24740 + Interview Questions in Mathematics Page 13 InterviewSolution

601.	Construct a rhombus whose side is 5 cm and one angle is of 60∘.
Answer» Construct a rhombus whose side is 5 cm and one angle is of $60^{\circ}$ .

Discussion

602.	The expression (2x−3y)3+(x+3y)3+3(2x−3y)2(x+3y)+3(2x−3y)(x+3y)2=
Answer» The expression $(2 x - 3 y)^{3} + (x + 3 y)^{3} + 3 (2 x - 3 y)^{2} (x + 3 y) + 3 (2 x - 3 y) (x + 3 y)^{2} =$

Discussion

603.	Draw arough figure and label suitably in each of the following cases:(a) PointP lies on.(b) andintersectat M.(c) Line lcontains E and F but not D.(d) andmeetat O.
Answer» Draw a rough figure and label suitably in each of the following cases: (a) Point P lies on. (b) and intersect at M. (c) Line l contains E and F but not D. (d) and meet at O.

603.

Draw arough figure and label suitably in each of the following cases:(a) PointP lies on.(b) andintersectat M.(c) Line lcontains E and F but not D.(d) andmeetat O.

Answer»

Draw a
rough figure and label suitably in each of the following cases:

(a) Point
P lies on.

(b) and
intersect
at M.

(c) Line l
contains E and F but not D.

(d) and
meet
at O.

Discussion

604.	Factorise ----- 3x2 - x - 4
Answer» Factorise ----- 3x² - x - 4

Discussion

605.	Tap on the option which has both parallel sides and right angles.
Answer» Tap on the option which has both parallel sides and right angles.

Discussion

606.	Thelongest side of a triangle is 3 times the shortest side and the thirdside is 2 cm shorter than the longest side. If the perimeter of thetriangle is at least 61 cm, find the minimum length of the shortestside.
Answer» The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

Discussion

607.	Fill in the blank with the correct collocation. _________ average
Answer» Fill in the blank with the correct collocation. _________ average

607.

Fill in the blank with the correct collocation. _________ average

Answer»

Fill in the blank with the correct collocation.

_________ average

Discussion

608.	A man running on a horizontal road at 8km/h finds the rain falling vertically.he increases his speed to 12km/h and finds that the drops make angle 30 degree with the vertical.find the speed and direction of the rain with respect to road
Answer» A man running on a horizontal road at 8km/h finds the rain falling vertically.he increases his speed to 12km/h and finds that the drops make angle 30 degree with the vertical.find the speed and direction of the rain with respect to road

Discussion

609.	In the trapezium ABCD, AD \|\| BC and the diagonals intersect at O. Prove that.
Answer» In the trapezium ABCD, AD \|\| BC and the diagonals intersect at O. Prove that.

609.

In the trapezium ABCD, AD || BC and the diagonals intersect at O. Prove that.

Answer»

In the trapezium ABCD, AD || BC and the diagonals intersect at O. Prove that.

Discussion

610.	The line segment joining the mid - points of any two sides of a triangle is parallel to the third side and equal to half of it.In the given figure, the side AC of ΔABC is produced of E such that CE=12AC. If D is the mid - points of BC and ED produced meets AB at F and CP, DQ are drawn parallel to BA, then FD =
Answer» The line segment joining the mid - points of any two sides of a triangle is parallel to the third side and equal to half of it. In the given figure, the side AC of $Δ A B C$ is produced of E such that $C E = \frac{1}{2} A C$ . If D is the mid - points of BC and ED produced meets AB at F and CP, DQ are drawn parallel to BA, then FD =

Discussion

611.	A line segment has ............ end points.
Answer» A line segment has ............ end points.

Discussion

612.	The number of hours for which students of a particular class watched television during holidays is shown in the given graph. How many students watched TV for less than 4 hours?
Answer» The number of hours for which students of a particular class watched television during holidays is shown in the given graph. How many students watched TV for less than 4 hours?

Discussion

613.	The ratio between the radius of the base and height of a cylinder is 2:3. If its volume is 1617 cm3, find the total surface area of the cylinder.
Answer» The ratio between the radius of the base and height of a cylinder is 2:3. If its volume is 1617 $c m^{3}$ , find the total surface area of the cylinder.

