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16351.

Question 2 (a) Find the area of the following circle, given that: radius = 14 mm (Take π=227)

Answer»

Question 2 (a)

Find the area of the following circle, given that:

radius = 14 mm (Take π=227)

16352.

What angle do you get if you bisect the angle 72∘?

Answer»

What angle do you get if you bisect the angle 72?

16353.

Prove that (cotA-cosA)(cotA+cosA)=(cosecA-1)(cosecA+1)

Answer»

Prove that (cotA-cosA)(cotA+cosA)=(cosecA-1)(cosecA+1)


16354.

(i) 37+−49−−117−79(ii) 23+−45−13−25(iii) 47−−89−−137+179

Answer»

(i) 37+4911779(ii) 23+451325(iii) 4789137+179

16355.

Read the following information and answer questions given below it: I. There is a rectangular wooden block of length 4 centimetres, height 3 centimetres and breadth 3 centimetres. II. The two opposite surfaces of 4 centimetres × 3 centimetres are painted yellow on the outside. III. The other two opposite surfaces of the 4 centimetres × 3 centimetres block are painted red on the outside. IV. The remaining two surfaces of the 3 centimetres × 3 centimetres block are painted green on the outside. V. Now, the block is cut in such a way that cubes of 1 centimetres × 1 centimetres × 1 centimetres are created. Q47. How many cubes will have all the three colours: red, yellow, and green? निम्नलिखित जानकारी पढ़ें और नीचे दिए गए प्रश्नों के जवाब दें:- I. एक लकड़ी का आयताकार ब्लॉक है जिसकी लंबाई 4 सेंटीमीटर, ऊंचाई 3 सेंटीमीटर और चौड़ाई 3 सेंटीमीटर है। II. 4 सेंटीमीटर × 3 सेंटीमीटर की दो विपरीत सतहों को बाहर से पीले रंग से पेंट किया जाता है। III. 4 सेंटीमीटर × 3 सेंटीमीटर ब्लॉक के दो विपरीत सतहों को बाहर से लाल रंग से पेंट दिया जाता है। IV. 3 सेंटीमीटर × 3 सेंटीमीटर ब्लॉक की शेष दो सतहों को बाहर से हरे रंग से रंग दिया जाता है। V. अब, ब्लॉक को इस तरह से काटा जाता है कि 1 सेंटीमीटर × 1 सेंटीमीटर × 1 सेंटीमीटर के घन बनाए जा सकें। Q47. कितने घन में तीनों रंग: लाल, पीला, और हरा होंगे?

Answer»

Read the following information and answer questions given below it:

I. There is a rectangular wooden block of length 4 centimetres, height 3 centimetres and breadth 3 centimetres.

II. The two opposite surfaces of 4 centimetres × 3 centimetres are painted yellow on the outside.

III. The other two opposite surfaces of the 4 centimetres × 3 centimetres block are painted red on the outside.

IV. The remaining two surfaces of the 3 centimetres × 3 centimetres block are painted green on the outside.

V. Now, the block is cut in such a way that cubes of 1 centimetres × 1 centimetres × 1 centimetres are created.

Q47. How many cubes will have all the three colours: red, yellow, and green?

निम्नलिखित जानकारी पढ़ें और नीचे दिए गए प्रश्नों के जवाब दें:-

I. एक लकड़ी का आयताकार ब्लॉक है जिसकी लंबाई 4 सेंटीमीटर, ऊंचाई 3 सेंटीमीटर और चौड़ाई 3 सेंटीमीटर है।

II. 4 सेंटीमीटर × 3 सेंटीमीटर की दो विपरीत सतहों को बाहर से पीले रंग से पेंट किया जाता है।

III. 4 सेंटीमीटर × 3 सेंटीमीटर ब्लॉक के दो विपरीत सतहों को बाहर से लाल रंग से पेंट दिया जाता है।

IV. 3 सेंटीमीटर × 3 सेंटीमीटर ब्लॉक की शेष दो सतहों को बाहर से हरे रंग से रंग दिया जाता है।

V. अब, ब्लॉक को इस तरह से काटा जाता है कि 1 सेंटीमीटर × 1 सेंटीमीटर × 1 सेंटीमीटर के घन बनाए जा सकें।

Q47. कितने घन में तीनों रंग: लाल, पीला, और हरा होंगे?


16356.

Simplify : 25-1/2{5+4-(3+2-1+3)}

Answer»

Simplify : 25-1/2{5+4-(3+2-1+3)}

16357.

An integer when divided by -3 gives the quotient 35 and leaves the remainder 2. What is the Integer?

Answer»

An integer when divided by -3 gives the quotient 35 and leaves the remainder 2. What is the Integer?

16358.

