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6701.

Find the value of (76)2 by visualizing the identity (a+b)2=a2+2ab+b2.

Answer»

Find the value of (76)2 by visualizing the identity (a+b)2=a2+2ab+b2.

6702.

What will be the area of a rectangle whose length is 0.5m - 0.5n and height is 2(m + n)?

Answer»

What will be the area of a rectangle whose length is 0.5m - 0.5n and height is 2(m + n)?

6703.

In the figure, find ∠COE ?

Answer»

In the figure, find COE ?


6704.

Is it possible to construct a rhombus AJUN with AU = 24 cm and JN = 10 cm? If yes, what is the length of the side of the rhombus?

Answer»

Is it possible to construct a rhombus AJUN with AU = 24 cm and JN = 10 cm? If yes, what is the length of the side of the rhombus?



6705.

A VCR and TV were bought for Rs 8,000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss percent on the whole transaction.

Answer»

A VCR and TV were bought for Rs 8,000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss percent on the whole transaction.

6706.

If one side of a regular octagon is 3 cm, find the perimeter of the octagon.

Answer»

If one side of a regular octagon is 3 cm, find the perimeter of the octagon.

6707.

a storage tank is to be made from a metal sheet of metal 9 meters square by cutting a square side x meters from each corner and bending up the sides .what is the maximum volume of the tank if the height of the order ank must not exceed 3 meters​

Answer» a storage tank is to be made from a metal sheet of metal 9 meters square by cutting a square side x meters from each corner and bending up the sides .what is the maximum volume of the tank if the height of the order ank must not exceed 3 meters​
6708.

The histogram below shows the marks obtained by students in Mathematics. In class intervals ________________ and ________________ , the number of students are equal.

Answer»

The histogram below shows the marks obtained by students in Mathematics.




In class intervals ________________ and ________________ , the number of students are equal.



6709.

A batch of bottles were packed in 25 boxes with 12 boxes in each box. If the same batch is packing using: (A) 15 bottles in each box then, how many boxes could be fitted. (b) 10 boxes, how many bottles will be there in each box.

Answer» A batch of bottles were packed in 25 boxes with 12 boxes in each box. If the same batch is packing using:
(A) 15 bottles in each box then, how many boxes could be fitted.
(b) 10 boxes, how many bottles will be there in each box.
6710.

ABCD is a cyclic trapezium with AB || CD. If ∠B = 45°, then find other three angles of the trapezium.

Answer» ABCD is a cyclic trapezium with AB || CD. If ∠B = 45°, then find other three angles of the trapezium.
6711.

Question 11.If you toss a coin 6 times and it comes down heads on each occasion. Can you say that the probability of getting a head is 1 ? Given reasons.

Answer» Question 11.

If you toss a coin 6 times and it comes down heads on each occasion. Can you say that the probability of getting a head is 1 ? Given reasons.
6712.

If the figure "ABCD" is a parallelogram. Find the values of x and y.

Answer»

If the figure "ABCD" is a parallelogram. Find the values of x and y.





6713.

A rectangular box having length, breadth and height as (a+b+c),(a2+b2) and (2a+2b+2c) respectively. Find the volume of the box. [4 MARKS]

Answer»

A rectangular box having length, breadth and height as (a+b+c),(a2+b2) and (2a+2b+2c) respectively. Find the volume of the box. [4 MARKS]

6714.

Question 46Answer True/False.2x - 5 > 11 is an equation.

Answer»

Question 46



Answer True/False.



2x - 5 > 11 is an equation.





6715.

If a ray OC stands on AB such that angle AOC = angle COB , then show that angle Aoc=90*

Answer» If a ray OC stands on AB such that angle AOC = angle COB , then show that angle Aoc=90*
6716.

A 3×3 Rubik's cube has a total surface area of 54 cm2. The area occupied by every single red tile of the cube is ___________ .

Answer»

A 3×3 Rubik's cube has a total surface area of 54 cm2. The area occupied by every single red tile of the cube is ___________ .



6717.

(7310)2−(2110)2

Answer»

(7310)2(2110)2

6718.

Median is a line that connects the vertex of a triangle to the ___ of the opposite side.

Answer»

Median is a line that connects the vertex of a triangle to the ___ of the opposite side.


6719.

If 60% people in city like cricket, 30% like football and the remaining like other games, then what percent of the people like other games? If the total number of people are 50 lakh, find the exact number who like each type of game.

Answer»

If 60% people in city like cricket, 30% like football and the remaining like other games, then what percent of the people like other games? If the total number of people are 50 lakh, find the exact number who like each type of game.

6720.

