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1401.

Question 3 (iii) Give four rational numbers equivalent to: 49

Answer»

Question 3 (iii)

Give four rational numbers equivalent to:
49

1402.

From the given figure : Find the sum of x, y and z.

Answer»

From the given figure :



Find the sum of x, y and z.

1403.

Which of the following shapes have more lines of symmetry than the others?

Answer»

Which of the following shapes have more lines of symmetry than the others?



1404.

Which of the following is NOT an equivalent fraction of 1218?

Answer»

Which of the following is NOT an equivalent fraction of 1218?

1405.

Observe the pattern given below. 2, 6, 10, 14, ... The algebraic expression for the nth term of the pattern is .

Answer»

Observe the pattern given below.
2, 6, 10, 14, ...
The algebraic expression for the nth term of the pattern is .

1406.

Which of the triangles whose three sides are given below can be constructed? (a) 9 m, 5 m, 3 m (b) 10 cm, 10 cm, 4 cm [4 MARKS]

Answer» Which of the triangles whose three sides are given below can be constructed?

(a) 9 m, 5 m, 3 m

(b) 10 cm, 10 cm, 4 cm [4 MARKS]
1407.

The coefficient of b in -12abc is _____.

Answer»

The coefficient of b in -12abc is _____.


1408.

Two angles are said to be adjacent if _________.

Answer»

Two angles are said to be adjacent if _________.



1409.

Write a program to repeat the string ''GOOD MORNING'' n times. Here 'n' is an integer entered by the user.

Answer» Write a program to repeat the string ''GOOD MORNING'' n times. Here 'n' is an integer entered by the user.
1410.

Question 64 8×106+2×104+5×102+9×100=8020509

Answer»

Question 64

8×106+2×104+5×102+9×100=8020509

1411.

(a) Find the value of angles 2,3,4 if the value of angle 1 is 45. [4 MARKS] (b) The supplementary angle of which angle is the complementary angle of 70∘?

Answer»

(a) Find the value of angles 2,3,4 if the value of angle 1 is 45. [4 MARKS]


(b) The supplementary angle of which angle is the complementary angle of 70?

1412.

Find the area of an obtuse angle triangle ABC as shown in the figure.

Answer»

Find the area of an obtuse angle triangle ABC as shown in the figure.


1413.

Question 6 A certain freezing process requires that room temperature be lowered from 40∘C at the rate of 5∘C every hour. What will be the room temperature 10 hours after the process begins?

Answer» Question 6
A certain freezing process requires that room temperature be lowered from 40C at the rate of 5C every hour. What will be the room temperature 10 hours after the process begins?
1414.

In the given figure, ∠B < 90° and segment AD ⊥ BC, show that(i) b2=h2+a2+x2-2ax(ii) b2=a2+c2-2 ax

Answer» In the given figure, ∠B < 90° and segment AD ⊥ BC, show that



(i) b2=h2+a2+x2-2ax

(ii) b2=a2+c2-2 ax
1415.

Fill In the Blanks The mean of a set of 12 observations is 10 and another set of 8 observations is 12. The mean of all 20 observations is _______.

Answer» Fill In the Blanks



The mean of a set of 12 observations is 10 and another set of 8 observations is 12. The mean of all 20 observations is _______.
1416.

There are six boxes of pens having 14 pens in each box. Is it possible to distribute the pens among 4 brothers evenly? Answer in Yes/ No.

Answer» There are six boxes of pens having 14 pens in each box. Is it possible to distribute the pens among 4 brothers evenly? Answer in Yes/ No.








1417.

Question 107Write 0.000005678 in the standard form.

Answer»

Question 107



Write 0.000005678 in the standard form.



1418.

A's weight is 50 kg more than that of B.The ratio of A's weight to B's weight is . (Assume B's weight as x)

Answer»

A's weight is 50 kg more than that of B.The ratio of A's weight to B's weight is . (Assume B's weight as x)

1419.

A piece of work is completed by 9 men. If only 3 men work together, what amount of the same work would be done in the same time?

Answer»

A piece of work is completed by 9 men. If only 3 men work together, what amount of the same work would be done in the same time?


1420.

A shopkeeper had a profit of ₹ 50 on Monday, a loss of ₹ 20 on Tuesday and a loss of ₹ 18 on Wednesday .Find his net profit or loss in these three days.

Answer» A shopkeeper had a profit of ₹ 50 on Monday, a loss of ₹ 20 on Tuesday and a loss of ₹ 18 on Wednesday .

