19743 + Interview Questions in Mathematics Page 142 InterviewSolution

7051.	Find after how many places of decimal the decimal form of the number 2723.54.32 will terminate.
Answer» Find after how many places of decimal the decimal form of the number $\frac{27}{2^{3} . 5^{4} . 3^{2}}$ will terminate.

Discussion

7052.	Question 8 (iii)In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see the given figure). Show that:ΔDBC≅ΔACB
Answer» Question 8 (iii) In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see the given figure). Show that: $Δ D B C ≅ Δ A C B$

Discussion

7053.	What fraction of a minute are 25 seconds?
Answer» What fraction of a minute are 25 seconds?

Discussion

7054.	<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->Find the roots of the equation x2–18x+12=0 by the method of completing the square.
Answer» <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Find the roots of the equation $x^{2} - 18 x + 12 = 0$ by the method of completing the square.

Discussion

7055.	Draw an isosceles triangle with base 5 cm and the other sides 3.5 cm each.
Answer» Draw an isosceles triangle with base 5 cm and the other sides 3.5 cm each.

Discussion

7056.	The equation of the plane passing through the image of the point P(3,5,7) w.r.to the plane 2x+y+z=3 and having the line x−1−1=y2=z−2−3 is:
Answer» The equation of the plane passing through the image of the point $P (3, 5, 7)$ w.r.to the plane $2 x + y + z = 3$ and having the line $\frac{x - 1}{- 1} = \frac{y}{2} = \frac{z - 2}{- 3}$ is:

Discussion

7057.	A body which has six rectangular faces, is called as __.
Answer» A body which has six rectangular faces, is called as __.

7057.

A body which has six rectangular faces, is called as __.

Answer»

A body which has six rectangular faces, is called as __.

Discussion

7058.	3√2×5√8=____60
Answer» $3 \sqrt{2} \times 5 \sqrt{8} =____$ 60

Discussion

7059.	सूरदास जगधर से अपनी आर्थिक हानि को गुप्त क्यों रखना चाहता था?
Answer» सूरदास जगधर से अपनी आर्थिक हानि को गुप्त क्यों रखना चाहता था?

Discussion

7060.	If actual distance between two places A and B is 110 km and it is represented on a map by 25 mm. Then the scale used is ______ .
Answer» If actual distance between two places A and B is 110 km and it is represented on a map by 25 mm. Then the scale used is ______ .

Discussion

7061.	Question 133 In how many years, will the simple interest on a certain sum be 4.05 times the principal at 13.5% per annum ?
Answer» Question 133 In how many years, will the simple interest on a certain sum be 4.05 times the principal at 13.5% per annum ?

7061.

Question 133 In how many years, will the simple interest on a certain sum be 4.05 times the principal at 13.5% per annum ?

Answer»

Question 133

In how many years, will the simple interest on a certain sum be 4.05 times the principal at 13.5% per annum ?

Discussion

7062.	In the figure x, y and z are the internal angles of ∆ABD. Line ED \|\| AB and side AD is extrapolated to point P and the value of ∠EDP and ∠EDB are n and m, respectively. Then, the values of n and m are ______ and _______, respectively.
Answer» In the figure x, y and z are the internal angles of ∆ABD. Line ED \|\| AB and side AD is extrapolated to point P and the value of $∠$ EDP and $∠$ EDB are n and m, respectively. Then, the values of n and m are ______ and _______, respectively.

7062.

In the figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the value of ∠EDP and ∠EDB are n and m, respectively. Then, the values of n and m are and _, respectively.

Answer»

In the figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the value of $∠$ EDP and $∠$ EDB are n and m, respectively. Then, the values of n and m are ______ and _______, respectively.

Discussion

7063.

