32581 + Interview Questions in Mathematics Page 199 InterviewSolution

9901.	(cosecA-cotA)2=1-cosA/1+cosA
Answer» (cosecA-cotA)²=1-cosA/1+cosA

Discussion

9902.	The first term of an arithmetic sequence is 7 and the common difference is −2. What is its 12th term?
Answer» The first term of an arithmetic sequence is 7 and the common difference is −2. What is its 12^th term?

Discussion

9903.	In x class, if three students sit on bench, one student will be left. If four students sit on each bench, one bench will left. Find the number of students and number of benches in class.
Answer» In x class, if three students sit on bench, one student will be left. If four students sit on each bench, one bench will left. Find the number of students and number of benches in class.

Discussion

9904.	ABCD is a quadrilateral and let −−→AB=→a,−−→AD=→b,−−→AC=m→a+n→b. Then the area of the quadrilateral is
Answer» $A B C D$ is a quadrilateral and let $- - \to A B = \to a, - - \to A D = \to b, - - \to A C = m \to a + n \to b$ . Then the area of the quadrilateral is

Discussion

9905.	The angle of elevation of the sun when the shadow of a pole h meter high is 3h meters long is __________.
Answer» The angle of elevation of the sun when the shadow of a pole h meter high is $\sqrt{3} h$ meters long is __________.

Discussion

9906.	Find the lengths of the medians of a triangle ABC whose vertices are A(7, –3), B(5, 3) and C(3, –1). [4 MARKS]
Answer» Find the lengths of the medians of a triangle ABC whose vertices are A(7, –3), B(5, 3) and C(3, –1). [4 MARKS]

Discussion

9907.	In a circle of radius 7 cm, AB and QC are two equal chords. If the line joining the points B and Q passes through the centre of the circle then find the length of the line joining B and Q.
Answer» In a circle of radius 7 cm, AB and QC are two equal chords. If the line joining the points B and Q passes through the centre of the circle then find the length of the line joining B and Q.

Discussion

9908.	Consider a hash table with 100 slots. Collisions are resolved using chaining. Assuming simple uniform hashing, what is the probability that the first 3 slots are unfilled after the first 3 insertions?
Answer» Consider a hash table with 100 slots. Collisions are resolved using chaining. Assuming simple uniform hashing, what is the probability that the first 3 slots are unfilled after the first 3 insertions?

Discussion

9909.	The perimeter of Δ 𝑳𝑴𝑵 is 𝟑𝟐 𝐜𝐦. NX is the angle bisector of angle 𝑵, 𝑳𝑿 = 𝟑 𝐜𝐦, and 𝑿𝑴 = 𝟓 𝐜𝐦. Find 𝑳𝑵 and 𝑴𝑵.
Answer» The perimeter of $Δ$ 𝑳𝑴𝑵 is 𝟑𝟐 𝐜𝐦. NX is the angle bisector of angle 𝑵, 𝑳𝑿 = 𝟑 𝐜𝐦, and 𝑿𝑴 = 𝟓 𝐜𝐦. Find 𝑳𝑵 and 𝑴𝑵.

Discussion

9910.	The points representing the complex number z for which \|z + 1\| < \|z – 1\| lie on the left side of ____________.
Answer» The points representing the complex number z for which \|z + 1\| < \|z – 1\| lie on the left side of ____________.

Discussion

9911.	Let ABCD be a convex quadrilateral such that all of its sides and diagonals have integer lengths. Given ∠ABC=∠ADC=90∘, AB=BD and CD=41. The length of BC is
Answer» Let $A B C D$ be a convex quadrilateral such that all of its sides and diagonals have integer lengths. Given $∠ A B C = ∠ A D C = 90^{\circ},$ $A B = B D$ and $C D = 41.$ The length of $B C$ is

Discussion

9912.	The sum of the digits of a 2digit number is 9. Also 9times the number is twice the number obtained by reversing the order of digits. Find the number.
Answer» The sum of the digits of a 2digit number is 9. Also 9times the number is twice the number obtained by reversing the order of digits. Find the number.