Find his net profit or loss in these three days.


1421.

24. Suppose 2 kg of sugar contains 90000000(convert in standard form) crystals . How many sugar crystals are there in (1)5kg of sugar? And (2) 1.2 kg of sugar?

Answer» 24. Suppose 2 kg of sugar contains 90000000(convert in standard form) crystals . How many sugar crystals are there in (1)5kg of sugar? And (2) 1.2 kg of sugar?
1422.

Question 1 Four options are given, out of which only one is correct. Choose the correct one. The sides of a triangle have lengths (in cm) 10, 6.5 and a, where a is a whole number. The minimum value that a can take is (a) 6 (b) 5 (c) 3 (d) 4

Answer»

Question 1

Four options are given, out of which only one is correct. Choose the correct one.

The sides of a triangle have lengths (in cm) 10, 6.5 and a, where a is a whole number. The minimum value that a can take is

(a) 6
(b) 5
(c) 3
(d) 4

1423.

Which of the following Rational number is in standard form?

Answer»

Which of the following Rational number is in standard form?


1424.

Subtract a positive integer,we move to the ________ Eg.2-9= Move nine steps left of _________

Answer»

Subtract a positive integer,we move to the ________

Eg.2-9=

Move nine steps left of _________

1425.

The order of the rotational symmetry for the following figure is :

Answer»

The order of the rotational symmetry for the following figure is :


1426.

Which of the following has the least e/m ratio? 1. H+ 2. He2+ 3. He+ 4. Li3+

Answer» Which of the following has the least e/m ratio?
1. H+ 2. He2+ 3. He+ 4. Li3+
1427.

One of the angles of a triangle is 130∘, and the other two angles are equal. What is the measure of each of these equal angles?

Answer»

One of the angles of a triangle is 130, and the other two angles are equal. What is the measure of each of these equal angles?

1428.

Question 21 From the given figure, the value of x is a) 75∘ b) 90∘ c) 120∘ d) 60∘

Answer»

Question 21

From the given figure, the value of x is

a) 75
b) 90
c) 120
d) 60

1429.

A number ‘n’ is first increased by 25% and then it is decreased by 20%. What is the net percentage change in the value of n?

Answer» A number ‘n’ is first increased by 25% and then it is decreased by 20%. What is the net percentage change in the value of n?
1430.

In a right triangle, the hypotenuse is 6 m more than twice the shortest side. If the third side is 2 m less than the hypotenuse, then the length of the hypotenuse is [in m]

Answer»

In a right triangle, the hypotenuse is 6 m more than twice the shortest side. If the third side is 2 m less than the hypotenuse, then the length of the hypotenuse is [in m]


1431.

A company earns a profit of rupees 9 per bag of white cement and a loss of rupees 5 per bag of Grey cement sold (I) The company sells 7000 bags of white cement and 6000 bags of Grey Cement in a month. what is the profit or loss (II) what is the number of white cement bags it must sell to have neither profit nor loss if the number of Grey bags sold is 5400

Answer»

A company earns a profit of rupees 9 per bag of white cement and a loss of rupees 5 per bag of Grey cement sold

(I) The company sells 7000 bags of white cement and 6000 bags of Grey Cement in a month. what is the profit or loss

(II) what is the number of white cement bags it must sell to have neither profit nor loss if the number of Grey bags sold is 5400

1432.

Product of two integers can be

Answer»

Product of two integers can be


1433.

Which of the following algebraic expression is the correct representation of the following expession? 3 divided by z is added to the product of x and y.

Answer»

Which of the following algebraic expression is the correct representation of the following expession?
3 divided by z is added to the product of x and y.

1434.

What should be subtracted from 0.4 to get 0.08?

Answer» What should be subtracted from 0.4 to get 0.08?
1435.

Trial Balance of Chatter Sen on 31st March, 2019 revealed the following balances: Debit Balances: ₹ Debit Balances (Contd.): ₹ Plant and Machinery 90,000 Rent 2,000 Purchases 58,000 Advertisement 2,000 Sales Return 1,000 Cash at Bank 6,900 Opening Stock 40,000 Credit Balances: Discount Allowed 350 Capital A/c 1,10,000 Bank Charges 75 Sales 1,27,000 Sundry Debtors 45,000 Purchases Return 1,275 Salaries 6,800 Discount Received 800 Wages 10,000 Loan 5,000 Freight In 750 Sundry Creditors 20,000 Freight Out 1,200 Stock on 31st March, 2019 was valued at ₹ 35,000.Prepare Trading and Profit and Loss Account for the year ended 31st March, 2019 and Balance Sheet as at the date.

