19743 + Interview Questions in Mathematics Page 71 InterviewSolution

3501.	In a triangle ABC , AD is the angle bisector of
Answer» In a triangle ABC , AD is the angle bisector of

Discussion

3502.	Which of the following is a linear (or simple) equation in one variable? Give reasons. [4 MARKS] (i) x2=5 (ii) x+y=4 (iii) x+6=9 (iv) x2+y2=9
Answer» Which of the following is a linear (or simple) equation in one variable? Give reasons. [4 MARKS] (i) $x^{2} = 5$ (ii) $x + y = 4$ (iii) $x + 6 = 9$ (iv) $x^{2} + y^{2} = 9$

Discussion

3503.	In Roman numerals, what happens(i) if a symbol of smaller value is written to the right of a symbol of greater value?(ii) if a symbol of smaller value is written to the left to the left of a symbol of greater value?Explain with the help of examples.
Answer» In Roman numerals, what happens (i) if a symbol of smaller value is written to the right of a symbol of greater value? (ii) if a symbol of smaller value is written to the left to the left of a symbol of greater value? Explain with the help of examples.

Discussion

3504.	Construct Δ ABC, given ∠A=60∘,∠B=30∘ and AB = 5.8 cm.
Answer» Construct $Δ$ ABC, given $∠ A = 60^{\circ}, ∠ B = 30^{\circ}$ and AB = 5.8 cm.

Discussion

3505.	Letter S has:
Answer» Letter S has:

Discussion

3506.	Simplify (−4)3(−4)6
Answer» Simplify $\frac{(- 4)^{3}}{(- 4)^{6}}$

Discussion

3507.	Which one of the four interchanges in signs and number would make the given equation correct? 3+5-2=4 †extdegree+and-, 2 and 3 †extdegree+and-, 3 and 5 †extdegree+and-, 3 and 4 †extdegree+and-, 5 and
Answer» Which one of the four interchanges in signs and number would make the given equation correct? 3+5-2=4 †extdegree+and-, 2 and 3 †extdegree+and-, 3 and 5 †extdegree+and-, 3 and 4 †extdegree+and-, 5 and

Discussion

3508.	Question 2 In the given figure, If AB\|\|CD,CD\|\|EF and y:z=3:7, find x.
Answer» Question 2 In the given figure, If $A B \| \| C D, C D \| \| E F$ and $y : z = 3 : 7$ , find x.

Discussion

3509.	What is the value of x for (33)2×(23)2=x6?
Answer» What is the value of $x$ for $(3^{3})^{2} \times (2^{3})^{2} = x^{6}$ ?

Discussion

3510.	The reciprocal ratio of 312:612 is
Answer» The reciprocal ratio of $3 \frac{1}{2} : 6 \frac{1}{2}$ is

Discussion

3511.	Question 107 Radhika borrowed ₹ 12000 from her friends. Out of that ₹ 4000 was borrowed at 18 % and the remaining at 15 % rate of interest per annum. What is the total interest after 3 yr?
Answer» Question 107 Radhika borrowed ₹ 12000 from her friends. Out of that ₹ 4000 was borrowed at 18 % and the remaining at 15 % rate of interest per annum. What is the total interest after 3 yr?

3511.

Question 107 Radhika borrowed ₹ 12000 from her friends. Out of that ₹ 4000 was borrowed at 18 % and the remaining at 15 % rate of interest per annum. What is the total interest after 3 yr?

Answer»

Question 107

Radhika borrowed ₹ 12000 from her friends. Out of that ₹ 4000 was borrowed at 18 % and the remaining at 15 % rate of interest per annum. What is the total interest after 3 yr?

Discussion

3512.	If the number of lines of symmetry in a polygon is equal to the number of sides it has, then it must be a/ an __ polygon.
Answer» If the number of lines of symmetry in a polygon is equal to the number of sides it has, then it must be a/ an __ polygon.

