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Multiply and write the answer in the simplest form: 5√7 × 2√7
Multiply and write the answer in the simplest form: 5√7 × 2√7
70
If 3x + 5y = 9 and 5x + 3y = 7, then find the value of x + y.
If 3x + 5y = 9 and 5x + 3y = 7, then find the value of x + y.
2
Write the ratio of second quantity to first quantity in the reduced form: 5 dozen pens, 120 pens.
Write the ratio of second quantity to first quantity in the reduced form: 5 dozen pens, 120 pens.
1:1
Write the following polynomial in coefficient form: 2x² + x² – 3x + 4.
Write the following polynomial in coefficient form: 2x² + x² – 3x + 4.
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For computation of income tax which is the assessment year of financial year 01-04-2016 to 31-03-2017?
For computation of income tax which is the assessment year of financial year 01-04-2016 to 31-03-2017?
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Find the value of the polynomial 2x³ + 2x, when x = −1.
Find the value of the polynomial 2x³ + 2x, when x = −1.
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Sangeeta's monthly income is ₹25,000. She spent 90% of her income and donated 3% for socially useful causes. How much money did she save?
Sangeeta's monthly income is ₹25,000. She spent 90% of her income and donated 3% for socially useful causes. How much money did she save?
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First term and common difference of an A.P. are 12 and 4 respectively. If tn = 96, find n.
First term and common difference of an A.P. are 12 and 4 respectively. If tn = 96, find n.
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If (4/m) * (5/3) = 22, then find the value of m.
If (4/m) * (5/3) = 22, then find the value of m.
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Solve the following quadratic equation: x² + 8x + 15 = 0.
Solve the following quadratic equation: x² + 8x + 15 = 0.
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Smita has invested ₹ 12,000 to purchase shares of FV rs 10 at a premium of 2. Find the number of shares she purchased.
Smita has invested ₹ 12,000 to purchase shares of FV rs 10 at a premium of 2. Find the number of shares she purchased.
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The following table shows the daily supply of electricity to different places in a town. To show the information by a pie diagram, measures of central angles of sectors are to be decided. Complete the following activity to find the measures:
The following table shows the daily supply of electricity to different places in a town. To show the information by a pie diagram, measures of central angles of sectors are to be decided. Complete the following activity to find the measures:
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Find the 19th term of the A.P. 7, 13, 19, 25, ...
Find the 19th term of the A.P. 7, 13, 19, 25, ...
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Obtain a quadratic equation whose roots are –3 and -7.
Obtain a quadratic equation whose roots are –3 and -7.
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Two numbers differ by 3. The sum of the greater number and twice the smaller number is 15. Find the smaller number.
Two numbers differ by 3. The sum of the greater number and twice the smaller number is 15. Find the smaller number.
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Amit saves certain amount every month in a specific way. In the first month he saves 200, in the second month₹250, in the third month 300 and so on. How much will be his total savings in 17 months?
Amit saves certain amount every month in a specific way. In the first month he saves 200, in the second month₹250, in the third month 300 and so on. How much will be his total savings in 17 months?
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A two digit number is to be formed using the digits 0, 1, 2, 3. Repetition of the digits is allowed. Find the probability that a number so formed is a prime number.
A two digit number is to be formed using the digits 0, 1, 2, 3. Repetition of the digits is allowed. Find the probability that a number so formed is a prime number.
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Smt. Malhotra purchased solar panels for the taxable value of * 85,000. She sold them for *90,000. The rate of GST is 5%. Find the ITC of Smt. Malhotra. What is the amount of GST payable by her?
Smt. Malhotra purchased solar panels for the taxable value of * 85,000. She sold them for *90,000. The rate of GST is 5%. Find the ITC of Smt. Malhotra. What is the amount of GST payable by her?
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Solve the following simultaneous equations graphically: x + y = 0; 2x -y = 9.
Solve the following simultaneous equations graphically: x + y = 0; 2x -y = 9.
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The following frequency distribution table shows marks obtained by 180 students in Mathematics examination: Find the value of x.
The following frequency distribution table shows marks obtained by 180 students in Mathematics examination: Find the value of x.
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Two taps together can fill a tank completely in 3 minutes. The smaller tap takes 3 minutes more than the bigger tap to fill the tank. How much time does each tap take to fill the tank completely?
Two taps together can fill a tank completely in 3 minutes. The smaller tap takes 3 minutes more than the bigger tap to fill the tank. How much time does each tap take to fill the tank completely?
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The co-ordinates of the point of intersection of lines ax + by = 9 and bx + ay = 5 is (3, −1). Find the values of a and b.
The co-ordinates of the point of intersection of lines ax + by = 9 and bx + ay = 5 is (3, −1). Find the values of a and b.