Enter the following transactions in Two-column Cash Book of Gaurav, Delhi: 2019 ₹ April 1 Opening Balance of Cash in Hand 1,00,000 Opening Balance of Bank Overdraft 5,00,000 April 2 Sold goods for cash, including CGST and SGST 6% each 4,48,000 April 3 Sold goods including CGST and SGST 6% each against cheque and paid into bank the same day 3,36,000 April 5 Sold goods to Reema, including IGST 12% 1,12,000 April 6 Ram paid by cheque 78,000 Discount allowed 2,000 April 7 Bought goods from Rahul, Gurugram for ₹ 40,000 plus CGST and SGST 6% each and paid him by cheque 44,800 Salary paid to staff by cheque 2,20,000 April 10 Deposited into bank 3,10,000 April 11 Received a cheque from Suresh and paid into bank 1,28,500 Discount allowed 1,500 April 15 Received from R. Kumar a cheque for a full settlement of his account for ₹1,95,000 1,87,500 April 18 Paid wages in cash 30,000 April 20 Bank charges, including CGST and SGST 6% each 5,600 April 22 Withdrew from bank for office use 1,00,000 Withdrew from Bank for personal use 1,20,000 April 25 Paid electricity bill by cheque 31,500 Issued a cheque in favour of Sudha as advance for purchase of house of Gaurav 2,00,000 April 26 Received a cheque from Amar 58,200 Allowed discount to him 1,800 April 28 Cheque received from Amar sent to bank April 30 Bank collected interest received on investments 15,000 Paid rent for the month of May, 2019, including CGST and SGST 6% each 22,400

Answer» Enter the following transactions in Two-column Cash Book of Gaurav, Delhi:


2019		₹
April 1	Opening Balance of Cash in Hand	1,00,000
	Opening Balance of Bank Overdraft	5,00,000
April 2	Sold goods for cash, including CGST and SGST 6% each	4,48,000
April 3	Sold goods including CGST and SGST 6% each against cheque and paid into bank the same day	3,36,000
April 5	Sold goods to Reema, including IGST 12%	1,12,000
April 6	Ram paid by cheque	78,000
	Discount allowed	2,000
April 7	Bought goods from Rahul, Gurugram for ₹ 40,000 plus CGST and SGST 6% each and paid him by cheque	44,800
	Salary paid to staff by cheque	2,20,000
April 10	Deposited into bank	3,10,000
April 11	Received a cheque from Suresh and paid into bank	1,28,500
	Discount allowed	1,500
April 15	Received from R. Kumar a cheque for a full settlement of his account for ₹1,95,000	1,87,500
April 18	Paid wages in cash	30,000
April 20	Bank charges, including CGST and SGST 6% each	5,600
April 22	Withdrew from bank for office use	1,00,000
	Withdrew from Bank for personal use	1,20,000
April 25	Paid electricity bill by cheque	31,500
	Issued a cheque in favour of Sudha as advance for purchase of house of Gaurav	2,00,000
April 26	Received a cheque from Amar	58,200
	Allowed discount to him	1,800
April 28	Cheque received from Amar sent to bank
April 30	Bank collected interest received on investments	15,000
	Paid rent for the month of May, 2019, including CGST and SGST 6% each	22,400

Discussion

7064.	(1) 22 + 32 (2) 32 − 22 (3) 22 × 33 (4) (−2)2 × (1)2 (5) 12 + 52 (6) 12 + 20 (7) 70 + 12 (8) 61 − 40 (9) 100 − 20 (10) 51 × 31
Answer» (1) 2² + 3² (2) 3² − 2² (3) 2² × 3³ (4) (−2)² × (1)² (5) 1² + 5² (6) 1² + 2⁰ (7) 7⁰ + 1² (8) 6¹ − 4⁰ (9) 10⁰ − 2⁰ (10) 5¹× 3¹

7064.

(1) 22 + 32 (2) 32 − 22 (3) 22 × 33 (4) (−2)2 × (1)2 (5) 12 + 52 (6) 12 + 20 (7) 70 + 12 (8) 61 − 40 (9) 100 − 20 (10) 51 × 31

Answer»

(1) 2² + 3²

(2) 3² − 2²

(3) 2² × 3³

(4) (−2)² × (1)²

(5) 1² + 5²

(6) 1² + 2⁰

(7) 7⁰ + 1²

(8) 6¹ − 4⁰

(9) 10⁰ − 2⁰

(10) 5¹× 3¹

Discussion

7065.	Let X={1,2,3,4,5},Y={1,3,5,7,9}.Which of the following is a relation from X to Y?a. R1={(x,y)y=2+x,x E X,y E Y} b. R2={(1,1),(2,1),(3,3),(4,3),(5,6)} c. R3={(1,1),(1,3),(3,5),(3,7),(7,3),(5,7)} d. R4={(1,3),(2,5),(2,7),(5,9)
Answer» Let X={1,2,3,4,5},Y={1,3,5,7,9}.Which of the following is a relation from X to Y?a. R1={(x,y)y=2+x,x E X,y E Y} b. R2={(1,1),(2,1),(3,3),(4,3),(5,6)} c. R3={(1,1),(1,3),(3,5),(3,7),(7,3),(5,7)} d. R4={(1,3),(2,5),(2,7),(5,9)

Discussion

7066.	Match the following types of events to their probability.
Answer» Match the following types of events to their probability.

