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2601.

(am)n= _____

Answer» (am)n= _____
2602.

Find the simplified form of the following: (xa+b)3× (xb+c)3× (xc+a)3(xa× xb× xc)6

Answer» Find the simplified form of the following:

(xa+b)3× (xb+c)3× (xc+a)3(xa× xb× xc)6
2603.

Mrs.Mathew opened a recurring deposit account in a certain bank and deposited Rs 640 per month for 41/2 years .Find the maturity value of this account, if the bank pays interest at the rate of 12% per year.

Answer»

Mrs.Mathew opened a recurring deposit account in a certain bank and deposited Rs 640 per month for 41/2 years .Find the maturity value of this account, if the bank pays interest at the rate of 12% per year.

2604.

Question 3A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And if the train were slower by 10 km/h; it would have taken 3 hours more than the scheduled time. Find the distance covered by the train.

Answer» Question 3

A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And if the train were slower by 10 km/h; it would have taken 3 hours more than the scheduled time. Find the distance covered by the train.
2605.

The rational number between 16 and 14 is

Answer»

The rational number between 16 and 14 is

2606.

100 gms of a chicken dish has 75 gms of chicken, 20 gms of spices and 5gms of salt in it. Draw a pie chart representing the given composition. [2 MARKS]

Answer»

100 gms of a chicken dish has 75 gms of chicken, 20 gms of spices and 5gms of salt in it. Draw a pie chart representing the given composition.

[2 MARKS]



2607.

Construct the triangle ABC, in which AB = 5.5 cm, ∠A = 45°, ∠B = 85°. Measure the sides AC and BC.

Answer»

Construct the triangle ABC, in which AB = 5.5 cm, A = 45°, B = 85°. Measure the sides AC and BC.

2608.

Question 7 (iii) Rewrite the following rational number in the simplest form: (−4472)

Answer»

Question 7 (iii)

Rewrite the following rational number in the simplest form:
(4472)

2609.

If the matches played by Australia are represented in a pie chart, what will be the angle subtended by the matches played between Australia and Canada?

Answer»

If the matches played by Australia are represented in a pie chart, what will be the angle subtended by the matches played between Australia and Canada?

2610.

(x)^(-a) x (x)^(-b) = ___

Answer»

(x)^(-a) x (x)^(-b) = ___



2611.

Question 90 State whether the statement is True or False. The circle, the square, the rectangle and the triangle are examples of plane figures.

Answer»

Question 90
State whether the statement is True or False.
The circle, the square, the rectangle and the triangle are examples of plane figures.

2612.

35. A bag contains 4 green and 6 white balls. Two balls are drawn one by one without replacement. If the second ball drawn is white , what is the probability that the first ball drawn is also white ?

Answer» 35. A bag contains 4 green and 6 white balls. Two balls are drawn one by one without replacement. If the second ball drawn is white , what is the probability that the first ball drawn is also white ?
2613.

One card is drawn from a well - shuffled deck of 52 cards. Calculate the probability of getting an ace.

Answer»

One card is drawn from a well - shuffled deck of 52 cards. Calculate the probability of getting an ace.


2614.

The triangle DEF is right-angled triangle, right-angled at vertex E. The relation among the three sides of triangle DEF is given as -

Answer»

The triangle DEF is right-angled triangle, right-angled at vertex E. The relation among the three sides of triangle DEF is given as -

2615.

Question 98(iv)Simplify (25÷28)×2−7

Answer»

Question 98(iv)



Simplify

(25÷28)×27



2616.

The sum of two rational numbers is -3. If one of the them is −103 then the other one is (a) −133 (b) −193 (c) 13 (d) 133

Answer»

The sum of two rational numbers is -3. If one of the them is 103 then the other one is

(a) 133

(b) 193

(c) 13

(d) 133

2617.

What is 7 x 3/5?

Answer»

What is 7 x 3/5?



2618.

Which of the following numbers is equal to 0?

Answer»

Which of the following numbers is equal to 0?


2619.

Question 3(i) Solve the following: Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. How many marbles does Parmit have?

Answer» Question 3(i)
Solve the following:

Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. How many marbles does Parmit have?
2620.

