32581 + Interview Questions in Mathematics

1.	The angle of elevation of a jet fighter from a point A on the ground is 60°. After 15 seconds, the angle of elevation changes to 30°. If the speed of the jet is 720 km/h, find the height at which it is flying.
Answer» The angle of elevation of a jet fighter from a point A on the ground is 60°. After 15 seconds, the angle of elevation changes to 30°. If the speed of the jet is 720 km/h, find the height at which it is flying.

Discussion

2.	Which of the following represents the volume of a pyramid?
Answer» Which of the following represents the volume of a pyramid?

Discussion

3.	A poor artist on the street makes funny cartoons for children and earns his living. Once he made a comic face by drawing a circle within a circle, the radius of the bigger circle being 30 cm and that of smaller being 20 cm as shown in figure. What is the area of the cap give in this figure? What qualities of this artist are being reflected here?
Answer» A poor artist on the street makes funny cartoons for children and earns his living. Once he made a comic face by drawing a circle within a circle, the radius of the bigger circle being 30 cm and that of smaller being 20 cm as shown in figure. What is the area of the cap give in this figure? What qualities of this artist are being reflected here?

Discussion

4.	Which of the following taxes form the part of Consolidated Fund of India? 1) Terminal taxes on goods or passengers carried by railway, sea or air; 2) Taxes on railway fares and freights; 3) Taxes other than stamp duties on transactions in stock exchanges and futures markets; 4) Taxes on the sale or purchase of newspapers and on advertisements published therein; Select the correct answer using the code given below.
Answer» Which of the following taxes form the part of Consolidated Fund of India? 1) Terminal taxes on goods or passengers carried by railway, sea or air; 2) Taxes on railway fares and freights; 3) Taxes other than stamp duties on transactions in stock exchanges and futures markets; 4) Taxes on the sale or purchase of newspapers and on advertisements published therein; Select the correct answer using the code given below.

4.

Which of the following taxes form the part of Consolidated Fund of India? 1) Terminal taxes on goods or passengers carried by railway, sea or air; 2) Taxes on railway fares and freights; 3) Taxes other than stamp duties on transactions in stock exchanges and futures markets; 4) Taxes on the sale or purchase of newspapers and on advertisements published therein; Select the correct answer using the code given below.

Answer»

Which of the following taxes form the part of Consolidated Fund of India?

1) Terminal taxes on goods or passengers carried by railway, sea or air;

2) Taxes on railway fares and freights;

3) Taxes other than stamp duties on transactions in stock exchanges and futures markets;

4) Taxes on the sale or purchase of newspapers and on advertisements published therein;

Select the correct answer using the code given below.

Discussion

5.	If A=[abcd] (where bc≠0) satisfies the equation x2+k=0, then
Answer» $I f A = [\begin{matrix} a & b c & d \end{matrix}] (w h e r e b c \neq 0) s a t i s f i e s t h e e q u a t i o n x^{2} + k = 0, t h e n$

Discussion

6.	Rajesh bought an article of Rs. 374, which include a discount of 15% on the marked price and a sales tax of 10% on the reduced price. Find the marked price on the article.
Answer» Rajesh bought an article of Rs. 374, which include a discount of 15% on the marked price and a sales tax of 10% on the reduced price. Find the marked price on the article.

Discussion

7.	Which term of the progression 20,1914,1812,1734...... is the first negative term?
Answer» Which term of the progression $20, 19 \frac{1}{4}, 18 \frac{1}{2}, 17 \frac{3}{4} . . . . . .$ is the first negative term?

Discussion

8.	(2 + √5) (2 + √5) expression is :
Answer» (2 + √5) (2 + √5) expression is :

Discussion

9.	If A+B=90∘, then tan A tan B+tan A cot Bsin Asec B−sin2Acos2B=1cos2A−X.Find X
Answer» If $A + B = 90^{\circ}$ , then $\frac{t a n A t a n B + t a n A c o t B}{s i n A s e c B} - \frac{s i n^{2} A}{c o s^{2} B} = \frac{1}{c o s^{2} A} - X$ .Find X

9.

If A+B=90∘, then tan A tan B+tan A cot Bsin Asec B−sin2Acos2B=1cos2A−X.Find X

Answer»

If $A + B = 90^{\circ}$ , then
$\frac{t a n A t a n B + t a n A c o t B}{s i n A s e c B} - \frac{s i n^{2} A}{c o s^{2} B} = \frac{1}{c o s^{2} A} - X$ .Find X

Discussion

10.	A man buys a ₹ 10 share in a company at a premium of ₹ 2 which pays 9 % dividend. Find the rate of interest on his investment ?
Answer» A man buys a ₹ 10 share in a company at a premium of ₹ 2 which pays 9 % dividend. Find the rate of interest on his investment ?

