24740 + Interview Questions in Mathematics Page 154 InterviewSolution

7651.	Which of the followingis a factor of (2+1)(2^2+1)(2^4+1)(2^8+1)(2^{16}+1) options(1)2^4-4 (2)2^4-1 (3)2^8+8 (4)2^2+2
Answer» Which of the followingis a factor of (2+1)(2^2+1)(2^4+1)(2^8+1)(2^{16}+1) options(1)2^4-4 (2)2^4-1 (3)2^8+8 (4)2^2+2

Discussion

7652.	Calculate the area and the height of a equilateral triangle whose perimeter is 60 cm
Answer» Calculate the area and the height of a equilateral triangle whose perimeter is 60 cm

Discussion

7653.	Question 9 (iv)In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP=BQ (see the given figure) Show that:AQ = CP
Answer» Question 9 (iv) In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP=BQ (see the given figure) Show that: AQ = CP

Discussion

7654.	An equilateral triangle ABC of side x units is inscribed in a circle which is centered at O, as shown below. Then the radius of this circle is
Answer» An equilateral triangle ABC of side $x$ units is inscribed in a circle which is centered at O, as shown below. Then the radius of this circle is

Discussion

7655.	The mean of marks scored by 100 students was found to be 40. Later on it was discovered that a score of 53 was misread as 83. Find the correct mean.
Answer» The mean of marks scored by 100 students was found to be 40. Later on it was discovered that a score of 53 was misread as 83. Find the correct mean.

Discussion

7656.	The median AA' of the \bigtriangleup ABC meets the side B'C' of the medial triangle A'B'C' in P and CP meets AB in Q .Show that in the triangle ABC,AB=3A
Answer» The median AA' of the \bigtriangleup ABC meets the side B'C' of the medial triangle A'B'C' in P and CP meets AB in Q .Show that in the triangle ABC,AB=3A

Discussion

7657.	PQRS is a square. T and U are the mid-points of sides PS and QR respectively. Find the area of ΔOTS, if PQ= 8 cm, where O is the point of intersection of TU and OS.
Answer» PQRS is a square. T and U are the mid-points of sides PS and QR respectively. Find the area of ΔOTS, if PQ= 8 cm, where O is the point of intersection of TU and OS.

Discussion

7658.	A field is in the shape of an isosceles trapezium with parallel sides measuring 20 m and 8m and its non-parallel sides measuring 10 m. Find its area ___ (in cm2).
Answer» A field is in the shape of an isosceles trapezium with parallel sides measuring $20 m and 8m$ and its non-parallel sides measuring $10 m$ . Find its area ___ (in $c m^{2}$ ).

7658.

A field is in the shape of an isosceles trapezium with parallel sides measuring 20 m and 8m and its non-parallel sides measuring 10 m. Find its area ___ (in cm2).

Answer»

A field is in the shape of an isosceles trapezium with parallel sides measuring $20 m and 8m$ and its non-parallel sides measuring $10 m$ . Find its area ___ (in $c m^{2}$ ).

Discussion

7659.	28. Find the volume of cylinder,circumference of whose base is 110cm and height is 20cm
Answer» 28. Find the volume of cylinder,circumference of whose base is 110cm and height is 20cm

Discussion

7660.	how many tetrahedral and octahedral voids are completely inside in bcc
Answer» how many tetrahedral and octahedral voids are completely inside in bcc

Discussion

7661.	If the cost of 7 pens is Rs 84. Find the cost of 19 pens.
Answer» If the cost of 7 pens is Rs 84. Find the cost of 19 pens.

Discussion

7662.	1. Choose the correct alternative.(1) In the adjoining figure, if line m ∥ line n and line p is a transversal then find x.(A) 135°(B) 90°(C) 45°(D) 40°(2) In the adjoining figure, if line a ∥ line b and line l is a transversal then find x.(A) 90°(B) 60°(C) 45°(D) 30°
Answer» 1. Choose the correct alternative. (1) In the adjoining figure, if line m ∥ line n and line p is a transversal then find x. (A) 135 $°$ (B) 90 $°$ (C) 45 $°$ (D) 40 $°$ (2) In the adjoining figure, if line a ∥ line b and line l is a transversal then find x. (A) 90 $°$ (B) 60 $°$ (C) 45 $°$ (D) 30 $°$

Discussion

7663.	Using correct to three decimals.
Answer» Using correct to three decimals.

7663.

