32581 + Interview Questions in Mathematics

1.	If A=[0235], B=⎡⎢⎣345231137⎤⎥⎦, then A + B =
Answer» If $A = [\begin{matrix} 0 & 2 3 & 5 \end{matrix}]$ , $B = ⎡ ⎢ ⎣ \begin{matrix} 3 & 4 & 5 2 & 3 & 1 1 & 3 & 7 \end{matrix} ⎤ ⎥ ⎦$ , then A + B =

Discussion

2.	Question 4 (ii) Choose the correct option. (ii) (1+tanθ+secθ)(1+cotθ−cosecθ) (A) 0 (B) 1 (C) 2 (D) -1
Answer» Question 4 (ii) Choose the correct option. (ii) $(1 + t a n θ + s e c θ) (1 + c o t θ - c o s e c θ)$ (A) 0 (B) 1 (C) 2 (D) -1

Discussion

3.	Question 2 The diameters of front and rear wheels of a tractor are 80 cm and 2m respectively. Find the number of revolutions that rear wheel will make in covering a distance in which the front wheel makes 1400 revolutions.
Answer» Question 2 The diameters of front and rear wheels of a tractor are 80 cm and 2m respectively. Find the number of revolutions that rear wheel will make in covering a distance in which the front wheel makes 1400 revolutions.

Discussion

4.	Find the median for the following frequency distribution. Age in yearsNumber of people1531681710181019520417
Answer» Find the median for the following frequency distribution. $\begin{matrix} A g e i n y e a r s & N u m b e r o f p e o p l e 15 & 3 16 & 8 17 & 10 18 & 10 19 & 5 20 & 4 \end{matrix}$ 17

Discussion

5.	Question 4 A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid.
Answer» Question 4 A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid.

Discussion

6.	Find the value of given expression 2(2√2)(2√5)−(2√3) -3(2√3)(2√5)−(2√2) + (2√5)(2√3)−(2√2)
Answer» Find the value of given expression $\frac{2 (\sqrt[2]{2})}{(\sqrt[2]{5}) - (\sqrt[2]{3})}$ - $\frac{3 (\sqrt[2]{3})}{(\sqrt[2]{5}) - (\sqrt[2]{2})}$ + $\frac{(\sqrt[2]{5})}{(\sqrt[2]{3}) - (\sqrt[2]{2})}$

6.

Find the value of given expression 2(2√2)(2√5)−(2√3) -3(2√3)(2√5)−(2√2) + (2√5)(2√3)−(2√2)

Answer»

Find the value of given expression

$\frac{2 (\sqrt[2]{2})}{(\sqrt[2]{5}) - (\sqrt[2]{3})}$ - $\frac{3 (\sqrt[2]{3})}{(\sqrt[2]{5}) - (\sqrt[2]{2})}$ +
$\frac{(\sqrt[2]{5})}{(\sqrt[2]{3}) - (\sqrt[2]{2})}$

Discussion

7.	The point V(x,y) is first reflected in the X-axis and then reflected in the origin to V'. If V' has coordinates (8,9); find x and y.
Answer» The point V(x,y) is first reflected in the X-axis and then reflected in the origin to V'. If V' has coordinates (8,9); find x and y.

Discussion

8.	A trader buys an unfinished article for Rs. 2400 and spends Rs. 400 on its finishing and marks up the price of the article 16% above its cost price to gain a profit. How much will the customer pay including 25% tax?
Answer» A trader buys an unfinished article for Rs. 2400 and spends Rs. 400 on its finishing and marks up the price of the article 16% above its cost price to gain a profit. How much will the customer pay including 25% tax?

Discussion

9.	If a+b+c=0, then the value of (a+b−c)3+(b+c−a)3+(c+a−b)3 is:
Answer» If $a + b + c = 0$ , then the value of $(a + b - c)^{3} + (b + c - a)^{3} + (c + a - b)^{3}$ is:

Discussion

10.	Every even positive integer is of the form (a) ___ and every positive odd integer is of the form (b) ___.
Answer» Every even positive integer is of the form (a) ___ and every positive odd integer is of the form (b) ___.