Discussion

11.	If t is the time required for a radioactive substance to reduce to one third of its initial amount, what fraction would be left over after0.5 t
Answer» If t is the time required for a radioactive substance to reduce to one third of its initial amount, what fraction would be left over after0.5 t

Discussion

12.	A model aeroplane is tethered to a post and held by a fine line. It flies in a horizontal circle. Then the line breaks. What direction will it fly in?
Answer» A model aeroplane is tethered to a post and held by a fine line. It flies in a horizontal circle. Then the line breaks. What direction will it fly in?

Discussion

13.	In the figure, O is the center of the circle & AB is the Tangent to it at point B. ∠BDC = 65o. Find ∠BAO.
Answer» In the figure, O is the center of the circle & AB is the Tangent to it at point B. ∠BDC = 65^o. Find ∠BAO.

13.

In the figure, O is the center of the circle & AB is the Tangent to it at point B. ∠BDC = 65o. Find ∠BAO.

Answer»

In the figure, O is the center of the circle & AB is the Tangent to it at point B. ∠BDC = 65^o. Find ∠BAO.

Discussion

14.	The H.C.F. of x2+2x−8, x3−4x2+4x and x2−4 is .
Answer» The H.C.F. of $x^{2} + 2 x - 8, x^{3} - 4 x^{2} + 4 x$ and $x^{2} - 4$ is .

Discussion

15.	In the given figure, O is the centre of the circle, and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm, the area of shaded portion will be
Answer» In the given figure, O is the centre of the circle, and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm, the area of shaded portion will be

15.

In the given figure, O is the centre of the circle, and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm, the area of shaded portion will be

Answer»

In the given figure, O is the centre of the circle, and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm, the area of shaded portion will be

Discussion

16.	The positive value of k, for which both equations: x2 + kx + 64 = 0 and x2 - 8x + k = 0 have real roots is________
Answer» The positive value of k, for which both equations: x² + kx + 64 = 0 and x² - 8x + k = 0 have real roots is________

Discussion

17.	If a + b+ c = 5 , 3a + 2b + c = 7, 9a + 3b + c = 13 Find the value of a, b and c.
Answer» If a + b+ c = 5 , 3a + 2b + c = 7, 9a + 3b + c = 13 Find the value of a, b and c.

Discussion

18.	If the 4th, 7th and 10th terms of a G.P. be a, b, c respectively, then the relation between a, b, c is
Answer» If the $4^{t h}$ , $7^{t h}$ and $10^{t h}$ terms of a G.P. be a, b, c respectively, then the relation between a, b, c is

Discussion

19.	If cos x = cos 60o cos 30o + sin 60o sin 30o, then the value of x is
Answer» If cos x = cos 60^o cos 30^o + sin 60^o sin 30^o, then the value of x is

Discussion

20.	The value of the expression 2log 3−12log 16+log 12 is equal to ___
Answer» The value of the expression $2 l o g 3 - \frac{1}{2} l o g 16 + l o g 12$ is equal to ___

Discussion

21.	The table below shows the workers in a factory sorted according to their daily wages : Daily wages (Rs)No. workers40035004600570078006900310004 Calculate the Median.
Answer» The table below shows the workers in a factory sorted according to their daily wages : $\begin{matrix} Daily wages (Rs) & No. workers 400 & 3 500 & 4 600 & 5 700 & 7 800 & 6 900 & 3 1000 & 4 \end{matrix}$ Calculate the Median.

21.

The table below shows the workers in a factory sorted according to their daily wages : Daily wages (Rs)No. workers40035004600570078006900310004 Calculate the Median.

Answer»

The table below shows the workers in a factory sorted according to their daily wages :

$\begin{matrix} Daily wages (Rs) & No. workers 400 & 3 500 & 4 600 & 5 700 & 7 800 & 6 900 & 3 1000 & 4 \end{matrix}$

Calculate the Median.