Using correct to three decimals.

Answer»

Using correct to three decimals.

Discussion

7664.

The following table gives the total product schedule of labour. Find the corresponding average product and marginal product schedules of labour. L TPL 0 0 1 15 2 35 3 50 4 40 5 48

Answer»

The following table gives the total product schedule of labour. Find the corresponding average product and marginal product schedules of labour.

L	TP_L
0	0
1	15
2	35
3	50
4	40
5	48

Discussion

7665.	If a, b, c are positive real numbers, then √a−1b×√b−1c×√c−1a is equal to
Answer» If a, b, c are positive real numbers, then $\sqrt{a^{- 1} b} \times \sqrt{b^{- 1} c} \times \sqrt{c^{- 1} a}$ is equal to

Discussion

7666.	Find the mean of 994, 996, 998, 1002, 1000.
Answer» Find the mean of 994, 996, 998, 1002, 1000.

Discussion

7667.	How many planes can be made pass through two points?
Answer» How many planes can be made pass through two points?

Discussion

7668.	Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of ΔPQR (see the given figure). Show that:(i) ΔABM ≅ ΔPQN(ii) ΔABC ≅ ΔPQR
Answer» Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of ΔPQR (see the given figure). Show that: (i) ΔABM ≅ ΔPQN (ii) ΔABC ≅ ΔPQR

7668.

Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of ΔPQR (see the given figure). Show that:(i) ΔABM ≅ ΔPQN(ii) ΔABC ≅ ΔPQR

Answer»

Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of ΔPQR (see the given figure). Show that:

(i) ΔABM ≅ ΔPQN

(ii) ΔABC ≅ ΔPQR

Discussion

7669.	Question 1 (iv)Evaluate :cosec31∘−sec59∘
Answer» Question 1 (iv) Evaluate : $c o s e c 31^{\circ} - s e c 59^{\circ}$

Discussion

7670.	How will be the following errors rectified?(i) Purchases Book is overcasted by ₹ 10,000.(ii) Purchases Return Book is overcasted by ₹ 1,000.(iii) Purchases Return Book’s balance is carried forward in excess by ₹ 100.(iv) Purchases Book’s balance is carried forward in excess by ₹ 1,000.
Answer» How will be the following errors rectified? (i) Purchases Book is overcasted by ₹ 10,000. (ii) Purchases Return Book is overcasted by ₹ 1,000. (iii) Purchases Return Book’s balance is carried forward in excess by ₹ 100. (iv) Purchases Book’s balance is carried forward in excess by ₹ 1,000.

Discussion

7671.	A cylinder with radius r and height h is closed on the top and bottom. Which of the following expressions represents the total surface area of this cylinder?(a) 2πr (r+h)(b) πr (r+2h)(c) πr+(2r+h)(d) 2πr2+h
Answer» A cylinder with radius r and height h is closed on the top and bottom. Which of the following expressions represents the total surface area of this cylinder? (a) $2 πr (r + h)$ (b) $πr (r + 2 h)$ (c) $πr + (2 r + h)$ (d) $2 {πr}^{2} + h$

Discussion

7672.	A bus stop is barricaded from the remaining part of the road, by using 50 hollow cones made of recycled cardboard. Each cone has a base diameter of 40 cm and height 1 m. If the outer side of each of the cones is to be painted and the cost of painting is ₹ 12 per m2, what will be the cost of painting all these cones? (Use π=3.14 and take √1.04=1.02)
Answer» A bus stop is barricaded from the remaining part of the road, by using $50$ hollow cones made of recycled cardboard. Each cone has a base diameter of $40 c m$ and height $1 m$ . If the outer side of each of the cones is to be painted and the cost of painting is $₹ 12 p e r m^{2}$ , what will be the cost of painting all these cones? $(U s e π = 3.14$ and take $\sqrt{1.04} = 1.02)$

Discussion

7673.	The dimensional formula of m_{dt}^{dv} is
Answer» The dimensional formula of m_{dt}^{dv} is

Discussion

7674.	Calculate the area of the designed region in figure common between the two quadrants of circle of radius 8 cm each.
Answer» Calculate the area of the designed region in figure common between the two quadrants of circle of radius 8 cm each.