Discussion

11.	Question 9 A metallic spherical shell of internal and external diameters 4 cm and 8 cm, respectively is melted and recast into the form of a cone of base diameter 8cm. Find the height of the cone. (A) 12 cm (B) 14 cm (C) 15 cm (D) 18 cm
Answer» Question 9 A metallic spherical shell of internal and external diameters 4 cm and 8 cm, respectively is melted and recast into the form of a cone of base diameter 8cm. Find the height of the cone. (A) 12 cm (B) 14 cm (C) 15 cm (D) 18 cm

Discussion

12.	In the given figure, the point O is situated within the triangle PQR in such a way that ∠POQ=90∘, OP = 6 cm , OQ = 8 cm , If PR = 24 cm & ∠QPR=90∘, then length of QR is ___ .
Answer» In the given figure, the point O is situated within the triangle PQR in such a way that $∠ P O Q = 90^{\circ}$ , OP = 6 cm , OQ = 8 cm , If PR = 24 cm & $∠ Q P R = 90^{\circ}$ , then length of QR is ___ .

12.

In the given figure, the point O is situated within the triangle PQR in such a way that ∠POQ=90∘, OP = 6 cm , OQ = 8 cm , If PR = 24 cm & ∠QPR=90∘, then length of QR is ___ .

Answer»

In the given figure, the point O is situated within the triangle PQR in such a way that $∠ P O Q = 90^{\circ}$ , OP = 6 cm , OQ = 8 cm , If PR = 24 cm & $∠ Q P R = 90^{\circ}$ , then length of QR is ___ .

Discussion

13.	Nidhi goes to a shop to buy a bicycle quoted at Rs 2,000. The rate of sales tax is 12% on it. She asks the shopkeeper for a rebate on the price of the bicycle to such an extent that she has to pay Rs 2,016, inclusive of sales tax. Find the rebate percentage on the price of the bicycle. [3 MARKS]
Answer» Nidhi goes to a shop to buy a bicycle quoted at Rs 2,000. The rate of sales tax is 12 $%$ on it. She asks the shopkeeper for a rebate on the price of the bicycle to such an extent that she has to pay Rs 2,016, inclusive of sales tax. Find the rebate percentage on the price of the bicycle. [3 MARKS]

Discussion

14.	The volume of square pyramid of base edge 5 m and height 12 m is (in cubic centimetres) :
Answer» The volume of square pyramid of base edge 5 m and height 12 m is (in cubic centimetres) :

Discussion

15.	In the given figure triangle ABC is circumscribed by a circle, AB =5 cm, ∠A=30∘,∠C=60∘.The length BC equal is to [sin 60∘=0.86, sin 30∘=0.5]
Answer» In the given figure triangle ABC is circumscribed by a circle, AB =5 cm, $∠ A = 30^{\circ}, ∠ C = 60^{\circ}$ .The length BC equal is to $[s i n 60^{\circ} = 0.86, s i n 30^{\circ} = 0.5]$

15.

In the given figure triangle ABC is circumscribed by a circle, AB =5 cm, ∠A=30∘,∠C=60∘.The length BC equal is to [sin 60∘=0.86, sin 30∘=0.5]

Answer»

In the given figure triangle ABC is circumscribed by a circle, AB =5 cm, $∠ A = 30^{\circ}, ∠ C = 60^{\circ}$ .The length BC equal is to $[s i n 60^{\circ} = 0.86, s i n 30^{\circ} = 0.5]$

Discussion

16.	Amit deposited ₹ 150 per month in a bank for 8 months under the recurring deposit scheme. What will be the maturity value of the deposits , if the rate of interest is 8 % per annum and interest is calculate at the end of every month
Answer» Amit deposited ₹ 150 per month in a bank for 8 months under the recurring deposit scheme. What will be the maturity value of the deposits , if the rate of interest is 8 % per annum and interest is calculate at the end of every month

Discussion

17.	A bag contains 5 red, 4 blue and 3 green balls. One ball is drawn at random. Find the probability that the ball drawn is i) blue ii) not red iii) either red or green iv) black [4 MARKS]
Answer» A bag contains 5 red, 4 blue and 3 green balls. One ball is drawn at random. Find the probability that the ball drawn is i) blue ii) not red iii) either red or green iv) black [4 MARKS]

Discussion

18.	The difference between the outer and inner curved surface area of a hollow right circular cylinder 14 cm long is 88 cm2. If the volume of metal used in making the cylinder is 176 cm3,find the outer and inner diameters of the cylinder.
Answer» The difference between the outer and inner curved surface area of a hollow right circular cylinder 14 cm long is 88 $c m^{2}$ . If the volume of metal used in making the cylinder is 176 $c m^{3}$ ,find the outer and inner diameters of the cylinder.