Discussion

3513.	28. A car travels half of the length of straight linemotion with a speed of 60 km/h. The remainingpart of the distance is covered with speed40 km/h for half of the time of remaining journeyand with speed 20 km/h for the other half of thetime. The average speed of the car for the entirejourney isL)33.(1) 30 km/h(2) 40 km/h(3) 48 km/h(4) 45 km/h
Answer» 28. A car travels half of the length of straight linemotion with a speed of 60 km/h. The remainingpart of the distance is covered with speed40 km/h for half of the time of remaining journeyand with speed 20 km/h for the other half of thetime. The average speed of the car for the entirejourney isL)33.(1) 30 km/h(2) 40 km/h(3) 48 km/h(4) 45 km/h

Discussion

3514.	Give me some examples of use of sets in daily life?
Answer» Give me some examples of use of sets in daily life?

Discussion

3515.	Whichcongruence criterion do you use in the following?(a) Given:AC = DFAB = DEBC = EF So, ΔABC ≅ΔDEF(b) Given:ZX = RPRQ = ZY∠PRQ = ∠XZYSo, ΔPQR ≅ΔXYZ(c) Given:∠MLN = ∠FGH∠NML = ∠GFHML = FGSo, ΔLMN ≅ΔGFH (d) Given:EB = DBAE = BC∠A = ∠C = 90°So, ΔABE ≅ΔCDB
Answer» Which congruence criterion do you use in the following? (a) Given: AC = DF AB = DE BC = EF So, ΔABC ≅ ΔDEF (b) Given: ZX = RP RQ = ZY ∠PRQ = ∠XZY So, ΔPQR ≅ ΔXYZ (c) Given: ∠MLN = ∠FGH ∠NML = ∠GFH ML = FG So, ΔLMN ≅ ΔGFH (d) Given: EB = DB AE = BC ∠A = ∠C = 90° So, ΔABE ≅ ΔCDB

3515.

Whichcongruence criterion do you use in the following?(a) Given:AC = DFAB = DEBC = EF So, ΔABC ≅ΔDEF(b) Given:ZX = RPRQ = ZY∠PRQ = ∠XZYSo, ΔPQR ≅ΔXYZ(c) Given:∠MLN = ∠FGH∠NML = ∠GFHML = FGSo, ΔLMN ≅ΔGFH (d) Given:EB = DBAE = BC∠A = ∠C = 90°So, ΔABE ≅ΔCDB

Answer»

Which
congruence criterion do you use in the following?

(a) Given:
AC = DF

AB = DE

BC = EF

So, ΔABC ≅
ΔDEF

(b) Given:
ZX = RP

RQ = ZY

∠PRQ = ∠XZY

So, ΔPQR ≅
ΔXYZ

(c) Given:
∠MLN = ∠FGH

∠NML = ∠GFH

ML = FG

So, ΔLMN ≅
ΔGFH

(d) Given:
EB = DB

AE = BC

∠A = ∠C = 90°

So, ΔABE ≅
ΔCDB

Discussion

3516.	Number of goals scored by a football player named AJU is represented on the bar graph given below. What will be the central angle made by (in degrees) match 3 if number of goals are represented in the form of a pie chart?90
Answer» Number of goals scored by a football player named AJU is represented on the bar graph given below. What will be the central angle made by (in degrees) match 3 if number of goals are represented in the form of a pie chart? 90

Discussion

3517.	−338 should be divided byto get −112?
Answer» $\frac{- 33}{8} should be divided by$ $to get \frac{- 11}{2} ?$

Discussion

3518.	∆ABC is a right triangle right angled at B such that ∠BCA = 2∠BAC. Show that AC = 2BC.
Answer» ∆ABC is a right triangle right angled at B such that ∠BCA = 2∠BAC. Show that AC = 2BC.