Answer» Trial Balance of Chatter Sen on 31st March, 2019 revealed the following balances:













































































Debit Balances:

Debit Balances (Contd.):

Plant and Machinery
90,000

Rent
2,000

Purchases
58,000

Advertisement
2,000

Sales Return
1,000

Cash at Bank
6,900

Opening Stock
40,000

Credit Balances:
Discount Allowed
350

Capital A/c
1,10,000

Bank Charges
75

Sales
1,27,000

Sundry Debtors
45,000

Purchases Return
1,275

Salaries
6,800

Discount Received
800

Wages
10,000

Loan
5,000

Freight In
750

Sundry Creditors
20,000

Freight Out
1,200




Stock on 31st March, 2019 was valued at ₹ 35,000.

Prepare Trading and Profit and Loss Account for the year ended 31st March, 2019 and Balance Sheet as at the date.
1436.

Solve the following problems.A farmer borrowed a sum of Rs. 10,000 as loan from a co-operative society at 8% p.a simple interest. The government exempted 2% interest as famine relief. He returned the loan after 5 years. How much interest did he save?

Answer»

Solve the following problems.



A farmer borrowed a sum of Rs. 10,000 as loan from a co-operative society at 8% p.a simple interest. The government exempted 2% interest as famine relief. He returned the loan after 5 years. How much interest did he save?

1437.

Question 1If two lines intersect, prove that the vertically opposite angles are equal.

Answer» Question 1

If two lines intersect, prove that the vertically opposite angles are equal.

1438.

The number of 3-digit even numbers that can be formed from the digits 1,2,3,4,5,6, if the digits can be repeated is

Answer»

The number of 3-digit even numbers that can be formed from the digits 1,2,3,4,5,6, if the digits can be repeated is

1439.

85. A particle originally at rest at the highest point of a smooth vertical circle of radius R is slightly displaced. It will leave the circle at a vertical distance h below the highest point so the relation between h and R is.

Answer» 85. A particle originally at rest at the highest point of a smooth vertical circle of radius R is slightly displaced. It will leave the circle at a vertical distance h below the highest point so the relation between h and R is.
1440.

Choose the option that correctly represents the shaded region as a fraction, decimal and percentage.

Answer»


Choose the option that correctly represents the shaded region as a fraction, decimal and percentage.



1441.

Choose options that have both line symmetry and rotational symmetry.

Answer»

Choose options that have both line symmetry and rotational symmetry.


1442.

Which of the following should be the FIRST sentence after rearrangement?

Answer»

Which of the following should be the FIRST sentence after rearrangement?


1443.

In the given figure, if AB,EF &amp; CD are parallel to each other, then ∠CZX is:

Answer» In the given figure, if AB,EF & CD are parallel to each other, then CZX is:
1444.

Which of the following should be the FOURTH sentence after rearrangement?

Answer»

Which of the following should be the FOURTH sentence after rearrangement?


1445.

Find the area of the triangles if ΔABC ≅ΔDEF.

Answer»

Find the area of the triangles if ΔABC ΔDEF.



1446.

In the given figure, AD = BC. What is the length of AB if DC = 4 cm?

Answer»

In the given figure, AD = BC. What is the length of AB if DC = 4 cm?




1447.

Question 86 (xx)Using suitable identities, evaluate the following:(339)2−(161)2

Answer»

Question 86 (xx)



Using suitable identities, evaluate the following:



(339)2(161)2



1448.

Question 3 (b) In the following figures, the mirror line (i.e the line of symmetry) is given as a dotted line. Complete each figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?

Answer» Question 3 (b)
In the following figures, the mirror line (i.e the line of symmetry) is given as a dotted line. Complete each figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?
1449.

A square sheet of side 5 cm is cut out from a rectangular piece of an aluminimum sheet of length 9 cm and breadth 6 cm. What is the area of the aluminium sheet left over?

Answer» A square sheet of side 5 cm is cut out from a rectangular piece of an aluminimum sheet of length 9 cm and breadth 6 cm. What is the area of the aluminium sheet left over?
1450.

Burst the angles that can be drawn using set squares?

Answer»

Burst the angles that can be drawn using set squares?