Discussion

22.	What are the taxes that existed before GST?
Answer» What are the taxes that existed before GST?

Discussion

23.	If a+b+c=0,then(1b2+c2−a2)+(1c2+a2−b2)+(1a2+b2−c2) is equal to :
Answer» If $a + b + c = 0, t h e n (\frac{1}{b^{2} + c^{2} - a^{2}}) + (\frac{1}{c^{2} + a^{2} - b^{2}}) + (\frac{1}{a^{2} + b^{2} - c^{2}})$ is equal to :

Discussion

24.	The length of the diagonal AC of a rhombus ABCD is 20 cm and one of its angle measures 120∘, then the length of the other diagonal BD is
Answer» The length of the diagonal AC of a rhombus ABCD is 20 cm and one of its angle measures $120^{\circ},$ then the length of the other diagonal BD is

Discussion

25.	In ΔABC,∠A is obtuse, PB⊥AC and QC⊥AB prove that: (i) AB×AQ=AC×AP (ii) BC2=(AC×CP+AB×BQ)
Answer» In $Δ A B C, ∠ A$ is obtuse, $P B ⊥ A C$ and $Q C ⊥ A B$ prove that: (i) $A B \times A Q = A C \times A P$ (ii) $B C^{2} = (A C \times C P + A B \times B Q)$

Discussion

26.	x2>−1+3x4;x ∈ N
Answer» $\frac{x}{2} > - 1 + \frac{3 x}{4}; x \in N$

Discussion

27.	A rectangular ground 80 m × 50 m has a path 1m wide outside around it. The area of the path is (a) 264 m2 (b) 284 m2 (c) 400 m2 (d) 464 m2
Answer» A rectangular ground 80 m $\times$ 50 m has a path 1m wide outside around it. The area of the path is (a) 264 $m^{2}$ (b) 284 $m^{2}$ (c) 400 $m^{2}$ (d) 464 $m^{2}$

27.

A rectangular ground 80 m × 50 m has a path 1m wide outside around it. The area of the path is (a) 264 m2 (b) 284 m2 (c) 400 m2 (d) 464 m2

Answer»

A rectangular ground 80 m $\times$ 50 m has a path 1m wide outside around it. The area of the path is

(a) 264 $m^{2}$ (b) 284 $m^{2}$ (c) 400 $m^{2}$ (d) 464 $m^{2}$

Discussion

28.	IF (3y-1), (3y + 5) and (5y + 1) are three consecutive terms of an AP then find the value of y .
Answer» IF (3y-1), (3y + 5) and (5y + 1) are three consecutive terms of an AP then find the value of y .

Discussion

29.	If the area of an equilateral triangle is 36 √3 cm2, find its perimeter
Answer» If the area of an equilateral triangle is 36 $\sqrt{3} c m^{2}$ , find its perimeter

Discussion

30.	Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code: (a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A). (b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A). (c) Assertion (A) is true and Reason (R) is false. (d) Assertion (A) is false and Reason (R) is true. Assertion (A) Reason (R)The number of coins 1.75 cm inVolume of a cylinder of basediameter and 2 mm thick from aradius r and height h is given bymelted cuboid (10 cm×5.5 cm×V=(π r2h) cubic units.3.5 cm) is 400.And, volume of a cuboid =(l×b×h) cubic units. The correct answer is (a) / (b) / (c) / (d).
Answer» Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code: (a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A). (b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A). (c) Assertion (A) is true and Reason (R) is false. (d) Assertion (A) is false and Reason (R) is true. $\begin{matrix} A s s e r t i o n (A) & R e a s o n (R) T h e n u m b e r o f c o i n s 1.75 c m i n & V o l u m e o f a c y l i n d e r o f b a s e d i a m e t e r a n d 2 m m t h i c k f r o m a & r a d i u s r a n d h e i g h t h i s g i v e n b y m e l t e d c u b o i d (10 c m \times 5.5 c m \times & V = (π r^{2} h) c u b i c u n i t s . 3.5 c m) i s 400. & A n d, v o l u m e o f a c u b o i d = (l \times b \times h) c u b i c u n i t s . \end{matrix}$ The correct answer is (a) / (b) / (c) / (d).

30.

Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code: (a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A). (b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A). (c) Assertion (A) is true and Reason (R) is false. (d) Assertion (A) is false and Reason (R) is true. Assertion (A) Reason (R)The number of coins 1.75 cm inVolume of a cylinder of basediameter and 2 mm thick from aradius r and height h is given bymelted cuboid (10 cm×5.5 cm×V=(π r2h) cubic units.3.5 cm) is 400.And, volume of a cuboid =(l×b×h) cubic units. The correct answer is (a) / (b) / (c) / (d).

Answer»

Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

(c) Assertion (A) is true and Reason (R) is false.