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Find the median of the following set of numbers: 66, 98, 54, 92, 87, 63, 72.
Find the median of the following set of numbers: 66, 98, 54, 92, 87, 63, 72.
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Simplify the following expression: 5√7 × 2√7
Simplify the following expression: 5√7 × 2√7
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If 3x + 5y = 9 and 5x + 3y = 7, then what is the value of x + y?
If 3x + 5y = 9 and 5x + 3y = 7, then what is the value of x + y?
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Write the ratio of the second quantity to the first quantity in its simplest form: 5 dozen pens, 120 pens.
Write the ratio of the second quantity to the first quantity in its simplest form: 5 dozen pens, 120 pens.
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For computation of income tax, what is the assessment year for the financial year 01-04-2016 to 31-03-2017?
For computation of income tax, what is the assessment year for the financial year 01-04-2016 to 31-03-2017?
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If 4/m = 22, then find the value of m.
If 4/m = 22, then find the value of m.
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Smita has invested ₹ 12,000 to purchase shares of FV Rs 10 at a premium of ₹ 2, Find the number of shares she purchased.
Smita has invested ₹ 12,000 to purchase shares of FV Rs 10 at a premium of ₹ 2, Find the number of shares she purchased.
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The following table shows the daily supply of electricity to different places in a town. To show the information by a pie diagram, measures of central angles of sectors are to be decided. Complete the following table to find the measures:
The following table shows the daily supply of electricity to different places in a town. To show the information by a pie diagram, measures of central angles of sectors are to be decided. Complete the following table to find the measures:
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Two coins are tossed simultaneously. Complete the following activity of writing the sample space (S) and expected outcomes of the events:
a. Event A: to get at least one head.
b. Event B: to get no head.
Activity: If two coins are tossed simultaneously
S = {HH, TT, HT, TH}
a. Event A: at least getting one head.
.. A = {HH, HT, TH}
b. Event B: to get no head.
B = {TT}
Two coins are tossed simultaneously. Complete the following activity of writing the sample space (S) and expected outcomes of the events: a. Event A: to get at least one head. b. Event B: to get no head.
Activity: If two coins are tossed simultaneously
S = {HH, TT, HT, TH}
a. Event A: at least getting one head. .. A = {HH, HT, TH} b. Event B: to get no head. B = {TT}
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Amit saves certain amount every month in a specific way. In the first month he saves ₹ 200, in the second month₹250, in the third month ₹300 and so on. How much will be his total savings in 17 months?
Amit saves certain amount every month in a specific way. In the first month he saves ₹ 200, in the second month₹250, in the third month ₹300 and so on. How much will be his total savings in 17 months?
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Smt. Malhotra purchased solar panels for the taxable value of ₹ 85,000. She sold them for ₹ 90,000. The rate of GST is 5%. Find the ITC of Smt. Malhotra. What is the amount of GST payable by her?
Smt. Malhotra purchased solar panels for the taxable value of ₹ 85,000. She sold them for ₹ 90,000. The rate of GST is 5%. Find the ITC of Smt. Malhotra. What is the amount of GST payable by her?
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The following frequency distribution table shows marks obtained by 180 students in Mathematics examination:
Marks
Number of Students
0-10
25
10-20
X
20-30
30
30-40
2X
40-50
65
Find the value of x.
The following frequency distribution table shows marks obtained by 180 students in Mathematics examination:
Marks Number of Students 0-10 25 10-20 X 20-30 30 30-40 2X 40-50 65
Find the value of x.
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If | 7 |× |-4 | = a, then find the value of a.
If | 7 |× |-4 | = a, then find the value of a.
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If x + y = 5 and x - y = 1, then find the value of x.
If x + y = 5 and x - y = 1, then find the value of x.
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Find the median of the scores 7, 10, 5, 8, 9.
Find the median of the scores 7, 10, 5, 8, 9.
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Write the degree of Polynomial 5x² + 2x + 3x² + 4.
Write the degree of Polynomial 5x² + 2x + 3x² + 4.
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If A = {1, 2, 3, 4, 5} and B = {1, 3, 7}, then A ∩ B = ?
If A = {1, 2, 3, 4, 5} and B = {1, 3, 7}, then A ∩ B = ?
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Find out the ratio of 1 mm to 1 cm.
Find out the ratio of 1 mm to 1 cm.
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Find the factors of Polynomial 3x² – 2x – 1.
Find the factors of Polynomial 3x² – 2x – 1.
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ABCD is a parallelogram. The ratio of measures of ∠A and ∠B is 5 : 4. Find the measure of ∠B.
