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11151.

Question 66For all rational numbers x and y, x - y = y - x

Answer» Question 66

For all rational numbers x and y, x - y = y - x
11152.

A box contains coins of 25-paise and 50-paise suchthat total amount is Rs.160. If the number of 25-paise coins is six times the number of 50-paise coins, then find the numbers of 25-paise coins and 50-paise coins.

Answer»

A box contains coins of 25-paise and 50-paise suchthat total amount is Rs.160. If the number of 25-paise coins is six times the number of 50-paise coins, then find the numbers of 25-paise coins and 50-paise coins.

11153.

In the adjoining figure, the line EF is a transversal to the lines AC and BD. This statement is (True/False).

Answer»

In the adjoining figure, the line EF is a transversal to the lines AC and BD. This statement is (True/False).
11154.

Kate has $ 500 as currency notes in the denominations of $ 50 and $ 20. The ratio of the number of $ 50 notes and $ 20 notes is 3:5. Then, the number of $ 50 notes is and the number of $ 20 notes is .

Answer» Kate has $ 500 as currency notes in the denominations of $ 50 and $ 20. The ratio of the number of $ 50 notes and $ 20 notes is 3:5. Then, the number of $ 50 notes is and the number of $ 20 notes is .
11155.

Solve: (7+p)(8+p)

Answer» Solve: (7+p)(8+p)
11156.

Question 20 Fill in the blanks to make the statement true. Sum of two number is 81. One is twice the other. (a) If smaller number is x, the other number is ............ (b) The equation formed is ............ (c) The solution of the equation is .............. (d) The numbers are ............. and .............

Answer»

Question 20

Fill in the blanks to make the statement true.
Sum of two number is 81. One is twice the other.

(a) If smaller number is x, the other number is ............
(b) The equation formed is ............
(c) The solution of the equation is ..............
(d) The numbers are ............. and .............

11157.

If △ABC is drawn with length of side AB being 9 cm, ∠A being 45∘ and ∠B being 65∘, then the length of side AC is

Answer»

If ABC is drawn with length of side AB being 9 cm, A being 45 and B being 65, then the length of side AC is


11158.

If A = {4, 5, 6, 7, 8, 9}, B = {4, 5, 6}, C = {7, 8, 9} then which of the following statements are correct ?

Answer»

If A = {4, 5, 6, 7, 8, 9}, B = {4, 5, 6}, C = {7, 8, 9} then which of the following statements are correct ?


11159.

If rational numbers are arranged in ascending order and we increase every number by 7.5 , what will happen to its order?

Answer»

If rational numbers are arranged in ascending order and we increase every number by 7.5 , what will happen to its order?


11160.

Question 75 (c) Find the value of −(−4)4

Answer»

Question 75 (c)

Find the value of (4)4

11161.

In a circle a equilateral triangle is immersed such that point of intersection of median coincides over centre of circle then provr that median =3/2radius .

Answer» In a circle a equilateral triangle is immersed such that point of intersection of median coincides over centre of circle then provr that median =3/2radius .
11162.

Question 138 (i) Earth Science The table lists the world's 10 largest deserts. What are the mean, median and mode of the areas listed ?

Answer»

Question 138 (i)

Earth Science
The table lists the world's 10 largest deserts.

What are the mean, median and mode of the areas listed ?

11163.

Raju’s father’s age is 5 years more than 3 times Raju’s age. If Raju’s age is x years, then find his father’s age.

Answer» Raju’s father’s age is 5 years more than 3 times Raju’s age. If Raju’s age is x years, then find his father’s age.


11164.

In an obtuse angled triangle, what is the type of the two remaining angles?

Answer»

In an obtuse angled triangle, what is the type of the two remaining angles?

11165.

There is a closed carton of eggs in Emma's refrigerator. The carton can hold 21 eggs. If x is the number of eggs, then write this situation as an inequality.

Answer»

There is a closed carton of eggs in Emma's refrigerator. The carton can hold 21 eggs. If x is the number of eggs, then write this situation as an inequality.

11166.

The length and the breadth of a rectangular piece of land are 500 m and 300 m respectively. Find (i) its area (ii)the cost of the land, if 1 m2 of the land costs Rs 10,000.

Answer»

The length
and the breadth of a rectangular piece of land are 500 m and 300 m
respectively. Find


(i) its
area


(ii)the
cost of the land, if 1 m2 of the land costs Rs 10,000.

11167.

