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851.

(4×(z+2))+(4×(2)) equals

Answer»

(4×(z+2))+(4×(2)) equals


852.

If A = {letters of the word CRICKET} and B = {letters of the word HOCKEY}, then A and B are ___.

Answer»

If A = {letters of the word CRICKET} and B = {letters of the word HOCKEY}, then A and B are ___.



853.

Solve the equation x+32=52

Answer»

Solve the equation x+32=52

854.

The table below gives the flavours of ice-cream liked by children (boy and girls) of a society. Study the table and answer the following questions: How many girls are there in all?

Answer»

The table below gives the flavours of ice-cream liked by children (boy and girls) of a society.

Study the table and answer the following questions:
How many girls are there in all?

855.

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

Answer»

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

1.5 cm, 2 cm, 2.5cm
In the case of right angled triangles, identify the right angles.

856.

Question 50In the question given below, fill in the blank to make the statement true:Area of a rectangular plot with sides 4x2 and 3y2 is ___

Answer» Question 50



In the question given below, fill in the blank to make the statement true:




Area of a rectangular plot with sides 4x2 and 3y2 is ___
857.

25. (a square)( b)+( a)(b square) - (abc)- (b square )(c) +(axy)+(bxy).

Answer» 25. (a square)( b)+( a)(b square) - (abc)- (b square )(c) +(axy)+(bxy).
858.

The equation of straight line belongs to the family of lines (4x−3y)+λ(x+2y−11)=0 and parallel to the acute angle bisector between the lines x−√3y+11=0 and 2√3x−2y+7=0 is

Answer»

The equation of straight line belongs to the family of lines (4x3y)+λ(x+2y11)=0 and parallel to the acute angle bisector between the lines x3y+11=0 and 23x2y+7=0 is

859.

In a football match, Ronaldo makes 4 goals from 10 penalty kicks. The probability of converting a penalty kick into a goal by Ronaldo is

Answer» In a football match, Ronaldo makes 4 goals from 10 penalty kicks. The probability of converting a penalty kick into a goal by Ronaldo is
860.

OnOides AB, BC and AC of AABC, equilateral triangles ABC', BCA' and CAB' are drawn.Prove that AA' = BB' = CC'.AC.If D is the mid point of the hypotenuse AC of a right angled AABC, prove that BD =DAtal trianale are equal.RA

Answer» OnOides AB, BC and AC of AABC, equilateral triangles ABC', BCA' and CAB' are drawn.Prove that AA' = BB' = CC'.AC.If D is the mid point of the hypotenuse AC of a right angled AABC, prove that BD =DAtal trianale are equal.RA
861.

Question 8(a) In a year, Seema earns Rs 1,50,000 and saves Rs 50,000. Find the ratio of: Money that Seema earns to the money she saves.

Answer»

Question 8(a)

In a year, Seema earns Rs 1,50,000 and saves Rs 50,000. Find the ratio of:

Money that Seema earns to the money she saves.

862.

A ray OC is constructed on the line segment AB such that ∠BOC is x∘. What will ∠AOC be?

Answer»

A ray OC is constructed on the line segment AB such that BOC is x.

What will AOC be?


863.

What is the ratio by which the C.P. has to be multiplied to get the S.P., if the profit is 10%?

Answer» What is the ratio by which the C.P. has to be multiplied to get the S.P., if the profit is 10%?
864.

Simplify : (x+y)3

Answer» Simplify : (x+y)3
865.

Two lines intersect at a point and a ray is drawn from the point of intersection. The ray divides the angle between the lines into 1:2 ratio. One of the angles is given, find the value of 'x'.

Answer»

Two lines intersect at a point and a ray is drawn from the point of intersection. The ray divides the angle between the lines into 1:2 ratio. One of the angles is given, find the value of 'x'.




866.

What do you understand by the following statements? (a) "We do many things, sir," Nicola answered seriously. He glanced at us hopefully. (b) He coloured deeply under his sunburn, then grew pale (c) He smiled uncomfortably. "Just plans, sir," he answered in a low voice. (d) Yet in both these boyish faces there was a seriousness which was far beyond their years.

Answer»

What do you
understand by the following statements?


(a) "We
do many things, sir," Nicola answered seriously. He glanced at
us hopefully.


(b) He
coloured deeply under his sunburn, then grew pale


(c) He
smiled uncomfortably. "Just plans, sir," he answered in a
low voice.