Discussion

19.	Weight of 60 eggs were recorded as given below: Weight (in grams)75−7980−8485−8990−9495−99100−104105−109Number of eggs4913171232 Calculate their mean weight to the nearest gram.
Answer» Weight of 60 eggs were recorded as given below: $\begin{matrix} Weight (in grams) & 75 - 79 & 80 - 84 & 85 - 89 & 90 - 94 & 95 - 99 & 100 - 104 & 105 - 109 Number of eggs & 4 & 9 & 13 & 17 & 12 & 3 & 2 \end{matrix}$ Calculate their mean weight to the nearest gram.

Discussion

20.	The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725, find the other.
Answer» The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725, find the other.

Discussion

21.	A hollow sphere of internal and external radii 2 cm and 4 cm respetctively is melted into a cone of base radius 4 cm. Find the height and slant height of the cone.
Answer» A hollow sphere of internal and external radii 2 cm and 4 cm respetctively is melted into a cone of base radius 4 cm. Find the height and slant height of the cone.

Discussion

22.	A point P(3,−2) is reflected in the origin as P′. Point Q(−7,1) is reflected in the x- axis as Q′. Write down the co-ordinates of P′ and Q′.
Answer» A point $P (3, - 2)$ is reflected in the origin as $P^{'}$ . Point $Q (- 7, 1)$ is reflected in the x- axis as $Q^{'}$ . Write down the co-ordinates of $P^{'}$ and $Q^{'}$ .

Discussion

23.	If (0, -3) and (0, 3) are the two vertices of an equilateral triangle, find the coordinates of its third vertex.
Answer» If (0, -3) and (0, 3) are the two vertices of an equilateral triangle, find the coordinates of its third vertex.

Discussion

24.	Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively are melted to form a single solid sphere. Find the radius of the resulting sphere.
Answer» Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively are melted to form a single solid sphere. Find the radius of the resulting sphere.

Discussion

25.	If 3+√52√5+3=a+b√5, then the values of irrational numbers a and b are
Answer» If $\frac{3 + \sqrt{5}}{2 \sqrt{5} + 3} = a + b \sqrt{5}$ , then the values of irrational numbers a and b are

Discussion

26.	Two different dice are tossed together. Find he probability that (i) the number on each die is even, (ii) the sum of the numbers appearing on the two dice is 5.
Answer» Two different dice are tossed together. Find he probability that (i) the number on each die is even, (ii) the sum of the numbers appearing on the two dice is 5.

Discussion

27.	Sum of digit of two number is 8. The digit in tens place is thrice the digit in unit place in unit place. Find the numbers?
Answer» Sum of digit of two number is 8. The digit in tens place is thrice the digit in unit place in unit place. Find the numbers?

Discussion

28.	The volume of a rectangular block of stone is 10368 dm3. If its length, breadth, and height are in the ratio 3 : 2 : 1, then its length, breadth, and height are
Answer» The volume of a rectangular block of stone is 10368 $d m^{3}$ . If its length, breadth, and height are in the ratio 3 : 2 : 1, then its length, breadth, and height are

Discussion

29.	A hemispherical bowl is made of steel, 0.25 cm thick.The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl. [Assume π=227]
Answer» A hemispherical bowl is made of steel, 0.25 cm thick.The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl. $[A s s u m e π = \frac{22}{7}]$

Discussion

30.	(a) Prove that: (1+tan A)2+(1−tan A)2=2 sec2 A (b) If sin (A + B) = 1 and cos (A - B) = 1, find the values of A and B. Given 0≤90∘ and A≥B [6 MARKS]
Answer» (a) Prove that: $(1 + t a n A)^{2} + (1 - t a n A)^{2} = 2 s e c^{2} A$ (b) If sin (A + B) = 1 and cos (A - B) = 1, find the values of A and B. Given $0 \leq 90^{\circ}$ and $A \geq B$ [6 MARKS]

Discussion

31.	The period after which the principal changes is called __ period.
Answer» The period after which the principal changes is called __ period.

