19743 + Interview Questions in Mathematics Page 60 InterviewSolution

2951.	Virender Sehwag’s score card for a five match ODI series is 23, 89, 76, 54, 102 runs respectively. What is Sehwag’s mean score for the tournament?
Answer» Virender Sehwag’s score card for a five match ODI series is 23, 89, 76, 54, 102 runs respectively. What is Sehwag’s mean score for the tournament?

Discussion

2952.	Name the cross section when a cone is cut vertically.
Answer» Name the cross section when a cone is cut vertically.

Discussion

2953.	Find the frequency of getting a number greater than 2 but less than 5.Dice123456Frequency101264810
Answer» Find the frequency of getting a number greater than 2 but less than 5. $\begin{matrix} D i c e & 1 & 2 & 3 & 4 & 5 & 6 F r e q u e n c y & 10 & 12 & 6 & 4 & 8 & 10 \end{matrix}$

2953.

Find the frequency of getting a number greater than 2 but less than 5.Dice123456Frequency101264810

Answer»

Find the frequency of getting a number greater than 2 but less than 5.

$\begin{matrix} D i c e & 1 & 2 & 3 & 4 & 5 & 6 F r e q u e n c y & 10 & 12 & 6 & 4 & 8 & 10 \end{matrix}$

Discussion

2954.	Among the given numbers, select the number which lies between 12 and 89?
Answer» Among the given numbers, select the number which lies between $\frac{1}{2}$ and $\frac{8}{9}$ ?

Discussion

2955.	The dimensions of a rectangle ABCD are 51 cm×25 cm. A trapezium with its parallel sides QC and PD in the ratio 9:8, is cut of from the rectangle as shown in figure. If the area of the trapezium PQCD is 56 the area of the rectangle, find the lengths QC and PD.
Answer» The dimensions of a rectangle ABCD are $51 c m \times 25 c m$ . A trapezium with its parallel sides QC and PD in the ratio 9:8, is cut of from the rectangle as shown in figure. If the area of the trapezium PQCD is $\frac{5}{6}$ the area of the rectangle, find the lengths QC and PD.

Discussion

2956.	Which one of the following straight line equations satisfy the given coordinates?(0,−1),(1,0),(3,2),(4,3)
Answer» Which one of the following straight line equations satisfy the given coordinates? $(0, - 1), (1, 0), (3, 2), (4, 3)$

Discussion

2957.	A cyclist travels at a speed of 20 km/hour. How far will he travel in 50 minutes?
Answer» A cyclist travels at a speed of 20 km/hour. How far will he travel in 50 minutes?

Discussion

2958.	△ω=R/2L How
Answer» △ω=R/2L How

Discussion

2959.	In each of the following cases, given reasons to show that the construction of ∆ABC is not possible:(i) AB = 6 cm, ∠A = 40° and (BC + AC) = 5.8 cm.(ii) AB = 7 cm, ∠A = 50° and (BC – AC) = 8 cm.(iii) BC = 5 cm, ∠B = 80°, ∠C = 50° and ∠A = 60°.(iv) AB = 4 cm, BC = 3 cm and AC = 7 cm.
Answer» In each of the following cases, given reasons to show that the construction of ∆ABC is not possible: (i) AB = 6 cm, ∠A = 40° and (BC + AC) = 5.8 cm. (ii) AB = 7 cm, ∠A = 50° and (BC – AC) = 8 cm. (iii) BC = 5 cm, ∠B = 80°, ∠C = 50° and ∠A = 60°. (iv) AB = 4 cm, BC = 3 cm and AC = 7 cm.

Discussion

2960.	Rohan’s mother gave him ₹ 3 x y2 and his father gave him ₹5(x y2 + 2). Out of the total amount, he spent ₹(10−3xy2) on his birthday party. How much money is left with him?
Answer» Rohan’s mother gave him ₹ $3 x y^{2}$ and his father gave him ₹5( $x y^{2}$ + 2). Out of the total amount, he spent $₹ (10 - 3 x y^{2})$ on his birthday party. How much money is left with him?