Observe the figure and complete the table for ∠AWB. Points in the interior Points in the exterior Points on the arms of the angles

Answer» Observe the figure and complete the table for ∠AWB.



















Points in the interior
Points in the exterior
Points on the arms of the angles


6721.

At a place there is two dip circle in vertical plane perpendicular to each other. If apparent dip in them is 45 and 60 degree. The true dip angle at that place is

Answer» At a place there is two dip circle in vertical plane perpendicular to each other. If apparent dip in them is 45 and 60 degree. The true dip angle at that place is
6722.

Question 58In the following question, fill in the blanks to make the statements true.On dividing 85 by ___ we get 8.

Answer»

Question 58



In the following question, fill in the blanks to make the statements true.



On dividing 85 by ___ we get 8.



6723.

Question 13We have 4 congruent equilateral triangles. What do we need more to make a pyramid?(a) An equilateral triangle.(b) A square with same side length as of triangle.(c) 2 equilateral triangles with side length same as the triangle.(d) 2 squares with side length same the as triangle.

Answer» Question 13



We have 4 congruent equilateral triangles. What do we need more to make a pyramid?

(a) An equilateral triangle.

(b) A square with same side length as of triangle.

(c) 2 equilateral triangles with side length same as the triangle.

(d) 2 squares with side length same the as triangle.
6724.

If 75% of a number is added to 75, then the result is the number itself. The number is:

Answer»

If 75% of a number is added to 75, then the result is the number itself. The number is:



6725.

In the given figure, if x=y and AB=CB, then AE is _____.

Answer»

In the given figure, if x=y and AB=CB, then AE is _____.



6726.

Find the value: √81+√36 [2 MARKS]

Answer»

Find the value:

81+36 [2 MARKS]

6727.

Observe the following bar graph and find the difference in (∘C) between the maximum temperatures of Panchgani and Chandrapur?

Answer» Observe the following bar graph and find the difference in (C) between the maximum temperatures of Panchgani and Chandrapur?


6728.

The SP of an article marked at ₹800 was ₹560. Find the Discount percentage on the article.

Answer»

The SP of an article marked at ₹800 was ₹560. Find the Discount percentage on the article.


6729.

The sum of interior angles of a hexagon is

Answer»

The sum of interior angles of a hexagon is


6730.

A can do a piece of work in 14 days which B can do in 21 days. They begin together but 3 days before the completion of the work, A leaves off. The total number of days to complete the work is:

Answer»

A can do a piece of work in 14 days which B can do in 21 days. They begin together but 3 days before the completion of the work, A leaves off. The total number of days to complete the work is:


6731.

A die is thrown 325 times. The frequency of the outcomes of the event 1, 2, 3, 4, 5 and 6 are recorded in the following frequency distribution table. Outcome123456Frequency506545345576 Find the probability of the occurrence of an (i) even number (ii) odd number.

Answer»

A die is thrown 325 times. The frequency of the outcomes of the event 1, 2, 3, 4, 5 and 6 are recorded in the following frequency distribution table.

Outcome123456Frequency506545345576

Find the probability of the occurrence of an (i) even number (ii) odd number.


6732.

Question 79 State whether the following statement is true or false: Cube of an even number is even.

Answer»

Question 79

State whether the following statement is true or false:

Cube of an even number is even.

6733.

Alka Ltd. issued 5,000, 10% Debentures of Rs 1,000 each at a discount of 10% redeemable at a preminum of 5% after 5 years. According to the terms of issue, Rs 500 was payable on application and the balance amount on allotment of debentures. Record necessary journal entries regarding issue of 10% debentures.

Answer»

Alka Ltd. issued 5,000, 10% Debentures of Rs 1,000 each at a discount of 10% redeemable at a preminum of 5% after 5 years. According to the terms of issue, Rs 500 was payable on application and the balance amount on allotment of debentures.

Record necessary journal entries regarding issue of 10% debentures.

6734.

Which of the given tally marks represent the result of 6 + 3?

Answer»

Which of the given tally marks represent the result of 6 + 3?

6735.

y=(1/1+x^{a-b}+x^{c-b})+(1/1+x^{b-c}+x^{a-c})+(1/1+x^{b-a}+x^{c-a}) then dy/dx is equal to

Answer» y=(1/1+x^{a-b}+x^{c-b})+(1/1+x^{b-c}+x^{a-c})+(1/1+x^{b-a}+x^{c-a}) then dy/dx is equal to
6736.

7. The ratio of the height and the base of a parallelogram having area P square unit is 3:5,then find the perpendicular distance parallel sides of the parallelogram?