Discussion

614.	Which one of the following is an example of Indirect Tax? निम्नलिखित में से कौन सा अप्रत्यक्ष कर का एक उदाहरण है?
Answer» Which one of the following is an example of Indirect Tax? निम्नलिखित में से कौन सा अप्रत्यक्ष कर का एक उदाहरण है?

Discussion

615.	Vector →x is Vectors →x,→y and →z, each of magnitude √2, make an angle of 60∘ with each other.→x×(→y×→z)=→a,→y×(→z×→x)=→b and →x×→y=→c.
Answer» Vector $\to x$ is Vectors $\to x, \to y$ and $\to z,$ each of magnitude $\sqrt{2},$ make an angle of $60^{\circ}$ with each other. $\to x \times (\to y \times \to z) = \to a, \to y \times (\to z \times \to x) = \to b$ and $\to x \times \to y = \to c .$

Discussion

616.	In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 4 : 5. Find the measure of each angles of the quadrilateral.
Answer» In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 4 : 5. Find the measure of each angles of the quadrilateral.

Discussion

617.	Quadrilateral PQRS with PQ = 3.5 cm, QR = 4 cm, RS = 5 cm, PS = 4.5 cm and QS = 6.5 cm
Answer» Quadrilateral PQRS with PQ = 3.5 cm, QR = 4 cm, RS = 5 cm, PS = 4.5 cm and QS = 6.5 cm

Discussion

618.	The zeroes of the polynomialP(x)=ax2+bx+c are 1 and 2. Find the value of a, b and c.
Answer» The zeroes of the polynomial $P (x) = a x^{2} + b x + c$ are 1 and 2. Find the value of $a, b and c$ .

Discussion

619.	(3+√5)(3+√5) is ___.( irrational/rational)
Answer» $(3 + \sqrt{5}) (3 + \sqrt{5})$ is ___.( irrational/rational)

Discussion

620.	15. In triangle ABC with usual notation r1/bc + r2/ca + r3/ab is
Answer» 15. In triangle ABC with usual notation r1/bc + r2/ca + r3/ab is

Discussion

621.	The polynomial ax3+bx2+x – 6 has (x+2) as a factor and leaves a remainder 4 when divided by (x–2). Find a and b.
Answer» The polynomial $a x^{3} + b x^{2} + x - 6$ has $(x + 2)$ as a factor and leaves a remainder 4 when divided by $(x - 2)$ . Find $a$ and $b$ .

Discussion

622.	Question 9 A grouped frequency distribution table with classes of equal sizes using 63 - 72 (72 included) as one of the class is constructed for the following data. 30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88 40, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96 102, 110, 88, 74, 112, 14, 34, 44. The number of classes in the distribution will be: A) 9 B) 10 C) 11 D) 12
Answer» Question 9 A grouped frequency distribution table with classes of equal sizes using 63 - 72 (72 included) as one of the class is constructed for the following data. 30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88 40, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96 102, 110, 88, 74, 112, 14, 34, 44. The number of classes in the distribution will be: A) 9 B) 10 C) 11 D) 12

622.

Question 9 A grouped frequency distribution table with classes of equal sizes using 63 - 72 (72 included) as one of the class is constructed for the following data. 30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88 40, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96 102, 110, 88, 74, 112, 14, 34, 44. The number of classes in the distribution will be: A) 9 B) 10 C) 11 D) 12

Answer» Question 9
A grouped frequency distribution table with classes of equal sizes using 63 - 72 (72 included) as one of the class is constructed for the following data.

30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88

40, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96

102, 110, 88, 74, 112, 14, 34, 44.
The number of classes in the distribution will be:

A) 9
B) 10
C) 11
D) 12

Discussion

623.	if cot B=12/5,prove that tan^2B-sin^2B=sin^4B sec^4B
Answer» if cot B=12/5,prove that tan^2B-sin^2B=sin^4B sec^4B

Discussion

624.	Q36. A linear equation that converts degree to grade is given by9 D = G 10(i) Draw the graph of the given linear equation by taking degree on x-axis and grade on y-axis. (ii) If the degree measure is 81°, then what is the measurement in grade? (iii) If the grade measure is 1109, then what is the measurement in degree? (iv) Is there a measurement which is numerically the same in both degree and grade? If yes, find it.
Answer» Q36. A linear equation that converts degree to grade is given by 9 D = G 10 (i) Draw the graph of the given linear equation by taking degree on x-axis and grade on y-axis. (ii) If the degree measure is 81°, then what is the measurement in grade? (iii) If the grade measure is 1109, then what is the measurement in degree? (iv) Is there a measurement which is numerically the same in both degree and grade? If yes, find it.