(d) Assertion (A) is false and Reason (R) is true.

$\begin{matrix} A s s e r t i o n (A) & R e a s o n (R) T h e n u m b e r o f c o i n s 1.75 c m i n & V o l u m e o f a c y l i n d e r o f b a s e d i a m e t e r a n d 2 m m t h i c k f r o m a & r a d i u s r a n d h e i g h t h i s g i v e n b y m e l t e d c u b o i d (10 c m \times 5.5 c m \times & V = (π r^{2} h) c u b i c u n i t s . 3.5 c m) i s 400. & A n d, v o l u m e o f a c u b o i d = (l \times b \times h) c u b i c u n i t s . \end{matrix}$

The correct answer is (a) / (b) / (c) / (d).

Discussion

31.	If 45, a, 2 are in AP, find the value fo a.
Answer» If $\frac{4}{5}$ , a, 2 are in AP, find the value fo a.

Discussion

32.	The area of a square field is 0.5 hectare. The length of its diagonal is (a) 150m (b) 100√2m (b) 100m (b) 50√2m
Answer» The area of a square field is $0.5$ hectare. The length of its diagonal is (a) $150 m$ (b) $100 \sqrt{2} m$ (b) $100 m$ (b) $50 \sqrt{2} m$

32.

The area of a square field is 0.5 hectare. The length of its diagonal is (a) 150m (b) 100√2m (b) 100m (b) 50√2m

Answer»

The area of a square field is $0.5$ hectare. The length of its diagonal is

(a) $150 m$ (b) $100 \sqrt{2} m$ (b) $100 m$ (b) $50 \sqrt{2} m$

Discussion

33.	Find the least number which when divided by 36, 56 and 91 leaves the same remainder 7 in each case.
Answer» Find the least number which when divided by 36, 56 and 91 leaves the same remainder 7 in each case.

Discussion

34.	Solve the following systems of equations: 0.5x+0.7y=0.74 0.3x+0.5y=0.5
Answer» Solve the following systems of equations: $0.5 x + 0.7 y = 0.74$ $0.3 x + 0.5 y = 0.5$

34.

Solve the following systems of equations: 0.5x+0.7y=0.74 0.3x+0.5y=0.5

Answer»

Solve the following systems of equations:

$0.5 x + 0.7 y = 0.74$

$0.3 x + 0.5 y = 0.5$

Discussion

35.	Find the ratio in which the line segment joining the points A (3, -3) and B (-2, 7) is divided by x-axis. Also, find the coordinates of the point of division.
Answer» Find the ratio in which the line segment joining the points A (3, -3) and B (-2, 7) is divided by x-axis. Also, find the coordinates of the point of division.

Discussion

36.	The probability of selecting a green marble at random from a jar that contains only green, white and yellow marbles is 14. The probability of selecting a white marble at random from the same jar is 13.1f this jar contains 10 yellow marbles, what is the total number of marbles in the jar?
Answer» The probability of selecting a green marble at random from a jar that contains only green, white and yellow marbles is $\frac{1}{4}$ . The probability of selecting a white marble at random from the same jar is $\frac{1}{3}$ .1f this jar contains 10 yellow marbles, what is the total number of marbles in the jar?

Discussion

37.	If cos 3θ = cos θ − 6o,where 3 θ and θ − 6o are acute angles, find the value of θ
Answer» If cos $3 θ = c o s θ - 6^{o}$ ,where 3 $θ$ and $θ - 6^{o}$ are acute angles, find the value of $θ$

Discussion

38.	If 4 is a zero of p(x)=x3−3x2−6x+8. Find the remaining zeroesundefinedundefinedundefinedundefined
Answer» If 4 is a zero of $p (x) = x^{3} - 3 x^{2} - 6 x + 8$ . Find the remaining zeroes undefined undefined undefined undefined

Discussion

39.	A tree is broken at certain height and its upper part 9√2 m long not completely separated meet the ground at an angle of 45∘. Find the height of the tree before it was broken and also find the distance from the root of the tree to the point where the top of the tree meets the ground.
Answer» A tree is broken at certain height and its upper part 9 $\sqrt{2}$ m long not completely separated meet the ground at an angle of $45^{\circ}$ . Find the height of the tree before it was broken and also find the distance from the root of the tree to the point where the top of the tree meets the ground.

Discussion

40.	Sum of digits of a 2 digit number is 10. Sum of the number and its reverse equals 110. Represent it graphically.
Answer» Sum of digits of a 2 digit number is 10. Sum of the number and its reverse equals 110. Represent it graphically.

