8677 + Interview Questions in Maths in Class 14 Page 168 InterviewSolution

8351.	Hari and Murli have 24 cows and 30 cows respectively. Both of them together hired a grazing field for the whole month of November. Initially Hari's cows used for grazing then for the remaining days of the month Murli's cows grazed it. If Hari has paid ₹ 3500 and Murli has paid ₹ 5000 for grazing then for how many days Hari used the grazing field :
Answer» 14 16 21 20 Answer :A

Discussion

8352.	If thepoints (p ,\ q),\ (m ,\ n)and (p-m ,\ q-n)arecollinear, show that p n=q m.
Answer» Answer :`G=((x_(1)+x_(2)+x_(3))/(3),(y_(1)+y_(2)+y_(3))/(3))`

Discussion

8353.	Find max & min value of 10+sinalpha+cosbeta.
Answer» ANSWER :8

Discussion

8354.	Find the area of a quadrilateral with sides 17,25, 30 and 28 cm and one of its diagonal is 26 cm:
Answer» `450 cm^2` `360 cm^2` `540 cm^2` `720 cm^2` ANSWER :C

Discussion

8355.	(sinA+sin3A+sin5A+sin7A)/(cosA+cos3A+cos5A+cos7A) is :
Answer» tan2A tan3A tan4A tan8A Answer :C

Discussion

8356.	The marks obtained by the students of a school is given below : maximum marks are 50. The ratio of no. of boys to no. of girls who passed the exam is 7:6. it is know that a student can pass the exam only when he obtained at least 20 marks in the exam. The total no. of students in the school if the no. of girls who are passed is 408 :
Answer» 1100 1200 1300 1430 Answer :C

Discussion

8357.	Find the perimeter of a regular octagon in inscribed in a circle of radius 100 cm:
Answer» 532.87 cm 612.32 cm 378.32 cm 875 cm Answer :B

Discussion

8358.	The value of x for which log_(9)x - log_(9) (x/10 + 1/9) is:
Answer» 2 4 9 10 Answer :D

Discussion

8359.	whatis theprobabilitythat a numberselected fromthenumbers 1,2,3,….,20, isa primenumberwheneachofthe givennumbersisequallylikelyto beselected ?
Answer» `7/10` `2/15` `2/5` `3/5` ANSWER :C

Discussion

8360.	Instead of dividing Rs 117 among A, B, C in the ratio (1)/(2) : (1)/(3) : (1)/(4) by mistake it was divided in the ratio 2 : 3 : 4. Who gained in the transaction & by how much?
Answer» a) A Rs 28 b) B , Rs 3 C) C, Rs 20 d) C, Rs 25 ANSWER :D

Discussion

8361.	A rectangular pool 20 metres wide and 60 metres long is surrounded by a walkway ofunifonn width. If the total area of the walkway is 516 square metres, how wide, in metres, is the walkway?
Answer» 43 4.3 3 3.5 Solution : Let width of WALKWAY be x meter Then, `(20+2x)(60+2x)=516+1200` `rArr 1200+120x+40x+4x^2=516+1200` `rArr 4x^2+160x-216=0rArrx^2+40x-129=0` `rArr x^2+43x-3x-129=0 rArrx=3, x=-43` `:." Width of walkway =3 METERS "`

Discussion

8362.	A completes (2)/(3) of a certain job in 6 days. B can complete (1)/(3) of the same job in 8 days and C can complete (3)/(4) of the work in 12 days. All of them work together for 4 days and then A and C quit. How long will it take for B to complete the remaining work alone?
Answer» 3.8 days 3.33 days 2.22 days 4.3 days Answer :B

Discussion

8363.	Convert (35)_(10) into base 3.
Answer» SOLUTION :

Discussion

8364.	An item was sold after giving two successive discount of 20% and 10% respectively, If the item was sold for₹ 468. The marked price of that item is :
Answer» ₹ 600 ₹ 500 ₹ 575 ₹ 650 Answer :D

Discussion

8365.	Two chords AB and CD of a circle intersect at A, AB is the diameterand CDis botto AB .AE = 2 cm AB = 10 cm,Find value ofED.
Answer» ANSWER :X = 4

Discussion

8366.	Anjali fires two bullets from the same place at an interval of 6 minutes but Bhagwat sitting in a car approaching the place of firing herts the second fire 5 minutes 32 seconds after the first firing.What is the speed of car if the speed of sound is 332 m/s?
Answer» 56 m/s 102 m/s 28 m/s 32 m/s Answer :C

Discussion

8367.	A class took two tests , onein Physics and otherin Maths ((1)/(3))^(rd) class failed in Mathsand (1)/(2)class failed in Physics . 60% of thoese passed in Physics also passed in Maths. If 300 students took both the teststhen how many students failed in both ?
Answer» ANSWER :`=40`