(d) Yet in both these boyish faces there
was a seriousness which was far beyond their years.

867.

Find average of 6.8 ,3.2, 5.7

Answer»

Find average of

6.8 ,3.2, 5.7

868.

Manu studies for 312 hours daily. He devotes 123 hours of his time to English and mathematics. How much time does he devote to other subjects? (Hint: Subtract the time spent on mathematics and English from the total time spent on studies)

Answer»

Manu studies for 312 hours daily. He devotes 123 hours of his time to English and mathematics. How much time does he devote to other subjects?



(Hint: Subtract the time spent on mathematics and English from the total time spent on studies)

869.

Solve 3-11 3+11.

Answer» Solve 3-11 3+11.
870.

Question 42(ii)At a fete, cards bearing numbers 1 to 1000, one number on one card, are put in a box. Each player selects one card at random and that card is not replaced. If the selected card has a perfect square greater than 500, the player wins a prize. What is the probability that the second player wins a prize if the first has won?

Answer»

Question 42(ii)

At a fete, cards bearing numbers 1 to 1000, one number on one card, are put in a box. Each player selects one card at random and that card is not replaced. If the selected card has a perfect square greater than 500, the player wins a prize. What is the probability that the second player wins a prize if the first has won?



871.

The News paper circulated in a town are as follows. Draw a pie chart.News paper No. of copies circulated (a) Prajavani 300 (b) Kannada Prabha 180 (c) Vijaya Karnataka 400 (d) Samyukta Karnataka 320

Answer»

The News paper circulated in a town are as follows. Draw a pie chart.




















































News paper



No. of copies circulated



(a)



Prajavani



300



(b)



Kannada Prabha



180



(c)



Vijaya Karnataka



400



(d)



Samyukta Karnataka



320


872.

Which of the following graphs represent the solution of the inequation written below: 2x−5≤5x+4<11, xϵR

Answer»

Which of the following graphs represent the solution of the inequation written below:

2x55x+4<11, xϵR


873.

Make your own magic triangle by placing from 1 to 6 in the given figure.Rule: Numbers on each side must add up to 10.

Answer» Make your own magic triangle by placing from 1 to 6 in the given figure.

Rule: Numbers on each side must add up to 10.




874.

If 5 is added to three times the product of two numbers m and n, then the expression will be _______.

Answer»

If 5 is added to three times the product of two numbers m and n, then the expression will be _______.



875.

Types of MoviesPeopleSci-fi25Comedy15Action35Romance45The given table shows the types of movies preferred by different family members of a family. What would be the angular proportion of the people preferring to watch Action movies?

Answer»






















Types of MoviesPeople
Sci-fi25
Comedy15
Action35
Romance45



The given table shows the types of movies preferred by different family members of a family. What would be the angular proportion of the people preferring to watch Action movies?


876.

D.Chadha, Delhi commenced business on 1st January, 2019. His transactions for the month are given below. Journalise them. He will close his books on 31st March each year. 2019 ₹ Jan. 1 Commenced business with Cash 25,000 Jan. 2 Opened Bank Account with cheque from his Savings Account 2,25,000 Jan. 3 Bought goods from Ramesh &amp; Co., Delhi, plus CGST and SGST 6% each 54,000 Jan. 3 Sold goods to Rajesh of ₹ 60,000, charged CGST and SGST 6% each Jan. 7 Bought goods from Rahul, Chennal, plus IGST 12% 65,000 Jan. 8 Paid wages in cash (GST not levied) 8,000 Jan. 8 Sold goods to Mahesh, Kochi of ₹ 60,000; charged IGST 12% Jan. 10 Received cheque from Rajesh (Discount allowed ₹ 1,200) 66,000 Jan. 11 Paid to Ramesh &amp; Co. (Discount received ₹ 2,700) 51,300 Jan. 12 Paid rent ₹ 15,000 per month for three months up to March, plus CGST and SGST 6% each Jan. 15 Paid office expenses in cash 700 Jan. 21 Sold to Rakesh, Delhi goods of ₹ 25,000, charged CGST and SGST 6% each Jan. 22 Paid office expenses in cash 500 Jan. 22 Paid to Rahul by cheque (discount ₹ 3,200) 61,300 Jan. 25 Received cheque from Mahesh Kochi (discount ₹ 1,500) 65,700 Jan. 27 Rakesh, Delhi returned goods (being not as per sample) 2,000 Jan. 31 Paid salaries for the month 20,000