Discussion

7675.	Question 1 The distance of the point P(2,3) from the x - axis is: (A) 2 (B) 3 (C) 1 (D) 5
Answer» Question 1 The distance of the point P(2,3) from the x - axis is: (A) 2 (B) 3 (C) 1 (D) 5

Discussion

7676.	On 1st April, 2019, the position of Rahman was as follows: Cash-in Hand ₹ 11,200; Cash at bank ₹ 2,57,600; Bills Receivable ₹ 68,800; Jai Ram (Dr.) ₹ 16,000; Ram Kumar (Dr.) ₹ 48,080; Office Furniture ₹ 52,800; Stock-in-Trade ₹ 4,16,000; Doulat Ram (Cr.) ₹ 1,74,720, Hari Ram (Cr.) ₹ 2,16,960; Bills Payable ₹ 80,000. What was the amount of capital of Rahman on that date? Pass the Journal entry to Open his books.
Answer» On 1st April, 2019, the position of Rahman was as follows: Cash-in Hand ₹ 11,200; Cash at bank ₹ 2,57,600; Bills Receivable ₹ 68,800; Jai Ram (Dr.) ₹ 16,000; Ram Kumar (Dr.) ₹ 48,080; Office Furniture ₹ 52,800; Stock-in-Trade ₹ 4,16,000; Doulat Ram (Cr.) ₹ 1,74,720, Hari Ram (Cr.) ₹ 2,16,960; Bills Payable ₹ 80,000. What was the amount of capital of Rahman on that date? Pass the Journal entry to Open his books.

Discussion

7677.	The decimal expansion of π is:
Answer» The decimal expansion of $π$ is:

Discussion

7678.	27 spherical iron balls of radius 5 cm each are melted and recast into a big sphere. Find the radius of the big sphere formed.
Answer» 27 spherical iron balls of radius 5 cm each are melted and recast into a big sphere. Find the radius of the big sphere formed.

Discussion

7679.	Question 168Find the measure of an exterior angle of a regular pentagon and an exterior angle of a regular decagon. What is the ratio between these two angles?
Answer» Question 168 Find the measure of an exterior angle of a regular pentagon and an exterior angle of a regular decagon. What is the ratio between these two angles?

Discussion

7680.	The sum of two angles of a triangle is 80° and their difference is 20°. Find the angles of the triangle.
Answer» The sum of two angles of a triangle is 80° and their difference is 20°. Find the angles of the triangle.

Discussion

7681.	Find the value of a such that (x-4) is a factor of 5x3−7x2 - ax - 28
Answer» Find the value of a such that (x-4) is a factor of $5 x^{3} - 7 x^{2}$ - ax - 28

Discussion

7682.	Question 8(iii)Using (x+a)(x+b)=x2+(a+b)x+ab, find 103×98
Answer» Question 8(iii) Using $(x + a) (x + b) = x^{2} + (a + b) x + a b$ , find $103 \times 98$

Discussion

7683.	In which quadrant or on which axis do each of the points (-2,4), (3, -1), (-1, 0), (1, 2) and (-3, -5) lie?Verify your answer by locating them on the Cartesian plane.
Answer» In which quadrant or on which axis do each of the points (-2,4), (3, -1), (-1, 0), (1, 2) and (-3, -5) lie? Verify your answer by locating them on the Cartesian plane.

Discussion

7684.	23. In the equation P+V2(V-b) = constant, the unit ofais5(а) dyne x cm(c) dyne x cm(b) dyne x cm(d) dyne x cmion hatuttrDointtwo
Answer» 23. In the equation P+V2(V-b) = constant, the unit ofais5(а) dyne x cm(c) dyne x cm(b) dyne x cm(d) dyne x cmion hatuttrDointtwo

Discussion

7685.	The perimeter of a triangullar field is 144 m and the ratio of the sides is 3 : 4 : 5. Find the area of the field.
Answer» The perimeter of a triangullar field is 144 m and the ratio of the sides is 3 : 4 : 5. Find the area of the field.