A person taking part in a triathlon records his average speed for the three events - running, cycling and swimming. His average speed in swimming was 18 km/h, average speed in running was 7 m/s and the average speed in cycling was 2 km/min. Based on the given information, which of the following statement(s) is/are true?

Answer»

A person taking part in a triathlon records his average speed for the three events - running, cycling and swimming. His average speed in swimming was 18 km/h, average speed in running was 7 m/s and the average speed in cycling was 2 km/min. Based on the given information, which of the following statement(s) is/are true?


16359.

Question 7(c) : Find answer to the following. Write and indicate how you solved it: Is 45 equal to 1620 ?

Answer»

Question 7(c) :

Find answer to the following. Write and indicate how you solved it:

Is 45 equal to 1620 ?

16360.

A cord of length 7112 m has been cut into 26 pieces of equal length. What is the length of each piece ?

Answer»

A cord of length 7112 m has been cut into 26 pieces of equal length. What is the length of each piece ?

16361.

Question 68 (i) If A=3x2−4x+1,B=5x2+3x−8 and C=4x2−7x+3, then find (A + B) - C

Answer»

Question 68 (i)

If A=3x24x+1,B=5x2+3x8 and C=4x27x+3, then find

(A + B) - C

16362.

Observe the rectangle given below If we have to make a square by rearranging the dots, then what is the minimum number of dots that has to added?

Answer»

Observe the rectangle given below

If we have to make a square by rearranging the dots, then what is the minimum number of dots that has to added?


16363.

The symmetries which are exhibited by the following figure are:

Answer»

The symmetries which are exhibited by the following figure are:


16364.

Question 9 (i) The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. Find: The area of the whole land.

Answer»

Question 9 (i)

The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. Find:

The area of the whole land.

16365.

Question 2(h) Solve the following equations : 34-5(p-1)=4

Answer» Question 2(h)
Solve the following equations
:
34-5(p-1)=4
16366.

A group of 80 people were asked if they liked different fruit, 38 said they liked apples, 42 like bananas, 10 of the people who liked cherries also liked bananas, 6 people like cherries and apples. Venn Diagram showing this information. How many people liked apples and bananas but did not like cherries ? How many people liked none of the fruit ? How many people liked just one of the fruit ? How many people liked at least 2 of the fruits

Answer»
  1. A group of 80 people were asked if they liked different fruit, 38 said they liked apples, 42 like bananas, 10 of the people who liked cherries also liked bananas, 6 people like cherries and apples.
  1. Venn Diagram showing this information.
  2. How many people liked apples and bananas but did not like cherries ?
  3. How many people liked none of the fruit ?
  4. How many people liked just one of the fruit ?
  5. How many people liked at least 2 of the fruits
16367.

Write these ratios in ascending order 1.25, 34 , 23 , 0.77

Answer» Write these ratios in ascending order
1.25, 34 , 23 , 0.77
16368.

Find the volume of cone of radius 7 cm and start height 14 cm

Answer» Find the volume of cone of radius 7 cm and start height 14 cm
16369.

1 quadrant has been removed from the given circle : If 8 such figures are taken and compared with 9 full circles, what would be the ratio between these figures and full circles taking them as 34 of the full circle.

Answer»

1 quadrant has been removed from the given circle :

If 8 such figures are taken and compared with 9 full circles, what would be the ratio between these figures and full circles taking them as 34 of the full circle.


16370.

3/16m=21

Answer»

3/16m=21

16371.

-13+(-69)+57-(-89)-(53+(-49))

Answer»

-13+(-69)+57-(-89)-(53+(-49))

16372.

In a lottery, person choses six different natural numbers at random from 1 to 20, and if these six numbers match with the six numbers already fixed by the lottery committee, he wins the prize. What is the probability of winning the prize in the game?

Answer»

In a lottery, person choses six different natural numbers at random from 1 to 20, and if these six numbers match with the six numbers already fixed by the lottery committee, he wins the prize. What is the probability of winning the prize in the game?

16373.

Consider a quadrilateral ABCD with AC=12 cm and BD=10 cm with the following characteristics: (i) Opposite angles are equal and parallel. (ii) All sides are equal. (iii) Diagonals bisect each other at right angles. What is the area of ABCD?

Answer»

Consider a quadrilateral ABCD with AC=12 cm and BD=10 cm with the following characteristics:
(i) Opposite angles are equal and parallel.
(ii) All sides are equal.
(iii) Diagonals bisect each other at right angles.
What is the area of ABCD?

16374.

2 tables were sold at at Rs.990 each, one at a profit of 10% and the other at a loss of 10%. What are the cost prices of each tables? In this sale, did the seller make a profit or loss? What is the percentage of ptofit or loss?