Answer» D.Chadha, Delhi commenced business on 1st January, 2019. His transactions for the month are given below. Journalise them. He will close his books on 31st March each year.































































































2019
Jan. 1 Commenced business with Cash 25,000
Jan. 2 Opened Bank Account with cheque from his Savings Account 2,25,000
Jan. 3 Bought goods from Ramesh & Co., Delhi, plus CGST and SGST 6% each 54,000
Jan. 3 Sold goods to Rajesh of ₹ 60,000, charged CGST and SGST 6% each
Jan. 7 Bought goods from Rahul, Chennal, plus IGST 12% 65,000
Jan. 8 Paid wages in cash (GST not levied) 8,000
Jan. 8 Sold goods to Mahesh, Kochi of ₹ 60,000; charged IGST 12%
Jan. 10 Received cheque from Rajesh (Discount allowed ₹ 1,200) 66,000
Jan. 11 Paid to Ramesh & Co. (Discount received ₹ 2,700) 51,300
Jan. 12 Paid rent ₹ 15,000 per month for three months up to March, plus CGST and SGST 6% each
Jan. 15 Paid office expenses in cash 700
Jan. 21 Sold to Rakesh, Delhi goods of ₹ 25,000, charged CGST and SGST 6% each
Jan. 22 Paid office expenses in cash 500
Jan. 22 Paid to Rahul by cheque (discount ₹ 3,200) 61,300
Jan. 25 Received cheque from Mahesh Kochi (discount ₹ 1,500) 65,700
Jan. 27 Rakesh, Delhi returned goods (being not as per sample) 2,000
Jan. 31 Paid salaries for the month 20,000
877.

The distance (in km) of 40 engineers from their residence to their place of work were found as follows: 5 3 10 20 25 11 13 7 12 31 19 10 12 17 18 11 32 17 16 2 7 9 7 8 3 5 12 15 18 3 12 14 2 9 6 15 15 7 6 12.What is the empirical probability that an engineer lives:(i) less than 7 km from her place of work?(ii) more than or equal to 7 km from her place of work?(iii) within 12 km from her place of work?

Answer»

The distance (in km) of 40 engineers from their residence to their place of work were found as follows: 5 3 10 20 25 11 13 7 12 31 19 10 12 17 18 11 32 17 16 2 7 9 7 8 3 5 12 15 18 3 12 14 2 9 6 15 15 7 6 12.



What is the empirical probability that an engineer lives:



(i) less than 7 km from her place of work?



(ii) more than or equal to 7 km from her place of work?



(iii) within 12 km from her place of work?



878.

WHAT IS THE FORMULA TO FIND OUT ANY TERM FROM THE END OF AN A.P?ALSO HOW TO CALCULATE THE SUM OF n TERMS OF AN A.P FROM THE END OF THAT A.P?

Answer» WHAT IS THE FORMULA TO FIND OUT ANY TERM FROM THE END OF AN A.P?
ALSO HOW TO CALCULATE THE SUM OF n TERMS OF AN A.P FROM THE END OF THAT A.P?
879.

Question 112(ii)Simplify37×2815÷145

Answer» Question 112(ii)

Simplify

37×2815÷145
880.

811/4 × 93/2 × 27–4/3 is equal to _________.

Answer» 811/4 × 93/2 × 27–4/3 is equal to _________.
881.

Match the nets withappropriate solids: (a) (i) (b) (ii) (c) (iii) (d) (iv)

Answer»

Match the nets with
appropriate solids:

































(a)





(i)





(b)





(ii)





(c)





(iii)





(d)





(iv)




882.

In the given figure, ABCD is a rhombus. If OB = 3 units, OC = 4 units and AE = 6.4 units. Find the length of BE.

Answer»

In the given figure, ABCD is a rhombus. If OB = 3 units, OC = 4 units and AE = 6.4 units. Find the length of BE.




883.

38. How to find numerical value of vector?

Answer» 38. How to find numerical value of vector?
884.

Ram can run 3 times faster than Rahul. If Rahul's speed is 5 km/hr. Then speed of Ram is ___ km/hr.

Answer»

Ram can run 3 times faster than Rahul. If Rahul's speed is 5 km/hr. Then speed of Ram is ___ km/hr.