Discussion

625.	In the given figure, ABCD and EFGD are two parallelograms and G is the mid point of CD. Then, ar(ΔDPC) : ar(EFGD) = ________.
Answer» In the given figure, ABCD and EFGD are two parallelograms and G is the mid point of CD. Then, ar(ΔDPC) : ar(EFGD) = ________.

Discussion

626.	The ratio of the area of a square of side a and that of an equilateral triangle of side a is(a) 2 : 1 (b) 2 : 3 (c) 4 : 3 (d) 4 : 3
Answer» The ratio of the area of a square of side a and that of an equilateral triangle of side a is (a) 2 : 1 (b) 2 : $\sqrt{3}$ (c) 4 : 3 (d) 4 : $\sqrt{3}$

Discussion

627.	If 3 and -3 are two zeros of the polynomial (x4+x3−11x2−9x+18), find all the zeros of the given polynomial.
Answer» If 3 and -3 are two zeros of the polynomial $(x^{4} + x^{3} - 11 x^{2} - 9 x + 18)$ , find all the zeros of the given polynomial.

Discussion

628.	The triangular side walls of a flyover have been used for advertisement. The sides of the walls are 122 m, 22 m, and 120 m (see the given figure). The advertisements yield an earning of Rs 5000 per m2 per year. A company hired one of its walls for 3 months. How much rent did it pay?
Answer» The triangular side walls of a flyover have been used for advertisement. The sides of the walls are 122 m, 22 m, and 120 m (see the given figure). The advertisements yield an earning of Rs 5000 per $m^{2}$ per year. A company hired one of its walls for 3 months. How much rent did it pay?

Discussion

629.	The base and altitude of a triangle are 3 cm and 8 cm respectively.Find the area of the triangle.
Answer» The base and altitude of a triangle are 3 cm and 8 cm respectively.Find the area of the triangle.

Discussion

630.	if a+b+c=0 then find the value of a⁴+b⁴+c⁴-2b²c²-2a²b²-2a²c²
Answer» if a+b+c=0 then find the value of a⁴+b⁴+c⁴-2b²c²-2a²b²-2a²c²

Discussion

631.	Find p(0), p(1) and p(2) for each of the following polynomials:(i) p(x)=x3(ii) p(x)=(x−1)(x+1)
Answer» Find p(0), p(1) and p(2) for each of the following polynomials: (i) $p (x) = x^{3}$ (ii) $p (x) = (x - 1) (x + 1)$

Discussion

632.	The number of nodal planes in Px is ?
Answer» The number of nodal planes in Px is ?

Discussion

633.	In the given figure, AE and BC are chords of the circle, O is the centre of the circle and ∠AOB=60∘. The value of (∠AEB+∠ACB) is
Answer» In the given figure, AE and BC are chords of the circle, O is the centre of the circle and $∠ A O B = 60^{\circ} .$ The value of $(∠ A E B + ∠ A C B)$ is

Discussion

634.	For any two sets A and B, A∩A∪B' is equal to(a) A (b) B (c) ϕ (d) A∩B
Answer» For any two sets A and B, $A \cap (A \cup B)'$ is equal to (a) A (b) B (c) $ϕ$ (d) $A \cap B$

Discussion

635.	The equation of the line which cuts off an intercept 3 units on OX and an intercept -2 unit on OY, is
Answer» The equation of the line which cuts off an intercept 3 units on OX and an intercept -2 unit on OY, is

Discussion

636.	Question 1(i)Find the product of the following pairs of monomials: (i) 4, 7p
Answer» Question 1(i) Find the product of the following pairs of monomials: (i) 4, 7p

Discussion

637.