Answer» 2 tables were sold at at Rs.990 each, one at a profit of 10% and the other at a loss of 10%. What are the cost prices of each tables? In this sale, did the seller make a profit or loss? What is the percentage of ptofit or loss?
16375.

Which of the following option does not belong to the construction of circumcircle?

Answer»

Which of the following option does not belong to the construction of circumcircle?


16376.

Question 4 (iii) Which of the following can be the sides of a right angled triangle? 1.5 cm, 2 cm, 2.5cm In case of right angled triangle, identify the right angle.

Answer»

Question 4 (iii)
Which of the following can be the sides of a right angled
triangle?

1.5 cm, 2 cm, 2.5cm
In case of right angled triangle, identify the right angle.

16377.

Two triangles have equal area of 24cm2 and stand on the same base of 6 cm. If the distance PQ between their altitudes is equal to the length of one of the altitude, then the area of quadrilateral formed by the altitudes and the base PQ is equal to:___.

Answer»

Two triangles have equal area of 24cm2 and stand on the same base of 6 cm. If the distance PQ between their altitudes is equal to the length of one of the altitude, then the area of quadrilateral formed by the altitudes and the base PQ is equal to:___.

16378.

Give some examples of vertical opposite angles form your surroundings

Answer» Give some examples of vertical opposite angles form your surroundings
16379.

The mean weight of a class of 20 students is 48 kg. Two more students weighing 60 kg and 58 kg respectively join the class. What is the mean weight of the class now?

Answer» The mean weight of a class of 20 students is 48 kg. Two more students weighing 60 kg and 58 kg respectively join the class. What is the mean weight of the class now?
16380.

A number 24000 is increased successively by 15% and 20%. Find the new number.

Answer»

A number 24000 is increased successively by 15% and 20%. Find the new number.


16381.

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is___.

Answer»

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is___.

16382.

A circle is inscribed in a square of side 14 cm such that the circle touches each side of the square. Find the remaining area.( Use π=3.14)

Answer»

A circle is inscribed in a square of side 14 cm such that the circle touches each side of the square. Find the remaining area.( Use π=3.14)


16383.

The side of a square-shaped mirror is y units. How much rubber sheet is required to cover all its four sides?

Answer»

The side of a square-shaped mirror is y units. How much rubber sheet is required to cover all its four sides?


16384.

If →A=2^i−3^j and →B=−4^i+2^j, then |→A.→B|= ___

Answer»

If A=2^i3^j and B=4^i+2^j, then |A.B|= ___

16385.

A certain amount has been divided into two parts in the ratio 4:7 if the first part is rs 600 find a) the second part b) total amount

Answer»

A certain amount has been divided into two parts in the ratio 4:7 if the first part is rs 600 find a) the second part b) total amount

16386.

Rohit takes 2 hours to reach the airport travelling at the speed of 40 km/h. How fast should he drive the car to reach the airport in 80 min? [2 MARKS]

Answer»

Rohit takes 2 hours to reach the airport travelling at the speed of 40 km/h. How fast should he drive the car to reach the airport in 80 min? [2 MARKS]

16387.

anbn= _____

Answer» anbn= _____
16388.

Two rectangular plots of length 40 m and width 20 m are as shown below. What is the cost of fencing the plots (excluding the common boundary) at ₹ 4 per metre?

Answer»

Two rectangular plots of length 40 m and width 20 m are as shown below.


What is the cost of fencing the plots (excluding the common boundary) at ₹ 4 per metre?


16389.

What is the product of (a+b) and 7a2b2?

Answer»

What is the product of (a+b) and 7a2b2?


16390.

Which of the following is an example of primary data?

Answer»

Which of the following is an example of primary data?


16391.

Read the following information and answer questions given below it: I. There is a rectangular wooden block of length 4 centimetres, height 3 centimetres and breadth 3 centimetres. II. The two opposite surfaces of 4 centimetres × 3 centimetres are painted yellow on the outside. III. The other two opposite surfaces of the 4 centimetres × 3 centimetres block are painted red on the outside. IV. The remaining two surfaces of the 3 centimetres × 3 centimetres block are painted green on the outside. V. Now, the block is cut in such a way that cubes of 1 centimetres × 1 centimetres × 1 centimetres are created. Q48. How many cubes will have exactly two colours? निम्नलिखित जानकारी पढ़ें और नीचे दिए गए प्रश्नों के जवाब दें:- I. एक लकड़ी का आयताकार ब्लॉक है जिसकी लंबाई 4 सेंटीमीटर, ऊंचाई 3 सेंटीमीटर और चौड़ाई 3 सेंटीमीटर है। II. 4 सेंटीमीटर × 3 सेंटीमीटर की दो विपरीत सतहों को बाहर से पीले रंग से पेंट किया जाता है। III. 4 सेंटीमीटर × 3 सेंटीमीटर ब्लॉक के दो विपरीत सतहों को बाहर से लाल रंग से पेंट दिया जाता है। IV. 3 सेंटीमीटर × 3 सेंटीमीटर ब्लॉक की शेष दो सतहों को बाहर से हरे रंग से रंग दिया जाता है। V. अब, ब्लॉक को इस तरह से काटा जाता है कि 1 सेंटीमीटर × 1 सेंटीमीटर × 1 सेंटीमीटर के घन बनाए जा सकें। Q48. कितने घन के दो रंग होंगे?