885.

Mark the correct alternative in the following question:The sum of a and b is multiplied by taking away 5 from their sum. The expression representing the statement is(a) (a + b)(a + b - 5) (b) (a + b)(5 - a - b) (c) (a + b)(5 - a + b) (d) (a + b)(5 + a - b)

Answer» Mark the correct alternative in the following question:



The sum of a and b is multiplied by taking away 5 from their sum. The expression representing the statement is



(a) (a + b)(a + b - 5) (b) (a + b)(5 - a - b) (c) (a + b)(5 - a + b) (d) (a + b)(5 + a - b)
886.

If P(A) and P(not A) are complementary events and P(A) = 0.15, then P(not A) = ?

Answer»

If P(A) and P(not A) are complementary events and P(A) = 0.15, then P(not A) = ?



887.

A circle of radius √7 cm is inscribed in a square. Find the area of the shaded region. (use π=227) cm2

Answer» A circle of radius 7 cm is inscribed in a square. Find the area of the shaded region. (use π=227)



cm2
888.

The mixed fraction 547 can be expressed as ______ .

Answer»

The mixed fraction 547 can be expressed as ______ .

889.

The side of a cube whose volume is 9261000 m3 is _______.

Answer»

The side of a cube whose volume is 9261000 m3 is _______.



890.

KF combines with HF to form KHF2 . The compound contains the species ?a.K+,F-,H+ b. K+,F- and HF c. K+ and \lbrack HF2\rbrack- d. \lbrack KHF\rbrack+ and F2

Answer» KF combines with HF to form KHF2 . The compound contains the species ?a.K+,F-,H+ b. K+,F- and HF c. K+ and \lbrack HF2\rbrack- d. \lbrack KHF\rbrack+ and F2
891.

Which of the following triangles are isosceles as well as obtuse-angled triangles?

Answer»

Which of the following triangles are isosceles as well as obtuse-angled triangles?


892.

साँप का ध्यान बँटाने के लिए लेखक ने क्या-क्या युक्तियाँ अपनाईं?

Answer»

साँप
का ध्यान बँटाने
के लिए लेखक ने
क्या
-क्या
युक्तियाँ
अपनाईं
?

893.

A sum of ₹ 56000 gives ₹ 280 as interest in 2 years. Find the rate of interest. If the interest rate was 11%, then find the interest in two years. [4 MARKS]

Answer» A sum of 56000 gives 280 as interest in 2 years. Find the rate of interest. If the interest rate was 11%, then find the interest in two years. [4 MARKS]
894.

What is the sum of the measures of the angles of a convex quadrilateral ? Will this property hold if the quadrilateral is not convex

Answer» What is the sum of the measures of the angles of a convex quadrilateral ?
Will this property hold if the quadrilateral is not convex
895.

Question 1 (i)In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersecteach other at O. Join A to O. Show that:OB = OC

Answer»

Question 1 (i)

In an isosceles triangle ABC, with AB = AC, the bisectors of B and C intersect

each other at O. Join A to O. Show that:

OB = OC



896.

Simplify: (a3−b3)÷(a−b)

Answer»

Simplify: (a3b3)÷(ab)

897.

A ladder on the platform of a fire brigade van can be elevated at an angle of 70° to the maximum. The length of the ladder can be extended upto 20 m. If the platform is 2m above the ground, find the maximum height from the ground upto which the ladder can reach. (sin 70° = 0.94)

Answer» A ladder on the platform of a fire brigade van can be elevated at an angle of 70° to the maximum. The length of the ladder can be extended upto 20 m. If the platform is 2m above the ground, find the maximum height from the ground upto which the ladder can reach. (sin 70° = 0.94)
898.

The probability of an event is 89. What is the probability of the complement of this event?

Answer»

The probability of an event is 89. What is the probability of the complement of this event?

899.

5 m - n= 3m + 4n then find the values of the following expressions.(i) m2+ n2m2- n2(ii) 3m + 4n3m - 4n

Answer» 5 m - n= 3m + 4n then find the values of the following expressions.



(i) m2+ n2m2- n2



(ii) 3m + 4n3m - 4n
900.

Two angles add up to give 90o. Smaller angle is 12o more than half of the bigger angle. The bigger angle is

Answer»

Two angles add up to give 90o. Smaller angle is 12o more than half of the bigger angle. The bigger angle is