Discussion

8368.	Two items A and B are sold at a profit of 10% and 15% respectively. If the amount of profit received is the same, then the cost price of A and B may be?
Answer» ANSWER :RS. 3000, Rs. 2000

Discussion

8369.	find the value of the following expression cos^4theta-sin^4theta is :
Answer» `COS2THETA` `SIN2THETA` `tan2theta` NONE of these Answer :A

Discussion

8370.	A polygon has 54 diagonals. The number of sides in the polygon is:
Answer» 6 12 27 18 Answer :B

Discussion

8371.	A trader has a faulty balance that weighs 30% less than what it should weigh. Further he marks up the price of the goods by 16.67% and then he offers a discount of 10% on the marked price, what is his profit per cent?
Answer» 18.8 50 16.67 35 Answer :B

Discussion

8372.	In the given figure, BC=AC=AD, angleEAD=81^(@). Find the value of x :
Answer» `45^(@)` `54^(@)` `63^(@)` `36^(@)` ANSWER :B

Discussion

8373.	A number consists of two digits. If the number formed by interchanging the digits is added to the original number, the resulting number (i.e. the sum) must be divisible by
Answer» 11 9 5 3 Answer :A

Discussion

8374.	If you want to save money you must get rid of shopping.
Answer» 7 8 4 none of these Answer :D

Discussion

8375.	If x+ (1)/(x)= -1 findx^(12) + (1)/(x^(12)) = ?
Answer» ANSWER :2

Discussion

8376.	f:{1,2,3,4,5}→{1,2,3,4,5} that are onto and f(i)≠i, is equal to
Answer» A. 6 B. 88 C. 44 D. 50 Answer :C

Discussion

8377.	4182.395 /20.886 = ?
Answer» a. 300 B. 200 c. 150 d. 250 Answer :B

Discussion

8378.	An iron pillar hassome part n the form of a right circularcylinder and remainingin the form of a right circular cone. The radius of base of cone , as well as cylinder is 21 cm . The cylindrical part is 80 cm high and conical part is16 cm high . Find the weight of the pillar , if1 cm^(3) of iron weighs 8.45 g :
Answer» 999.39 kg 111 kg 1001 kg 989 kg Answer :A

Discussion

8379.	The ratio of CI for 3 years and SI for 1 year for a fixed amount at a rate of r% is 3.64. What is the value of r?
Answer» `10%` `15%` `20%` NONE of these Answer :C

Discussion

8380.	The sum of the length and breadth of a rectangle is 6 cm. A square is constructed such that one of its sides is equal to a diagonal of the rectangle. If the ratio of areas of the square and rectangle is 5 : 2, then the area (in cm^(2) )
Answer» `20CM^(2)` `10CM^(2)` `4sqrt5cm^(2)` `10sqrt2cm^(2)` ANSWER :A

Discussion

8381.	A person ordered 4 shirts of brand A and some shirts of brand B. The price of one shirt of brand A was twice that of brand B. When the order was executed, it was found that the number of the two brands has been interchanged. This increased the bill by 40%. The ratio of the number of brand A shirts to that of brand B shirts in the original order was
Answer» ANSWER :`1:3`

Discussion

8382.	The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has mate a prifit of 12%, then the cost price of the article.
Answer» ANSWER :500RS

Discussion

8383.	ABC is an isosceles Delta, AB = AC. A circle passing throughB touchAC at mid point T and cut AB at P. find(AP)/(AB) ?
Answer» ANSWER :`1 : 4 `

Discussion

8384.	For n being a positive integer, how many values of n satisy 7^(21) le n^(28) le 3^(63) ?
Answer» 10 7 1 2 Answer :B

Discussion

8385.	When a number 'N' is divided by a proper divisor 'D' then it leaves a remainder of 14 and if the thrice of that number i.e. 3N is divided by the same divisor D, the remainder comes out to be 8. Again if the 4 times of the same number i.e., '4N' is divided by D the remainder will be :
Answer» 35 22 5 can't be determined Answer :D

Discussion

8386.	Find the value of x that satisfy the inequation x^4-13x^2+36le0.
Answer» `[-3,-2]UU[2,3]` `[-3,3]` `[-2,2]` `(-OO,-3]uu[3,oo)` ANSWER :A

Discussion

8387.	Which one of the following is greatest one?
Answer» a. `3^(3322)` B. `33^(322)` c. `333^(22)` d. `22^(333)` Answer :A

Discussion

8388.	Study the following graph carefully and answer the questions that follow If the profit earnedby company L in the year 2005 was ? 1.84 lak , what was the profit earned by the company in the year 2006 ?
Answer» ? `2.12` LAKH ? `2.3` lakh ? `2.04` lakh Cannot be DETERMINED ANSWER :B

Discussion

8389.	Find the maximum area that can be enclosed in a triangle of perimeter 24 cm:
Answer» `32cm^2` `16sqrt3cm^2` `16sqrt2cm^2` `27cm^2` ANSWER :B