44. A 1.5 m tall man is standing at distance of 2m from a lamp post when the lamp is 3 m above the ground.the length of the shadow of the man on the ground is(a) 1.5 m(c) 2.5 (b) 3m(d) 2 m

Answer» 44. A 1.5 m tall man is standing at distance of 2m from a lamp post when the lamp is 3 m above the ground.the length of the shadow of the man on the ground is(a) 1.5 m(c) 2.5 (b) 3m(d) 2 m
11168.

Find the value of (B-D) in the following equation. (Ax+By)+(Cx−Dy)=Ex−F

Answer»

Find the value of (B-D) in the following equation.
(Ax+By)+(CxDy)=ExF

11169.

Match the value of x in each case;

Answer»

Match the value of x in each case;

11170.

Probability of occurrence of an event is defined as

Answer»

Probability of occurrence of an event is defined as


11171.

The distance between two milestones is 230 km and two cars start simultaneously from the milestones in opposite directions. The distance between them after three hours is 20 km. If the speed of one car is less than that of other by 10 km/hr, find the speed of each car.

Answer»

The distance between two milestones is 230 km and two cars start simultaneously from the milestones in opposite directions. The distance between them after three hours is 20 km. If the speed of one car is less than that of other by 10 km/hr, find the speed of each car.


11172.

mth Term of a G.P. is n and its nth term is m show that (m+n)th term is (n^m/m^n)^1/m-n

Answer» mth Term of a G.P. is n and its nth term is m show that (m+n)th term is (n^m/m^n)^1/m-n
11173.

Question 82 (iv)Subtract3t4−4t3+2t2−6t+6 from−4t4+8t3−4t2−2t+11

Answer»

Question 82 (iv)



Subtract



3t44t3+2t26t+6 from4t4+8t34t22t+11



11174.

Perimeter of any figure is ________.

Answer»

Perimeter of any figure is ________.

11175.

Construct ∆ ABC, in which BC = 6.2 cm, ∠ACB= 50°, AB + AC = 9.8 cm

Answer» Construct ABC, in which BC = 6.2 cm, ACB= 50°, AB + AC = 9.8 cm
11176.

Enter the following transactions in a Cash Book with Cash and Bank Columns∶− 2017 March 1 Cash in Hand ₹ 15,000; Bank ₹ 8,000 2 Sold goods to X on credit for ₹ 10,000. 5 Sold goods for ₹ 20,000; received cheque from them, discount allowed 212%. Cheque was deposited into bank on 7th March. 10 Purchased goods from Suresh on the terms of 5% Cash discount if the payment is made within 3 days ₹ 20,000. 12 Payment made to Suresh; half in Cash and half by cheque. 14 Received a Bank Draft for ₹ 6,820 from Siya Ram in full settlement of ₹ 7,000 due from him. Sent the draft to the Bank. 16 Settled Pawan's account of ₹ 5,000 at a discount of 5%. 17 Goods worth ₹ 8,000 were purchased from Sunil on 5th March. Its payment was made today by cheque after deducting 5% cash discount. 18 Withdrawn from Bank ₹ 20,000 and Furniture was purchased for ₹ 15,000; the balance taken by the proprietor. 20 Received a cheque from Ravi for ₹ 2,850 in settlement after deducting 5%. Endorsed the cheque to Gopal on 22nd March. 22 Placed an order with 'Jai Traders' for goods of the value of ₹ 10,000 and sent a cheque of ₹ 8,000 with the order. 23 Purchased furniture by cheque of ₹ 6,000. 24 Cash sales ₹ 15,000; half of which deposited into bank. 25 X settled his account by payment of ₹ 10,150; ₹ 150 being the interest charged. 27 Paid rent to Landlord 'Rakesh' by cheque ₹ 2,000. 28 Cashed a cheque for ₹ 10,000 and paid salaries in cash ₹ 8,000. 31 Deposited into bank, balance of cash in excess of ₹ 5,000.

