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6401.

After you finish your work, you were watching TV and came across an advertisement by Flipkart, The Big Billion Day SALE. You wanted to know what a 'sale' is and your mum tells you that we get discounts during sales i.e., a certain percent decrease on the cost. As your birthday is near, your mum decided to shop through Flipkart for your birthday. She selects a t-shirt which costs Rs.1625 and has 40% discount. What is the final amount she pays for the t-shirt?

Answer»

After you finish your work, you were watching TV and came across an advertisement by Flipkart, The Big Billion Day SALE. You wanted to know what a 'sale' is and your mum tells you that we get discounts during sales i.e., a certain percent decrease on the cost. As your birthday is near, your mum decided to shop through Flipkart for your birthday. She selects a t-shirt which costs Rs.1625 and has 40% discount. What is the final amount she pays for the t-shirt?

6402.

From acircular sheet of radius 4 cm, a circle of radius 3 cm is removed.Find the area of the remaining sheet. (Takeπ= 3.14)

Answer»

From a
circular sheet of radius 4 cm, a circle of radius 3 cm is removed.
Find the area of the remaining sheet. (Takeπ
= 3.14)



6403.

215÷115=

Answer» 215÷115=
6404.

Given that line p||q, calculate value of x is

Answer»

Given that line p||q, calculate value of x is


6405.

5. The circumference of a given circular Park is 55 m. It is surrounded by a path of uniform width 3.5m. Find the area of the path

Answer» 5. The circumference of a given circular Park is 55 m. It is surrounded by a path of uniform width 3.5m. Find the area of the path
6406.

A bag contains 50 coins and each coin is marked with a different integer from 51 to 100. One coin is picked at random.Find the probability that the number on the coin is not a prime number.

Answer»

A bag contains 50 coins and each coin is marked with a different integer from 51 to 100. One coin is picked at random.



Find the probability that the number on the coin is not a prime number.



6407.

0.1/0.01 + 0.01/0.1?

Answer»

0.1/0.01 + 0.01/0.1?

6408.

Question 41 In the given figure, if PQ|| RS and QR || TS, then the value of a is (a) 95∘ (b) 90∘ (c) 85∘ (d) 75∘

Answer»

Question 41

In the given figure, if PQ|| RS and QR || TS, then the value of a is

(a) 95
(b) 90
(c) 85
(d) 75


    6409.

    The lines ⟷XW and ⟷YZ are parallel, find the angle ∠DCW

    Answer»

    The lines XW and YZ are parallel, find the angle DCW


    6410.

    What is 7 x 3/5?

    Answer»

    What is 7 x 3/5?



    6411.

    After offering discount of 10% on marked price, a customer gets total discount of 17 rupees. To find the cost price for the customer, fill in the following boxes with appropriate numbers and complete the activity.Suppose, marked price of the item = 100 rupeesTherefore, for customer that item costs 0 - 0 = 90 rupeesHence, when the discount is 0 then the selling price is 0 rupees.Suppose when the discount is 0 rupees, the selling price is x rupees.∴ x 0 = 0 0 ∴x= 0 × 0 0 = 0 ∴ the customer will get the item for 153 rupees.

    Answer» After offering discount of 10% on marked price, a customer gets total discount of 17 rupees. To find the cost price for the customer, fill in the following boxes with appropriate numbers and complete the activity.



    Suppose, marked price of the item = 100 rupees



    Therefore, for customer that item costs 0 - 0 = 90 rupees



    Hence, when the discount is 0 then the selling price is 0 rupees.



    Suppose when the discount is 0 rupees, the selling price is x rupees.



    x 0 = 0 0 x= 0 × 0 0 = 0



    ∴ the customer will get the item for 153 rupees.
    6412.

    Step 1: 3x+2=17 Step 2: 3x=17−2 This process of shifting number from one side to the other is called ___.

    Answer»

    Step 1: 3x+2=17
    Step 2: 3x=172
    This process of shifting number from one side to the other is called ___.


    6413.

    Question 2 (iv)Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method:Meena went to bank to withdraw Rs 2000. She asked the cashier to give her Rs 50 and Rs 100 notes only. Meena got 25 notes in all. Find how many notes of Rs 50 and Rs 100 she received.

    Answer» Question 2 (iv)

    Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method:

    Meena went to bank to withdraw Rs 2000. She asked the cashier to give her Rs 50 and Rs 100 notes only. Meena got 25 notes in all. Find how many notes of Rs 50 and Rs 100 she received.
    6414.

    In the right-angled ∆PQR, ∠ P = 90°. If l(PQ) = 24 cm and l(PR) = 10 cm, find the length of seg QR.

    Answer» In the right-angled ∆PQR, ∠ P = 90°. If l(PQ) = 24 cm and l(PR) = 10 cm, find the length of seg QR.
    6415.