Discussion

32.	Divide 16 into two parts such that twice the square of the larger part exceeds the square of the smaller part by 164.
Answer» Divide 16 into two parts such that twice the square of the larger part exceeds the square of the smaller part by 164.

Discussion

33.	If (x+a) is a factor of the polynomial 2x2+2ax+5x+10, find the value of a.
Answer» If (x+a) is a factor of the polynomial $2 x^{2} + 2 a x + 5 x + 10$ , find the value of a.

Discussion

34.	Question 2 (ii) Choose the correct option and justify your choice. (ii) 1−tan24501+tan2450= (A) tan90∘ (B) 1 (C) sin45∘ (D) 0
Answer» Question 2 (ii) Choose the correct option and justify your choice. (ii) $\frac{1 - t a n^{2} 45^{0}}{1 + t a n^{2} 45^{0}} =$ (A) $t a n 90^{\circ}$ (B) 1 (C) $s i n 45^{\circ}$ (D) 0

Discussion

35.	Find the set of solution in log12(x2−6x+12)≥−2
Answer» Find the set of solution in ${log}_{\frac{1}{2}} (x^{2} - 6 x + 12) \geq - 2$

Discussion

36.	How many tangents can be drawn from a point which lies on a circle ?
Answer» How many tangents can be drawn from a point which lies on a circle ?

Discussion

37.	How many aces are present in a deck of cards?
Answer» How many aces are present in a deck of cards?

Discussion

38.	Question 8 A vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff of height "h" units. At a point on the plane, the angles of elevation of the bottom and the top of the flagstaff are α and β respectively. Prove that the height of the tower is (h tan αtan β−tan α).
Answer» Question 8 A vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff of height "h" units. At a point on the plane, the angles of elevation of the bottom and the top of the flagstaff are $α$ and $β$ respectively. Prove that the height of the tower is $(\frac{h t a n α}{t a n β - t a n α})$ .

Discussion

39.	A NUMBER CONSISTS OF TWO DIGITS IN WHICH THE TENS DIGIT EXCEEDS THE UNITS DIGIT BY 6. THE NUMBER ITSELF IS EQUAL TO TEN TIMES THE SUM OF DIGITES. FIND THE NUMBER
Answer» A NUMBER CONSISTS OF TWO DIGITS IN WHICH THE TENS DIGIT EXCEEDS THE UNITS DIGIT BY 6. THE NUMBER ITSELF IS EQUAL TO TEN TIMES THE SUM OF DIGITES. FIND THE NUMBER

Discussion

40.	Check whether 15^n can end with the digit zero for any natural number n.
Answer» Check whether 15^n can end with the digit zero for any natural number n.

Discussion

41.	If α,β be the real roots of the equation x2+ax+1=0.Then the minimum value of α2+β2 is
Answer» If $α, β$ be the real roots of the equation $x^{2} + a x + 1 = 0$ .Then the minimum value of $α^{2} + β^{2}$ is

Discussion

42.	If the probability of winning a game is 0.995, then the probability of losing is
Answer» If the probability of winning a game is 0.995, then the probability of losing is

Discussion

43.	The volume of a hemisphere of radius r is ______ .
Answer» The volume of a hemisphere of radius r is ______ .

Discussion

44.	Find the value of k for which the following system of equations has a unique solution: (5-8) kx + 2y = 5 3x + y = 1
Answer» Find the value of k for which the following system of equations has a unique solution: (5-8) kx + 2y = 5 3x + y = 1

44.

Find the value of k for which the following system of equations has a unique solution: (5-8) kx + 2y = 5 3x + y = 1

Answer»

Find the value of k for which the following system of equations has a unique solution: (5-8)

kx + 2y = 5

3x + y = 1

Discussion

45.	Find the mean of the following frequency distribution: Variables(xi)1030507089Frequency(fi)78101510
Answer» Find the mean of the following frequency distribution: $\begin{matrix} Variables (x_{i}) & 10 & 30 & 50 & 70 & 89 Frequency (f_{i}) & 7 & 8 & 10 & 15 & 10 \end{matrix}$

Discussion

46.	(i) the sum fo the first n terms of an AP is (5n22+3n2). Find hte nth term and the 20th term of this AP. (ii) The sum of the first n terms of an AP is (3n22+5n2). Find its nth term and the 25th term.
Answer» (i) the sum fo the first n terms of an AP is $(\frac{5 n^{2}}{2} + \frac{3 n}{2})$ . Find hte nth term and the 20th term of this AP. (ii) The sum of the first n terms of an AP is $(\frac{3 n^{2}}{2} + \frac{5 n}{2})$ . Find its nth term and the 25th term.