Answer» Enter the following transactions in a Cash Book with Cash and Bank Columns∶−




















































































2017


March 1 Cash in Hand ₹ 15,000; Bank ₹ 8,000
2 Sold goods to X on credit for ₹ 10,000.
5 Sold goods for ₹ 20,000; received cheque from them, discount allowed 212%.
Cheque was deposited into bank on 7th March.
10 Purchased goods from Suresh on the terms of 5% Cash discount if the payment is made within 3 days ₹ 20,000.
12 Payment made to Suresh; half in Cash and half by cheque.
14 Received a Bank Draft for ₹ 6,820 from Siya Ram in full settlement of ₹ 7,000 due from him. Sent the draft to the Bank.
16 Settled Pawan's account of ₹ 5,000 at a discount of 5%.
17 Goods worth ₹ 8,000 were purchased from Sunil on 5th March. Its payment was made today by cheque after deducting 5% cash discount.
18 Withdrawn from Bank ₹ 20,000 and Furniture was purchased for ₹ 15,000; the balance taken by the proprietor.
20 Received a cheque from Ravi for ₹ 2,850 in settlement after deducting 5%.
Endorsed the cheque to Gopal on 22nd March.
22 Placed an order with 'Jai Traders' for goods of the value of ₹ 10,000 and sent a cheque of ₹ 8,000 with the order.
23 Purchased furniture by cheque of ₹ 6,000.
24 Cash sales ₹ 15,000; half of which deposited into bank.
25 X settled his account by payment of ₹ 10,150; ₹ 150 being the interest charged.
27 Paid rent to Landlord 'Rakesh' by cheque ₹ 2,000.
28 Cashed a cheque for ₹ 10,000 and paid salaries in cash ₹ 8,000.
31 Deposited into bank, balance of cash in excess of ₹ 5,000.
11177.

6√5÷2√5=?

Answer»

6√5÷2√5=?

11178.

Question 105 (i) It takes 17 full specific type of trees to make one tonne of paper. If there are 221 Such trees in a forest, then What fraction of the forest will be used to make (a) 5 tonne of paper? (b) 10 tonne of paper?

Answer»

Question 105 (i)

It takes 17 full specific type of trees to make one tonne of paper. If there are 221 Such trees in a forest, then
What fraction of the forest will be used to make
(a) 5 tonne of paper?
(b) 10 tonne of paper?

11179.

A statement of equality of two algebraic expressions which involves one or more variables is known as:

Answer» A statement of equality of two algebraic expressions which involves one or more variables is known as:
11180.

A grinding wheel attained a velocity of 20 rad/sec starting from rest .find the number of revolution made by the whee

Answer» A grinding wheel attained a velocity of 20 rad/sec starting from rest .find the number of revolution made by the whee
11181.

35=9+13(x-1)

Answer»

35=9+13(x-1)

11182.

You have 100 rupee and you have to buy 100 utensils. The rate of utensils are: 25 paise per utensil I rupee per utensil 5 rupee per utensil Note: You have to buy all types of utensils and the number must be 100.

Answer»

You have 100 rupee and you have to buy 100 utensils.

The rate of utensils are:

25 paise per utensil

I rupee per utensil

5 rupee per utensil

Note: You have to buy all types of utensils and the number must be 100.

11183.

Following balances appeared in the books of Ram & Shyam on January 1, 2017 :−Assets : Cash in hand ₹ 30,000; Stock ₹ 36,000; Lal Chand ₹ 7,600; Mukesh Khanna ₹ 16,200; Furniture ₹ 8,000.Liabilities : Ghanshyam ₹ 6,000; Vinod ₹ 8,000.Following transactions took place during Jan. 2017 :− 2017 Jan. 2 Purchased Typewriter for ₹ 7,500. 4 Sold goods for Cash of the list price of ₹ 25,000 at 20% trade discount and 5% Cash discount. 6 Sold goods to Gopal Seth for ₹ 10,000. 8 Gopal Seth returned goods for ₹ 1,500. 12 Purchased goods from Arun ₹ 12,000; and from Varun ₹ 15,000. 13 Settled Arun's account in full after deducting 5% for cash discount. 14 Paid cash to Ghanshyam in full settlement of his account. 16 Received ₹ 7,500 from Lal Chand in full settlement of his account. 17 Purchased a Scooter for office use ₹ 18,000. 20 Sold goods for cash ₹ 20,000. 22 Received from Gopal Seth ₹ 4,850 and discount allowed ₹ 150. 27 Paid for Wages ₹ 7,000 and Salaries ₹ 3,000. 28 Withdrew goods for ₹ 2,000 and Cash ₹ 1,500 for private use. 29 Paid for Life Insurance Premium of the Proprietor ₹ 1,600. Journalise the above transactions, post them into Ledger, balance them and prepare a Trial Balance.

Answer» Following balances appeared in the books of Ram & Shyam on January 1, 2017 :−

Assets : Cash in hand ₹ 30,000; Stock ₹ 36,000; Lal Chand ₹ 7,600; Mukesh Khanna ₹ 16,200; Furniture ₹ 8,000.

