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5101.

In how many years will Rs. 750 amount to Rs. 900 at 4% per annum ?

Answer» In how many years will Rs. 750 amount to Rs. 900 at 4% per annum ?
5102.

In a class of 40 children, 40% are girls. How many more girls coming to this class would make this 50%?

Answer»

In a class of 40 children, 40% are girls. How many more girls coming to this class would make this 50%?



5103.

37÷12=

Answer» 37÷12=
5104.

State True or False.Raju's age is 5 more than twice of Ram's age. If Ram's age is represented by x, then the expression which represents Raju's age is 2x + 5.

Answer» State True or False.

Raju's age is 5 more than twice of Ram's age. If Ram's age is represented by x, then the expression which represents Raju's age is 2x + 5.
5105.

In the ratio concept, the meaning of the term “antecedent “ is :

Answer»

In the ratio concept, the meaning of the term “antecedent “ is :


5106.

One angle of a triangle is 60∘ and the other two angles are in the ratio 2:3. Find the smallest angle in the triangle.

Answer»

One angle of a triangle is 60 and the other two angles are in the ratio 2:3. Find the smallest angle in the triangle.



5107.

Question 1(v) Write the following numbers in the expanded form: (v) 20,068

Answer» Question 1(v)
Write the following numbers in the expanded form:

(v) 20,068
5108.

Identify the intersecting lines

Answer»

Identify the intersecting lines

5109.

We are able to take the decimal or fraction value in the equation or not ?

Answer» We are able to take the decimal or fraction value in the equation or not ?
5110.

Following is the Trial Balance as on 31st March 2016. Prepare Trading and Profit and Loss Account and Balance Sheet :- Particulars Debit (₹) Credit (₹) Stock (1st April 2015) 8,000 Sales 2,20,000 Purchases 1,26,000 Productive Wages 56,500 Salaries 16,000 Stores Consumed 6,050 Carriage 3,050 Rent and Rates 5,200 Insurance 1,320 Machinery 52,000 Building 67,000 Capital less Drawings 1,45,600 Sundry Debtors 44,000 Sundry Creditors 20,000 Secured Loan 15,000 Furniture 3,350 General Expenses 2,600 Cash in hand 1,930 Bad Debts 1,020 Bank 6,580 Total 4,00,600 4,00,600 Additional Information :(a) Stock on 31st March 2016 is ₹ 20,600.(b) Depreciate machinery 10% p.a.(c) Make a Provision 5% for Doubtful Debts.(d) Provide 212% for discount on sundry debtors.(e) Rent and Rates include security deposit of ₹ 400.(f) Insurance prepaid ₹ 120.

Answer» Following is the Trial Balance as on 31st March 2016. Prepare Trading and Profit and Loss Account and Balance Sheet :-





















































































































Particulars Debit

(₹)
Credit

(₹)
Stock (1st April 2015) 8,000
Sales 2,20,000
Purchases 1,26,000
Productive Wages 56,500
Salaries 16,000
Stores Consumed 6,050
Carriage 3,050
Rent and Rates 5,200
Insurance 1,320
Machinery 52,000
Building 67,000
Capital less Drawings 1,45,600
Sundry Debtors 44,000
Sundry Creditors 20,000
Secured Loan 15,000
Furniture 3,350
General Expenses 2,600
Cash in hand 1,930
Bad Debts 1,020
Bank 6,580
Total 4,00,600 4,00,600



Additional Information :

(a) Stock on 31st March 2016 is ₹ 20,600.

(b) Depreciate machinery 10% p.a.

(c) Make a Provision 5% for Doubtful Debts.

(d) Provide 212% for discount on sundry debtors.

(e) Rent and Rates include security deposit of ₹ 400.

(f) Insurance prepaid ₹ 120.
5111.

In a particular city, there were 136 cloudy days last year and it rained on 102 of those days. What is the relative frequency of rain on a cloudy day in that city?

Answer»

In a particular city, there were 136 cloudy days last year and it rained on 102 of those days. What is the relative frequency of rain on a cloudy day in that city?

5112.

Seven digit numbers are formed using 0,1,2,3,4,5,6,7,8 without repetition, the probability of selecting a number such that the product of 5 consecutive digits is divisible by either 5 or 7 is Q. Find Q?

Answer» Seven digit numbers are formed using 0,1,2,3,4,5,6,7,8 without repetition, the probability of selecting a number such that the product of 5 consecutive digits is divisible by either 5 or 7 is Q. Find Q?
5113.

If the angle is 30^° more than one half of its complement ,find the measure of the angle

Answer» If the angle is 30^° more than one half of its complement ,find the measure of the angle
5114.

Find the area of the following parallelogram:

Answer»

Find the area of the following parallelogram:


5115.

Find the LCM of 28,36,45 and 60.

Answer» Find the LCM of 28,36,45 and 60.
5116.

Out of the following which is a 3-D figure?