Discussion

9913.	70 trees were planted by Parth and 90 trees were planted by Pradnya on the occasion of Tree Plantation Week. Out of these; 25 trees were planted by both of them together. How many trees were planted by Parth or Pradnya ?
Answer» 70 trees were planted by Parth and 90 trees were planted by Pradnya on the occasion of Tree Plantation Week. Out of these; 25 trees were planted by both of them together. How many trees were planted by Parth or Pradnya ?

Discussion

9914.	Let f be a polynomial functionsuch that f (3x)=f(x).f"(x),for all x E R. Then:(1) f(2) + f'(2) = 28 (2) f"(2)-f(2) =0 ,(3) f (2)-f'(2) + f"(2) =10
Answer» Let f be a polynomial functionsuch that f (3x)=f(x).f"(x),for all x E R. Then:(1) f(2) + f'(2) = 28 (2) f"(2)-f(2) =0 ,(3) f (2)-f'(2) + f"(2) =10

Discussion

9915.	In ∆ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are __________ but not __________.
Answer» In ∆ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are __________ but not __________.

Discussion

9916.	Four points A, B, C, D are given on circle. Line segment AB and CD are parallel. Find the area of the figure formed by these points.
Answer» Four points A, B, C, D are given on circle. Line segment AB and CD are parallel. Find the area of the figure formed by these points.

Discussion

9917.	cos Acot A+sin A= ?
Answer» $\frac{c o s A}{c o t A} + s i n A = ?$

Discussion

9918.	The nth term of an A.P. is 6n + 2. Find the common difference.
Answer» The nth term of an A.P. is 6n + 2. Find the common difference.

Discussion

9919.	A single discount equivalent to a single discount series of 25%,20%,10% is A)46B)55C)54D)45
Answer» A single discount equivalent to a single discount series of 25%,20%,10% is A)46 B)55 C)54 D)45

Discussion

9920.	Two dice are thrown at the same time. Find the probability of getting different numbers on both dice.
Answer» Two dice are thrown at the same time. Find the probability of getting different numbers on both dice.

Discussion

9921.	In the adjoining figure, prove that △FGH and △QPR are similar.
Answer» In the adjoining figure, prove that $△ F G H$ and $△ Q P R$ are similar.

Discussion

9922.	The ratio in which the point P(-3,y) divides the line segment joining the points A(-5,-4) and B(-2,3) is
Answer» The ratio in which the point P(-3,y) divides the line segment joining the points A(-5,-4) and B(-2,3) is

Discussion

9923.	The probability of getting a red card from a well shuffled pack of 52 cards is___
Answer» The probability of getting a red card from a well shuffled pack of 52 cards is___

Discussion

9924.	what will be the volume of the thickness of a cuboi
Answer» what will be the volume of the thickness of a cuboi

Discussion

9925.	A scale was placed near a rectangular block. If its width is half of its height, find the value of the width.
Answer» A scale was placed near a rectangular block. If its width is half of its height, find the value of the width.

Discussion

9926.	A company declares 8 % half yearly dividend. A person has 250 shares of ₹ 20 (nominal value) each. What will he receive as yearly dividend?
Answer» A company declares 8 % half yearly dividend. A person has 250 shares of ₹ 20 (nominal value) each. What will he receive as yearly dividend?

Discussion

9927.	In the adjacent Figure ,if seg AB \|\| seg PQ , seg AB ≅seg PQ, seg AC \|\| seg PR, seg AC ≅ seg PR then prove that, seg BC \|\| seg QR and seg BC≅seg QR.
Answer» In the adjacent Figure , if seg AB \|\| seg PQ , seg AB $≅$ seg PQ, seg AC \|\| seg PR, seg AC $≅$ seg PR then prove that, seg BC \|\| seg QR and seg BC $≅$ seg QR.

Discussion

9928.	what is normality, equivalents and equivalent concept(theory wise)?
Answer» what is normality, equivalents and equivalent concept(theory wise)?