Discussion

3519.	Solve the inequality:5x3+6>16
Answer» Solve the inequality: $\frac{5 x}{3} + 6 > 16$

Discussion

3520.	Question 28Fill in the blank to make the statement true.The number of common points in the two angles marked in the given figure is______.
Answer» Question 28 Fill in the blank to make the statement true. The number of common points in the two angles marked in the given figure is______.

3520.

Question 28Fill in the blank to make the statement true.The number of common points in the two angles marked in the given figure is______.

Answer»

Question 28

Fill in the blank to make the statement true.

The number of common points in the two angles marked in the given figure is______.

Discussion

3521.	Question 76A solid has forty faces and sixty edges. Find the number of vertices of the solid.
Answer» Question 76 A solid has forty faces and sixty edges. Find the number of vertices of the solid.

Discussion

3522.	An architect drew a scaled down plan of a building. On the map, the dimensions of a room is written as 5 cm×4 cm. If the scale used by him is, 2 cm=100 km. What will be the actual dimensions of the room?
Answer» An architect drew a scaled down plan of a building. On the map, the dimensions of a room is written as $5 cm \times 4 cm$ . If the scale used by him is, $2 cm = 100 km$ . What will be the actual dimensions of the room?

Discussion

3523.	Fabina borrows ₹12,500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much?
Answer» Fabina borrows ₹12,500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much?

Discussion

3524.	If (−2)x=−128, then find the value 'x'.
Answer» If $(- 2)^{x} = - 128$ , then find the value ' $x$ '.

Discussion

3525.	For NASA's upcoming mission, the age criteria for the astronauts is: "At least 21 years of age but less than 40 years of age". Which of the following is the right compound inequality for the age criteria?
Answer» For NASA's upcoming mission, the age criteria for the astronauts is: "At least 21 years of age but less than 40 years of age". Which of the following is the right compound inequality for the age criteria?

Discussion

3526.	What is the square root of 64?
Answer» What is the square root of 64?

Discussion

3527.	What is a parallelogram?
Answer» What is a parallelogram?

Discussion

3528.	In the adjoining figure:Are ∠ BOD and ∠ DOA supplementary?
Answer» In the adjoining figure: Are $∠$ BOD and $∠$ DOA supplementary?

Discussion

3529.	Question 7In the given figure, ∠Q>∠R, PA is the bisector of ∠QPR and PM ⊥ QR. Prove that ∠APM=12(∠Q−∠R)
Answer» Question 7 In the given figure, $∠ Q > ∠ R$ , PA is the bisector of $∠ Q P R$ and PM $⊥$ QR. Prove that $∠ A P M = \frac{1}{2} (∠ Q - ∠ R)$

Discussion

3530.

Sri R maintains a Columnar Petty Cash Book on the Imprest System. The imprest amount is ₹ 5,000. From the following information, show how his Petty Cash Book would appear for the week ended 12th September, 2017: 2016 ₹ Sept. 7 Balance in Hand 1,349 Received cash reimbursement to make up the imprest Postage 123 Stationery 321 Entertainment 54 Sept. 8 Travelling and conveyance 126 Miscellaneous expenses 11 Entertainment 72 Sept. 9 Repairs 1,567 Sept. 10 Postage 174 Entertainment 127 Travelling 673 Sept. 11 Stationery 41 Entertainment 12 Sept 12 Miscellaneous expenses 201 Travelling 51 Postage 483 Repairs 30

Answer» Sri R maintains a Columnar Petty Cash Book on the Imprest System. The imprest amount is ₹ 5,000. From the following information, show how his Petty Cash Book would appear for the week ended 12th September, 2017:

2016		₹
Sept. 7	Balance in Hand	1,349
	Received cash reimbursement to make up the imprest
	Postage	123
	Stationery	321
	Entertainment	54
Sept. 8	Travelling and conveyance	126
	Miscellaneous expenses	11
	Entertainment	72
Sept. 9	Repairs	1,567
Sept. 10	Postage	174
	Entertainment	127
	Travelling	673
Sept. 11	Stationery	41
	Entertainment	12
Sept 12	Miscellaneous expenses	201
	Travelling	51
	Postage	483
	Repairs	30

Discussion

3531.	In the given figure, ABCD is a rhombus. If OB = 3 units, OC = 4 units and AE = 6.4 units. Find the length of BE.
Answer» In the given figure, ABCD is a rhombus. If OB = 3 units, OC = 4 units and AE = 6.4 units. Find the length of BE.