Discussion

7686.	The equation of the tangent to the curve y=1−ex/2 at the point of intersection with the y- axis is
Answer» The equation of the tangent to the curve $y = 1 - e^{x / 2}$ at the point of intersection with the y- axis is

Discussion

7687.	Two coins are tossed 1000 times and the outcomes are recorded as given below: Number of heads210Frequency200550250 Now, it two coins are tossed at random, what is the probability of getting at most one head? (a) 34 (b) 45 (c) 14 (d) 15
Answer» Two coins are tossed 1000 times and the outcomes are recorded as given below: $\begin{matrix} Number of heads & 2 & 1 & 0 Frequency & 200 & 550 & 250 \end{matrix}$ Now, it two coins are tossed at random, what is the probability of getting at most one head? (a) $\frac{3}{4}$ (b) $\frac{4}{5}$ (c) $\frac{1}{4}$ (d) $\frac{1}{5}$

7687.

Two coins are tossed 1000 times and the outcomes are recorded as given below: Number of heads210Frequency200550250 Now, it two coins are tossed at random, what is the probability of getting at most one head? (a) 34 (b) 45 (c) 14 (d) 15

Answer»

Two coins are tossed 1000 times and the outcomes are recorded as given below:

$\begin{matrix} Number of heads & 2 & 1 & 0 Frequency & 200 & 550 & 250 \end{matrix}$

Now, it two coins are tossed at random, what is the probability of getting at most one head?

(a) $\frac{3}{4}$

(b) $\frac{4}{5}$

(c) $\frac{1}{4}$

(d) $\frac{1}{5}$

Discussion

7688.	The lengths of the sides of a triangle are 5 cm, 12 cm and 13 cm. The length of the perpendicular from the opposite vertex to the side whose length is 13 cm is m13. Find the value of m÷10.
Answer» The lengths of the sides of a triangle are 5 cm, 12 cm and 13 cm. The length of the perpendicular from the opposite vertex to the side whose length is 13 cm is $\frac{m}{13}$ . Find the value of $m \div 10$ .

Discussion

7689.	If tan2A=cot(A−18∘), where 2A is an acute angle, find the value of A.
Answer» If $t a n 2 A = c o t (A - 18^{\circ})$ , where 2A is an acute angle, find the value of A.

Discussion

7690.	Statement 1: When two lines intersect each other, only the angles forming linear pair are supplementary.Statement 2: When two lines intersect each other, angles forming linear pair are supplementary.Choose one or more correct option(s).
Answer» Statement $1$ : When two lines intersect each other, only the angles forming linear pair are supplementary. Statement $2$ : When two lines intersect each other, angles forming linear pair are supplementary. Choose one or more correct option(s).

7690.

Statement 1: When two lines intersect each other, only the angles forming linear pair are supplementary.Statement 2: When two lines intersect each other, angles forming linear pair are supplementary.Choose one or more correct option(s).

Answer»

Statement $1$ : When two lines intersect each other, only the angles forming linear pair are supplementary.

Statement $2$ : When two lines intersect each other, angles forming linear pair are supplementary.

Choose one or more correct option(s).

Discussion

7691.	44. A disc of radius r is cut out from a larger uniform disc of radius 2r in such a way that the edge of the hole touch of the disc. locate the centre of mass of remaining part.
Answer» 44. A disc of radius r is cut out from a larger uniform disc of radius 2r in such a way that the edge of the hole touch of the disc. locate the centre of mass of remaining part.

Discussion

7692.	Prove that in any quadrilateral, the sum of the external angles at two vertices is equal to the sum of the internal angles at the other two vertices.
Answer» Prove that in any quadrilateral, the sum of the external angles at two vertices is equal to the sum of the internal angles at the other two vertices.

Discussion

7693.	If logab=logbc=logca, then a, b, c are such that __________ .
Answer» If $l o g_{a} b = l o g_{b} c = l o g_{c} a$ , then a, b, c are such that __________ .

Discussion

7694.	50. Which one is true? (a)2+3i>1+4i (b)5+9i>5+6i (c)3+3i>6+2i (d)none of these
Answer» 50. Which one is true? (a)2+3i>1+4i (b)5+9i>5+6i (c)3+3i>6+2i (d)none of these

7694.

