.

In the given figure, ABCD is a kite with AC and BD as diagonals and ∠ABC = 30∘. Find x.

Answer»

In the given figure, ABCD is a kite with AC and BD as diagonals and ABC = 30. Find x.


14336.

A certain number of men can finish a piece of work in 100 days. If how ever, there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally ? [4 MARKS]

Answer» A certain number of men can finish a piece of work in 100 days. If how ever, there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally ? [4 MARKS]
14337.

The train is moving at a uniform speed of 80 kmph. How far will it go in 15 minutes?

Answer»

The train is moving at a uniform speed of 80 kmph. How far will it go in 15 minutes?


14338.

A train-K whose length is 200 m, passes a train-B (which is not moving) of 400 m long in 15 s. Find the speed of the train-K.

Answer»

A train-K whose length is 200 m, passes a train-B (which is not moving) of 400 m long in 15 s. Find the speed of the train-K.


14339.

108 km/h =___ m/s

Answer»

108 km/h =___ m/s


14340.

What is the probability of drawing the black slice of the pizza? [2 MARKS]

Answer»

What is the probability of drawing the black slice of the pizza? [2 MARKS]

14341.

Express 3460 grams in kilograms. Now express 1712 kg in grams. [2 MARKS]

Answer»

Express 3460 grams in kilograms.

Now express 1712 kg in grams. [2 MARKS]

14342.

Question 86 (i) Find the reciprocal of the following: (12×14)+(12×6)

Answer»

Question 86 (i)

Find the reciprocal of the following:
(12×14)+(12×6)

14343.

Question 31 Fill in the blanks to make the statement true. In natural numbers, x - 5 = - 5 has ............... solution.

Answer»

Question 31

Fill in the blanks to make the statement true.

In natural numbers, x - 5 = - 5 has ............... solution.

14344.

The product of two numbers is −49.If one of them is−227,find the other.

Answer»

The product of two numbers is 49.If one of them is227,find the other.

14345.

Which is the longest side in the triangle PQR, right - angled at P?

Answer»

Which is the longest side in the triangle PQR, right - angled at P?

14346.

X tells you that his capital on 31st December 2016 is Rs 1,87,000 and his capital on 1st January 2016 was Rs 1,92,000. He further informs you that during the year, he gave a loan of Rs 35,000 to his brother on private account and withdrew Rs 3,000 per month for personal purposes, he also used a flat for his personal purposes, the rent of which at the rate of Rs 1,000 per month and electricity charges at an average rate of Rs 100 per month were paid from the business acount. During the year , he sold his 7% government bonds of Rs 20,000 at 2% premium and brought that money into the business. Besides this , there is no other information. You are required to prepare a statement of profit.

Answer»

X tells you that his capital on 31st December 2016 is Rs 1,87,000 and his capital on 1st January 2016 was Rs 1,92,000. He further informs you that during the year, he gave a loan of Rs 35,000 to his brother on private account and withdrew Rs 3,000 per month for personal purposes, he also used a flat for his personal purposes, the rent of which at the rate of Rs 1,000 per month and electricity charges at an average rate of Rs 100 per month were paid from the business acount. During the year , he sold his 7% government bonds of Rs 20,000 at 2% premium and brought that money into the business. Besides this , there is no other information.

You are required to prepare a statement of profit.

14347.

Identify the noun which is singled out through the comparison. The _______ in this class are smarter than the boys.

Answer»

Identify the noun which is singled out through the comparison.
The _______ in this class are smarter than the boys.


14348.

Question 69(ii) Given below are heights of 15 boys of a class measured in centimetres: 128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154. Find the height of the shortest boy

Answer» Question 69(ii)
Given below are heights of 15 boys of a class measured in centimetres:
128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154.
Find the height of the shortest boy
14349.

Cost of 6 kg of wheat is Rs 72. a) What will be the cost of 8 kg of wheat? b) What quantity of wheat can be purchased in Rs 61?

Answer»

Cost of 6 kg of wheat is Rs 72.

a) What will be the cost of 8 kg of wheat?

b) What quantity of wheat can be purchased in Rs 61?


14350.

Anil and Ajay on 5000 and 6000 respectively and spend 4500 each and save the rest find the ratio of the income the ratio of the saving the ration of anil income to his saving

Answer» Anil and Ajay on 5000 and 6000 respectively and spend 4500 each and save the rest find the ratio of the income the ratio of the saving the ration of anil income to his saving