8677 + Interview Questions in Maths in Class 14 Page 147 InterviewSolution

7301.	In the figure, O is centre of a circle. If angle BAC = 20^(@) and angle ACB = 30^(@). Find angle AOC
Answer» ANSWER :`ANGLE AOC = 100^(@)`

Discussion

7302.	40 men can complete a work in 40 days. They started the work together. But at the end of each 10th day, 5 men left the job. The work would have been completed in
Answer» `56"" (2)/(3)` days `53 "" (1)/(3)` days `52` days 50 days Answer :A

Discussion

7303.	Three persons Amar, Akbar and Anthony agree to pay their hotel bills in the ratio of 3 : 4 : 5 Amar pays the first day's bill which amounts to ₹ 26.65, Akbar pays the second days bill which amounts to ₹ 42.75 and C pays the third day's bill which amounts to ₹ 53.00. When they settle their accounts, which of the following happens?
Answer» Amar GIVES ₹ 3 to C AKBAR gives ₹ 2 to Amar Amar gives Akbar ₹ 1.95 and ₹ 2 to Antony none of the above Answer :C

Discussion

7304.	A salesgirl's term were changed from a flat commission of 5% on all her sales to a fixed salary of Rs. 1000 plus 2.5% commission on all sales exceeding Rs. 4000 . If her remuneration as per the new scheme was Rs. 600 more than that by the previous scheme , her total sales was
Answer» RS. 10000 Rs. 5000 Rs. 2000 Rs. 12000 Solution :(d)`(5X)/(100)+600=1000+(5)/(2)xx((x-4000))/(100)` `implies x=12000`

Discussion

7305.	Find the y-intercept of ((x+3)(x-7))/((2x-5))
Answer» Solution :For y-INTERCEPT,`F(0)=((0+3)xx(0-7))/((2xx0-5))=21/5` THEREFORE the y -intercept is `21//5`.

Discussion

7306.	P and Q start from A and B respectively with uniform velocities. P is headed towards B and Q towards A and both cities are 600 km apart. P rests whenever Q is on the move and Q rest whenever P is on the move. The speed of P and Q is 25 km/h and 30 km/ h respectively. If P starts first and reaches B in 36 hours, then find the least time that Q would take to each his destination after P makes a start.
Answer» ANSWER : 44 HRS

Discussion

7307.	Find the value of(25)^3
Answer» SOLUTION : `THEREFORE (25)^3 = 15625`

Discussion

7308.	Given log 2 = 0.3010 and log 3= 0.4771, find the value of log 45.
Answer» SOLUTION :`log45=log3^2+log5=2log3+log5=2xx0.4771+"LOG"10/2=0.9542+log10-log2=0.9542+1-0.3010=1.6532`

Discussion

7309.	The price of Shirts at Sahara Ganj is defined as rs(100+10x^2), where x is the number of shirts. Mallika purchased 5 shirts from the above shop. The average price of a shirts is :
Answer» 70 50 75 none of these Answer :A

Discussion

7310.	Find the remainder when (25)^(30) is divided by 26.
Answer» 0 1 25 24 Answer :B

Discussion

7311.	The square root of a positive number less than 100 lies between:
Answer» 0 and 1000 0 and 10 `-10` and 10 `-100` and 100 Answer :C

Discussion

7312.	A person purchased 76 cows and sold 40 at 19 % profit , 16 at 25% profit and 20 at 15 profit over all he got profit of Rs 6570. Find C.P. of 1 cow.
Answer» ANSWER :RS. 450

Discussion

7313.	When a number is divided by 54, the remainder obtained is 39.
Answer» a. 4 b. 5 c. 3 d. 7 Answer :A

Discussion

7314.	Fourdice arethrownsimultaneously. Findthe probabilitythat : Atleasttwoof themshowthe sameface .
Answer» `37/72` `11/36` `47/72` `25/36` ANSWER :C

Discussion

7315.	Find the unit digit of 111!. (factorial 111) .
Answer» Solution :`111!=1xx2xx3xx4xx5xx...xx110xx111` SINCE there is a product of 5 and 2 hence it will GIVE zero as the UNIT digit. Hence the unit digit of `111!` is 0 9zero).