In a right-angled triangle, the length of the largest side is 10cm and of another side is 8cm. What will be the length of the remaining side?

Answer»

In a right-angled triangle, the length of the largest side is 10cm and of another side is 8cm. What will be the length of the remaining side?



2621.

Question 4(ii)Subtract 3 xy + 5 yz - 7 zx from 5 xy - 2 yz - 2 zx +10 xyz

Answer» Question 4(ii)

Subtract 3 xy + 5 yz - 7 zx from 5 xy - 2 yz - 2 zx +10 xyz

2622.

(a) In the figure given below, normally in two jumps frog covers the distance of 9m. One day on seeing the snake frog jumped 15 times more than his normal jump and again he jumped with full strength and covered 12 times more distance than he normally covers in the second jump. Find the distance covered by frog in the second jump and in total. (b) Are the statements below correct? (i) The rational numbers −215 and 7−31 are on the opposite sides of 0 on the number line. (ii) The rational number −3−5 is on the right of −47 on the number line. [4 MARKS]

Answer»


(a) In the figure given below, normally in two jumps frog covers the distance of 9m. One day on seeing the snake frog jumped 15 times more than his normal jump and again he jumped with full strength and covered 12 times more distance than he normally covers in the second jump. Find the distance covered by frog in the second jump and in total.





(b) Are the statements below correct?


(i) The rational numbers 215 and 731 are on the opposite sides of 0 on the number line.

(ii) The rational number 35 is on the right of 47 on the number line.

[4 MARKS]

2623.

△ABC is constructed such that AB = 7 cm, AC = 4 cm and ∠A = 75∘. Then the length of side BC is _____ .

Answer»

ABC is constructed such that AB = 7 cm, AC = 4 cm and A = 75. Then the length of side BC is _____ .



2624.

What is the value of integrate x power 15 divided by 1 pluse x power 32?

Answer» What is the value of integrate x power 15 divided by 1 pluse x power 32?
2625.

The length and breadth of a rectangle are in the ratio 4:3. If the diagonal measures 25cm, then the perimeter of the rectangle is_______.

Answer» The length and breadth of a rectangle are in the ratio 4:3. If the diagonal measures 25cm, then the perimeter of the rectangle is_______.
2626.

A cubical tank has a volume of 8000 m3. What is the height of the tank?

Answer» A cubical tank has a volume of 8000 m3. What is the height of the tank?
2627.

What is the measure of the angle at the centre of a circle?

Answer»

What is the measure of the angle at the centre of a circle?

2628.

Pickout and write the absolute term from the expression given below:(1) x2 + 5x = 8(2) 5x3 − 4x2 + 3x + 18(3) 6x2y + 8y2 + xy − 10(4)

Answer»

Pickout and write the absolute term from the expression given below:



(1) x2 + 5x = 8



(2) 5x3 − 4x2 + 3x + 18



(3) 6x2y + 8y2 + xy − 10



(4)

2629.

Identify the interior angles of the triangle △PQR.

Answer»

Identify the interior angles of the triangle PQR.




2630.

Can 10 by -15 and -10 by 15 be equivalent ?

Answer» Can 10 by -15 and -10 by 15 be equivalent ?
2631.

Find the area of a square park whose perimeter is 320 m.

Answer» Find the area of a square park whose perimeter is 320 m.
2632.

Which of the following is a rational number between 14 and 13?

Answer»

Which of the following is a rational number between 14 and 13?



2633.

Question 1 (b) Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators. b) If the number of digits formed is taken to be 'n', the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern. How many segments are required to form 5, 10, 100 digits of the kind

Answer»

Question 1 (b)
Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.

b)

If the number of digits formed is taken to be 'n', the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern. How many segments are required to form 5, 10, 100 digits of the kind

2634.

Arithmetic mean is denoted by ______.

Answer»

Arithmetic mean is denoted by ______.

2635.

How many faces, edges and vertices does a pyramid have with n sided polygon as its base?

Answer» How many faces, edges and vertices does a pyramid have with n sided polygon as its base?
2636.

The perimeter of the following triangle is

Answer»

The perimeter of the following triangle is


2637.