3531.

In the given figure, ABCD is a rhombus. If OB = 3 units, OC = 4 units and AE = 6.4 units. Find the length of BE.

Answer»

In the given figure, ABCD is a rhombus. If OB = 3 units, OC = 4 units and AE = 6.4 units. Find the length of BE.

Discussion

3532.	विजय बाबू एक ग्राहक थे और मुरलीवाला एक विक्रेता। दोनों अपने-अपने पक्ष के समर्थन में क्या तर्क पेश करते हैं ?
Answer» विजय बाबू एक ग्राहक थे और मुरलीवाला एक विक्रेता। दोनों अपने-अपने पक्ष के समर्थन में क्या तर्क पेश करते हैं ?

Discussion

3533.	In △ABC, AB=AC and ∠B=40∘. What is the value of ∠C(in degree)?40
Answer» In $△ A B C$ , $A B = A C$ and $∠ B = 40^{\circ}$ . What is the value of $∠ C$ (in degree)? 40

Discussion

3534.	If 1 measuring cup = 250ml, there are cups in 6 liters.
Answer» $If 1 measuring cup = 250ml,$ $there are$ $cups in 6 liters.$

Discussion

3535.	An electron is moving in a circular path of radius 5.1×10−11 m at a frequency of 6.8×1015 revolutions/sec. The equivalent current is approximately equal to _______.
Answer» An electron is moving in a circular path of radius $5.1 \times 10^{- 11}$ m at a frequency of $6.8 \times 10^{15}$ revolutions/sec. The equivalent current is approximately equal to _______.

Discussion

3536.	{ 27. A goods train leaves a station at }6pm, followed by an express train, which leaves at 8 pm }}{ and travels }20km/h faster than the goods train. The express train arrives at a station, }1040}{km away, }36 min before the goods train. Assuming that the speeds of both the trains remain }} constant between the two stations, calculate their speeds.
Answer» { 27. A goods train leaves a station at }6pm, followed by an express train, which leaves at 8 pm }}{ and travels }20km/h faster than the goods train. The express train arrives at a station, }1040}{km away, }36 min before the goods train. Assuming that the speeds of both the trains remain }} constant between the two stations, calculate their speeds.

Discussion

3537.	Solve using suitable property, state the property.134×86+134×28−134×14
Answer» Solve using suitable property, state the property. $134 \times 86 + 134 \times 28 - 134 \times 14$

3537.

Solve using suitable property, state the property.134×86+134×28−134×14

Answer»

Solve using suitable property, state the property.

$134 \times 86 + 134 \times 28 - 134 \times 14$

Discussion

3538.	Solve (29 - 7.2) - 0.8.
Answer» Solve (29 - 7.2) - 0.8.

Discussion

3539.	Construct a triangle PQR in which PQ = 6.4 cm, PR = QR = 5 cm
Answer» Construct a triangle PQR in which PQ = 6.4 cm, PR = QR = 5 cm

Discussion

3540.	Write the equation of the vertical line that is drawn through the point (2,3)
Answer» Write the equation of the vertical line that is drawn through the point $(2, 3)$

Discussion

3541.	If David has ₹250 and pays ₹150 to the shopkeeper for 1 kg of rice, calculate the percentage of money he gave to the shopkeeper (in %).60
Answer» If David has ₹250 and pays ₹150 to the shopkeeper for 1 kg of rice, calculate the percentage of money he gave to the shopkeeper (in %). 60

Discussion

3542.	Question 18The weight of coffee in 70 packets are shown in the following tableWeight(in g)Number of packets200−20112201−20226202−20320203−2049204−2052205−2061Determine the model weight.
Answer» Question 18 The weight of coffee in 70 packets are shown in the following table $\begin{matrix} W e i g h t (i n g) & N u m b e r o f p a c k e t s 200 - 201 & 12 201 - 202 & 26 202 - 203 & 20 203 - 204 & 9 204 - 205 & 2 205 - 206 & 1 \end{matrix}$ Determine the model weight.