Discussion

7316.	If the sum is 240 and average is 40, find the number of quantities.
Answer» 5 2 3 6 Answer :B

Discussion

7317.	How manynumberseachlyingbetween100 and 1000 can beformedwiththedigits 0,2,3,4,5 ( nodigit beingrepeated) ?
Answer» 24 48 72 96 Answer :B

Discussion

7318.	6 children and 2 men complete a certain piece of work in 6 days. Each child takes twice the time taken by a man to finish the work In how many days will 5 men finish the same work?
Answer» 6 8 9 15 Answer :A

Discussion

7319.	Find the value of (sectheta-costheta)^(2)+(cosectheta-sintheta)^(2)-(cottheta-tantheta)^(2).
Answer» 0 `(1)/(2)` 1 2 Answer :C

Discussion

7320.	There is cubicalblock of wood of side 2 cm. Ifthe cylinder of the largest possiblevolume in carved out from it. Find the volume of the remaining wood :
Answer» `7/(12) cm^2` `(12)/7 cm^3` `5 5/7 cm^3` none of these Answer :B

Discussion

7321.	A cricket team of 11 players is to be selected from 16 players including 5 bowlers and 2 wicketkeepers. In how many ways can a team be selected so as to consist of exactly 3 bowlers and 1 wicketkeeper?
Answer» B. 720 b. 272 C. 850 d. NONE of(a),(b) ,(c ) ANSWER :B

Discussion

7322.	The ratio of age of A and B is x:y. If A's age is increased by 3 years and B's age is incresed by 2 years then new ratio oftheir ages becomes 24:25. Given that the sum of their actual ages is 93 years. Find the actual ratio of their ages.
Answer» 0.89027777777778 42:45 45:48 can't be determined Answer :C

Discussion

7323.	How many 6 digit numbers can be formed out of the number 567724, which are even?
Answer» a. 360 b. 480 C. 180 d. 220 Answer :C

Discussion

7324.	In thequestionnumber13how manywordsare therein whichvowelsare alwaysbeforethe consonants ?
Answer» 72 144 96 none of these Answer :B

Discussion

7325.	If \|z\| = 1, then ((1 + z)/(1 + z)) equals :
Answer» `BAR(Z)` z `z^(-1)` none of these ANSWER :B

Discussion

7326.	ABC is an equilateral triangle inscribed in a circle. D is any point on the arc BC. What is angleADB equal to?
Answer» `90^@` `60^@` `45^@` NONE of these ANSWER :B

Discussion

7327.	if sin theta + sqrt(sin theta+ sqrt(sin theta+ sqrt(sin theta + oo )))=sec ^4 alpha then sin theta is equal to
Answer» `sec^2 ALPHA` `tan^2 alpha` `sec^2 alpha tan^2 alpha` `cos^2 alpha` ANSWER :C

Discussion

7328.	cos20^(@).cos40^(@).cos60^(@).cos80^(@) is :
Answer» 1/16 1/50 1/24 1/25 Answer :A

Discussion

7329.	Anjuli bought some chocolates from Nestle's exclusive shop, she gave to Amit one less than half of what she had initially. Then she had given 3 chocolates to Bablu and then half of the chocolates which she had then given to charles. Thus finally she gave one chocolate to Deepak and the remaining one she ate herself. The number of chocolates she had purchased.
Answer» 9 12 10 15 Answer :B

Discussion

7330.	If tanx=(b)/(a), then find the value of sqrt((a+b)/( a-b ))+sqrt((a-b)/(a+b)).
Answer» `(2sinx)/(SQRT(SIN2X))` `(2COSX)/(sqrt(COS2X))` `(2cosx)/(sqrt(sin2x))` `(2cosx)/(sqrt(cos2x))` ANSWER :D