Discussion

9929.	On 1st July, 2016, Sohan Lal & Sons purchased a plant costing ₹ 60,000. Additonal plant was purchased on 1st January, 2017 for ₹ 40,000 and on 1st October, 2017, for ₹ 20,000, plus CGST and SGST 6% each. On 1st April, 2018, one-third of the plant purchased on 1st July, 2016, was found to have become obsolete and was sold for ₹ 6,000, charging CGST and SGST 6% each.Prepare the Plant Account for the first three years in the books of Sohan Lal & Sons. Depreciation is charged 10% p.a. on Straight Line Method. Accounts are closed on 31st March each year.
Answer» On 1st July, 2016, Sohan Lal & Sons purchased a plant costing ₹ 60,000. Additonal plant was purchased on 1st January, 2017 for ₹ 40,000 and on 1st October, 2017, for ₹ 20,000, plus CGST and SGST 6% each. On 1st April, 2018, one-third of the plant purchased on 1st July, 2016, was found to have become obsolete and was sold for ₹ 6,000, charging CGST and SGST 6% each. Prepare the Plant Account for the first three years in the books of Sohan Lal & Sons. Depreciation is charged 10% p.a. on Straight Line Method. Accounts are closed on 31st March each year.

Discussion

9930.	Find the value of x
Answer» Find the value of x

9930.

Find the value of x

Answer»

Find the value of x

Discussion

9931.

Mr. Manoj keeps incomplete records. During the year 2014-15 the analysis of his cash book was as under:- (₹) (₹) Receipts from Debtors 6,20,200 Bank Overdraft (1-4-2014) 16,500 Cash Sales 2,08,000 Salaries 22,000 Additional Capital introduced 50,000 Rent 11,000 Miscellaneous receipts 1,800 Payment to Creditors 5,20,000 Bank Overdraft (31-3-2015) 2,500 Furniture purchased (1-10-2014) 75,000 Cash Purchases 2,10,000 General Expenses 8,000 Drawings 20,000 8,82,500 8,82,500 Assets and Liabilities as on: 1st April, 2014 ₹ 31st March, 2015 ₹ Sundry Debtors 62,000 ? Sundry Creditors 46,000 30,000 Stock 58,000 72,000 Furniture 25,000 ? Other Informations:(i) Credit sales during the year were ₹ 7,00,000(ii) Sales Returns were ₹ 10,000(iii) Discount allowed to debtors ₹ 8,400(iv) Discount received from creditors ₹ 6,000(v) Bad-debts written off during the year ₹ 11,400Adjustments:(i) Write off further bad-debts ₹ 2,000.(ii) Provide 5% for doubtful debts and 2% for discount on debtors and creditors.(iii) Charge 10% p.a. depreciation on furniture.(iv) One month salaries and one month rent was outstanding.Prepare Trading and Profit & Loss Account for the year ended 31st March, 2015 and a Balance Sheet as at that date.

Answer» Mr. Manoj keeps incomplete records. During the year 2014-15 the analysis of his cash book was as under:-

	(₹)		(₹)
Receipts from Debtors	6,20,200	Bank Overdraft (1-4-2014)	16,500
Cash Sales	2,08,000	Salaries	22,000
Additional Capital introduced	50,000	Rent	11,000
Miscellaneous receipts	1,800	Payment to Creditors	5,20,000
Bank Overdraft (31-3-2015)	2,500	Furniture purchased (1-10-2014)	75,000
		Cash Purchases	2,10,000
		General Expenses	8,000
		Drawings	20,000

	8,82,500		8,82,500

Assets and Liabilities as on:	1st April, 2014 ₹	31st March, 2015 ₹
Sundry Debtors	62,000	?
Sundry Creditors	46,000	30,000
Stock	58,000	72,000
Furniture	25,000	?

Other Informations:

(i) Credit sales during the year were ₹ 7,00,000

(ii) Sales Returns were ₹ 10,000

(iii) Discount allowed to debtors ₹ 8,400

(iv) Discount received from creditors ₹ 6,000

(v) Bad-debts written off during the year ₹ 11,400

Adjustments:

(i) Write off further bad-debts ₹ 2,000.

(ii) Provide 5% for doubtful debts and 2% for discount on debtors and creditors.

(iii) Charge 10% p.a. depreciation on furniture.

(iv) One month salaries and one month rent was outstanding.

Prepare Trading and Profit & Loss Account for the year ended 31st March, 2015 and a Balance Sheet as at that date.