Discussion

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

41.

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

Answer»

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

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

Discussion

42.	If the abcissa and ordinate are equal , find the point where x+2y = 12.
Answer» If the abcissa and ordinate are equal , find the point where x+2y = 12.

Discussion

43.	Find the mean of the following data. Class0−1010−2020−3030−4040−50Frequency671197
Answer» Find the mean of the following data. $\begin{matrix} C l a s s & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y & 6 & 7 & 11 & 9 & 7 \end{matrix}$

Discussion

44.	Which of the following is not a criteria for congruence of two triangles?
Answer» Which of the following is not a criteria for congruence of two triangles?

Discussion

45.	If (a + b +c + d) (a -b- c+ d) =(a + b- c- d) (a -b+c- d); prove that : a : b =c : d.
Answer» If (a + b +c + d) (a -b- c+ d) =(a + b- c- d) (a -b+c- d); prove that : a : b =c : d.

45.

If (a + b +c + d) (a -b- c+ d) =(a + b- c- d) (a -b+c- d); prove that : a : b =c : d.

Answer»

If (a + b +c + d) (a -b- c+ d)

=(a + b- c- d) (a -b+c- d);

prove that : a : b =c : d.

Discussion

46.	Find the HCF of smallest composite and prime number
Answer» Find the HCF of smallest composite and prime number

Discussion

47.	Question 40 State whether the following statement is true (T) or false (F). In the equation 3x-3=9, transposing -3 to RHS, we get 3x=9.
Answer» Question 40 State whether the following statement is true (T) or false (F). In the equation 3x-3=9, transposing -3 to RHS, we get 3x=9.

47.

Question 40 State whether the following statement is true (T) or false (F). In the equation 3x-3=9, transposing -3 to RHS, we get 3x=9.

Answer»

Question 40

State whether the following statement is true (T) or false (F).

In the equation 3x-3=9, transposing -3 to RHS, we get 3x=9.

Discussion

48.	Find the co-ordinates of the following points when reflected in the line line x = 2. i) (4, 1) ii) (3, -2) iii) (6, -2)
Answer» Find the co-ordinates of the following points when reflected in the line line x = 2. i) (4, 1) ii) (3, -2) iii) (6, -2)

48.

Find the co-ordinates of the following points when reflected in the line line x = 2. i) (4, 1) ii) (3, -2) iii) (6, -2)

Answer»

Find the co-ordinates of the following points when reflected in the line line x = 2.

i) (4, 1)

ii) (3, -2)

iii) (6, -2)

Discussion

49.	if the sum of the zeroes of 9x2−kx+2 is 119 find the value of k
Answer» if the sum of the zeroes of $9 x^{2} - k x + 2$ is $\frac{11}{9}$ find the value of k

Discussion

50.	In the adjoining figure, O is the center of the circle and AB is the diameter. Tangent PQ touches the circle at D. ∠BDQ = 48∘. Find the ratio of ∠DBA to ∠DCB
Answer» In the adjoining figure, O is the center of the circle and AB is the diameter. Tangent PQ touches the circle at D. $∠$ BDQ = $48^{\circ}$ . Find the ratio of $∠$ DBA to $∠$ DCB

50.

In the adjoining figure, O is the center of the circle and AB is the diameter. Tangent PQ touches the circle at D. ∠BDQ = 48∘. Find the ratio of ∠DBA to ∠DCB

Answer»

In the adjoining figure, O is the center of the circle and AB is the diameter. Tangent PQ touches the circle at D. $∠$ BDQ = $48^{\circ}$ . Find the ratio of $∠$ DBA to $∠$ DCB

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The angle of elevation of a jet fighter from a point A on the ground is 60°. After 15 seconds, the angle of elevation changes to 30°. If the speed of the jet is 720 km/h, find the height at which it is flying.

Which of the following represents the volume of a pyramid?

If A=[abcd] (where bc≠0) satisfies the equation x2+k=0, then

Rajesh bought an article of Rs. 374, which include a discount of 15% on the marked price and a sales tax of 10% on the reduced price. Find the marked price on the article.

Which term of the progression 20,1914,1812,1734...... is the first negative term?

(2 + √5) (2 + √5) expression is :

If A+B=90∘, then tan A tan B+tan A cot Bsin Asec B−sin2Acos2B=1cos2A−X.Find X

A man buys a ₹ 10 share in a company at a premium of ₹ 2 which pays 9 % dividend. Find the rate of interest on his investment ?