Discussion

7331.	If the area of circumcirle of an equilateral triangle is (25pi)/2 cm^(2), then find the radius of the incircle to the triangle.
Answer» Answer :` = 5/(2 SQRT(3)) CM`

Discussion

7332.	Find the square of 120409.
Answer» SOLUTION : `THEREFORE sqrt120409 = 347`

Discussion

7333.	At what time between 2 o clock and 3 o clockwill the hands of a clockpoint in opposite directions ?
Answer» `480/11` MIN PAST 2 `485/11` min past 2 `580/11` min past 2 `520/11` min past 2 ANSWER :A

Discussion

7334.	Find the coordinates of the orthocentre of the triangle whose vertices are (1,2) ,(2,3) and (4,3) .
Answer» a. (2,5) B. (3,4) C. (1,6) d. NONE of these Answer :A

Discussion

7335.	A point O lies inside a square ABCD such that OA=3, OB=4 and OD=5, find the value of OC.
Answer» A)`ROOT(3)(3)` B)6.67 C)`root(3)(2)` D)4`root()(2)` ANSWER :D

Discussion

7336.	I. 6x^(2) + 25x + 24 = 0""II. 12y^(2) + 13y + 3 = 0
Answer» ` x gt y` ` x ge y` ` x lt y` Relationship between x and y cannot be determined Solution :I. ` 6X^(2)+25x+24 = 0` ` D = sqrt(B^(2) - ac) ` ` D = sqrt(625-4 xx 24 xx 6)` ` = sqrt(49) = 7` ` x_(1) = (-b+7)/12 = (-25+7)/12 = (-18)/12 =- 3/2` ` x_(2) = (-b-7)/12 = (-25-7)/12 = (-32)/12 =- 8/3` ` x = (-3)/2, (-8)/3` II.` 12y^(2)+13y+3 = 0` ` y_(1) = (-13+sqrt(169-144))/24` ` = (-13+5)/24 = (-8)/24 = (-1)/3` ` y_(2) = (-13-sqrt(169+144))/24 = (-18)/24 = (-3)/4` ` y = (-1)/3, (-3)/4 rArrx lt y`

Discussion

7337.	Two vertices of a triangle ABC are B(5,-1) and C(-2,3) .If the orthocentre of the triangle is the origin , find the thrid vertex.
Answer» `(7/2.(13)/2)` `(3/2, (11)/2)` (-4, -7) none of these Answer :C

Discussion

7338.	The number of triangles whose vertices are at the vertices of a octagon but none of the sides of such triangles are taken from the sides of the octagon.
Answer» 8 15 16 none of these Answer :C

Discussion

7339.	A train moving with uniform speed crosses a pole in 2 s and a 250 m long bridge in 7 s. Find the length of the train.
Answer» 150 m 120 m 100m 80 m Answer :C

Discussion

7340.	Evaluate the following : (11/-12)^3
Answer» SOLUTION :-1331/1728

Discussion

7341.	I.6x^(2) + 25x + 24 = 0 II.12y^(2) + 13y + 3 = 0
Answer» `x GT y` ` x ge y` ` x LT y` Relationship between x and y cannot be DETERMINED Solution :I. ` 6x^(2) + 25x+24 = 0` ` rArr6x^(2) + 16x + 9x + 24 = 0` ` rArr2x(3x+8) + 3 (3x+8) = 0` ` rArr (2x+3) (3x + 8) ` ` :.X = (-3)/2, (-8)/3` II. ` 12y^(2) + 9y+4y + 3 = 0` ` rArr12y^(2) + 9y+4y + 3 = 0` ` rArr3y(4y+3) +1(4y+3)` ` rArr(4y+3)(3y+1)` ` :.y = (-3)/4 (-1)/3` ` :.x lt y`

Discussion

7342.	An electirc train is going with the speed km/hr and its electric pwer is thrice of firction force . When electric power is twice then due to any reason its firction force becomes 1(1)/(2) times .Find its current speed.
Answer» `52 (2)/(3) km//hr ` `50 (1)/(3) km//hr ` `53(1)/(3) km//hr` `40 km//hr` ANSWER :C