Discussion

9932.	The faces of a dice are marked with numbers 1, 1, 2, 4, 5, 5 and that of another dice with number 2, 3, 4, 5, 6, 6. Both dice are thrown together once. What is the probability that the sum of numbers on their tops is odd?
Answer» The faces of a dice are marked with numbers 1, 1, 2, 4, 5, 5 and that of another dice with number 2, 3, 4, 5, 6, 6. Both dice are thrown together once. What is the probability that the sum of numbers on their tops is odd?

Discussion

9933.	Find the value of k, if the point P (0, 2) equidistant from (3, k) and (k , 5).
Answer» Find the value of k, if the point P (0, 2) equidistant from (3, k) and (k , 5).

Discussion

9934.	A girl of heigh 90 cm is walking away from the base of a lamp-post at a speed of 1.2 m/sec. If the lamp is 3.6 m above the ground, find the length of her shadow after 4 seconds.
Answer» A girl of heigh 90 cm is walking away from the base of a lamp-post at a speed of 1.2 m/sec. If the lamp is 3.6 m above the ground, find the length of her shadow after 4 seconds.

Discussion

9935.	the volume of a cuboid is given by the expression x^3-(a+b+c)x^2+(ab+bc+ca)x-abc. then find the possible expressions for the dimensions of the cuboid.
Answer» the volume of a cuboid is given by the expression x^3-(a+b+c)x^2+(ab+bc+ca)x-abc. then find the possible expressions for the dimensions of the cuboid.

Discussion

9936.	In the given figure the measure of ∠D and ∠F are respectively(a) 50°, 40°(b) 20°, 30°(c) 40°, 50°(d) 30°, 20°
Answer» In the given figure the measure of ∠D and ∠F are respectively (a) 50°, 40° (b) 20°, 30° (c) 40°, 50° (d) 30°, 20°

Discussion

9937.	If the numerator of a fraction is increased by 2 and its denominator is decreased by 1, it becomes 23. If the numerator is increased by 1 and the denominator is increased by 2, it becomes 13. Find the fraction.
Answer» If the numerator of a fraction is increased by 2 and its denominator is decreased by 1, it becomes $\frac{2}{3}$ . If the numerator is increased by 1 and the denominator is increased by 2, it becomes $\frac{1}{3}$ . Find the fraction.

Discussion

9938.	Question 3 (iii)The squares of which of the following would be odd number:7779
Answer» Question 3 (iii) The squares of which of the following would be odd number: 7779

9938.

Question 3 (iii)The squares of which of the following would be odd number:7779

Answer»

Question 3 (iii)

The squares of which of the following would be odd number:

7779

Discussion

9939.	Question 55 If the discount of Rs y is available on the marked price of Rs x, then the discount per cent is xy×100%
Answer» Question 55 If the discount of Rs y is available on the marked price of Rs x, then the discount per cent is $\frac{x}{y} \times 100 %$

9939.

Question 55 If the discount of Rs y is available on the marked price of Rs x, then the discount per cent is xy×100%

Answer»

Question 55

If the discount of Rs y is available on the marked price of Rs x, then the discount per cent is $\frac{x}{y} \times 100 %$

Discussion

9940.	Show that the equation 2a2+b2x2+2a+bx+1=0 has no real roots, when a ≠ b.
Answer» Show that the equation $2 (a^{2} + b^{2}) x^{2} + 2 (a + b) x + 1 = 0$ has no real roots, when a ≠ b.

Discussion

9941.	Question 3 (vi)In an AP:(vi) Given a = 2, d = 8, Sn=90, find n and an.
Answer» Question 3 (vi) In an AP: (vi) Given a = 2, d = 8, $S_{n} = 90$ , find n and $a_{n}$ .

Discussion

9942.	Choose the correct answer of the following question:If the surface area of a sphere is 616 cm2, its diameter (in cm) is(a) 7 (b) 14 (c) 28 (d) 56 [CBSE 2012]
Answer» Choose the correct answer of the following question: If the surface area of a sphere is 616 cm², its diameter (in cm) is (a) 7 (b) 14 (c) 28 (d) 56 [CBSE 2012]

Discussion

9943.	If the system of equations is inconsistent, then k =3x+y=12k-1x+k-1y=2k+1(a) 1(b) 0(c) −1(d) 2
Answer» If the system of equations is inconsistent, then k = $3 x + y = 1 (2 k - 1) x + (k - 1) y = 2 k + 1$ (a) 1 (b) 0 (c) −1 (d) 2