Liabilities : Ghanshyam ₹ 6,000; Vinod ₹ 8,000.

Following transactions took place during Jan. 2017 :−
































































2017


Jan. 2 Purchased Typewriter for ₹ 7,500.
4 Sold goods for Cash of the list price of ₹ 25,000 at 20% trade discount and 5% Cash discount.
6 Sold goods to Gopal Seth for ₹ 10,000.
8 Gopal Seth returned goods for ₹ 1,500.
12 Purchased goods from Arun ₹ 12,000; and from Varun ₹ 15,000.
13 Settled Arun's account in full after deducting 5% for cash discount.
14 Paid cash to Ghanshyam in full settlement of his account.
16 Received ₹ 7,500 from Lal Chand in full settlement of his account.
17 Purchased a Scooter for office use ₹ 18,000.
20 Sold goods for cash ₹ 20,000.
22 Received from Gopal Seth ₹ 4,850 and discount allowed ₹ 150.
27 Paid for Wages ₹ 7,000 and Salaries ₹ 3,000.
28 Withdrew goods for ₹ 2,000 and Cash ₹ 1,500 for private use.
29 Paid for Life Insurance Premium of the Proprietor ₹ 1,600.



Journalise the above transactions, post them into Ledger, balance them and prepare a Trial Balance.
11184.

The area of a parallelogram shaped wall is 9.5 m2. If the height of the wall is 5 m, find length of the base of the parallelogram-shaped wall?

Answer»

The area of a parallelogram shaped wall is 9.5 m2. If the height of the wall is 5 m, find length of the base of the parallelogram-shaped wall?

11185.

Which of the following is equal to the following expression: x2+13x+40

Answer»

Which of the following is equal to the following expression:
x2+13x+40

11186.

The figure can be formed in shape of a die. The value of C should be ______. ___

Answer»

The figure can be formed in shape of a die.

The value of C should be ______.


___
11187.

Question 5 (vi)In the following figure, ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE intersects BC at F, show that:ar(FED)=18ar(AFC)

Answer» Question 5 (vi)

In the following figure, ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE intersects BC at F, show that:

ar(FED)=18ar(AFC)












11188.

Question 2In the following question, out of the four options, only one is correct. Write the correct answer:For a fixed base, if the exponent decreases by 1, the number becomes:(a)One-thenth of the previous number(b)Ten times of the previous number(c)Hundredth of the previous number (d)Hundred times fo the previous number

Answer»

Question 2



In the following question, out of the four options, only one is correct. Write the correct answer:



For a fixed base, if the exponent decreases by 1, the number becomes:

(a)One-thenth of the previous number

(b)Ten times of the previous number

(c)Hundredth of the previous number

(d)Hundred times fo the previous number



11189.

Question 93 What is 800 % of 800?

Answer»

Question 93

What is 800 % of 800?

11190.

Express16,200 as a product of powers of prime numbers.

Answer»

Express16,200 as a product of powers of prime numbers.

11191.

The value of 1002−992 is equal to

Answer»

The value of 1002992 is equal to


11192.

Numbers 50, 42, 35, 2x+10, 2x−8, 12, 11, 8 are written descending order and their median is 25, the value of x is:

Answer»

Numbers 50, 42, 35, 2x+10, 2x8, 12, 11, 8 are written descending order and their median is 25, the value of x is:


11193.

Sum of numbers a and b subtracted from their product. Form an algebraic expression.

Answer»

Sum of numbers a and b subtracted from their product. Form an algebraic expression.

11194.

Evaluate: (-1) x (-1) x (-1) x............................. 53 times

Answer» Evaluate:

(-1) x (-1) x (-1) x............................. 53 times
11195.

Simplify and express in exponential form: 3−5×10−5×1255−7×6−5 is :

Answer»

Simplify and express in exponential form: 35×105×12557×65 is :



11196.

How many sides does a regular polygon have if each of it's interior angle is 165 degree

Answer» How many sides does a regular polygon have if each of it's interior angle is 165 degree
11197.

Show the number 7 on the number line.

Answer» Show the number 7 on the number line.
11198.

Find the area of a rectangular plot which is 425m long and 635m broad.

Answer»

Find the area of a rectangular plot which is 425m long and 635m broad.


11199.

7p;4q+4q;9p

Answer» 7p;4q+4q;9p
11200.

The standard form of the rational number −1244 is

Answer»

The standard form of the rational number 1244 is