Discussion

2961.	in an AP if its mth term is n and its nth tem is m,show e that its rth h term is (m+n+(-r))
Answer» in an AP if its mth term is n and its nth tem is m,show e that its rth h term is (m+n+(-r))

Discussion

2962.	Question 11 If Meena gives an interest of Rs 45 for one year at 9% rate p.a, what is the sum she has borrowed?
Answer» Question 11 If Meena gives an interest of Rs 45 for one year at $9 %$ rate p.a, what is the sum she has borrowed?

Discussion

2963.	The compound interest on a certain sum of money at 5% per annum for two years is ₹246. Calculate the simple interest on the same sum for three years at 6% per annum.
Answer» The compound interest on a certain sum of money at $5 %$ per annum for two years is ₹246. Calculate the simple interest on the same sum for three years at $6 %$ per annum.

Discussion

2964.	The sides of a triangle are 122 m, 22 m and 120 m respectively. Find the perimeter of the triangle.
Answer» The sides of a triangle are 122 m, 22 m and 120 m respectively. Find the perimeter of the triangle.

Discussion

2965.	Draw a line segment AB and locate a point C on AB such that AC = 2/5BC
Answer» Draw a line segment AB and locate a point C on AB such that AC = 2/5BC

Discussion

2966.	Find the product, using suitable properties: (−17)×(−29)
Answer» Find the product, using suitable properties: $(- 17) \times (- 29)$

Discussion

2967.	In the given figure l,m and n are parallel lines, and the lines p and q are also parallel find the values of a,b and c.
Answer» In the given figure $l, m$ and $n$ are parallel lines, and the lines $p$ and $q$ are also parallel find the values of $a, b$ and $c$ .

2967.

In the given figure l,m and n are parallel lines, and the lines p and q are also parallel find the values of a,b and c.

Answer»

In the given figure $l, m$ and $n$ are parallel lines, and the lines $p$ and $q$ are also parallel find the values of $a, b$ and $c$ .

Discussion

2968.	27×143 =
Answer» $\frac{2}{7} \times \frac{14}{3}$ =

Discussion

2969.	Subtract the numbers in the top row from the numbers in the first column and write the proper number in each empty box.−69−4−50+7−8−333−6=−388−(−5)=13−3−2
Answer» Subtract the numbers in the top row from the numbers in the first column and write the proper number in each empty box. $\begin{matrix} - & 6 & 9 & - 4 & - 5 & 0 & + 7 & - 8 & - 3 3 & 3 - 6 = - 3 8 & 8 - (- 5) = 13 - 3 - 2 \end{matrix}$

2969.

Subtract the numbers in the top row from the numbers in the first column and write the proper number in each empty box.−69−4−50+7−8−333−6=−388−(−5)=13−3−2

Answer»

Subtract the numbers in the top row from the numbers in the first column and write the proper number in each empty box.

$\begin{matrix} - & 6 & 9 & - 4 & - 5 & 0 & + 7 & - 8 & - 3 3 & 3 - 6 = - 3 8 & 8 - (- 5) = 13 - 3 - 2 \end{matrix}$

Discussion

2970.	In fig, AD is the median and DE \|\| AB. Prove that BE is a median of ΔABC.
Answer» In fig, AD is the median and DE \|\| AB. Prove that BE is a median of $Δ A B C$ .

Discussion

2971.

In a public library, the librarian made the following observations in a particular week. Days Mon. Tues. Wed. Thurs. Fri. Sat. Newspaper readers 350 400 500 450 550 450 Magazine readers 200 450 300 250 100 50 (i) Draw a double bar graph choosing an appropriate scale.(ii) On which day, the number of readers in the library was maximum?(iii) What is the mean number of magazine readers per day?

Answer» In a public library, the librarian made the following observations in a particular week.