Prepare Trading and Profit and Loss Account for the year ended 31st March, 2019 and Balance Sheet as at that date from the following Trial Balance: Particulars Dr. (₹) Cr. (₹) Capital … 1,00,000 Cash 15,000 … Bank Loan … 20,000 Purchases 1,20,000 … Sales … 1,50,000 Sales Return 10,000 … Purchases Return … 20,000 Establishment Expenses 22,000 … Taxes and Insurance 5,000 ... Bad Debts 5,000 … Provision for Doubtful Debts … 7,000 Debtors 50,000 … Creditors … 20,000 Commission … 5,000 Deposits 40,000 … Opening Stock 30,000 … Drawings 14,000 … Furniture 6,000 … Bills Receivable 32,000 … Bills Payable … 25,000 Input CGST 10,000 ... Input SGST 10,000 … Output CGST … 8,000 Output SGST … 8,000 Output IGST … 6,000 Total 3,69,000 3,69,000 Adjustments:(i) Taxes ₹ 3,000 are outstanding but Insurance ₹ 500 is prepaid.(ii) Commission ₹ 1,000 received in advance for the next year.(iii) Interest ₹ 2,100 is to be received on Deposits and Interest on Bank Loan ₹ 3,000 is to be paid.(iv) Provision for Doubtful Debts to be maintained at ₹ 10,000.(v) Depreciate Furniture by 10%.(vi) Stock on 31st March, 2019 is ₹ 45,000.(vii) A fire occurred on 1st April, 2019 destroying goods costing ₹ 10,000. These goods were purchased paying CGST and SGST 6% each.

Answer» Prepare Trading and Profit and Loss Account for the year ended 31st March, 2019 and Balance Sheet as at that date from the following Trial Balance:

Particulars	Dr. (₹)	Cr. (₹)
Capital	…	1,00,000
Cash	15,000	…
Bank Loan	…	20,000
Purchases	1,20,000	…
Sales	…	1,50,000
Sales Return	10,000	…
Purchases Return	…	20,000
Establishment Expenses	22,000	…
Taxes and Insurance	5,000	...
Bad Debts	5,000	…
Provision for Doubtful Debts	…	7,000
Debtors	50,000	…
Creditors	…	20,000
Commission	…	5,000
Deposits	40,000	…
Opening Stock	30,000	…
Drawings	14,000	…
Furniture	6,000	…
Bills Receivable	32,000	…
Bills Payable	…	25,000
Input CGST	10,000	...
Input SGST	10,000	…
Output CGST	…	8,000
Output SGST	…	8,000
Output IGST	…	6,000
Total	3,69,000	3,69,000

Adjustments:

(i) Taxes ₹ 3,000 are outstanding but Insurance ₹ 500 is prepaid.

(ii) Commission ₹ 1,000 received in advance for the next year.

(iii) Interest ₹ 2,100 is to be received on Deposits and Interest on Bank Loan ₹ 3,000 is to be paid.

(iv) Provision for Doubtful Debts to be maintained at ₹ 10,000.

(v) Depreciate Furniture by 10%.

(vi) Stock on 31st March, 2019 is ₹ 45,000.

(vii) A fire occurred on 1st April, 2019 destroying goods costing ₹ 10,000. These goods were purchased paying CGST and SGST 6% each.

Discussion

638.	Express each of the following as a fraction in simplest form:(i) 0.8(ii) 2.4(iii) 0.24(iv) 0.12(v) 2.24(vi) 0.365
Answer» Express each of the following as a fraction in simplest form: (i) $0.8$ (ii) $2.4$ (iii) $0.24$ (iv) $0.12$ (v) $2.24$ (vi) $0.365$

Discussion

639.	If the value of tanα=52 find the value of cotθ if α+θ=90∘.
Answer» If the value of $t a n α = \frac{5}{2}$ find the value of $c o t θ$ if $α + θ = 90^{\circ}$ .

Discussion

640.	Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:
Answer» Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

640.

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

Answer»

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

Discussion

641.	Steve is standing at number 38 on a number line. If he jumps 7 steps to right and then again 3 steps to the right, where will he be standing now?
Answer» Steve is standing at number 38 on a number line. If he jumps 7 steps to right and then again 3 steps to the right, where will he be standing now?