Discussion

7067.	The given pair resembles a relationship.∠SXQ:∠UYQ::∠HAK:?Find the appropriate angle that can fit in the place of question mark for the given figure. Parallel lines are shown by arrow marks.
Answer» The given pair resembles a relationship. $∠ S X Q : ∠ U Y Q :: ∠ H A K : ?$ Find the appropriate angle that can fit in the place of question mark for the given figure. Parallel lines are shown by arrow marks.

Discussion

7068.	The diameters of circles are given below. Find their radii.(1) 8 cm(2) 6 cm(3) 8.6 cm(4) 5.4 cm
Answer» The diameters of circles are given below. Find their radii. (1) 8 cm (2) 6 cm (3) 8.6 cm (4) 5.4 cm

7068.

The diameters of circles are given below. Find their radii.(1) 8 cm(2) 6 cm(3) 8.6 cm(4) 5.4 cm

Answer»

The diameters of circles are given below. Find their radii.

(1) 8 cm

(2) 6 cm

(3) 8.6 cm

(4) 5.4 cm

Discussion

7069.	The greatest negative integer is
Answer» The greatest negative integer is

Discussion

7070.	In the figure given below, angle A and angle B are _________.
Answer» In the figure given below, angle A and angle B are _________.

Discussion

7071.	Find the value of 6−50÷6−30.
Answer» Find the value of $6^{- 50} \div 6^{- 30}$ .

Discussion

7072.	Question 3(f) Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation. x +4 = 2 (-2, 0, 2, 4)
Answer» Question 3(f) Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation. x +4 = 2 (-2, 0, 2, 4)

7072.

Question 3(f) Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation. x +4 = 2 (-2, 0, 2, 4)

Answer»

Question 3(f)

Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.

x +4 = 2 (-2, 0, 2, 4)

Discussion

7073.	Jim had English test last week & he got less marks because he missed using appropriate punctuation that is used after completion of a sentence which is also a basic aspect of geometry, what do you think it is?
Answer» Jim had English test last week & he got less marks because he missed using appropriate punctuation that is used after completion of a sentence which is also a basic aspect of geometry, what do you think it is?

Discussion

7074.	Question 3In the following question, out of the four options, only one is correct. Write the correct answer:3−2 can be written as:(a) 32(b) 132(c) 13−2(d) −22
Answer» Question 3 In the following question, out of the four options, only one is correct. Write the correct answer: $3^{- 2}$ can be written as: (a) $3^{2}$ (b) $\frac{1}{3^{2}}$ (c) $\frac{1}{3^{- 2}}$ (d) $- \frac{2}{2}$

7074.

Question 3In the following question, out of the four options, only one is correct. Write the correct answer:3−2 can be written as:(a) 32(b) 132(c) 13−2(d) −22

Answer»

Question 3

In the following question, out of the four options, only one is correct. Write the correct answer:

$3^{- 2}$ can be written as:

(a) $3^{2}$

(b) $\frac{1}{3^{2}}$

(c) $\frac{1}{3^{- 2}}$

(d) $- \frac{2}{2}$

Discussion

7075.	If x and y are two odd primes such that X>y then x^2-y^2 isA. An odd numberB. A prime numberC.An even numberD.An odd prime number
Answer» If x and y are two odd primes such that X>y then x^2-y^2 is A. An odd number B. A prime number C.An even number D.An odd prime number

Discussion

7076.	Question 51A line segment 56cm long is to be divided into two parts in the ratio of 2 : 5. Find the length of each part.
Answer» Question 51 A line segment 56cm long is to be divided into two parts in the ratio of 2 : 5. Find the length of each part.

7076.

Question 51A line segment 56cm long is to be divided into two parts in the ratio of 2 : 5. Find the length of each part.