Days	Mon.	Tues.	Wed.	Thurs.	Fri.	Sat.
Newspaper readers	350	400	500	450	550	450
Magazine readers	200	450	300	250	100	50

(i) Draw a double bar graph choosing an appropriate scale.

(ii) On which day, the number of readers in the library was maximum?

(iii) What is the mean number of magazine readers per day?

Discussion

2972.	किस्मत हमको रो लेवे है हम किस्मत को रो ले हैं- इस पंक्ति में शायर की किस्मत के साथ तना-तनी का रिश्ता अभिव्यक्त हुआ है। चर्चा कीजिए।
Answer» किस्मत हमको रो लेवे है हम किस्मत को रो ले हैं- इस पंक्ति में शायर की किस्मत के साथ तना-तनी का रिश्ता अभिव्यक्त हुआ है। चर्चा कीजिए।

2972.

किस्मत हमको रो लेवे है हम किस्मत को रो ले हैं- इस पंक्ति में शायर की किस्मत के साथ तना-तनी का रिश्ता अभिव्यक्त हुआ है। चर्चा कीजिए।

Answer»

किस्मत हमको रो लेवे है हम किस्मत को रो ले हैं- इस पंक्ति में शायर की किस्मत के साथ तना-तनी का रिश्ता अभिव्यक्त हुआ है। चर्चा कीजिए।

Discussion

2973.	Question 4(d)Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion:200 ml : 2.5 litres and Rs 4 : Rs 50
Answer» Question 4(d) Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion: 200 ml : 2.5 litres and Rs 4 : Rs 50

2973.

Question 4(d)Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion:200 ml : 2.5 litres and Rs 4 : Rs 50

Answer»

Question 4(d)

Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion:

200 ml : 2.5 litres and Rs 4 : Rs 50

Discussion

2974.	If a polyhedron has 15 vertices and 20 edges, then it has ___ faces.
Answer» If a polyhedron has 15 vertices and 20 edges, then it has ___ faces.

Discussion

2975.	Steps of construction of traingle from two sides of 4 cm and 7 cm and included angle of 30∘ are
Answer» Steps of construction of traingle from two sides of 4 cm and 7 cm and included angle of 30 $^{\circ}$ are

Discussion

2976.	What is the probability of getting a sum of 15, if 3 dice are thrown simultaneously?
Answer» What is the probability of getting a sum of 15, if 3 dice are thrown simultaneously?

Discussion

2977.	Decide which of the following are quadratic equations.(1) x2 + 5x – 2 = 0(2) y2 = 5y – 10(3) y2+1y=2(4) x+1x=-2(5) (m + 2) (m – 5) = 0(6) m3 + 3m2 – 2 = 3m3
Answer» Decide which of the following are quadratic equations. (1) x² + 5x – 2 = 0 (2) y²= 5y – 10 (3) $y^{2} + \frac{1}{y} = 2$ (4) $x + \frac{1}{x} = - 2$ (5) (m + 2) (m – 5) = 0 (6) m³+ 3m² – 2 = 3m³

Discussion

2978.	Question 75(v) Study the bar graph given below and answer the questions that follow: Calculate the percentage of marks the student got out of 500.
Answer» Question 75(v) Study the bar graph given below and answer the questions that follow: Calculate the percentage of marks the student got out of 500.

Discussion

2979.	Question 1 (iii) Simplify combining like terms: p - (p - q) - q - (q - p)
Answer» Question 1 (iii) Simplify combining like terms: p - (p - q) - q - (q - p)

2979.

Question 1 (iii) Simplify combining like terms: p - (p - q) - q - (q - p)

Answer»

Question 1 (iii)

Simplify combining like terms:

p - (p - q) - q - (q - p)

Discussion

2980.	Draw a 135⁰ angle with the help of a protractor.
Answer» Draw a 135⁰ angle with the help of a protractor.

Discussion

2981.	If 5x3−4=2x5, then the numerical value of 2x−7 is ____.
Answer» If $\frac{5 x}{3} - 4 = \frac{2 x}{5}$ , then the numerical value of $2 x - 7$ is ____.

