32581 + Interview Questions in Mathematics

1.	State, True or False : (i) x<−y ⇒ −x>y (ii) −5x≥15 ⇒ x≤−3 (iii) 2x≤−7 ⇒ 2x−4≥−7−4 (iv) 7>5 ⇒ 17<15
Answer» State, True or False : (i) $x < - y \Rightarrow - x > y$ (ii) $- 5 x \geq 15 \Rightarrow x \leq - 3$ (iii) $2 x \leq - 7 \Rightarrow \frac{2 x}{- 4} \geq \frac{- 7}{- 4}$ (iv) $7 > 5 \Rightarrow \frac{1}{7} < \frac{1}{5}$

1.

State, True or False : (i) x<−y ⇒ −x>y (ii) −5x≥15 ⇒ x≤−3 (iii) 2x≤−7 ⇒ 2x−4≥−7−4 (iv) 7>5 ⇒ 17<15

Answer»

State, True or False :

(i) $x < - y \Rightarrow - x > y$

(ii) $- 5 x \geq 15 \Rightarrow x \leq - 3$

(iii) $2 x \leq - 7 \Rightarrow \frac{2 x}{- 4} \geq \frac{- 7}{- 4}$

(iv) $7 > 5 \Rightarrow \frac{1}{7} < \frac{1}{5}$

Discussion

2.	Find the nth term of each of the following APs: (i) 5,11,17,23,.. (ii) 16,9,2,-5,...
Answer» Find the nth term of each of the following APs: (i) 5,11,17,23,.. (ii) 16,9,2,-5,...

Discussion

3.	A cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions 20 m×16 m, find the area of the field in which the cow can graze.
Answer» A cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions $20 m \times 16 m$ , find the area of the field in which the cow can graze.

Discussion

4.	When two digit number is divided by the sum of its digits the quotient is 8. If the ten's digit is diminished by three times the unit's digit the remainder is 1. What is the no.?
Answer» When two digit number is divided by the sum of its digits the quotient is 8. If the ten's digit is diminished by three times the unit's digit the remainder is 1. What is the no.?

Discussion

5.	If the median of the following data is 32.5, find the missing frequencies.Class Interval:0−1010−2020−3030−4040−5050−6060−70TotalFrequency:f15912f23240
Answer» If the median of the following data is $32.5,$ find the missing frequencies. $\begin{matrix} Class Interval : & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 & Total Frequency: & f_{1} & 5 & 9 & 12 & f_{2} & 3 & 2 & 40 \end{matrix}$

Discussion

6.	the sum of first 10 whole numbers and ten highest negative integers be x. find the value of x
Answer» the sum of first 10 whole numbers and ten highest negative integers be x. find the value of x

Discussion

7.	If Q(0,1) is equidistant from P(5,-3) and R(x,6), find the values of x. Also find the distances QR and PR.
Answer» If Q(0,1) is equidistant from P(5,-3) and R(x,6), find the values of x. Also find the distances QR and PR.

Discussion

8.	Reena goes to purchase a motorcycle which is priced at Rs 35, 640 including 10% as sales tax. However, the actual rate of sales tax at the time of purchase is 7%. Find the extra profit made by the shopkeeper if he still charges the original listed price. [4 MARKS]
Answer» Reena goes to purchase a motorcycle which is priced at Rs 35, 640 including $10 %$ as sales tax. However, the actual rate of sales tax at the time of purchase is $7 %$ . Find the extra profit made by the shopkeeper if he still charges the original listed price. [4 MARKS]

Discussion

9.	if x raise to 4 + 1 = 1297 raise to 4 minus 1 equals 2400. Then find for Y square - x square
Answer» if x raise to 4 + 1 = 1297 raise to 4 minus 1 equals 2400. Then find for Y square - x square

Discussion

10.	Manish opens a Recurring Deposit Account with the Bank of Rajasthan and deposits Rs 600 per month for 20 months. Calculate the maturity value of this account, if the bank pays interest at the rate of 10 %
Answer» Manish opens a Recurring Deposit Account with the Bank of Rajasthan and deposits Rs 600 per month for 20 months. Calculate the maturity value of this account, if the bank pays interest at the rate of 10 %