Answer»

Read the following information and answer questions given below it:

I. There is a rectangular wooden block of length 4 centimetres, height 3 centimetres and breadth 3 centimetres.

II. The two opposite surfaces of 4 centimetres × 3 centimetres are painted yellow on the outside.

III. The other two opposite surfaces of the 4 centimetres × 3 centimetres block are painted red on the outside.

IV. The remaining two surfaces of the 3 centimetres × 3 centimetres block are painted green on the outside.

V. Now, the block is cut in such a way that cubes of 1 centimetres × 1 centimetres × 1 centimetres are created.

Q48. How many cubes will have exactly two colours?

निम्नलिखित जानकारी पढ़ें और नीचे दिए गए प्रश्नों के जवाब दें:-

I. एक लकड़ी का आयताकार ब्लॉक है जिसकी लंबाई 4 सेंटीमीटर, ऊंचाई 3 सेंटीमीटर और चौड़ाई 3 सेंटीमीटर है।

II. 4 सेंटीमीटर × 3 सेंटीमीटर की दो विपरीत सतहों को बाहर से पीले रंग से पेंट किया जाता है।

III. 4 सेंटीमीटर × 3 सेंटीमीटर ब्लॉक के दो विपरीत सतहों को बाहर से लाल रंग से पेंट दिया जाता है।

IV. 3 सेंटीमीटर × 3 सेंटीमीटर ब्लॉक की शेष दो सतहों को बाहर से हरे रंग से रंग दिया जाता है।

V. अब, ब्लॉक को इस तरह से काटा जाता है कि 1 सेंटीमीटर × 1 सेंटीमीटर × 1 सेंटीमीटर के घन बनाए जा सकें।

Q48. कितने घन के दो रंग होंगे?


16392.

In the following figure, the area of the total cloth required is 80 cm2 and the area of the yellow cloth required is 60 cm2. If the red coloured parts are congruent with each other and the blue cloth is 110th of the yellow cloth, what is the area of the red cloth required?

Answer»

In the following figure, the area of the total cloth required is 80 cm2 and the area of the yellow cloth required is 60 cm2. If the red coloured parts are congruent with each other and the blue cloth is 110th of the yellow cloth, what is the area of the red cloth required?


16393.

In a class test containing 10 questions, 3 marks are awarded for every correct answer, (-1) mark is awarded for every incorrect answer and 0 for the questions not attempted. Srinu gets two correct and six incorrect answers out of eight questions he attempted. What is his total score?

Answer»

In a class test containing 10 questions, 3 marks are awarded for every correct answer, (-1) mark is awarded for every incorrect answer and 0 for the questions not attempted. Srinu gets two correct and six incorrect answers out of eight questions he attempted. What is his total score?


16394.

Which of the following is an example of obtuse angle ?

Answer»

Which of the following is an example of obtuse angle ?

16395.

34÷98 =

Answer» 34÷98 =
16396.

A rectangular flag has length to width ratio as 3 : 2. If the perimeter of the flag is 40 cm, the length of the flag is ___

Answer»

A rectangular flag has length to width ratio as 3 : 2. If the perimeter of the flag is 40 cm, the length of the flag is ___


16397.

?, 125, 120, 127, 116, 129

Answer»

?, 125, 120, 127, 116, 129


16398.

Q37. There are 5 letters and 5 directed envelopes. What is the probability that exactly one letter is placed in the wrong envelope? 5 पत्र और उनके लिए 5 निर्दिष्ट लिफाफे है। ठीक किसी एक पत्र को गलत लिफाफे में रखे जाने की प्रायिकता बताएं?

Answer»

Q37. There are 5 letters and 5 directed envelopes. What is the probability that exactly one letter is placed in the wrong envelope?

5 पत्र और उनके लिए 5 निर्दिष्ट लिफाफे है। ठीक किसी एक पत्र को गलत लिफाफे में रखे जाने की प्रायिकता बताएं?


16399.

What is the measure of the central angle in a pie chart?

Answer»

What is the measure of the central angle in a pie chart?


16400.

Sort the following numbers in increasing order from top to bottom.

Answer»

Sort the following numbers in increasing order from top to bottom.