ABCD is a parallelogram. The ratio of measures of ∠A and ∠B is 5 : 4. Find the measure of ∠B.
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Alka spends 90% of the money that she gets every month and saves ₹120. How much money does she get monthly?
Alka spends 90% of the money that she gets every month and saves ₹120. How much money does she get monthly?
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Find the value of k, if x = 3 is a root of the equation kx² – 10x + 3 = 0
Find the value of k, if x = 3 is a root of the equation kx² – 10x + 3 = 0
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Market value of a share is ₹200 The brokerage rate is 0.3%, then find the purchase value of share.
Market value of a share is ₹200 The brokerage rate is 0.3%, then find the purchase value of share.
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The following table shows the number of students and the time they utilized daily for their studies. Find the mean time, spent by students for their studies:
Time (hrs.)
No. of Students
0-2
8
2-4
14
4-6
18
6-8
10
8-10
10
The following table shows the number of students and the time they utilized daily for their studies. Find the mean time, spent by students for their studies:
Time (hrs.) No. of Students 0-2 8 2-4 14 4-6 18 6-8 10 8-10 10
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There are 9 tickets in a box, each bearing one of the numbers from 1 to 9. One ticket is drawn at random from the box.
Event A: Ticket shows an even number.
Complete the following activity from the given information:
Activity:
S = {1, 2, 3, 4, 5, 6, 7, 8, 9}
n(S) = 9
A = {2, 4, 6, 8}
n(A) = 4
There are 9 tickets in a box, each bearing one of the numbers from 1 to 9. One ticket is drawn at random from the box. Event A: Ticket shows an even number. Complete the following activity from the given information: Activity: S = {1, 2, 3, 4, 5, 6, 7, 8, 9} n(S) = 9 A = {2, 4, 6, 8} n(A) = 4
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Complete the following activity to form a quadratic equation.
Complete the following activity to form a quadratic equation.
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Complete the following activity to find the number of natural numbers between 1 and 171, which are divisible by 5:
Complete the following activity to find the number of natural numbers between 1 and 171, which are divisible by 5:
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Solve the following simultaneous equations: 4x + 3y = 11; 3x + 4y = 10.
Solve the following simultaneous equations: 4x + 3y = 11; 3x + 4y = 10.
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Find the 23rd term of the following A.P.: 9, 4, -1, -6, -11,...
Find the 23rd term of the following A.P.: 9, 4, -1, -6, -11,...
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Find the mode from the following information: L = 10, h = 2, fo = 58, f₁ = 70, f2 = 42.
Find the mode from the following information: L = 10, h = 2, fo = 58, f₁ = 70, f2 = 42.
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Sachin invested some amounts in National Saving Certificates in a specific way. In the first year he invested ₹4,000 in the second year ₹6,000 in the third year₹ 8,000 and so on for 12 years. Find the total amount he invested in 12 years.
Sachin invested some amounts in National Saving Certificates in a specific way. In the first year he invested ₹4,000 in the second year ₹6,000 in the third year₹ 8,000 and so on for 12 years. Find the total amount he invested in 12 years.
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A readymade garment shopkeeper gives 5% discount on a dress of ₹2,000 and charges 5% GST on the remaining amount. What is the purchase price of the dress for the customer?
A readymade garment shopkeeper gives 5% discount on a dress of ₹2,000 and charges 5% GST on the remaining amount. What is the purchase price of the dress for the customer?
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Out of 555 km, Vishal travelled certain distance by bus and remaining distance by car. Bus travels with an average speed of 60 km/hr and the average speed of car is 75 km/hr. He takes total 8 hours to complete the journey. Find the distance that Vishal travelled by bus.
Out of 555 km, Vishal travelled certain distance by bus and remaining distance by car. Bus travels with an average speed of 60 km/hr and the average speed of car is 75 km/hr. He takes total 8 hours to complete the journey. Find the distance that Vishal travelled by bus.
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The time required for some students to complete a science experiment and the number of students is shown in the following grouped frequency distribution table. Draw the frequency polygon with the help of histogram using given information:
Time required
for experiment
(minutes)
Number of
Students
20-22
6
22-24
14
24-26
20
26-28
16
28-30
12
30-32
10
The time required for some students to complete a science experiment and the number of students is shown in the following grouped frequency distribution table. Draw the frequency polygon with the help of histogram using given information:
Time required for experiment (minutes) Number of Students 20-22 6 22-24 14 24-26 20 26-28 16 28-30 12 30-32 10
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Construct a word problem on quadratic equation, such that one of its answers is 20 (years, rupees, centimetre etc.). Also solve it.
Construct a word problem on quadratic equation, such that one of its answers is 20 (years, rupees, centimetre etc.). Also solve it.
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