Discussion

642.	An item marked at Rs 840 is sold for Rs 714. What is the discount%? ___
Answer» An item marked at Rs 840 is sold for Rs 714. What is the discount%? ___

Discussion

643.	The water bills (in rupees) of 32 houses in a certain street for the period 01/01/98 to 31/03/98 given below: 56, 43, 32, 38, 56, 24, 68, 85, 52, 47, 35, 58, 63, 74, 27, 84, 69, 35, 44, 75, 55, 30, 54, 45, 67, 95, 72, 43, 65, 35, 59. Tabulate the data and present the data as a cumulative frequency table using 70-79 as one of the class intervals.
Answer» The water bills (in rupees) of 32 houses in a certain street for the period 01/01/98 to 31/03/98 given below: 56, 43, 32, 38, 56, 24, 68, 85, 52, 47, 35, 58, 63, 74, 27, 84, 69, 35, 44, 75, 55, 30, 54, 45, 67, 95, 72, 43, 65, 35, 59. Tabulate the data and present the data as a cumulative frequency table using 70-79 as one of the class intervals.

643.

The water bills (in rupees) of 32 houses in a certain street for the period 01/01/98 to 31/03/98 given below: 56, 43, 32, 38, 56, 24, 68, 85, 52, 47, 35, 58, 63, 74, 27, 84, 69, 35, 44, 75, 55, 30, 54, 45, 67, 95, 72, 43, 65, 35, 59. Tabulate the data and present the data as a cumulative frequency table using 70-79 as one of the class intervals.

Answer»

The water bills (in rupees) of 32 houses in a certain street for the period 01/01/98 to 31/03/98 given below:
56, 43, 32, 38, 56, 24, 68, 85, 52, 47,

35, 58, 63, 74, 27, 84, 69, 35, 44, 75,

55, 30, 54, 45, 67, 95, 72, 43, 65, 35, 59.

Tabulate the data and present the data as a cumulative frequency table using 70-79 as one of the class intervals.

Discussion

644.	Let a,b and c be such that a+b+c =0 and P = a²/(2a²+bc) + b²/(2b²+ca) + c²/(2c²+ab) is defined. What is the value of P ?
Answer» Let a,b and c be such that a+b+c =0 and P = a²/(2a²+bc) + b²/(2b²+ca) + c²/(2c²+ab) is defined. What is the value of P ?

Discussion

645.	Select the factors of a2+7a+12.
Answer» Select the factors of $a^{2} + 7 a + 12.$

Discussion

646.	∫_1^ex\log(x
Answer» ∫_1^ex\log(x

Discussion

647.	Solve 22x+3 − 9 × 2x + 1 = 0
Answer» Solve $2^{2 x + 3} - 9 \times 2^{x} + 1 = 0$

Discussion

648.	Question 121 16×102×6424×42
Answer» Question 121 $\frac{16 \times 10^{2} \times 64}{2^{4} \times 4^{2}}$

648.

Question 121 16×102×6424×42

Answer»

Question 121

$\frac{16 \times 10^{2} \times 64}{2^{4} \times 4^{2}}$

Discussion

649.	Find the area of the shaded region where ABC is a quadrant of radius 5 cm and a semicircle is drawn with BC as diameter.
Answer» Find the area of the shaded region where ABC is a quadrant of radius 5 cm and a semicircle is drawn with BC as diameter.

649.

Find the area of the shaded region where ABC is a quadrant of radius 5 cm and a semicircle is drawn with BC as diameter.

Answer»

Find the area of the shaded region where ABC is a quadrant of radius 5 cm and a semicircle is drawn with BC as diameter.

Discussion

650.	The area of a trapezium whose parallel sides are 25 m, 10 m and non-parallel sides are 14 m, 13 m is
Answer» The area of a trapezium whose parallel sides are 25 m, 10 m and non-parallel sides are 14 m, 13 m is

Discussion

Explore topic-wise InterviewSolutions in .

Construct a rhombus whose side is 5 cm and one angle is of 60∘.

The expression (2x−3y)3+(x+3y)3+3(2x−3y)2(x+3y)+3(2x−3y)(x+3y)2=

Draw arough figure and label suitably in each of the following cases:(a) PointP lies on.(b) andintersectat M.(c) Line lcontains E and F but not D.(d) andmeetat O.

Factorise ----- 3x2 - x - 4

Tap on the option which has both parallel sides and right angles.

Thelongest side of a triangle is 3 times the shortest side and the thirdside is 2 cm shorter than the longest side. If the perimeter of thetriangle is at least 61 cm, find the minimum length of the shortestside.