Discussion

47.	Let A = [1625], B = [3449] then find sum of diagonal elements of A + B.18
Answer» Let A = $[\begin{matrix} 1 & 6 2 & 5 \end{matrix}]$ , B = $[\begin{matrix} 3 & 4 4 & 9 \end{matrix}]$ then find sum of diagonal elements of A + B. 18

Discussion

48.	If B ∝ C then :
Answer» If B ∝ C then :

Discussion

49.	Find the frequency of 40 in the following given set of data. 10, 40, 80,100, 60, 40, 30, 40, 20, 40,10, 30,100, 80, 60, 30, 20,100.
Answer» Find the frequency of 40 in the following given set of data. 10, 40, 80,100, 60, 40, 30, 40, 20, 40,10, 30,100, 80, 60, 30, 20,100.

49.

Find the frequency of 40 in the following given set of data. 10, 40, 80,100, 60, 40, 30, 40, 20, 40,10, 30,100, 80, 60, 30, 20,100.

Answer»

Find the frequency of 40 in the following given set of data.

10, 40, 80,100, 60, 40, 30, 40, 20, 40,10, 30,100, 80, 60, 30, 20,100.

Discussion

50.	Question 150 In the given parallelogram YOUR, ∠RUO=120∘ and OY is extended to point S, such that ∠SRY=50∘. Find ∠YSR.
Answer» Question 150 In the given parallelogram YOUR, $∠ R U O = 120^{\circ}$ and OY is extended to point S, such that $∠ S R Y = 50^{\circ}$ . Find $∠ Y S R$ .

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If A=[0235], B=⎡⎢⎣345231137⎤⎥⎦, then A + B =

Question 4 (ii) Choose the correct option. (ii) (1+tanθ+secθ)(1+cotθ−cosecθ) (A) 0 (B) 1 (C) 2 (D) -1

Question 2 The diameters of front and rear wheels of a tractor are 80 cm and 2m respectively. Find the number of revolutions that rear wheel will make in covering a distance in which the front wheel makes 1400 revolutions.

Find the median for the following frequency distribution. Age in yearsNumber of people1531681710181019520417

Question 4 A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid.

Find the value of given expression 2(2√2)(2√5)−(2√3) -3(2√3)(2√5)−(2√2) + (2√5)(2√3)−(2√2)

The point V(x,y) is first reflected in the X-axis and then reflected in the origin to V'. If V' has coordinates (8,9); find x and y.

A trader buys an unfinished article for Rs. 2400 and spends Rs. 400 on its finishing and marks up the price of the article 16% above its cost price to gain a profit. How much will the customer pay including 25% tax?

If a+b+c=0, then the value of (a+b−c)3+(b+c−a)3+(c+a−b)3 is:

Every even positive integer is of the form (a) ___ and every positive odd integer is of the form (b) ___.

Question 9 A metallic spherical shell of internal and external diameters 4 cm and 8 cm, respectively is melted and recast into the form of a cone of base diameter 8cm. Find the height of the cone. (A) 12 cm (B) 14 cm (C) 15 cm (D) 18 cm

In the given figure, the point O is situated within the triangle PQR in such a way that ∠POQ=90∘, OP = 6 cm , OQ = 8 cm , If PR = 24 cm &amp; ∠QPR=90∘, then length of QR is ___ .

Nidhi goes to a shop to buy a bicycle quoted at Rs 2,000. The rate of sales tax is 12% on it. She asks the shopkeeper for a rebate on the price of the bicycle to such an extent that she has to pay Rs 2,016, inclusive of sales tax. Find the rebate percentage on the price of the bicycle. [3 MARKS]

The volume of square pyramid of base edge 5 m and height 12 m is (in cubic centimetres) :

In the given figure triangle ABC is circumscribed by a circle, AB =5 cm, ∠A=30∘,∠C=60∘.The length BC equal is to [sin 60∘=0.86, sin 30∘=0.5]

Amit deposited ₹ 150 per month in a bank for 8 months under the recurring deposit scheme. What will be the maturity value of the deposits , if the rate of interest is 8 % per annum and interest is calculate at the end of every month

A bag contains 5 red, 4 blue and 3 green balls. One ball is drawn at random. Find the probability that the ball drawn is i) blue ii) not red iii) either red or green iv) black [4 MARKS]

The difference between the outer and inner curved surface area of a hollow right circular cylinder 14 cm long is 88 cm2. If the volume of metal used in making the cylinder is 176 cm3,find the outer and inner diameters of the cylinder.