Discussion

7343.	If the equation x^2+px+qr=0 and x^2+qx+rp=0 have a common root, the other roots, which arenot common in these equations, will be the roots of the equation:
Answer» `x^2+pqx+r=0` `x^2-rx-pq=0` `px^2+rx+q=0` `x^2+rx+pq=0` ANSWER :D

Discussion

7344.	Largest four digit number which when divided by 15 leaves a remainder of 12 and if the same number is divided by 8 it leaves the remainder 5. Such a greatest possible number is :
Answer» 9963 9957 9945 9999 Answer :B

Discussion

7345.	A train covers distance between two stations A and B in 2 h. If the speed of train is re- duced by 6 km/h, then it travels the same distance in 3 h. Calculate the distance between two stations and speed of the train.
Answer» ANSWER :`=18 KM //H`

Discussion

7346.	Two stations A and B, 100 km far away to each other. Two trains starts at the same time from station A and station B. The train starts from station A is running with the speed of 50 km/h to station B. The train starts from station B is running with the speed of 75 km/h to station A. At what distance both the trains meet with each other from station A?
Answer» a. 40 KM b. 20 KM c. 30 KM d. none of these ANSWER :A

Discussion

7347.	A sum of Rs. 2500 is lent out in two parts , one at 12 % p.a. and another at 12.5% p.a. for one years. If the total annual income is Rs. 306, the money lent at 12% is :
Answer» 1000 1200 1500 1300 Answer :D

Discussion

7348.	? div 0.5xx24=5652
Answer» 171.75 117.25 171.25 117.75 Solution :`(?)/(0.5)xx24=5652` `RARR ?=(5652xx0.5)/(24)=117.75`

Discussion

7349.	Two trains Punjab mail and Lucknow mail starts simultaneously from Patiyala and Lakhimpur respectively towards each other with the speed of 40 km/h and 60 km/h respectively on the same track Lakhimpur is 500 km due east of Patiyala. A plane starts flying at 200 km/h at the same time from Patiyala to Jalandhar. Jalandhar is 100 km due north of Patiyala. After travelling sometime two trains Punjab mail and Lucknow mail collides with each other. The plane moves continuously to and fro between Patiyala to Jalandhar till the collision of the trains. How far would the plane have travelled?
Answer» 100 km 1000 km 2000 km can't be determined Answer :B

Discussion

7350.	If a and b are two odd positive integers, bywhich of the following integers is (a^4-b^4)always divisible ?3 (b)6 (c) 8 (d) 12
Answer» 3 6 8 12 Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

In the figure, O is centre of a circle. If angle BAC = 20^(@) and angle ACB = 30^(@). Find angle AOC

40 men can complete a work in 40 days. They started the work together. But at the end of each 10th day, 5 men left the job. The work would have been completed in

A salesgirl's term were changed from a flat commission of 5% on all her sales to a fixed salary of Rs. 1000 plus 2.5% commission on all sales exceeding Rs. 4000 . If her remuneration as per the new scheme was Rs. 600 more than that by the previous scheme , her total sales was

Find the y-intercept of ((x+3)(x-7))/((2x-5))

Find the value of(25)^3

Given log 2 = 0.3010 and log 3= 0.4771, find the value of log 45.

The price of Shirts at Sahara Ganj is defined as rs(100+10x^2), where x is the number of shirts. Mallika purchased 5 shirts from the above shop. The average price of a shirts is :

Find the remainder when (25)^(30) is divided by 26.

The square root of a positive number less than 100 lies between:

A person purchased 76 cows and sold 40 at 19 % profit , 16 at 25% profit and 20 at 15 profit over all he got profit of Rs 6570. Find C.P. of 1 cow.

When a number is divided by 54, the remainder obtained is 39.

Fourdice arethrownsimultaneously. Findthe probabilitythat : Atleasttwoof themshowthe sameface .