Discussion

3543.	Define arithmetic and geometric growth rates
Answer» Define arithmetic and geometric growth rates

Discussion

3544.	Mathematics what is ecluid algorithms
Answer» Mathematics what is ecluid algorithms

Discussion

3545.	Select the bubble which contains the term which can be further factorized.
Answer» Select the bubble which contains the term which can be further factorized.

Discussion

3546.	John travels first 20 km at 2km/hr and the next 20 km at 10 km/hr. The total time taken by him in completing the journey will be
Answer» John travels first 20 km at 2km/hr and the next 20 km at 10 km/hr. The total time taken by him in completing the journey will be

Discussion

3547.	A uniform circular disc of radius R oscilates in a vertica plan abota horizontal axis.Find the dis†an c of the axis of rotation from the centr for which the peiod is minimum.what is the value of this period
Answer» A uniform circular disc of radius R oscilates in a vertica plan abota horizontal axis.Find the dis†an c of the axis of rotation from the centr for which the peiod is minimum.what is the value of this period

Discussion

3548.	If a2 + 1/a2 = 66, then find the value of a - 1/a (where a > 1).
Answer» If a2 + 1/a2 = 66, then find the value of a - 1/a (where a > 1).

Discussion

3549.	15 (x-4)- 2(x-9) +5(x+6) =0
Answer» 15 (x-4)- 2(x-9) +5(x+6) =0

Discussion

3550.	Q37. In a certain class, the ratio of the number of girls to the number of boys is 2 to 5. If 2 more girls were to enter the class, the ratio would be 1 to 2. How many students are there in the class?
Answer» Q37. In a certain class, the ratio of the number of girls to the number of boys is 2 to 5. If 2 more girls were to enter the class, the ratio would be 1 to 2. How many students are there in the class?

Discussion

Explore topic-wise InterviewSolutions in .

In a triangle ABC , AD is the angle bisector of

Which of the following is a linear (or simple) equation in one variable? Give reasons. [4 MARKS] (i) x2=5 (ii) x+y=4 (iii) x+6=9 (iv) x2+y2=9

In Roman numerals, what happens(i) if a symbol of smaller value is written to the right of a symbol of greater value?(ii) if a symbol of smaller value is written to the left to the left of a symbol of greater value?Explain with the help of examples.

Construct Δ ABC, given ∠A=60∘,∠B=30∘ and AB = 5.8 cm.

Letter S has:

Simplify (−4)3(−4)6

Which one of the four interchanges in signs and number would make the given equation correct? 3+5-2=4 †extdegree+and-, 2 and 3 †extdegree+and-, 3 and 5 †extdegree+and-, 3 and 4 †extdegree+and-, 5 and

Question 2 In the given figure, If AB||CD,CD||EF and y:z=3:7, find x.

What is the value of x for (33)2×(23)2=x6?

The reciprocal ratio of 312:612 is

Question 107 Radhika borrowed ₹ 12000 from her friends. Out of that ₹ 4000 was borrowed at 18 % and the remaining at 15 % rate of interest per annum. What is the total interest after 3 yr?

If the number of lines of symmetry in a polygon is equal to the number of sides it has, then it must be a/ an __ polygon.

Give me some examples of use of sets in daily life?