Discussion

11.	The factors of a2+b−ab−a are __________
Answer» The factors of $a^{2} + b - a b - a$ are __________

Discussion

12.	the Alpha is the measure of an acute angle and 3 sin alpha equals to 2 cos alpha prove that (1- tan2 alpha/1+tan2 alpha)2 +(2 tan alpha/1+tan2alpha)2 equal to 1.
Answer» the Alpha is the measure of an acute angle and 3 sin alpha equals to 2 cos alpha prove that (1- tan² alpha/1+tan²alpha)²+(2 tan alpha/1+tan²alpha)² equal to 1.

Discussion

13.	A circus artist is climbing a 20m long rope which is tightly stretched and tied from the top of a vertical pole to the ground. If the rope makes an agle of 30∘ with the ground, then the height of the pole is ___ metres.
Answer» A circus artist is climbing a 20m long rope which is tightly stretched and tied from the top of a vertical pole to the ground. If the rope makes an agle of $30^{\circ}$ with the ground, then the height of the pole is ___ metres.

Discussion

14.	The sides of certain triangles are given below. Determine which of them are right triangies. (i) a = 7cm, b=24 an and c=25cm (ii) a =9 cm, b= 16cm and c = 18 cm (iii) a=1.6 cm, b=3.8 cm and c=4 cm (iv) a =8 cm, b = 10cm and c = 6 cm
Answer» The sides of certain triangles are given below. Determine which of them are right triangies. (i) a = 7cm, b=24 an and c=25cm (ii) a =9 cm, b= 16cm and c = 18 cm (iii) a=1.6 cm, b=3.8 cm and c=4 cm (iv) a =8 cm, b = 10cm and c = 6 cm

Discussion

15.	The length of a minute hand of a wall clock is 7 cm. What is the area swept by it in 30 minutes
Answer» The length of a minute hand of a wall clock is 7 cm. What is the area swept by it in 30 minutes

Discussion

16.	199 students were asked how many hours they exercise each week. The following table shows the data : Time(t hours)No. of students0−5125−101510−152315−203020−254025−303530−352535−4020 Find the Median of the data.
Answer» 199 students were asked how many hours they exercise each week. The following table shows the data : $\begin{matrix} Time(t hours) & No. of students 0 - 5 & 12 5 - 10 & 15 10 - 15 & 23 15 - 20 & 30 20 - 25 & 40 25 - 30 & 35 30 - 35 & 25 35 - 40 & 20 \end{matrix}$ Find the Median of the data.

16.

199 students were asked how many hours they exercise each week. The following table shows the data : Time(t hours)No. of students0−5125−101510−152315−203020−254025−303530−352535−4020 Find the Median of the data.

Answer»

199 students were asked how many hours they exercise each week.

The following table shows the data :

$\begin{matrix} Time(t hours) & No. of students 0 - 5 & 12 5 - 10 & 15 10 - 15 & 23 15 - 20 & 30 20 - 25 & 40 25 - 30 & 35 30 - 35 & 25 35 - 40 & 20 \end{matrix}$

Find the Median of the data.

Discussion

17.	A man buys Rs 75 shares at a discount of Rs 15 of a company paying 20% divident. Find : (i) the market value of 120 shares ; (ii) his annual income; (iii) his profit percent.
Answer» A man buys Rs 75 shares at a discount of Rs 15 of a company paying 20% divident. Find : (i) the market value of 120 shares ; (ii) his annual income; (iii) his profit percent.

17.

A man buys Rs 75 shares at a discount of Rs 15 of a company paying 20% divident. Find : (i) the market value of 120 shares ; (ii) his annual income; (iii) his profit percent.

Answer»

A man buys Rs 75 shares at a discount of Rs 15 of a company paying 20% divident. Find :

(i) the market value of 120 shares ;

(ii) his annual income;

(iii) his profit percent.

Discussion

18.	ABCD is a cyclic quadrilateral in a circle with centre O. If angleADC=130o Find ∠BAC
Answer» ABCD is a cyclic quadrilateral in a circle with centre O. If $a n g l e A D C = 130^{o}$ Find $∠ B A C$

18.