Answer»

Question 51

A line segment 56cm long is to be divided into two parts in the ratio of 2 : 5. Find the length of each part.

Discussion

7077.	In the given figure, if AB = AC and D is the midpoint of BC, then which of the following is true ?
Answer» In the given figure, if AB = AC and D is the midpoint of BC, then which of the following is true ?

7077.

In the given figure, if AB = AC and D is the midpoint of BC, then which of the following is true ?

Answer»

In the given figure, if AB = AC and D is the midpoint of BC, then which of the following is true ?

Discussion

7078.	The area of a rectangle is 11.6 m2. If its breadth is 46.4 cm, then the perimeter is(a) 25.464 m (b) 50.928 m (c) 101.856 m (d) None of these
Answer» The area of a rectangle is 11.6 m². If its breadth is 46.4 cm, then the perimeter is (a) 25.464 m (b) 50.928 m (c) 101.856 m (d) None of these

Discussion

7079.	Which of the following can produce this 2D shape when sliced vertically?
Answer» Which of the following can produce this 2D shape when sliced vertically?

Discussion

7080.

Following balances appeared in the books of Radhika Traders as on 1st April, 2017:−Assets: Cash ₹ 8,000; Cash at Bank ₹ 7,000; Stock ₹ 30,000; Debtors : ₹ 36,000 (Mohan ₹ 10,000; Sohan ₹ 12,000; Dinesh ₹ 14,000); Furniture ₹ 5,000; Building ₹ 25,000.Liabilities: Creditors− X ₹ 5,000; Y ₹ 6,000. In April, 2017, the following transaction took place: 2017 ₹ April 2 Bought goods of the list price of ₹ 6,000 from Khanna Brothers less 15% trade discount and 2% cash discount and paid 40% price at the same time. 3 Received a draft from Mohan in full settlement and deposited it into Bank 9,750 5 Purchased goods from Suresh of the list price of ₹ 8,000 at 20% trade discount and paid him by cheque. 8 Sold goods and received a cheque 25,000 10 Deposited the above cheque into Bank 12 Sohan deposited in our Bank A/c 4,000 16 Paid Income Tax by Cheque 5,600 20 Received a cheque from Sohan and sent to Bank 7,800 Discount allowed 200 21 Withdrew from Bank−for office 2,000 for private use 4,000 23 Sent a cheque to X in full settlement of his A/c 4,900 27 Cheque of Sohan returned by the bank as dishonoured. 28 Dinesh was declared insolvent and a payment of 60 paise in a ₹ received from his estate by a Cheque 30 Bank allowed Interest 350 Paid for Rent by cheque 1,500 Paid for traveling expenses by cheque 500 Pass Journal entries for the above transactions.

Answer»

Following balances appeared in the books of Radhika Traders as on 1st April, 2017:−

Assets: Cash ₹ 8,000; Cash at Bank ₹ 7,000; Stock ₹ 30,000; Debtors : ₹ 36,000 (Mohan ₹ 10,000; Sohan ₹ 12,000; Dinesh ₹ 14,000); Furniture ₹ 5,000; Building ₹ 25,000.

Liabilities: Creditors− X ₹ 5,000; Y ₹ 6,000.

In April, 2017, the following transaction took place:

2017		₹
April 2	Bought goods of the list price of ₹ 6,000 from Khanna Brothers less 15% trade discount and 2% cash discount and paid 40% price at the same time.
3	Received a draft from Mohan in full settlement and deposited it into Bank	9,750
5	Purchased goods from Suresh of the list price of ₹ 8,000 at 20% trade discount and paid him by cheque.
8	Sold goods and received a cheque	25,000
10	Deposited the above cheque into Bank
12	Sohan deposited in our Bank A/c	4,000
16	Paid Income Tax by Cheque	5,600
20	Received a cheque from Sohan and sent to Bank	7,800
	Discount allowed	200
21	Withdrew from Bank−for office	2,000
	for private use	4,000
23	Sent a cheque to X in full settlement of his A/c	4,900
27	Cheque of Sohan returned by the bank as dishonoured.
28	Dinesh was declared insolvent and a payment of 60 paise in a ₹ received from his estate by a Cheque
30	Bank allowed Interest	350
	Paid for Rent by cheque	1,500
	Paid for traveling expenses by cheque	500

Pass Journal entries for the above transactions.