50. Which one is true? (a)2+3i>1+4i (b)5+9i>5+6i (c)3+3i>6+2i (d)none of these

Answer»

50. Which one is true?

(a)2+3i>1+4i

(b)5+9i>5+6i

(c)3+3i>6+2i

(d)none of these

Discussion

7695.	∆ ABC is isosceles in which AB = AC. Seg BD and seg CE are medians. Show that BD = CE.
Answer» $∆$ ABC is isosceles in which AB = AC. Seg BD and seg CE are medians. Show that BD = CE.

Discussion

7696.	Calculate the amount on ₹ 15,000 in 2 years and at 16 % compounded annually.
Answer» Calculate the amount on ₹ 15,000 in 2 years and at 16 % compounded annually.

Discussion

7697.	Let R be a relation from Q to Q defined by R={(a,b): a,b∈Q and a−b∈Z}.Show that:(i) (a,a)∈R for all a∈Q(ii) (a,b)∈R implies that (b,a)∈R(iii) (a,b)∈R and (b,c)∈R implies that (a,c)∈R
Answer» Let $R$ be a relation from $Q$ to $Q$ defined by $R = {(a, b) : a, b \in Q and a - b \in Z}$ . Show that: $(i) (a, a) \in R$ for all $a \in Q$ $(i i) (a, b) \in R$ implies that $(b, a) \in R$ $(i i i) (a, b) \in R and (b, c) \in R$ implies that $(a, c) \in R$

Discussion

7698.	In ∆MNP, NQ is a bisector of ∠N. If MN = 5, PN = 7 MQ = 2.5 then Find QP.
Answer» In ∆MNP, NQ is a bisector of ∠N. If MN = 5, PN = 7 MQ = 2.5 then Find QP.

Discussion

7699.	How many degrees are in one-half of a circle?
Answer» How many degrees are in one-half of a circle?

Discussion

7700.

The following bar graph shows the results of an annual examination in a secondary school. Choose the correct option for: The pair of classes in which the results of boys and girls are inversely proportional are:

Answer»

The following bar graph shows the results of an annual examination in a secondary school. Choose the correct option for: The pair of classes in which the results of boys and girls are inversely proportional are:

Discussion

Explore topic-wise InterviewSolutions in .

Which of the followingis a factor of (2+1)(2^2+1)(2^4+1)(2^8+1)(2^{16}+1) options(1)2^4-4 (2)2^4-1 (3)2^8+8 (4)2^2+2

Calculate the area and the height of a equilateral triangle whose perimeter is 60 cm

Question 9 (iv)In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP=BQ (see the given figure) Show that:AQ = CP

An equilateral triangle ABC of side x units is inscribed in a circle which is centered at O, as shown below. Then the radius of this circle is

The mean of marks scored by 100 students was found to be 40. Later on it was discovered that a score of 53 was misread as 83. Find the correct mean.

The median AA' of the \bigtriangleup ABC meets the side B'C' of the medial triangle A'B'C' in P and CP meets AB in Q .Show that in the triangle ABC,AB=3A

PQRS is a square. T and U are the mid-points of sides PS and QR respectively. Find the area of ΔOTS, if PQ= 8 cm, where O is the point of intersection of TU and OS.

A field is in the shape of an isosceles trapezium with parallel sides measuring 20 m and 8m and its non-parallel sides measuring 10 m. Find its area ___ (in cm2).

28. Find the volume of cylinder,circumference of whose base is 110cm and height is 20cm

how many tetrahedral and octahedral voids are completely inside in bcc

If the cost of 7 pens is Rs 84. Find the cost of 19 pens.

1. Choose the correct alternative.(1) In the adjoining figure, if line m ∥ line n and line p is a transversal then find x.(A) 135°(B) 90°(C) 45°(D) 40°(2) In the adjoining figure, if line a ∥ line b and line l is a transversal then find x.(A) 90°(B) 60°(C) 45°(D) 30°

Using correct to three decimals.

The following table gives the total product schedule of labour. Find the corresponding average product and marginal product schedules of labour. L TPL 0 0 1 15 2 35 3 50 4 40 5 48

If a, b, c are positive real numbers, then √a−1b×√b−1c×√c−1a is equal to

Find the mean of 994, 996, 998, 1002, 1000.

How many planes can be made pass through two points?

Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of ΔPQR (see the given figure). Show that:(i) ΔABM ≅ ΔPQN(ii) ΔABC ≅ ΔPQR

Question 1 (iv)Evaluate :cosec31∘−sec59∘

How will be the following errors rectified?(i) Purchases Book is overcasted by ₹ 10,000.(ii) Purchases Return Book is overcasted by ₹ 1,000.(iii) Purchases Return Book’s balance is carried forward in excess by ₹ 100.(iv) Purchases Book’s balance is carried forward in excess by ₹ 1,000.

A cylinder with radius r and height h is closed on the top and bottom. Which of the following expressions represents the total surface area of this cylinder?(a) 2πr (r+h)(b) πr (r+2h)(c) πr+(2r+h)(d) 2πr2+h

The dimensional formula of m_{dt}^{dv} is

Calculate the area of the designed region in figure common between the two quadrants of circle of radius 8 cm each.

Question 1 The distance of the point P(2,3) from the x - axis is: (A) 2 (B) 3 (C) 1 (D) 5

The decimal expansion of π is:

27 spherical iron balls of radius 5 cm each are melted and recast into a big sphere. Find the radius of the big sphere formed.

Question 168Find the measure of an exterior angle of a regular pentagon and an exterior angle of a regular decagon. What is the ratio between these two angles?

The sum of two angles of a triangle is 80° and their difference is 20°. Find the angles of the triangle.

Find the value of a such that (x-4) is a factor of 5x3−7x2 - ax - 28

Question 8(iii)Using (x+a)(x+b)=x2+(a+b)x+ab, find 103×98

In which quadrant or on which axis do each of the points (-2,4), (3, -1), (-1, 0), (1, 2) and (-3, -5) lie?Verify your answer by locating them on the Cartesian plane.

23. In the equation P+V2(V-b) = constant, the unit ofais5(а) dyne x cm(c) dyne x cm(b) dyne x cm(d) dyne x cmion hatuttrDointtwo

The perimeter of a triangullar field is 144 m and the ratio of the sides is 3 : 4 : 5. Find the area of the field.

The equation of the tangent to the curve y=1−ex/2 at the point of intersection with the y- axis is

Two coins are tossed 1000 times and the outcomes are recorded as given below: Number of heads210Frequency200550250 Now, it two coins are tossed at random, what is the probability of getting at most one head? (a) 34 (b) 45 (c) 14 (d) 15

The lengths of the sides of a triangle are 5 cm, 12 cm and 13 cm. The length of the perpendicular from the opposite vertex to the side whose length is 13 cm is m13. Find the value of m÷10.

If tan2A=cot(A−18∘), where 2A is an acute angle, find the value of A.

Statement 1: When two lines intersect each other, only the angles forming linear pair are supplementary.Statement 2: When two lines intersect each other, angles forming linear pair are supplementary.Choose one or more correct option(s).

44. A disc of radius r is cut out from a larger uniform disc of radius 2r in such a way that the edge of the hole touch of the disc. locate the centre of mass of remaining part.

Prove that in any quadrilateral, the sum of the external angles at two vertices is equal to the sum of the internal angles at the other two vertices.

If logab=logbc=logca, then a, b, c are such that __________ .

50. Which one is true? (a)2+3i&gt;1+4i (b)5+9i&gt;5+6i (c)3+3i&gt;6+2i (d)none of these

∆ ABC is isosceles in which AB = AC. Seg BD and seg CE are medians. Show that BD = CE.

Calculate the amount on ₹ 15,000 in 2 years and at 16 % compounded annually.

Let R be a relation from Q to Q defined by R={(a,b): a,b∈Q and a−b∈Z}.Show that:(i) (a,a)∈R for all a∈Q(ii) (a,b)∈R implies that (b,a)∈R(iii) (a,b)∈R and (b,c)∈R implies that (a,c)∈R

In ∆MNP, NQ is a bisector of ∠N. If MN = 5, PN = 7 MQ = 2.5 then Find QP.

How many degrees are in one-half of a circle?

The following bar graph shows the results of an annual examination in a secondary school. Choose the correct option for: The pair of classes in which the results of boys and girls are inversely proportional are:

50. Which one is true? (a)2+3i>1+4i (b)5+9i>5+6i (c)3+3i>6+2i (d)none of these