ABCD is a cyclic quadrilateral in a circle with centre O. If angleADC=130o Find ∠BAC

Answer»

ABCD is a cyclic quadrilateral in a circle with centre O. If $a n g l e A D C = 130^{o}$ Find $∠ B A C$

Discussion

19.	Amit Kumar invests Rs 36,000 in buying Rs 100 shares at Rs 20 premium. The dividend is 15% per annum. Find: (i) the number of shares he buys (ii) his yearly dividend (iii) the percentage return on his investment. [4 MARKS]
Answer» Amit Kumar invests Rs 36,000 in buying Rs 100 shares at Rs 20 premium. The dividend is $15 %$ per annum. Find: (i) the number of shares he buys (ii) his yearly dividend (iii) the percentage return on his investment. [4 MARKS]

Discussion

20.	If 1 is the zero of the polynomial p(x) = ax² - 3(a - 1) x - 1,then find the value of a.
Answer» If 1 is the zero of the polynomial p(x) = ax² - 3(a - 1) x - 1,then find the value of a.

Discussion

21.	Divide 5x^3-x^2+6 by x-4 . Verify the solution also.
Answer» Divide 5x^3-x^2+6 by x-4 . Verify the solution also.

Discussion

22.	Solve for x: 12x2 + 36a2 = 43ax
Answer» Solve for x: 12 $x^{2}$ + 36 $a^{2}$ = 43ax

22.

Solve for x: 12x2 + 36a2 = 43ax

Answer»

Solve for x:

12 $x^{2}$ + 36 $a^{2}$ = 43ax

Discussion

23.	What is the area of the triangle if one of the vertices of the triangle is (0, 0) and the other two vertices are (2 , 2) and reflection of point (2 , 2) on Y-axis?
Answer» What is the area of the triangle if one of the vertices of the triangle is (0, 0) and the other two vertices are (2 , 2) and reflection of point (2 , 2) on Y-axis?

Discussion

24.	Question 2 To divide a line segment AB in the ratio 4:7 a ray AX is drawn first such that ∠ BAX is an acute angle and then points A1,A2,A3... are located at equal distances on the ray AX and the point B is joined to (A) A12 (B) A11 (C) A10 (D) A9
Answer» Question 2 To divide a line segment AB in the ratio 4:7 a ray AX is drawn first such that $∠$ BAX is an acute angle and then points $A_{1}, A_{2}, A_{3} . . .$ are located at equal distances on the ray AX and the point B is joined to (A) $A_{12}$ (B) $A_{11}$ (C) $A_{10}$ (D) $A_{9}$

Discussion

25.	A chord of a circle of radius 30 cm makes an angle of 60^\circ at the centre of the circle. Find the areas of the minor and major segments. [ Takeπ=3.14and√31.732. ]
Answer» A chord of a circle of radius 30 cm makes an angle of 60^\circ at the centre of the circle. Find the areas of the minor and major segments. [ $T a k e π = 3.14 a n d \sqrt{3} 1.732.$ ]

25.

A chord of a circle of radius 30 cm makes an angle of 60^\circ at the centre of the circle. Find the areas of the minor and major segments. [ Takeπ=3.14and√31.732. ]

Answer»

A chord of a circle of radius 30 cm makes an angle of 60^\circ at the centre of the circle. Find the areas of the minor and major segments.

[ $T a k e π = 3.14 a n d \sqrt{3} 1.732.$ ]

Discussion

26.	50 circular plates each of diameter 14 cm and thickness 0.5 cm are placed one above the other to form a right circular cylinder. Find its total surface area.
Answer» 50 circular plates each of diameter 14 cm and thickness 0.5 cm are placed one above the other to form a right circular cylinder. Find its total surface area.

Discussion

27.	All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well - shuffled and then a card is drawn from it. Find the probability that the drawn card is (i) a black face card, (ii) a red card.
Answer» All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well - shuffled and then a card is drawn from it. Find the probability that the drawn card is (i) a black face card, (ii) a red card.