Find the unit digit of 111!. (factorial 111) .

If the sum is 240 and average is 40, find the number of quantities.

How manynumberseachlyingbetween100 and 1000 can beformedwiththedigits 0,2,3,4,5 ( nodigit beingrepeated) ?

6 children and 2 men complete a certain piece of work in 6 days. Each child takes twice the time taken by a man to finish the work In how many days will 5 men finish the same work?

Find the value of (sectheta-costheta)^(2)+(cosectheta-sintheta)^(2)-(cottheta-tantheta)^(2).

There is cubicalblock of wood of side 2 cm. Ifthe cylinder of the largest possiblevolume in carved out from it. Find the volume of the remaining wood :

A cricket team of 11 players is to be selected from 16 players including 5 bowlers and 2 wicketkeepers. In how many ways can a team be selected so as to consist of exactly 3 bowlers and 1 wicketkeeper?

The ratio of age of A and B is x:y. If A's age is increased by 3 years and B's age is incresed by 2 years then new ratio oftheir ages becomes 24:25. Given that the sum of their actual ages is 93 years. Find the actual ratio of their ages.

How many 6 digit numbers can be formed out of the number 567724, which are even?

In thequestionnumber13how manywordsare therein whichvowelsare alwaysbeforethe consonants ?

If |z| = 1, then ((1 + z)/(1 + z)) equals :

ABC is an equilateral triangle inscribed in a circle. D is any point on the arc BC. What is angleADB equal to?

if sin theta + sqrt(sin theta+ sqrt(sin theta+ sqrt(sin theta + oo )))=sec ^4 alpha then sin theta is equal to

cos20^(@).cos40^(@).cos60^(@).cos80^(@) is :

If tanx=(b)/(a), then find the value of sqrt((a+b)/( a-b ))+sqrt((a-b)/(a+b)).

If the area of circumcirle of an equilateral triangle is (25pi)/2 cm^(2), then find the radius of the incircle to the triangle.

Find the square of 120409.

At what time between 2 o clock and 3 o clockwill the hands of a clockpoint in opposite directions ?

Find the coordinates of the orthocentre of the triangle whose vertices are (1,2) ,(2,3) and (4,3) .

A point O lies inside a square ABCD such that OA=3, OB=4 and OD=5, find the value of OC.

I. 6x^(2) + 25x + 24 = 0""II. 12y^(2) + 13y + 3 = 0

Two vertices of a triangle ABC are B(5,-1) and C(-2,3) .If the orthocentre of the triangle is the origin , find the thrid vertex.

The number of triangles whose vertices are at the vertices of a octagon but none of the sides of such triangles are taken from the sides of the octagon.

A train moving with uniform speed crosses a pole in 2 s and a 250 m long bridge in 7 s. Find the length of the train.

Evaluate the following : (11/-12)^3

I.6x^(2) + 25x + 24 = 0 II.12y^(2) + 13y + 3 = 0

An electirc train is going with the speed km/hr and its electric pwer is thrice of firction force . When electric power is twice then due to any reason its firction force becomes 1(1)/(2) times .Find its current speed.

If the equation x^2+px+qr=0 and x^2+qx+rp=0 have a common root, the other roots, which arenot common in these equations, will be the roots of the equation:

Largest four digit number which when divided by 15 leaves a remainder of 12 and if the same number is divided by 8 it leaves the remainder 5. Such a greatest possible number is :

A train covers distance between two stations A and B in 2 h. If the speed of train is re- duced by 6 km/h, then it travels the same distance in 3 h. Calculate the distance between two stations and speed of the train.

A sum of Rs. 2500 is lent out in two parts , one at 12 % p.a. and another at 12.5% p.a. for one years. If the total annual income is Rs. 306, the money lent at 12% is :

? div 0.5xx24=5652

If a and b are two odd positive integers, bywhich of the following integers is (a^4-b^4)always divisible ?3 (b)6 (c) 8 (d) 12