If t is the time required for a radioactive substance to reduce to one third of its initial amount, what fraction would be left over after0.5 t

A model aeroplane is tethered to a post and held by a fine line. It flies in a horizontal circle. Then the line breaks. What direction will it fly in?

In the figure, O is the center of the circle &amp; AB is the Tangent to it at point B. ∠BDC = 65o. Find ∠BAO.

The H.C.F. of x2+2x−8, x3−4x2+4x and x2−4 is .

In the given figure, O is the centre of the circle, and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm, the area of shaded portion will be

The positive value of k, for which both equations: x2 + kx + 64 = 0 and x2 - 8x + k = 0 have real roots is________

If a + b+ c = 5 , 3a + 2b + c = 7, 9a + 3b + c = 13 Find the value of a, b and c.

If the 4th, 7th and 10th terms of a G.P. be a, b, c respectively, then the relation between a, b, c is

If cos x = cos 60o cos 30o + sin 60o sin 30o, then the value of x is

The value of the expression 2log 3−12log 16+log 12 is equal to ___

The table below shows the workers in a factory sorted according to their daily wages : Daily wages (Rs)No. workers40035004600570078006900310004 Calculate the Median.

What are the taxes that existed before GST?

If a+b+c=0,then(1b2+c2−a2)+(1c2+a2−b2)+(1a2+b2−c2) is equal to :

The length of the diagonal AC of a rhombus ABCD is 20 cm and one of its angle measures 120∘, then the length of the other diagonal BD is

In ΔABC,∠A is obtuse, PB⊥AC and QC⊥AB prove that: (i) AB×AQ=AC×AP (ii) BC2=(AC×CP+AB×BQ)

x2&gt;−1+3x4;x ∈ N

A rectangular ground 80 m × 50 m has a path 1m wide outside around it. The area of the path is (a) 264 m2 (b) 284 m2 (c) 400 m2 (d) 464 m2

IF (3y-1), (3y + 5) and (5y + 1) are three consecutive terms of an AP then find the value of y .

If the area of an equilateral triangle is 36 √3 cm2, find its perimeter

If 45, a, 2 are in AP, find the value fo a.

The area of a square field is 0.5 hectare. The length of its diagonal is (a) 150m (b) 100√2m (b) 100m (b) 50√2m

Find the least number which when divided by 36, 56 and 91 leaves the same remainder 7 in each case.

Solve the following systems of equations: 0.5x+0.7y=0.74 0.3x+0.5y=0.5

Find the ratio in which the line segment joining the points A (3, -3) and B (-2, 7) is divided by x-axis. Also, find the coordinates of the point of division.

The probability of selecting a green marble at random from a jar that contains only green, white and yellow marbles is 14. The probability of selecting a white marble at random from the same jar is 13.1f this jar contains 10 yellow marbles, what is the total number of marbles in the jar?

If cos 3θ = cos θ − 6o,where 3 θ and θ − 6o are acute angles, find the value of θ

If 4 is a zero of p(x)=x3−3x2−6x+8. Find the remaining zeroesundefinedundefinedundefinedundefined

A tree is broken at certain height and its upper part 9√2 m long not completely separated meet the ground at an angle of 45∘. Find the height of the tree before it was broken and also find the distance from the root of the tree to the point where the top of the tree meets the ground.

Sum of digits of a 2 digit number is 10. Sum of the number and its reverse equals 110. Represent it graphically.

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

If the abcissa and ordinate are equal , find the point where x+2y = 12.

Find the mean of the following data. Class0−1010−2020−3030−4040−50Frequency671197

Which of the following is not a criteria for congruence of two triangles?

If (a + b +c + d) (a -b- c+ d) =(a + b- c- d) (a -b+c- d); prove that : a : b =c : d.

Find the HCF of smallest composite and prime number

Question 40 State whether the following statement is true (T) or false (F). In the equation 3x-3=9, transposing -3 to RHS, we get 3x=9.

Find the co-ordinates of the following points when reflected in the line line x = 2. i) (4, 1) ii) (3, -2) iii) (6, -2)

if the sum of the zeroes of 9x2−kx+2 is 119 find the value of k

In the adjoining figure, O is the center of the circle and AB is the diameter. Tangent PQ touches the circle at D. ∠BDQ = 48∘. Find the ratio of ∠DBA to ∠DCB

In the figure, O is the center of the circle & AB is the Tangent to it at point B. ∠BDC = 65o. Find ∠BAO.

x2>−1+3x4;x ∈ N