Mark the correct alternative in the following question:If a person travels 60 km in 4 hours in a car, then the speed of the car is(a) 12 km/hr (b) 15 km/hr (c) 20 km/hr (d) 24 km/hr

Answer» Mark the correct alternative in the following question:



If a person travels 60 km in 4 hours in a car, then the speed of the car is



(a) 12 km/hr (b) 15 km/hr (c) 20 km/hr (d) 24 km/hr
2638.

There are 15 fruits in a basket. The basket contains a number of apples, g number of grapes and k number of kiwis only. What would be the value of a+g+k?

Answer»

There are 15 fruits in a basket. The basket contains a number of apples, g number of grapes and k number of kiwis only. What would be the value of a+g+k?

2639.

Whole numbers are also called_________________

Answer»

Whole numbers are also called_________________


2640.

(−7)×(−13)+(17)×(−13)=__

Answer»

(7)×(13)+(17)×(13)=__



2641.

Question 1(a) : Write the fractions appropriately as additions or subtractions:

Answer»

Question 1(a) :

Write the fractions appropriately as additions or subtractions:

2642.

Draw the top, front and side view for the figure shown above. [3 MARKS]

Answer»



Draw the top, front and side view for the figure shown above. [3 MARKS]



2643.

There are 3 types of faces for a regular brick. Count the number of faces of each type on the brick wall shown below.

Answer» There are 3 types of faces for a regular brick. Count the number of faces of each type on the brick wall shown below.




2644.

A stick has to be cut at two-thirds and three-fourths of its original length. Using the given number line, find the correct positions where the cuts are to be made:

Answer»

A stick has to be cut at two-thirds and three-fourths of its original length. Using the given number line, find the correct positions where the cuts are to be made:




2645.

According to the given table, find the relation between x and y. x1234y1357

Answer»

According to the given table, find the relation between x and y.
x1234y1357

2646.

Give theorder of rotational symmetry for each figure:

Answer»

Give the
order of rotational symmetry for each figure:



2647.

Question 3(a)Given, Munnu’s age is x years. Can you guess what (x - 2) may show? (Hint: Think of Munnu’s younger brother.) Can you guess what (x + 4) may show? What (3x + 7) may show?

Answer»

Question 3(a)



Given, Munnu’s age is x years. Can you guess what (x - 2) may show? (Hint: Think of Munnu’s younger brother.) Can you guess what (x + 4) may show? What (3x + 7) may show?



2648.

Write a user defined function to convert a string with more than one word into title case string where string is passed as parameter. (Title case means that the first letter of each word is capitalised)

Answer» Write a user defined function to convert a string with more than one word into title case string where string is passed as parameter. (Title case means that the first letter of each word is capitalised)
2649.

Pass entries in the books of Sh. Jagdish Mishra of Lucknow (U.P.) assuming CGST 6% and SGST 6%: 2018 March 5 Purchased goods for ₹ 2,50,000 from Virender Yadav of Patna (Bihar). March 12 Sold goods costing ₹ 60,000 at 50% profit to Partap Sinha of Ranchi (Jharkhand). March 14 Purchased goods for ₹ 70,000 from Ram Nath of Kanpur (U.P.) against cheque. March 18 Sold goods at Varanasi (U.P.) Costing ₹ 2,25,000 at 3313% profit less trade discount 10% against cheque which was deposited into bank. March 20 Paid rent ₹ 25,000 by cheque. March 31 Payment made of balance amount of GST.

Answer» Pass entries in the books of Sh. Jagdish Mishra of Lucknow (U.P.) assuming CGST 6% and SGST 6%:































2018
March 5 Purchased goods for ₹ 2,50,000 from Virender Yadav of Patna (Bihar).
March 12 Sold goods costing ₹ 60,000 at 50% profit to Partap Sinha of Ranchi (Jharkhand).
March 14 Purchased goods for ₹ 70,000 from Ram Nath of Kanpur (U.P.) against cheque.
March 18 Sold goods at Varanasi (U.P.) Costing ₹ 2,25,000 at 3313% profit less trade discount 10% against cheque which was deposited into bank.
March 20 Paid rent ₹ 25,000 by cheque.
March 31 Payment made of balance amount of GST.
2650.

7. How to find range of a function

Answer» 7. How to find range of a function