Discussion

2982.	Which image correctly shows the line of symmetry for the figure?
Answer» Which image correctly shows the line of symmetry for the figure?

Discussion

2983.	Expand(i) (3x + 2)3(ii) 3a+14b3(iii) 1+23a3
Answer» Expand (i) (3x + 2)³ (ii) ${(3 a + \frac{1}{4 b})}^{3}$ (iii) ${(1 + \frac{2}{3} a)}^{3}$

Discussion

2984.	Question 3 ABC is an isosceles triangle with AB = AC and D is a point on BC such that AD⊥BC (see figure). To prove that ∠BAD=∠CAD, a student proceeded as follows. In ΔABD and ΔACD, we have AB= AC [given] ∠B=∠C [because AB=AC] And ∠ADB=∠ADC Therefore,ΔABD≅ΔACD [by AAS congruence rule] So,∠BAD=∠CAD [by CPCT] What is the defect in the above arguments?
Answer» Question 3 ABC is an isosceles triangle with AB = AC and D is a point on BC such that $A D ⊥ B C$ (see figure). To prove that $∠ B A D = ∠ C A D$ , a student proceeded as follows. In $Δ A B D$ and $Δ A C D$ , we have AB= AC [given] $∠ B = ∠ C$ [because AB=AC] And $∠ A D B = ∠ A D C$ Therefore, $Δ A B D ≅ Δ A C D$ [by AAS congruence rule] So, $∠ B A D = ∠ C A D$ [by CPCT] What is the defect in the above arguments?

Discussion

2985.	Find the missing term in the sequence 2.828, 3.464, 4, 4.472, ?, 5.292
Answer» Find the missing term in the sequence 2.828, 3.464, 4, 4.472, ?, 5.292

2985.

Find the missing term in the sequence 2.828, 3.464, 4, 4.472, ?, 5.292

Answer»

Find the missing term in the sequence

2.828, 3.464, 4, 4.472, ?, 5.292

Discussion

2986.	Find the value of the expression. 234−58+(−512)+116
Answer» Find the value of the expression. $2 \frac{3}{4} - \frac{5}{8} + (\frac{- 5}{12}) + 1 \frac{1}{6}$

Discussion

2987.	Compute the weaving ratio for west-north weaving section for the given intersection[Answers correct up to two decimal place]0.7
Answer» Compute the weaving ratio for west-north weaving section for the given intersection [Answers correct up to two decimal place] 0.7

Discussion

2988.	integration of x multiply underroot 1-(xx)/1+(xx)
Answer» integration of x multiply underroot 1-(xx)/1+(xx)

Discussion

2989.	What is the product of (+8) and (−3)?
Answer» What is the product of (+8) and (−3)?

Discussion

2990.	On 1st January, 2019 for goods sold, Ramesh drew a Bill of Exchange on Mahesh for ₹ 4,000, for a period of 3 months. Mahesh accepts it and returns to Ramesh. Ramesh then endorses it to Mukesh who in turn endorses it to Suresh on 1st February, 2019. The bill is then discounted by Suresh on the same date with his bank at 5% p.a. On the due date the bill is dishonoured.Pass the necessary Journal entries in the books of all the four parties.
Answer» On 1st January, 2019 for goods sold, Ramesh drew a Bill of Exchange on Mahesh for ₹ 4,000, for a period of 3 months. Mahesh accepts it and returns to Ramesh. Ramesh then endorses it to Mukesh who in turn endorses it to Suresh on 1st February, 2019. The bill is then discounted by Suresh on the same date with his bank at 5% p.a. On the due date the bill is dishonoured. Pass the necessary Journal entries in the books of all the four parties.

Discussion

2991.	In an equilateral triangle PQR, if p, q and r denote the lengths of the perpendiculars from P, Q, R respectively on the opposite sides, then which of the following is/are correct?
Answer» In an equilateral triangle PQR, if p, q and r denote the lengths of the perpendiculars from P, Q, R respectively on the opposite sides, then which of the following is/are correct?