    Write equations for the following statements:(i) The sum of numbers x and 4 is 9.(ii) 2 subtracted from y is 8.(iii) Ten times a is 70.(iv) The number b divided by 5 gives 6.(v) Three-fourth of t is 15.(vi) Seven times m plus 7 gets you 77.(vii) One-fourth of a number x minus 4 gives 4.(viii) If you take away 6 from 6 times y, you get 60.(ix) If you add 3 to one-third of z, you get 30.

    Answer»

    Write equations for the following statements:



    (i) The sum of numbers x and 4 is 9.



    (ii) 2 subtracted from y is 8.



    (iii) Ten times a is 70.



    (iv) The number b divided by 5 gives 6.



    (v) Three-fourth of t is 15.



    (vi) Seven times m plus 7 gets you 77.



    (vii) One-fourth of a number x minus 4 gives 4.



    (viii) If you take away 6 from 6 times y, you get 60.



    (ix) If you add 3 to one-third of z, you get 30.

    6416.

    If a set has n elements, then it has subsets.

    Answer»

    If a set has n elements, then it has subsets.

    6417.

    Question 5(iii)Name the property under multiplication used in each of the following:−1929×29−19=1

    Answer» Question 5(iii)

    Name the property under multiplication used in each of the following:

    1929×2919=1
    6418.

    Select the options that result in a positive number:

    Answer»

    Select the options that result in a positive number:

    6419.

    In an isosceles triangle, if the vertex angle is four times the sum of the base angles, then what are the angles of the triangle? What will be this triangle classifed as according to angles?

    Answer» In an isosceles triangle, if the vertex angle is four times the sum of the base angles, then what are the angles of the triangle?

    What will be this triangle classifed as according to angles?
    6420.

    In the pattern given: if we consider each figure above, each row in that figure has ___ number of squares.

    Answer»

    In the pattern given:

    if we consider each figure above, each row in that figure has ___ number of squares.


    6421.

    The following image is an sketch of:

    Answer»

    The following image is an sketch of:


    6422.

    A fair die is rolled once. The event set of getting a prime number is represented in which of the following way?

    Answer»

    A fair die is rolled once. The event set of getting a prime number is represented in which of the following way?

    6423.

    Solve the following.Hussain Saheb purchases 250 mangoes. 12% of the mangoes are rotten and 10% are damaged. How many mangoes are in good condition?

    Answer»

    Solve the following.



    Hussain Saheb purchases 250 mangoes. 12% of the mangoes are rotten and 10% are damaged. How many mangoes are in good condition?

    6424.

    Some children were asked to name their favourite flavour of ice cream. The result is shown in the following pie chart. Find the number of children who said chocolate was their favourite flavour if 12 students had said that vanilla is their favourite flavour.

    Answer»

    Some children were asked to name their favourite flavour of ice cream. The result is shown in the following pie chart.

    Find the number of children who said chocolate was their favourite flavour if 12 students had said that vanilla is their favourite flavour.


    6425.

    5+=0

    Answer» 5+=0
    6426.

    If 29,4x, and 5y are like fractions, then the value of x+y is ____ .

    Answer»

    If 29,4x, and 5y are like fractions, then the value of x+y is ____ .

    6427.

    Find the missing values in the place value expansion of 713.317 given below:7×a+1×10+3×b+3×c+1100+7×d

    Answer»

    Find the missing values in the place value expansion of 713.317 given below:


    7×a+1×10+3×b+3×c+1100+7×d



    6428.

    In the figure shown, lines l and m are parallel and lines r and t are transversals. Find the measure of x.

    Answer»

    In the figure shown, lines l and m are parallel and lines r and t are transversals. Find the measure of x.



    6429.

    The length, breadth and the height of a tin box are 26 cm, 26 cm and 45 cm respectively. Find the area of tin required to make 30 such boxes. If the cost of tin per square metre is Rs 80/-, find the amount required to make 30 boxes.

    Answer»

    The length, breadth and the height of a tin box are 26 cm, 26 cm and 45 cm respectively. Find the area of tin required to make 30 such boxes. If the cost of tin per square metre is Rs 80/-, find the amount required to make 30 boxes.

    6430.

    How can I solve 3x+7x=10x

    Answer»

    How can I solve 3x+7x=10x

    6431.

    If a = 2 and b = 3, find the value of (ab)a.

    Answer»

    If a = 2 and b = 3, find the value of (ab)a.



    6432.

    Find the area of the shaded portion. A circle is inscribed in a square such that both their centres coincide. BDE is an isosceles triangle. The side of a square is 10m. [4 MARKS]

    Answer»

    Find the area of the shaded portion. A circle is inscribed in a square such that both their centres coincide. BDE is an isosceles triangle. The side of a square is 10m.
    [4 MARKS]

    6433.