Fill in the blank with the correct collocation. _________ average

A man running on a horizontal road at 8km/h finds the rain falling vertically.he increases his speed to 12km/h and finds that the drops make angle 30 degree with the vertical.find the speed and direction of the rain with respect to road

In the trapezium ABCD, AD || BC and the diagonals intersect at O. Prove that.

A line segment has ............ end points.

The number of hours for which students of a particular class watched television during holidays is shown in the given graph. How many students watched TV for less than 4 hours?

The ratio between the radius of the base and height of a cylinder is 2:3. If its volume is 1617 cm3, find the total surface area of the cylinder.

Which one of the following is an example of Indirect Tax? निम्नलिखित में से कौन सा अप्रत्यक्ष कर का एक उदाहरण है?

Vector →x is Vectors →x,→y and →z, each of magnitude √2, make an angle of 60∘ with each other.→x×(→y×→z)=→a,→y×(→z×→x)=→b and →x×→y=→c.

In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 4 : 5. Find the measure of each angles of the quadrilateral.

Quadrilateral PQRS with PQ = 3.5 cm, QR = 4 cm, RS = 5 cm, PS = 4.5 cm and QS = 6.5 cm

The zeroes of the polynomialP(x)=ax2+bx+c are 1 and 2. Find the value of a, b and c.

(3+√5)(3+√5) is ___.( irrational/rational)

15. In triangle ABC with usual notation r1/bc + r2/ca + r3/ab is

The polynomial ax3+bx2+x – 6 has (x+2) as a factor and leaves a remainder 4 when divided by (x–2). Find a and b.

if cot B=12/5,prove that tan^2B-sin^2B=sin^4B sec^4B

In the given figure, ABCD and EFGD are two parallelograms and G is the mid point of CD. Then, ar(ΔDPC) : ar(EFGD) = ________.

The ratio of the area of a square of side a and that of an equilateral triangle of side a is(a) 2 : 1 (b) 2 : 3 (c) 4 : 3 (d) 4 : 3

If 3 and -3 are two zeros of the polynomial (x4+x3−11x2−9x+18), find all the zeros of the given polynomial.

The triangular side walls of a flyover have been used for advertisement. The sides of the walls are 122 m, 22 m, and 120 m (see the given figure). The advertisements yield an earning of Rs 5000 per m2 per year. A company hired one of its walls for 3 months. How much rent did it pay?

The base and altitude of a triangle are 3 cm and 8 cm respectively.Find the area of the triangle.

if a+b+c=0 then find the value of a⁴+b⁴+c⁴-2b²c²-2a²b²-2a²c²

Find p(0), p(1) and p(2) for each of the following polynomials:(i) p(x)=x3(ii) p(x)=(x−1)(x+1)

The number of nodal planes in Px is ?

In the given figure, AE and BC are chords of the circle, O is the centre of the circle and ∠AOB=60∘. The value of (∠AEB+∠ACB) is

For any two sets A and B, A∩A∪B' is equal to(a) A (b) B (c) ϕ (d) A∩B

The equation of the line which cuts off an intercept 3 units on OX and an intercept -2 unit on OY, is

Question 1(i)Find the product of the following pairs of monomials: (i) 4, 7p

Express each of the following as a fraction in simplest form:(i) 0.8(ii) 2.4(iii) 0.24(iv) 0.12(v) 2.24(vi) 0.365

If the value of tanα=52 find the value of cotθ if α+θ=90∘.

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

Steve is standing at number 38 on a number line. If he jumps 7 steps to right and then again 3 steps to the right, where will he be standing now?

An item marked at Rs 840 is sold for Rs 714. What is the discount%? ___

Let a,b and c be such that a+b+c =0 and P = a²/(2a²+bc) + b²/(2b²+ca) + c²/(2c²+ab) is defined. What is the value of P ?

Select the factors of a2+7a+12.

∫_1^ex\log(x

Solve 22x+3 − 9 × 2x + 1 = 0

Question 121 16×102×6424×42

Find the area of the shaded region where ABC is a quadrant of radius 5 cm and a semicircle is drawn with BC as diameter.

The area of a trapezium whose parallel sides are 25 m, 10 m and non-parallel sides are 14 m, 13 m is