Answer»

Out of the following which is a 3-D figure?


5117.

Enter the following transactions in the Journal of Ganesh Bros. : 2017 ₹ March 3 Sold goods to Dev 1,00,000 5 Received from Dev in full settlement of his account 98,000 6 Sold goods to Manmohan 80,000 8 Manmohan returned goods 1,000 15 Received from Manmohan in full settlement of his account 78,200 16 Received cash from Ram 19,500 and discount allowed 500 20 Paid cash to Pawan 4,700 and discount received from him 300 25 Sold goods to Varun of the list price of ₹ 25,000 at 20% trade discount

Answer» Enter the following transactions in the Journal of Ganesh Bros. :





































































2017
March 3 Sold goods to Dev 1,00,000
5 Received from Dev in full settlement of his account 98,000
6 Sold goods to Manmohan 80,000
8 Manmohan returned goods 1,000
15 Received from Manmohan in full settlement of his account 78,200
16 Received cash from Ram 19,500
and discount allowed 500
20 Paid cash to Pawan 4,700
and discount received from him 300
25 Sold goods to Varun of the list price of ₹ 25,000 at 20% trade discount
5118.

the volume of cylinder is 150 cubic cm and its height is 6 cm. find the areas of its total surface and lateral (curved) surface.

Answer» the volume of cylinder is 150 cubic cm and its height is 6 cm. find the areas of its total surface and lateral (curved) surface.
5119.

The length of the rectangle is (4ab + 6) m and breadth of the rectangle is (6b2+2ab) m. Find the area of the rectangle, if a=2 and b=1.

Answer»

The length of the rectangle is (4ab + 6) m and breadth of the rectangle is (6b2+2ab) m. Find the area of the rectangle, if a=2 and b=1.

5120.

If profit is represented by a '+' sign and loss is represented by a '-' sign, how will you represent a profit of ₹109 and loss of ₹901?

Answer»

If profit is represented by a '+' sign and loss is represented by a '-' sign, how will you represent a profit of 109 and loss of 901?


5121.

If x^2 – 3x + 1 = 0 (x ≠ 0), then the value of x^3-1/x^3 is

Answer» If x^2 – 3x + 1 = 0 (x ≠ 0), then the value of x^3-1/x^3 is
5122.

Suppose there are 60 bees in a beehive. The number of bees doubles every hour. How many bees will be there after 100 hours?

Answer»

Suppose there are 60 bees in a beehive. The number of bees doubles every hour. How many bees will be there after 100 hours?

5123.

In the figure given below, lines AB and CD interest at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, then the value of 2∠BOE is:

Answer»

In the figure given below, lines AB and CD interest at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, then the value of 2∠BOE is:

5124.

If x>0 then show that the function f(x)=log(1+x)+1/(1+x) is monotonic increasing.

Answer» If x>0 then show that the function f(x)=log(1+x)+1/(1+x) is monotonic increasing.
5125.

find the greatrst possible number which can divide 76,132 and 160 and leaves the same remainder in each case

Answer» find the greatrst possible number which can divide 76,132 and 160 and leaves the same remainder in each case
5126.

A car covers a distance of 72 kms in 3 hours. The distance covered in 5 hours is ____ kms.

Answer»

A car covers a distance of 72 kms in 3 hours. The distance covered in 5 hours is ____ kms.

5127.

-4, -11, 0, 1, 8 and 47 are collectively classified as

Answer»

-4, -11, 0, 1, 8 and 47 are collectively classified as



5128.

A has 2 coins and B has n coins. B wants to buy some pencils, which come in two different packages. One package of pencils costs 6 coins for 7 pencils, and the other package of pencils costs 10 coins for 12 pencils. B notes that he can spend all n of his coins on some combination of pencil packages to get p pencils. However, if A gives his two coins to B, he then notes that he can instead spend n+2 of his coins on some combination of pencil packages to get fewer than p pencils. The smallest value of n for which this is possible, is equal to

Answer» A has 2 coins and B has n coins. B wants to buy some pencils, which come in two different packages. One package of pencils costs 6 coins for 7 pencils, and the other package of pencils costs 10 coins for 12 pencils. B notes that he can spend all n of his coins on some combination of pencil packages to get p pencils. However, if A gives his two coins to B, he then notes that he can instead spend n+2 of his coins on some combination of pencil packages to get fewer than p pencils. The smallest value of n for which this is possible, is equal to
5129.

Students are standing in a school assembly line in such a way that the number of rows is equal to the number of columns. If the total number of students is 36, then, how many rows and columns will be there?

Answer»

Students are standing in a school assembly line in such a way that the number of rows is equal to the number of columns. If the total number of students is 36, then, how many rows and columns will be there?


5130.

___ is a multiple of 6.

Answer»

___ is a multiple of 6.


5131.

In the figure, the two triangles are congruent.The corresponding parts are marked. We can write ΔRAT ≅ ?