Discussion

7081.	AB is parallel to CD, EF intersects them at M and N. The bisectors of ∠BMN and ∠MND meet at Q. If ∠AME=80∘, then find ∠MQN.
Answer» AB is parallel to CD, EF intersects them at M and N. The bisectors of $∠ B M N a n d ∠ M N D$ meet at Q. If $∠ A M E = 80^{\circ}$ , then find $∠ M Q N$ .

Discussion

7082.	Simplify:(4y3+2y2−y+9)−(y3−5y2+3)
Answer» Simplify: $(4 y^{3} + 2 y^{2} - y + 9) - (y^{3} - 5 y^{2} + 3)$

Discussion

7083.	Question 1(c) Following number line shows the temperature in degree Celsius (°C)at different places on a particular day. What is the temperature difference between Lahul spiti and Srinagar?
Answer» Question 1(c) Following number line shows the temperature in degree Celsius (°C)at different places on a particular day. What is the temperature difference between Lahul spiti and Srinagar?

Discussion

7084.	Thefollowing figures have more than one line of symmetry. Such figuresare said to have multiple lines of symmetry.Identifymultiple lines of symmetry, if any, in each of the following figures:
Answer» The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry. Identify multiple lines of symmetry, if any, in each of the following figures:

7084.

Thefollowing figures have more than one line of symmetry. Such figuresare said to have multiple lines of symmetry.Identifymultiple lines of symmetry, if any, in each of the following figures:

Answer»

The
following figures have more than one line of symmetry. Such figures
are said to have multiple lines of symmetry.

Identify
multiple lines of symmetry, if any, in each of the following figures:

Discussion

7085.	In the adjoining figure, which of the following are the interior angle bisectors? Check all that apply.
Answer» In the adjoining figure, which of the following are the interior angle bisectors? Check all that apply.

Discussion

7086.	18. In a triangle BCD,X and Y are the midpoint of sides BC and CD. Prove that :Ar(CYX)=1/4AR(BCD)
Answer» 18. In a triangle BCD,X and Y are the midpoint of sides BC and CD. Prove that :Ar(CYX)=1/4AR(BCD)

Discussion

7087.	Question 12A bought a tape recorder for Rs.8000 and sold it to B. B in turn sold it to C, each earning a profit of 20%. Which of the following is true?(a) A and B earn the same profit(b) A earns more profit than B(c) A earns less profit than B(d) Cannot be determined
Answer» Question 12 A bought a tape recorder for Rs.8000 and sold it to B. B in turn sold it to C, each earning a profit of 20%. Which of the following is true? (a) A and B earn the same profit (b) A earns more profit than B (c) A earns less profit than B (d) Cannot be determined

7087.

Question 12A bought a tape recorder for Rs.8000 and sold it to B. B in turn sold it to C, each earning a profit of 20%. Which of the following is true?(a) A and B earn the same profit(b) A earns more profit than B(c) A earns less profit than B(d) Cannot be determined

Answer»

Question 12

A bought a tape recorder for Rs.8000 and sold it to B. B in turn sold it to C, each earning a profit of 20%. Which of the following is true?

(a) A and B earn the same profit

(b) A earns more profit than B

(c) A earns less profit than B

(d) Cannot be determined

Discussion

7088.	Question 51If x and y are in inverse proportion, then (x + 1) and (y + 1) are also in inverse proportion.
Answer» Question 51 If x and y are in inverse proportion, then (x + 1) and (y + 1) are also in inverse proportion.

7088.

Question 51If x and y are in inverse proportion, then (x + 1) and (y + 1) are also in inverse proportion.

Answer»

Question 51

If x and y are in inverse proportion, then (x + 1) and (y + 1) are also in inverse proportion.

Discussion

7089.	\|x\|+\|x+3\|=\|x-7\|Find x
Answer» \|x\|+\|x+3\|=\|x-7\| Find x

Discussion

7090.	In a triangle ABC, if angleB=60degrees, prove that (a+b+c)(a-b+c)=2ac
Answer» In a triangle ABC, if angleB=60degrees, prove that (a+b+c)(a-b+c)=2ac

Discussion

7091.	The measure of ∠BCD is
Answer» The measure of $∠ B C D$ is

Discussion

7092.	Prove that square of any positive integer is of the form 4m, 4m+1 for some integer m.
Answer» Prove that square of any positive integer is of the form 4m, 4m+1 for some integer m.