Discussion

2992.	The minimum number of elements that must be added to the relation R = {(1,2),(2,3)} on the subset of natural numbers so that is an equivalence is
Answer» The minimum number of elements that must be added to the relation R = {(1,2),(2,3)} on the subset of natural numbers so that is an equivalence is

Discussion

2993.	If (a−2b)−(2b−a) = x, then x is
Answer» If $(a - 2 b) - (2 b - a)$ = $x$ , then $x$ is

Discussion

2994.	In the figure given below, identify the exterior angles.
Answer» In the figure given below, identify the exterior angles.

2994.

In the figure given below, identify the exterior angles.

Answer»

In the figure given below, identify the exterior angles.

Discussion

2995.	15 m/s = ___.(in km/hr)
Answer» 15 m/s = ___.(in km/hr)

Discussion

2996.	Question 133 In the given figure, ΔPQR is the right-angled at P. U and T are the points on the line QR. If QP∥ST and US∥RP, find ∠S
Answer» Question 133 In the given figure, $Δ P Q R$ is the right-angled at P. U and T are the points on the line QR. If $Q P ∥ S T$ and $U S ∥ R P$ , find $∠ S$

2996.

Question 133 In the given figure, ΔPQR is the right-angled at P. U and T are the points on the line QR. If QP∥ST and US∥RP, find ∠S

Answer»

Question 133

In the given figure, $Δ P Q R$ is the right-angled at P. U and T are the points on the line QR. If $Q P ∥ S T$ and $U S ∥ R P$ , find $∠ S$

Discussion

2997.	The relation between the number of days(n), and the earnings(c), is plotted in the given graph. Which of the following table of data is plotted in the graph?
Answer» The relation between the number of days(n), and the earnings(c), is plotted in the given graph. Which of the following table of data is plotted in the graph?

Discussion

2998.	A train travels 360 km at a uniform speed . If the speed has been 5km/h more,then it would have taken 1 hour less for the same journey . find the speed of the train. ir
Answer» A train travels 360 km at a uniform speed . If the speed has been 5km/h more,then it would have taken 1 hour less for the same journey . find the speed of the train. ir

Discussion

2999.	The sum of a rational number −12and its multiplicative inverse is a) 0 b) 1 c) −212 d) −2
Answer» The sum of a rational number $- \frac{1}{2}$ and its multiplicative inverse is a) $0$ b) $1$ c) $- 2 \frac{1}{2}$ d) $- 2$

2999.

The sum of a rational number −12and its multiplicative inverse is a) 0 b) 1 c) −212 d) −2

Answer»

The sum of a rational number $- \frac{1}{2}$ and its multiplicative inverse is

a) $0$

b) $1$

c) $- 2 \frac{1}{2}$

d) $- 2$

Discussion

3000.	A family went to a restaurant for dinner. In the menu card, they saw 6 Italian, 10 Indian and 8 Chinese cuisine. What are the number of ways in which they can select each of an Italian, an Indian and a Chinese cuisine?
Answer» A family went to a restaurant for dinner. In the menu card, they saw 6 Italian, 10 Indian and 8 Chinese cuisine. What are the number of ways in which they can select each of an Italian, an Indian and a Chinese cuisine?

Discussion

Explore topic-wise InterviewSolutions in .

Virender Sehwag’s score card for a five match ODI series is 23, 89, 76, 54, 102 runs respectively. What is Sehwag’s mean score for the tournament?

Name the cross section when a cone is cut vertically.

Find the frequency of getting a number greater than 2 but less than 5.Dice123456Frequency101264810

Among the given numbers, select the number which lies between 12 and 89?

The dimensions of a rectangle ABCD are 51 cm×25 cm. A trapezium with its parallel sides QC and PD in the ratio 9:8, is cut of from the rectangle as shown in figure. If the area of the trapezium PQCD is 56 the area of the rectangle, find the lengths QC and PD.