Discussion

28.	Find the area in cm2 of the yellow region where the square has side measuring 14 cm. __
Answer» Find the area in $c m^{2}$ of the yellow region where the square has side measuring 14 cm. __

28.

Find the area in cm2 of the yellow region where the square has side measuring 14 cm. __

Answer»

Find the area in $c m^{2}$ of the yellow region where the square has side measuring 14 cm.

__

Discussion

29.	Following graph shows monthly expenditure (in ₹) of a family. Find the expenditure in the month of March? In which month, the expenditure was the lowest
Answer» Following graph shows monthly expenditure (in ₹) of a family. Find the expenditure in the month of March? In which month, the expenditure was the lowest

29.

Following graph shows monthly expenditure (in ₹) of a family. Find the expenditure in the month of March? In which month, the expenditure was the lowest

Answer»

Following graph shows monthly expenditure (in ₹) of a family.

Find the expenditure in the month of March? In which month, the expenditure was the lowest

Discussion

30.	The sum of all the 3 sides of a triangle is called__.
Answer» The sum of all the 3 sides of a triangle is called__.

Discussion

31.	The Mean of the first 10 prime numbers is ___.
Answer» The Mean of the first 10 prime numbers is ___.

Discussion

32.	Find the greatest number of 6 digits exactly divisible by 24, 15, 36.
Answer» Find the greatest number of 6 digits exactly divisible by 24, 15, 36.

Discussion

33.	The following table fives the marks obtained by 80 students in a selection test: Find the median
Answer» The following table fives the marks obtained by 80 students in a selection test: Find the median

33.

The following table fives the marks obtained by 80 students in a selection test: Find the median

Answer»

The following table fives the marks obtained by 80 students in a selection test:

Find the median

Discussion

34.	Write a pair of irrational numbers whose product is irrational.
Answer» Write a pair of irrational numbers whose product is irrational.

Discussion

35.	If the Market Value of a share is less than the Nominal Value, the share is said to be at _______.
Answer» If the Market Value of a share is less than the Nominal Value, the share is said to be at _______.

Discussion

36.	Find the sum of all integers between 84 and 719, which are multiple of 5.
Answer» Find the sum of all integers between 84 and 719, which are multiple of 5.

Discussion

37.	Show that any positive odd integer is of the form (6m + 1) or (6m + 3) or (6m + 5), where m is some integer
Answer» Show that any positive odd integer is of the form (6m + 1) or (6m + 3) or (6m + 5), where m is some integer

Discussion

38.	A tank with length, breadth and height of 8, 6 and 4 units respectively is open at the top. Find the cost of painting inside the tank at the rate of ₹10 per sq.units.
Answer» A tank with length, breadth and height of 8, 6 and 4 units respectively is open at the top. Find the cost of painting inside the tank at the rate of ₹10 per sq.units.

Discussion

39.	If 2 is added to the numerator of a fraction,it reduces to (23) and if 1 is subtracted from the denominator,it reduces to (12).Find the fraction.
Answer» If 2 is added to the numerator of a fraction,it reduces to $(\frac{2}{3})$ and if 1 is subtracted from the denominator,it reduces to $(\frac{1}{2})$ .Find the fraction.

Discussion

40.	A building is in the form of a cylinder surmounted by a hemispherical dome.The base diameter of the dome is equal to 23 of the total height of the building.Find the height of the building,if it contains 67121m3 of air.
Answer» A building is in the form of a cylinder surmounted by a hemispherical dome.The base diameter of the dome is equal to $\frac{2}{3}$ of the total height of the building.Find the height of the building,if it contains 67 $\frac{1}{21} m^{3}$ of air.