Answer» 7. The ratio of the height and the base of a parallelogram having area P square unit is 3:5,then find the perpendicular distance parallel sides of the parallelogram?
6737.

Evaluate :a) (1007)³b) 5.05 × 5.05 × 5.05 - 0.05 × 0.05 × 0.05 / 5.05 × 5.05 + 5.05 + 0.05 × 0.05c) (x - 2y)³ - (x + 2y)³

Answer» Evaluate :
a) (1007)³
b) 5.05 × 5.05 × 5.05 - 0.05 × 0.05 × 0.05 / 5.05 × 5.05 + 5.05 + 0.05 × 0.05
c) (x - 2y)³ - (x + 2y)³
6738.

find x if (x-9) and (5x+3) are supplementary angles

Answer» find x if (x-9) and (5x+3) are supplementary angles
6739.

In figure, ∠BAC=90∘ and segment AD⊥BC. Prove that AD2=BD×DC. [3 MARKS]

Answer»

In figure, BAC=90 and segment ADBC. Prove that AD2=BD×DC. [3 MARKS]





6740.

Construct a parallelogram ROME when diagonals RM=6.4cm and OE=8.2c . angles etween them are 60^° .

Answer» Construct a parallelogram ROME when diagonals RM=6.4cm and OE=8.2c . angles etween them are 60^° .
6741.

A screw gauge has some zero error. Least count of this gauge is 0.01mm. 95th division of cap scale coincides with reference line when the gap is closed. What is the zero correction for this instrument ?

Answer» A screw gauge has some zero error. Least count of this gauge is 0.01mm. 95th division of cap scale coincides with reference line when the gap is closed. What is the zero correction for this instrument ?
6742.

Find the supplementary angles corresponding to all the angles of a right angles isosceles triangle? [2 MARKS]

Answer»

Find the supplementary angles corresponding to all the angles of a right angles isosceles triangle? [2 MARKS]

6743.

If you have a spinning wheel with 3-green sectors, 1-blue sector and 1-red sector. What is the probability of getting a green sector? Is it the maximum?

Answer»

If you have a spinning wheel with 3-green sectors, 1-blue sector and 1-red sector. What is the probability of getting a green sector? Is it the maximum?

6744.

Question 71In the following question, state whether the statement is True (T) or False (F):Common factors of 11pq2,121p2q3,1331p2q is 11p2q2.

Answer»

Question 71



In the following question, state whether the statement is True (T) or False (F):



Common factors of 11pq2,121p2q3,1331p2q is 11p2q2.



6745.

If the square root of a number ends in 6 or 4, the given number should have ________ in its units place? With steps.

Answer»

If the square root of a number ends in 6 or 4, the given number should have ________ in its units place? With steps.

6746.

Can the following triangles exist? [3 MARKS] (i) AB = 8 cm, BC = 6 cm, AC = 10cm (ii) MN = 9 cm, NO = 5 cm, OM = 4 cm (iii) ∠A = 175∘, ∠B = 5∘ and ∠C = 0∘

Answer» Can the following triangles exist? [3 MARKS]
(i) AB = 8 cm, BC = 6 cm, AC = 10cm
(ii) MN = 9 cm, NO = 5 cm, OM = 4 cm
(iii) A = 175, B = 5 and C = 0
6747.

Jaffer took a test in which there were 25 questions. Two marks would be given for each correct answer and one mark would be subtracted for each wrong one. Jaffer answered all questions and got 35 marks. How many of his answers were correct?

Answer»

Jaffer took a test in which there were 25 questions. Two marks would be given for each correct answer and one mark would be subtracted for each wrong one. Jaffer answered all questions and got 35 marks. How many of his answers were correct?



6748.

Two pipes can fill a tank in 10 hours and 12 hours respectively, while a third pipe empties the full tank in 20 hours. If all the three pipes operate simultaneously, in how much time will the tak be full? (a) 7 hrs 15 min (b) 7 hrs 30 min (c) 7 hrs 45 min (d) 8 hrs

Answer»

Two pipes can fill a tank in 10 hours and 12 hours respectively, while a third pipe empties the full tank in 20 hours. If all the three pipes operate simultaneously, in how much time will the tak be full?

(a) 7 hrs 15 min

(b) 7 hrs 30 min

(c) 7 hrs 45 min

(d) 8 hrs

6749.

Which of these is/are not a perfect cube?

Answer»

Which of these is/are not a perfect cube?


6750.

In a parallelogram, if one angle is 50o, what will be its adjacent angle?

Answer»

In a parallelogram, if one angle is 50o, what will be its adjacent angle?