Discussion

9944.	If angles of triangle ABC are in ratio 1:2:3, then the ratio of their corresponding sides is
Answer» If angles of triangle $A B C$ are in ratio $1 : 2 : 3,$ then the ratio of their corresponding sides is

Discussion

9945.	In figure PO ⊥ QO. The tangents to the circle at P and Q intersect at a point T. Prove that PQ and OT are right bisectors of each other.
Answer» In figure PO $⊥$ QO. The tangents to the circle at P and Q intersect at a point T. Prove that PQ and OT are right bisectors of each other.

Discussion

9946.	Question 16Find the 12th term from the end of the AP –2, –4, –6….. –100.
Answer» Question 16 Find the $12^{t h}$ term from the end of the AP –2, –4, –6….. –100.

Discussion

9947.	In a two digit number, the ten's digit exceeds the unit's digit by 6. The number itself is equal to ten times the sum of its digits. Find the number.
Answer» In a two digit number, the ten's digit exceeds the unit's digit by 6. The number itself is equal to ten times the sum of its digits. Find the number.

Discussion

9948.

Prepare Trading and Profit and Loss Account for the year ended 31st March, 2018 and Balance Sheet as at that date from the following Traial 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) Salaries ₹ 1,000 and Taxes ₹ 2,000 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 and 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, 2018 is ₹ 45,000(vii) A fire occurred on 1st April, 2018 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, 2018 and Balance Sheet as at that date from the following Traial 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) Salaries ₹ 1,000 and Taxes ₹ 2,000 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 and 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, 2018 is ₹ 45,000

(vii) A fire occurred on 1st April, 2018 destroying goods costing ₹ 10,000. These goods were purchased paying CGST and SGST 6% each.

Discussion

9949.	Find the value of ‘a" for which the system of equations 3x + 2y - 4 = 0 and ax - y - 3 = 0, will represent intersecting lines.
Answer» Find the value of ‘a" for which the system of equations 3x + 2y - 4 = 0 and ax - y - 3 = 0, will represent intersecting lines.

Discussion

9950.	Solve the following quadratic equations by factorization:1x-1 x-2+1x-2 x-3+1x-3 x-4=16
Answer» Solve the following quadratic equations by factorization: $\frac{1}{(x - 1) (x - 2)} + \frac{1}{(x - 2) (x - 3)} + \frac{1}{(x - 3) (x - 4)} = \frac{1}{6}$

Discussion

Explore topic-wise InterviewSolutions in .

(cosecA-cotA)2=1-cosA/1+cosA

The first term of an arithmetic sequence is 7 and the common difference is −2. What is its 12th term?

In x class, if three students sit on bench, one student will be left. If four students sit on each bench, one bench will left. Find the number of students and number of benches in class.

ABCD is a quadrilateral and let −−→AB=→a,−−→AD=→b,−−→AC=m→a+n→b. Then the area of the quadrilateral is

The angle of elevation of the sun when the shadow of a pole h meter high is 3h meters long is __________.

Find the lengths of the medians of a triangle ABC whose vertices are A(7, –3), B(5, 3) and C(3, –1). [4 MARKS]

In a circle of radius 7 cm, AB and QC are two equal chords. If the line joining the points B and Q passes through the centre of the circle then find the length of the line joining B and Q.

Consider a hash table with 100 slots. Collisions are resolved using chaining. Assuming simple uniform hashing, what is the probability that the first 3 slots are unfilled after the first 3 insertions?

The perimeter of Δ 𝑳𝑴𝑵 is 𝟑𝟐 𝐜𝐦. NX is the angle bisector of angle 𝑵, 𝑳𝑿 = 𝟑 𝐜𝐦, and 𝑿𝑴 = 𝟓 𝐜𝐦. Find 𝑳𝑵 and 𝑴𝑵.

The points representing the complex number z for which |z + 1| < |z – 1| lie on the left side of ____________.

Let ABCD be a convex quadrilateral such that all of its sides and diagonals have integer lengths. Given ∠ABC=∠ADC=90∘, AB=BD and CD=41. The length of BC is

The sum of the digits of a 2digit number is 9. Also 9times the number is twice the number obtained by reversing the order of digits. Find the number.