Discussion

41.	Find the value of the '?' in the given figure iii.
Answer» Find the value of the '?' in the given figure iii.

Discussion

42.	if x′is are the midpoints of the class intervals of a grouped data,f′is are the corresponding frequencies and ¯x is the mean then ∑fi(xi−¯x)=? (a) 1 (b) 0 (c) -1 (d) 2
Answer» $i f x_{i}^{'} s a r e t h e m i d p o i n t s o f t h e c l a s s i n t e r v a l s o f a g r o u p e d d a t a, f_{i}^{'} s a r e t h e c o r r e s p o n d i n g f r e q u e n c i e s a n d ¯ x i s t h e m e a n t h e n \sum f_{i} (x_{i} - ¯ x) = ?$ (a) 1 (b) 0 (c) -1 (d) 2

42.

if x′is are the midpoints of the class intervals of a grouped data,f′is are the corresponding frequencies and ¯x is the mean then ∑fi(xi−¯x)=? (a) 1 (b) 0 (c) -1 (d) 2

Answer»

$i f x_{i}^{'} s a r e t h e m i d p o i n t s o f t h e c l a s s i n t e r v a l s o f a g r o u p e d d a t a, f_{i}^{'} s a r e t h e c o r r e s p o n d i n g f r e q u e n c i e s a n d ¯ x i s t h e m e a n t h e n \sum f_{i} (x_{i} - ¯ x) = ?$

(a) 1 (b) 0 (c) -1 (d) 2

Discussion

43.	Draw a triangle ABC in which AB = 4cm , angle B = 60 and altitude CL = 3cm. Construct a triangle ADE similar to triangle ABC such that each side of triangle ADE is 32 times that of the corresponding side of triangle ABC
Answer» Draw a triangle ABC in which AB = 4cm , angle B = 60 and altitude CL = 3cm. Construct a triangle ADE similar to triangle ABC such that each side of triangle ADE is $\frac{3}{2}$ times that of the corresponding side of triangle ABC

Discussion

44.	For solving each pair of equations, use the method of eliminations by equating coefficients: 41x+53y=135 53x+41y=147
Answer» For solving each pair of equations, use the method of eliminations by equating coefficients: $41 x + 53 y = 135$ $53 x + 41 y = 147$

44.

For solving each pair of equations, use the method of eliminations by equating coefficients: 41x+53y=135 53x+41y=147

Answer»

For solving each pair of equations, use the method of eliminations by equating coefficients:

$41 x + 53 y = 135$

$53 x + 41 y = 147$

Discussion

45.	Question 88 Ayesha announced a festival discount of 25% on all the items in her mobile phone shop. Ramandeep bought a mobile phone for himself. He got a discount of Rs.1960. What was the marked price of the mobile phone?
Answer» Question 88 Ayesha announced a festival discount of 25% on all the items in her mobile phone shop. Ramandeep bought a mobile phone for himself. He got a discount of Rs.1960. What was the marked price of the mobile phone?

45.

Question 88 Ayesha announced a festival discount of 25% on all the items in her mobile phone shop. Ramandeep bought a mobile phone for himself. He got a discount of Rs.1960. What was the marked price of the mobile phone?

Answer»

Question 88

Ayesha announced a festival discount of 25% on all the items in her mobile phone shop. Ramandeep bought a mobile phone for himself. He got a discount of Rs.1960. What was the marked price of the mobile phone?

Discussion

46.	Question 2 (b) Write first five multiples of : 8
Answer» Question 2 (b) Write first five multiples of : 8

46.

Question 2 (b) Write first five multiples of : 8

Answer»

Question 2 (b)

Write first five multiples of :
8

Discussion

47.	If D, E and F are the mid-points of sides BC, CA and AB respectively of a ΔABC, then using coordinate geometry prove that Area of ΔDEF=14(AreaofΔABC)
Answer» If D, E and F are the mid-points of sides BC, CA and AB respectively of a $Δ A B C$ , then using coordinate geometry prove that Area of $Δ D E F = \frac{1}{4} (A r e a o f Δ A B C)$

Discussion

48.	For solving each pair of equations, use the method of eliminations by equating coefficients: 15(x−2)=14(1−y) 26x+3y+4=0
Answer» For solving each pair of equations, use the method of eliminations by equating coefficients: $\frac{1}{5} (x - 2) = \frac{1}{4} (1 - y)$ $26 x + 3 y + 4 = 0$

48.