    What is the additive inverse of -102?102

    Answer» What is the additive inverse of -102?
    1. 102
    6434.

    The pie chart shows the amount of time that Jaison spends each day on various activities. What is the angle of the sector of the pie chart representing his eating time?

    Answer»

    The pie chart shows the amount of time that Jaison spends each day on various activities.
    What is the angle of the sector of the pie chart representing his eating time?


    6435.

    Refer to the figure: DE is parallel to BC.ADDB = ?

    Answer»

    Refer to the figure: DE is parallel to BC.



    ADDB = ?



    6436.

    Arun's phone has a balance of Rs. 1. After speaking on phone for a while, his balance reduced by 712 Rs. Find his new balance.

    Answer»

    Arun's phone has a balance of Rs. 1. After speaking on phone for a while, his balance reduced by 712 Rs. Find his new balance.


    6437.

    From a circular pizza, Rohan takes out a quarter of it by making two cuts along its radius. And then Krishna took half of the remaining by making a cut along the radius. What is the angle subtended at the centre by the leftover pizza?

    Answer»

    From a circular pizza, Rohan takes out a quarter of it by making two cuts along its radius. And then Krishna took half of the remaining by making a cut along the radius. What is the angle subtended at the centre by the leftover pizza?



    6438.

    A copper wire of resis†an ce R is cut into x parts of equal length. Then x/2 parts are joined in series and remaining x/2 parts are joined parallel. The ratio of the effective resis†an ce of the series and parallel combination is

    Answer» A copper wire of resis†an ce R is cut into x parts of equal length. Then x/2 parts are joined in series and remaining x/2 parts are joined parallel. The ratio of the effective resis†an ce of the series and parallel combination is
    6439.

    In the given figure m(arc AXB) = 120°. Find m(arc AYB)

    Answer» In the given figure m(arc AXB) = 120°. Find m(arc AYB)
    6440.

    If 3x+7=13, then x is ___.

    Answer» If 3x+7=13, then x is ___.
    6441.

    Subtract the difference of (2a-3b+8) and (a+2b+6) from the sum of (8a-5b+3) and (6a+3b+5) .

    Answer» Subtract the difference of (2a-3b+8) and (a+2b+6) from the sum of (8a-5b+3) and (6a+3b+5) .
    6442.

    The price of a TV is ₹13,000. The sales tax charged on it is at the rate of 12%. Find the amount that Vinod will have to pay if he buys it.

    Answer» The price of a TV is ₹13,000. The sales tax charged on it is at the rate of 12%. Find the amount that Vinod will have to pay if he buys it.


    6443.

    Question 54 Fill in the blanks to make the statement true. In a pair of complementary angles, each angle cannot be more than ___ .

    Answer»

    Question 54

    Fill in the blanks to make the statement true.

    In a pair of complementary angles, each angle cannot be more than ___ .

    6444.

    John owns 6 more than twice the number of toy cars that Merry owns. Both of them have a total of 12 toy cars. How many toy cars Merry owns?

    Answer»

    John owns 6 more than twice the number of toy cars that Merry owns.

    Both of them have a total of 12 toy cars. How many toy cars Merry owns?

    6445.

    Question 4(iii) Write the equation for the following statement: Ten times a is 70.

    Answer»

    Question 4(iii)
    Write the equation for the following statement:

    Ten times a is 70.

    6446.

    Question 1In quadrilateral ACBD, AC = AD and AB bisects∠ A (See the given figure). Show that ΔABC≅ΔABD. What can you say about BC and BD?

    Answer» Question 1

    In quadrilateral ACBD, AC = AD and AB bisects A (See the given figure). Show that
    ΔABCΔABD. What can you say about BC and BD?


    6447.

    Find the remainder when 4444⁴⁴⁴⁴ is divided by 9

    Answer» Find the remainder when 4444⁴⁴⁴⁴ is divided by 9
    6448.

    Aman takes some money and goes to 5 temples and as he enters each temple his money doubles, he donates Rs 200 at each temple. At the end of the last temple he has no money left. How much money did he carry at first ?

    Answer»

    Aman takes some money and goes to 5 temples and as he enters each temple his money doubles, he donates Rs 200 at each temple. At the end of the last temple he has no money left. How much money did he carry at first ?

    6449.

    Evaluate (27125)23×(925)−32

    Answer»

    Evaluate (27125)23×(925)32


    6450.

    Which congruence criterion is used in the following?Given: EB = BD, AE = CB, ∠A=∠C=90∘

    Answer» Which congruence criterion is used in the following?

    Given: EB = BD, AE = CB, A=C=90