70 trees were planted by Parth and 90 trees were planted by Pradnya on the occasion of Tree Plantation Week. Out of these; 25 trees were planted by both of them together. How many trees were planted by Parth or Pradnya ?

Let f be a polynomial functionsuch that f (3x)=f(x).f"(x),for all x E R. Then:(1) f(2) + f'(2) = 28 (2) f"(2)-f(2) =0 ,(3) f (2)-f'(2) + f"(2) =10

In ∆ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are __________ but not __________.

Four points A, B, C, D are given on circle. Line segment AB and CD are parallel. Find the area of the figure formed by these points.

cos Acot A+sin A= ?

The nth term of an A.P. is 6n + 2. Find the common difference.

A single discount equivalent to a single discount series of 25%,20%,10% is A)46B)55C)54D)45

Two dice are thrown at the same time. Find the probability of getting different numbers on both dice.

In the adjoining figure, prove that △FGH and △QPR are similar.

The ratio in which the point P(-3,y) divides the line segment joining the points A(-5,-4) and B(-2,3) is

The probability of getting a red card from a well shuffled pack of 52 cards is___

what will be the volume of the thickness of a cuboi

A scale was placed near a rectangular block. If its width is half of its height, find the value of the width.

A company declares 8 % half yearly dividend. A person has 250 shares of ₹ 20 (nominal value) each. What will he receive as yearly dividend?

In the adjacent Figure ,if seg AB || seg PQ , seg AB ≅seg PQ, seg AC || seg PR, seg AC ≅ seg PR then prove that, seg BC || seg QR and seg BC≅seg QR.

what is normality, equivalents and equivalent concept(theory wise)?

Find the value of x

The faces of a dice are marked with numbers 1, 1, 2, 4, 5, 5 and that of another dice with number 2, 3, 4, 5, 6, 6. Both dice are thrown together once. What is the probability that the sum of numbers on their tops is odd?

Find the value of k, if the point P (0, 2) equidistant from (3, k) and (k , 5).

A girl of heigh 90 cm is walking away from the base of a lamp-post at a speed of 1.2 m/sec. If the lamp is 3.6 m above the ground, find the length of her shadow after 4 seconds.

the volume of a cuboid is given by the expression x^3-(a+b+c)x^2+(ab+bc+ca)x-abc. then find the possible expressions for the dimensions of the cuboid.

In the given figure the measure of ∠D and ∠F are respectively(a) 50°, 40°(b) 20°, 30°(c) 40°, 50°(d) 30°, 20°

If the numerator of a fraction is increased by 2 and its denominator is decreased by 1, it becomes 23. If the numerator is increased by 1 and the denominator is increased by 2, it becomes 13. Find the fraction.

Question 3 (iii)The squares of which of the following would be odd number:7779

Question 55 If the discount of Rs y is available on the marked price of Rs x, then the discount per cent is xy×100%

Show that the equation 2a2+b2x2+2a+bx+1=0 has no real roots, when a ≠ b.

Question 3 (vi)In an AP:(vi) Given a = 2, d = 8, Sn=90, find n and an.

Choose the correct answer of the following question:If the surface area of a sphere is 616 cm2, its diameter (in cm) is(a) 7 (b) 14 (c) 28 (d) 56 [CBSE 2012]

If the system of equations is inconsistent, then k =3x+y=12k-1x+k-1y=2k+1(a) 1(b) 0(c) −1(d) 2

If angles of triangle ABC are in ratio 1:2:3, then the ratio of their corresponding sides is

In figure PO ⊥ QO. The tangents to the circle at P and Q intersect at a point T. Prove that PQ and OT are right bisectors of each other.

Question 16Find the 12th term from the end of the AP –2, –4, –6….. –100.

In a two digit number, the ten's digit exceeds the unit's digit by 6. The number itself is equal to ten times the sum of its digits. Find the number.

Find the value of ‘a" for which the system of equations 3x + 2y - 4 = 0 and ax - y - 3 = 0, will represent intersecting lines.

Solve the following quadratic equations by factorization:1x-1 x-2+1x-2 x-3+1x-3 x-4=16

In ∆ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are but not .