For solving each pair of equations, use the method of eliminations by equating coefficients: 15(x−2)=14(1−y) 26x+3y+4=0

Answer»

For solving each pair of equations, use the method of eliminations by equating coefficients:

$\frac{1}{5} (x - 2) = \frac{1}{4} (1 - y)$

$26 x + 3 y + 4 = 0$

Discussion

49.	Find the units digit of the expression 11^1 × 12^2 × 13^3 × 14^4 × 15^5 × 16^6 . In some shortcut method please.
Answer» Find the units digit of the expression 11^1 × 12^2 × 13^3 × 14^4 × 15^5 × 16^6 . In some shortcut method please.

49.

Find the units digit of the expression 11^1 × 12^2 × 13^3 × 14^4 × 15^5 × 16^6 . In some shortcut method please.

Answer»

Find the units digit of the expression 11^1 × 12^2 × 13^3 × 14^4 × 15^5 × 16^6 .

In some shortcut method please.

Discussion

50.	what step deviation is?
Answer» what step deviation is?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

State, True or False : (i) x&lt;−y ⇒ −x&gt;y (ii) −5x≥15 ⇒ x≤−3 (iii) 2x≤−7 ⇒ 2x−4≥−7−4 (iv) 7&gt;5 ⇒ 17&lt;15

Find the nth term of each of the following APs: (i) 5,11,17,23,.. (ii) 16,9,2,-5,...

A cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions 20 m×16 m, find the area of the field in which the cow can graze.

When two digit number is divided by the sum of its digits the quotient is 8. If the ten's digit is diminished by three times the unit's digit the remainder is 1. What is the no.?

If the median of the following data is 32.5, find the missing frequencies.Class Interval:0−1010−2020−3030−4040−5050−6060−70TotalFrequency:f15912f23240

the sum of first 10 whole numbers and ten highest negative integers be x. find the value of x

If Q(0,1) is equidistant from P(5,-3) and R(x,6), find the values of x. Also find the distances QR and PR.

Reena goes to purchase a motorcycle which is priced at Rs 35, 640 including 10% as sales tax. However, the actual rate of sales tax at the time of purchase is 7%. Find the extra profit made by the shopkeeper if he still charges the original listed price. [4 MARKS]

if x raise to 4 + 1 = 1297 raise to 4 minus 1 equals 2400. Then find for Y square - x square

Manish opens a Recurring Deposit Account with the Bank of Rajasthan and deposits Rs 600 per month for 20 months. Calculate the maturity value of this account, if the bank pays interest at the rate of 10 %

The factors of a2+b−ab−a are __________

the Alpha is the measure of an acute angle and 3 sin alpha equals to 2 cos alpha prove that (1- tan2 alpha/1+tan2 alpha)2 +(2 tan alpha/1+tan2alpha)2 equal to 1.

A circus artist is climbing a 20m long rope which is tightly stretched and tied from the top of a vertical pole to the ground. If the rope makes an agle of 30∘ with the ground, then the height of the pole is ___ metres.

The sides of certain triangles are given below. Determine which of them are right triangies. (i) a = 7cm, b=24 an and c=25cm (ii) a =9 cm, b= 16cm and c = 18 cm (iii) a=1.6 cm, b=3.8 cm and c=4 cm (iv) a =8 cm, b = 10cm and c = 6 cm

The length of a minute hand of a wall clock is 7 cm. What is the area swept by it in 30 minutes

199 students were asked how many hours they exercise each week. The following table shows the data : Time(t hours)No. of students0−5125−101510−152315−203020−254025−303530−352535−4020 Find the Median of the data.

A man buys Rs 75 shares at a discount of Rs 15 of a company paying 20% divident. Find : (i) the market value of 120 shares ; (ii) his annual income; (iii) his profit percent.

ABCD is a cyclic quadrilateral in a circle with centre O. If angleADC=130o Find ∠BAC

Amit Kumar invests Rs 36,000 in buying Rs 100 shares at Rs 20 premium. The dividend is 15% per annum. Find: (i) the number of shares he buys (ii) his yearly dividend (iii) the percentage return on his investment. [4 MARKS]

If 1 is the zero of the polynomial p(x) = ax² - 3(a - 1) x - 1,then find the value of a.