Which one of the following straight line equations satisfy the given coordinates?(0,−1),(1,0),(3,2),(4,3)

A cyclist travels at a speed of 20 km/hour. How far will he travel in 50 minutes?

△ω=R/2L How

Rohan’s mother gave him ₹ 3 x y2 and his father gave him ₹5(x y2 + 2). Out of the total amount, he spent ₹(10−3xy2) on his birthday party. How much money is left with him?

in an AP if its mth term is n and its nth tem is m,show e that its rth h term is (m+n+(-r))

Question 11 If Meena gives an interest of Rs 45 for one year at 9% rate p.a, what is the sum she has borrowed?

The compound interest on a certain sum of money at 5% per annum for two years is ₹246. Calculate the simple interest on the same sum for three years at 6% per annum.

The sides of a triangle are 122 m, 22 m and 120 m respectively. Find the perimeter of the triangle.

Draw a line segment AB and locate a point C on AB such that AC = 2/5BC

Find the product, using suitable properties: (−17)×(−29)

In the given figure l,m and n are parallel lines, and the lines p and q are also parallel find the values of a,b and c.

27×143 =

Subtract the numbers in the top row from the numbers in the first column and write the proper number in each empty box.−69−4−50+7−8−333−6=−388−(−5)=13−3−2

In fig, AD is the median and DE || AB. Prove that BE is a median of ΔABC.

Question 4(d)Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion:200 ml : 2.5 litres and Rs 4 : Rs 50

If a polyhedron has 15 vertices and 20 edges, then it has ___ faces.

Steps of construction of traingle from two sides of 4 cm and 7 cm and included angle of 30∘ are

What is the probability of getting a sum of 15, if 3 dice are thrown simultaneously?

Decide which of the following are quadratic equations.(1) x2 + 5x – 2 = 0(2) y2 = 5y – 10(3) y2+1y=2(4) x+1x=-2(5) (m + 2) (m – 5) = 0(6) m3 + 3m2 – 2 = 3m3

Question 75(v) Study the bar graph given below and answer the questions that follow: Calculate the percentage of marks the student got out of 500.

Question 1 (iii) Simplify combining like terms: p - (p - q) - q - (q - p)

Draw a 135⁰ angle with the help of a protractor.

If 5x3−4=2x5, then the numerical value of 2x−7 is ____.

Which image correctly shows the line of symmetry for the figure?

Expand(i) (3x + 2)3(ii) 3a+14b3(iii) 1+23a3

Find the missing term in the sequence 2.828, 3.464, 4, 4.472, ?, 5.292

Find the value of the expression. 234−58+(−512)+116

Compute the weaving ratio for west-north weaving section for the given intersection[Answers correct up to two decimal place]0.7

integration of x multiply underroot 1-(x*x)/1+(x*x)

What is the product of (+8) and (−3)?

In an equilateral triangle PQR, if p, q and r denote the lengths of the perpendiculars from P, Q, R respectively on the opposite sides, then which of the following is/are correct?

The minimum number of elements that must be added to the relation R = {(1,2),(2,3)} on the subset of natural numbers so that is an equivalence is

If (a−2b)−(2b−a) = x, then x is

In the figure given below, identify the exterior angles.

15 m/s = ___.(in km/hr)

Question 133 In the given figure, ΔPQR is the right-angled at P. U and T are the points on the line QR. If QP∥ST and US∥RP, find ∠S

The relation between the number of days(n), and the earnings(c), is plotted in the given graph. Which of the following table of data is plotted in the graph?

A train travels 360 km at a uniform speed . If the speed has been 5km/h more,then it would have taken 1 hour less for the same journey . find the speed of the train. ir

The sum of a rational number −12and its multiplicative inverse is a) 0 b) 1 c) −212 d) −2

A family went to a restaurant for dinner. In the menu card, they saw 6 Italian, 10 Indian and 8 Chinese cuisine. What are the number of ways in which they can select each of an Italian, an Indian and a Chinese cuisine?

integration of x multiply underroot 1-(xx)/1+(xx)