Weight of 60 eggs were recorded as given below: Weight (in grams)75−7980−8485−8990−9495−99100−104105−109Number of eggs4913171232 Calculate their mean weight to the nearest gram.

The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725, find the other.

A hollow sphere of internal and external radii 2 cm and 4 cm respetctively is melted into a cone of base radius 4 cm. Find the height and slant height of the cone.

A point P(3,−2) is reflected in the origin as P′. Point Q(−7,1) is reflected in the x- axis as Q′. Write down the co-ordinates of P′ and Q′.

If (0, -3) and (0, 3) are the two vertices of an equilateral triangle, find the coordinates of its third vertex.

Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively are melted to form a single solid sphere. Find the radius of the resulting sphere.

If 3+√52√5+3=a+b√5, then the values of irrational numbers a and b are

Two different dice are tossed together. Find he probability that (i) the number on each die is even, (ii) the sum of the numbers appearing on the two dice is 5.

Sum of digit of two number is 8. The digit in tens place is thrice the digit in unit place in unit place. Find the numbers?

The volume of a rectangular block of stone is 10368 dm3. If its length, breadth, and height are in the ratio 3 : 2 : 1, then its length, breadth, and height are

A hemispherical bowl is made of steel, 0.25 cm thick.The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl. [Assume π=227]

(a) Prove that: (1+tan A)2+(1−tan A)2=2 sec2 A (b) If sin (A + B) = 1 and cos (A - B) = 1, find the values of A and B. Given 0≤90∘ and A≥B [6 MARKS]

The period after which the principal changes is called __ period.

Divide 16 into two parts such that twice the square of the larger part exceeds the square of the smaller part by 164.

If (x+a) is a factor of the polynomial 2x2+2ax+5x+10, find the value of a.

Question 2 (ii) Choose the correct option and justify your choice. (ii) 1−tan24501+tan2450= (A) tan90∘ (B) 1 (C) sin45∘ (D) 0

Find the set of solution in log12(x2−6x+12)≥−2

How many tangents can be drawn from a point which lies on a circle ?

How many aces are present in a deck of cards?

A NUMBER CONSISTS OF TWO DIGITS IN WHICH THE TENS DIGIT EXCEEDS THE UNITS DIGIT BY 6. THE NUMBER ITSELF IS EQUAL TO TEN TIMES THE SUM OF DIGITES. FIND THE NUMBER

Check whether 15^n can end with the digit zero for any natural number n.

If α,β be the real roots of the equation x2+ax+1=0.Then the minimum value of α2+β2 is

If the probability of winning a game is 0.995, then the probability of losing is

The volume of a hemisphere of radius r is ______ .

Find the value of k for which the following system of equations has a unique solution: (5-8) kx + 2y = 5 3x + y = 1

Find the mean of the following frequency distribution: Variables(xi)1030507089Frequency(fi)78101510

(i) the sum fo the first n terms of an AP is (5n22+3n2). Find hte nth term and the 20th term of this AP. (ii) The sum of the first n terms of an AP is (3n22+5n2). Find its nth term and the 25th term.

Let A = [1625], B = [3449] then find sum of diagonal elements of A + B.18

If B ∝ C then :

Find the frequency of 40 in the following given set of data. 10, 40, 80,100, 60, 40, 30, 40, 20, 40,10, 30,100, 80, 60, 30, 20,100.

Question 150 In the given parallelogram YOUR, ∠RUO=120∘ and OY is extended to point S, such that ∠SRY=50∘. Find ∠YSR.

Every even positive integer is of the form (a) _ and every positive odd integer is of the form (b) _.

In the given figure, the point O is situated within the triangle PQR in such a way that ∠POQ=90∘, OP = 6 cm , OQ = 8 cm , If PR = 24 cm & ∠QPR=90∘, then length of QR is ___ .