Whichcongruence criterion do you use in the following?(a) Given:AC = DFAB = DEBC = EF So, ΔABC ≅ΔDEF(b) Given:ZX = RPRQ = ZY∠PRQ = ∠XZYSo, ΔPQR ≅ΔXYZ(c) Given:∠MLN = ∠FGH∠NML = ∠GFHML = FGSo, ΔLMN ≅ΔGFH (d) Given:EB = DBAE = BC∠A = ∠C = 90°So, ΔABE ≅ΔCDB

Number of goals scored by a football player named AJU is represented on the bar graph given below. What will be the central angle made by (in degrees) match 3 if number of goals are represented in the form of a pie chart?90

−338 should be divided byto get −112?

∆ABC is a right triangle right angled at B such that ∠BCA = 2∠BAC. Show that AC = 2BC.

Solve the inequality:5x3+6&gt;16

Question 28Fill in the blank to make the statement true.The number of common points in the two angles marked in the given figure is______.

Question 76A solid has forty faces and sixty edges. Find the number of vertices of the solid.

An architect drew a scaled down plan of a building. On the map, the dimensions of a room is written as 5 cm×4 cm. If the scale used by him is, 2 cm=100 km. What will be the actual dimensions of the room?

Fabina borrows ₹12,500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much?

If (−2)x=−128, then find the value 'x'.

For NASA's upcoming mission, the age criteria for the astronauts is: "At least 21 years of age but less than 40 years of age". Which of the following is the right compound inequality for the age criteria?

What is the square root of 64?

What is a parallelogram?

In the adjoining figure:Are ∠ BOD and ∠ DOA supplementary?

Question 7In the given figure, ∠Q&gt;∠R, PA is the bisector of ∠QPR and PM ⊥ QR. Prove that ∠APM=12(∠Q−∠R)

In the given figure, ABCD is a rhombus. If OB = 3 units, OC = 4 units and AE = 6.4 units. Find the length of BE.

विजय बाबू एक ग्राहक थे और मुरलीवाला एक विक्रेता। दोनों अपने-अपने पक्ष के समर्थन में क्या तर्क पेश करते हैं ?

In △ABC, AB=AC and ∠B=40∘. What is the value of ∠C(in degree)?40

If 1 measuring cup = 250ml, there are cups in 6 liters.

An electron is moving in a circular path of radius 5.1×10−11 m at a frequency of 6.8×1015 revolutions/sec. The equivalent current is approximately equal to _______.

Solve using suitable property, state the property.134×86+134×28−134×14

Solve (29 - 7.2) - 0.8.

Construct a triangle PQR in which PQ = 6.4 cm, PR = QR = 5 cm

Write the equation of the vertical line that is drawn through the point (2,3)

If David has ₹250 and pays ₹150 to the shopkeeper for 1 kg of rice, calculate the percentage of money he gave to the shopkeeper (in %).60

Question 18The weight of coffee in 70 packets are shown in the following tableWeight(in g)Number of packets200−20112201−20226202−20320203−2049204−2052205−2061Determine the model weight.

Define arithmetic and geometric growth rates

Mathematics what is ecluid algorithms

Select the bubble which contains the term which can be further factorized.

John travels first 20 km at 2km/hr and the next 20 km at 10 km/hr. The total time taken by him in completing the journey will be

A uniform circular disc of radius R oscilates in a vertica plan abota horizontal axis.Find the dis†an c of the axis of rotation from the centr for which the peiod is minimum.what is the value of this period

If a2 + 1/a2 = 66, then find the value of a - 1/a (where a > 1).

15 (x-4)- 2(x-9) +5(x+6) =0

Q37. In a certain class, the ratio of the number of girls to the number of boys is 2 to 5. If 2 more girls were to enter the class, the ratio would be 1 to 2. How many students are there in the class?

Solve the inequality:5x3+6>16

Question 7In the given figure, ∠Q>∠R, PA is the bisector of ∠QPR and PM ⊥ QR. Prove that ∠APM=12(∠Q−∠R)