Divide 5x^3-x^2+6 by x-4 . Verify the solution also.

Solve for x: 12x2 + 36a2 = 43ax

What is the area of the triangle if one of the vertices of the triangle is (0, 0) and the other two vertices are (2 , 2) and reflection of point (2 , 2) on Y-axis?

Question 2 To divide a line segment AB in the ratio 4:7 a ray AX is drawn first such that ∠ BAX is an acute angle and then points A1,A2,A3... are located at equal distances on the ray AX and the point B is joined to (A) A12 (B) A11 (C) A10​​​​​​​ (D) A9​​​​​​​

A chord of a circle of radius 30 cm makes an angle of 60^\circ at the centre of the circle. Find the areas of the minor and major segments. [ Takeπ=3.14and√31.732. ]

50 circular plates each of diameter 14 cm and thickness 0.5 cm are placed one above the other to form a right circular cylinder. Find its total surface area.

All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well - shuffled and then a card is drawn from it. Find the probability that the drawn card is (i) a black face card, (ii) a red card.

Find the area in cm2 of the yellow region where the square has side measuring 14 cm. __

Following graph shows monthly expenditure (in ₹) of a family. Find the expenditure in the month of March? In which month, the expenditure was the lowest

The sum of all the 3 sides of a triangle is called__.

The Mean of the first 10 prime numbers is ___.

Find the greatest number of 6 digits exactly divisible by 24, 15, 36.

The following table fives the marks obtained by 80 students in a selection test: Find the median

Write a pair of irrational numbers whose product is irrational.

If the Market Value of a share is less than the Nominal Value, the share is said to be at _______.

Find the sum of all integers between 84 and 719, which are multiple of 5.

Show that any positive odd integer is of the form (6m + 1) or (6m + 3) or (6m + 5), where m is some integer

A tank with length, breadth and height of 8, 6 and 4 units respectively is open at the top. Find the cost of painting inside the tank at the rate of ₹10 per sq.units.

If 2 is added to the numerator of a fraction,it reduces to (23) and if 1 is subtracted from the denominator,it reduces to (12).Find the fraction.

A building is in the form of a cylinder surmounted by a hemispherical dome.The base diameter of the dome is equal to 23 of the total height of the building.Find the height of the building,if it contains 67121m3 of air.

Find the value of the '?' in the given figure iii.

if x′is are the midpoints of the class intervals of a grouped data,f′is are the corresponding frequencies and ¯x is the mean then ∑fi(xi−¯x)=? (a) 1 (b) 0 (c) -1 (d) 2

Draw a triangle ABC in which AB = 4cm , angle B = 60 and altitude CL = 3cm. Construct a triangle ADE similar to triangle ABC such that each side of triangle ADE is 32 times that of the corresponding side of triangle ABC

For solving each pair of equations, use the method of eliminations by equating coefficients: 41x+53y=135 53x+41y=147

Question 88 Ayesha announced a festival discount of 25% on all the items in her mobile phone shop. Ramandeep bought a mobile phone for himself. He got a discount of Rs.1960. What was the marked price of the mobile phone?

Question 2 (b) Write first five multiples of : 8

If D, E and F are the mid-points of sides BC, CA and AB respectively of a ΔABC, then using coordinate geometry prove that Area of ΔDEF=14(AreaofΔABC)

For solving each pair of equations, use the method of eliminations by equating coefficients: 15(x−2)=14(1−y) 26x+3y+4=0

Find the units digit of the expression 11^1 × 12^2 × 13^3 × 14^4 × 15^5 × 16^6 . In some shortcut method please.

what step deviation is?

State, True or False : (i) x<−y ⇒ −x>y (ii) −5x≥15 ⇒ x≤−3 (iii) 2x≤−7 ⇒ 2x−4≥−7−4 (iv) 7>5 ⇒ 17<15

Question 2 To divide a line segment AB in the ratio 4:7 a ray AX is drawn first such that ∠ BAX is an acute angle and then points A1,A2,A3... are located at equal distances on the ray AX and the point B is joined to (A) A12 (B) A11 (C) A10 (D) A9