Discussion

7093.	A boys spends 34 of his pocket money and then 4 by 5 of the reminder is given to his sister if he has rupees 40 left, what did you have at first?
Answer» A boys spends $\frac{3}{4}$ of his pocket money and then $4$ by $5$ of the reminder is given to his sister if he has rupees $40$ left, what did you have at first?

Discussion

7094.	Here are the shadows ofsome 3−D objects, when seen under the lamp of an overheadprojector. Identify the solids (s) that match each shadow. (There maybe multiple answers for these!)
Answer» Here are the shadows of some 3−D objects, when seen under the lamp of an overhead projector. Identify the solids (s) that match each shadow. (There may be multiple answers for these!)

7094.

Here are the shadows ofsome 3−D objects, when seen under the lamp of an overheadprojector. Identify the solids (s) that match each shadow. (There maybe multiple answers for these!)

Answer»

Here are the shadows of
some 3−D objects, when seen under the lamp of an overhead
projector. Identify the solids (s) that match each shadow. (There may
be multiple answers for these!)

Discussion

7095.	A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 11 cm, 15 cm and 6 cm, and the parallelogram stands on the base 15 cm, find the height of the parallelogram.[4 Marks]
Answer» A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 11 cm, 15 cm and 6 cm, and the parallelogram stands on the base 15 cm, find the height of the parallelogram.[4 Marks]

Discussion

7096.	A sum of 3000 rupees is to be given in the form of 63 prizes. If the prize money is either rs100 or rs25. Find the number of prizes?
Answer» A sum of 3000 rupees is to be given in the form of 63 prizes. If the prize money is either rs100 or rs25. Find the number of prizes?

Discussion

7097.	Find the sum of 553 and 752
Answer» Find the sum of $5 \frac{5}{3}$ and $7 \frac{5}{2}$

Discussion

7098.	Question 114 Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60m×80m. How much shorter is the route across park than the route around its edges?
Answer» Question 114 Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures $60 m \times 80 m$ . How much shorter is the route across park than the route around its edges?

7098.

Question 114 Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60m×80m. How much shorter is the route across park than the route around its edges?

Answer»

Question 114

Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures $60 m \times 80 m$ . How much shorter is the route across park than the route around its edges?

Discussion

7099.	x=1/2-root 3 then find the value of x-1/x
Answer» x=1/2-root 3 then find the value of x-1/x

Discussion

7100.	Question 8 (iv)In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see the given figure). Show that:CM=12 AB
Answer» Question 8 (iv) In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see the given figure). Show that: $C M = \frac{1}{2} A B$

Discussion

Explore topic-wise InterviewSolutions in .

Find after how many places of decimal the decimal form of the number 2723.54.32 will terminate.

Question 8 (iii)In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see the given figure). Show that:ΔDBC≅ΔACB

What fraction of a minute are 25 seconds?

&lt;!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--&gt;Find the roots of the equation x2–18x+12=0 by the method of completing the square.

Draw an isosceles triangle with base 5 cm and the other sides 3.5 cm each.

The equation of the plane passing through the image of the point P(3,5,7) w.r.to the plane 2x+y+z=3 and having the line x−1−1=y2=z−2−3 is:

A body which has six rectangular faces, is called as __.

3√2×5√8=____60

सूरदास जगधर से अपनी आर्थिक हानि को गुप्त क्यों रखना चाहता था?

If actual distance between two places A and B is 110 km and it is represented on a map by 25 mm. Then the scale used is ______ .

Question 133 In how many years, will the simple interest on a certain sum be 4.05 times the principal at 13.5% per annum ?

In the figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the value of ∠EDP and ∠EDB are n and m, respectively. Then, the values of n and m are ______ and _______, respectively.

(1) 22 + 32 (2) 32 − 22 (3) 22 × 33 (4) (−2)2 × (1)2 (5) 12 + 52 (6) 12 + 20 (7) 70 + 12 (8) 61 − 40 (9) 100 − 20 (10) 51 × 31

Let X={1,2,3,4,5},Y={1,3,5,7,9}.Which of the following is a relation from X to Y?a. R1={(x,y)y=2+x,x E X,y E Y} b. R2={(1,1),(2,1),(3,3),(4,3),(5,6)} c. R3={(1,1),(1,3),(3,5),(3,7),(7,3),(5,7)} d. R4={(1,3),(2,5),(2,7),(5,9)

Match the following types of events to their probability.