Answer»

In the figure, the two triangles are congruent.



The corresponding parts are marked. We can write ΔRAT ≅ ?



5132.

1) In a class 2/5 of the students like cricket, 2/7 of the students like hockey and the rest of the students like football. If 11 students liked football and if each student liked only one game, find the number of students liked cricket and also the total number of students in the class. 2)If 6 more than a number is doubled it becomes equal to 4 less than three times the number. Find the number.

Answer» 1) In a class 2/5 of the students like cricket, 2/7 of the students like hockey and the rest of the students like football. If 11 students liked football and if each student liked only one game, find the number of students liked cricket and also the total number of students in the class.


2)If 6 more than a number is doubled it becomes equal to 4 less than three times the number. Find the number.
5133.

Question 2 (i) In the adjoining figure, identify: The pairs of corresponding angles.

Answer»

Question 2 (i)
In the adjoining figure, identify:


The pairs of corresponding angles.

5134.

To find the time to travel a distance.What is the time taken to travel a distance of 90 km at a speed of 36 km/hr.

Answer»

To find the time to travel a distance.



What is the time taken to travel a distance of 90 km at a speed of 36 km/hr.

5135.

If the angles of a triangle are x∘, 2x∘​ and 3x∘, then find the value of x.

Answer»

If the angles of a triangle are x, 2x and 3x, then find the value of x.


5136.

Find angles x and y.

Answer»

Find angles x and y.


5137.

Sid has 24 cupcakes for sale. He sold24 of the total cupcakes on Day 1 and 13 of the total cupcakes on Day 2.How many cupcakes he sold in all?

Answer» Sid has 24 cupcakes for sale. He sold

24 of the total cupcakes on Day 1 and 13 of the total cupcakes on Day 2.



How many cupcakes he sold in all?
5138.

Question 3 (ii)Given below are the seats won by different political parties in the polling outcome of a state assembly elections:Political PartyABCDEFSeats Won755537291037(ii) Which political party won the maximum number of seats?

Answer»

Question 3 (ii)

Given below are the seats won by different political parties in the polling outcome of a state assembly elections:

Political PartyABCDEFSeats Won755537291037

(ii) Which political party won the maximum number of seats?


5139.

How many rounds Elisa has to jog to cover 4 km if each side of the square park is 50 m?

Answer» How many rounds Elisa has to jog to cover 4 km if each side of the square park is 50 m?




5140.

The sides of a triangle are 3x+1,4x+2 & 5x. Find the perimeter of the triangle

Answer»

The sides of a triangle are 3x+1,4x+2 & 5x. Find the perimeter of the triangle

5141.

{[52×(−3)]+337}÷13×12=

Answer»

{[52×(3)]+337}÷13×12=


5142.

Of all the different rectangles formed by the above set of squares, has a minimum perimeter. And the minimum perimeter is.

Answer»

Of all the different rectangles formed by the above set of squares, has a minimum perimeter. And the minimum perimeter is.
5143.

Measures of two adjacent sides of a Parallelogram are in the ratio 17:7. If the second side measures 3.5cm,find the perimeter of the Parallelogram

Answer» Measures of two adjacent sides of a Parallelogram are in the ratio 17:7. If the second side measures 3.5cm,find the perimeter of the Parallelogram
5144.

Two numbers are selected from the set of integers 1 to 25. what is the probability that the product of the numbers will be 36.

Answer» Two numbers are selected from the set of integers 1 to 25. what is the probability that the product of the numbers will be 36.
5145.

A shopkeeper has an unknown weight in his shop. To find out the weight, he first weighs 1 kg of rice, and then weighs 1 kg of rice and the unknown weight together. The combined weight of the rice and the unknown weight is 1.5 kg. Find the unknown weight (in grams).

Answer» A shopkeeper has an unknown weight in his shop. To find out the weight, he first weighs 1 kg of rice, and then weighs 1 kg of rice and the unknown weight together. The combined weight of the rice and the unknown weight is 1.5 kg. Find the unknown weight (in grams).
5146.

In the given figure, measures of some angles are shown.Using the measures find the measures of ∠x and ∠y and hence show that line l || line m.

Answer» In the given figure, measures of some angles are shown.



Using the measures find the measures of x and y and hence show that line l || line m.
5147.

Find four number in A.P whose sum is 40 and the sum of whose squares is 480

Answer» Find four number in A.P whose sum is 40 and the sum of whose squares is 480
5148.

Select a suitable figure from the four alternatives that would complete the figure matrix

Answer»

Select a suitable figure from the four alternatives that would complete the figure matrix


5149.

The complement of 41 degrees is ____.

Answer»

The complement of 41 degrees is ____.



5150.

If you need to reinvest a part of your profit keeping the family's profit unchanged, the fraction of total profit that can be reinvested is .

Answer»

If you need to reinvest a part of your profit keeping the family's profit unchanged, the fraction of total profit that can be reinvested is .