The given pair resembles a relationship.∠SXQ:∠UYQ::∠HAK:?Find the appropriate angle that can fit in the place of question mark for the given figure. Parallel lines are shown by arrow marks.

The diameters of circles are given below. Find their radii.(1) 8 cm(2) 6 cm(3) 8.6 cm(4) 5.4 cm

The greatest negative integer is

In the figure given below, angle A and angle B are _________.

Find the value of 6−50÷6−30.

Question 3(f) Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation. x +4 = 2 (-2, 0, 2, 4)

Jim had English test last week &amp; he got less marks because he missed using appropriate punctuation that is used after completion of a sentence which is also a basic aspect of geometry, what do you think it is?

Question 3In the following question, out of the four options, only one is correct. Write the correct answer:3−2 can be written as:(a) 32(b) 132(c) 13−2(d) −22

If x and y are two odd primes such that X>y then x^2-y^2 isA. An odd numberB. A prime numberC.An even numberD.An odd prime number

Question 51A line segment 56cm long is to be divided into two parts in the ratio of 2 : 5. Find the length of each part.

In the given figure, if AB = AC and D is the midpoint of BC, then which of the following is true ?

The area of a rectangle is 11.6 m2. If its breadth is 46.4 cm, then the perimeter is(a) 25.464 m (b) 50.928 m (c) 101.856 m (d) None of these

Which of the following can produce this 2D shape when sliced vertically?

AB is parallel to CD, EF intersects them at M and N. The bisectors of ∠BMN and ∠MND meet at Q. If ∠AME=80∘, then find ∠MQN.

Simplify:(4y3+2y2−y+9)−(y3−5y2+3)

Question 1(c) Following number line shows the temperature in degree Celsius (°C)at different places on a particular day. What is the temperature difference between Lahul spiti and Srinagar?

Thefollowing figures have more than one line of symmetry. Such figuresare said to have multiple lines of symmetry.Identifymultiple lines of symmetry, if any, in each of the following figures:

In the adjoining figure, which of the following are the interior angle bisectors? Check all that apply.

18. In a triangle BCD,X and Y are the midpoint of sides BC and CD. Prove that :Ar(CYX)=1/4AR(BCD)

Question 12A bought a tape recorder for Rs.8000 and sold it to B. B in turn sold it to C, each earning a profit of 20%. Which of the following is true?(a) A and B earn the same profit(b) A earns more profit than B(c) A earns less profit than B(d) Cannot be determined

Question 51If x and y are in inverse proportion, then (x + 1) and (y + 1) are also in inverse proportion.

|x|+|x+3|=|x-7|Find x

In a triangle ABC, if angleB=60degrees, prove that (a+b+c)(a-b+c)=2ac

The measure of ∠BCD is

Prove that square of any positive integer is of the form 4m, 4m+1 for some integer m.

A boys spends 34 of his pocket money and then 4 by 5 of the reminder is given to his sister if he has rupees 40 left, what did you have at first?

Here are the shadows ofsome 3−D objects, when seen under the lamp of an overheadprojector. Identify the solids (s) that match each shadow. (There maybe multiple answers for these!)

A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 11 cm, 15 cm and 6 cm, and the parallelogram stands on the base 15 cm, find the height of the parallelogram.[4 Marks]

A sum of 3000 rupees is to be given in the form of 63 prizes. If the prize money is either rs100 or rs25. Find the number of prizes?

Find the sum of 553 and 752

Question 114 Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60m×80m. How much shorter is the route across park than the route around its edges?

x=1/2-root 3 then find the value of x-1/x

Question 8 (iv)In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see the given figure). Show that:CM=12 AB

Find the roots of the equation x2–18x+12=0 by the method of completing the square.

In the figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the value of ∠EDP and ∠EDB are n and m, respectively. Then, the values of n and m are and _, respectively.

Jim had English test last week & he got less marks because he missed using appropriate punctuation that is used after completion of a sentence which is also a basic aspect of geometry, what do you think it is?