Discussion

8390.	If m+ (1)/(m-2)=4, find m^(2) + m+1=?
Answer» ANSWER :13

Discussion

8391.	A train travelling at a speed of 30m/scrosses a 600m long platfor min 30s.Find the length of the train.
Answer» 120 m 150m 200m 300m Answer :D

Discussion

8392.	R is 1.5 times as efficient as that of P, and Q takes half time as compared to that of R. If R and P takes 2 2/5 days to complete half of the work then find the time taken by R and ltbegt Q together to complete the whole work?
Answer» <P>`2 1/3 days` `3 1/3 days` `1 1/3 days` `2 2/3 days` Solution :Let the EFFICIENCY of R and P be 3x and 2x unit/ day resectively Efficiency of Q = 6X units/ day Total work`= 12/5 xx2 XX 5x = 24x` units Required time `= (24x)/(9X) = 2 2/3` days

Discussion

8393.	The sum of four terms in G.P. is 312 . The sum of first and fourth term is 252. Find the product of second and third term :
Answer» 500 150 60 none of these Answer :A

Discussion

8394.	If the sum of the radius and the height of a closed cylinderis 35 cm and the total surface area of the cylinder is 1540 cm^(2), Then the circumference of the base of the cylinder is :
Answer» 66 cm 44 cm 56 cm can't be determined Answer :B

Discussion

8395.	Find the value of (logsqrt27+logsqrt8-logsqrt125)/(log6-log5):
Answer» `2/3` `1/3` `3/2` NONE of these Answer :C

Discussion

8396.	If cosectheta-sintheta=mandsectheta-costheta=n, then (m^(2)n)^((2)/(3))+(mn^(2))^((2)/(3))=?
Answer» 1 2 3 4 Answer :A

Discussion

8397.	Find minimum value of 2sin^(2)theta+32cosec^(2)theta.
Answer» ANSWER :2

Discussion

8398.	Study the following graph carefully and answer the questions that follow If the profit earnedby companyM in the year2008 was? 3.63 lak ,what was the amont of profitearned by it in the year 2006 ?
Answer» a.`2.16` LAKH B.`1.98` lakh C.`2.72 ` lakh d.Cannot be determined ANSWER :C

Discussion

8399.	The population of a town in the first year increases by 10% in the next year it decreases by 10%. Once again in the third year it icnrease by 10% and in the fourth year it decrease by 10%. If the present population be 20,000 then the population after four years will be :
Answer» 16902 19602 20000 none of these Answer :B

Discussion

8400.	How many 5 digit numbers divisible by 3 can be formed using the digits 0, 1, 2, 3, 4 and 5, without repetition?
Answer» 108 216 810 180 Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

If thepoints (p ,\ q),\ (m ,\ n)and (p-m ,\ q-n)arecollinear, show that p n=q m.

Find max & min value of 10+sinalpha+cosbeta.

Find the area of a quadrilateral with sides 17,25, 30 and 28 cm and one of its diagonal is 26 cm:

(sinA+sin3A+sin5A+sin7A)/(cosA+cos3A+cos5A+cos7A) is :

Find the perimeter of a regular octagon in inscribed in a circle of radius 100 cm:

The value of x for which log_(9)x - log_(9) (x/10 + 1/9) is:

whatis theprobabilitythat a numberselected fromthenumbers 1,2,3,….,20, isa primenumberwheneachofthe givennumbersisequallylikelyto beselected ?

Instead of dividing Rs 117 among A, B, C in the ratio (1)/(2) : (1)/(3) : (1)/(4) by mistake it was divided in the ratio 2 : 3 : 4. Who gained in the transaction & by how much?

A rectangular pool 20 metres wide and 60 metres long is surrounded by a walkway ofunifonn width. If the total area of the walkway is 516 square metres, how wide, in metres, is the walkway?

A completes (2)/(3) of a certain job in 6 days. B can complete (1)/(3) of the same job in 8 days and C can complete (3)/(4) of the work in 12 days. All of them work together for 4 days and then A and C quit. How long will it take for B to complete the remaining work alone?

Convert (35)_(10) into base 3.

An item was sold after giving two successive discount of 20% and 10% respectively, If the item was sold for₹ 468. The marked price of that item is :

Two chords AB and CD of a circle intersect at A, AB is the diameterand CDis botto AB .AE = 2 cm AB = 10 cm,Find value ofED.

Anjali fires two bullets from the same place at an interval of 6 minutes but Bhagwat sitting in a car approaching the place of firing herts the second fire 5 minutes 32 seconds after the first firing.What is the speed of car if the speed of sound is 332 m/s?

A class took two tests , onein Physics and otherin Maths ((1)/(3))^(rd) class failed in Mathsand (1)/(2)class failed in Physics . 60% of thoese passed in Physics also passed in Maths. If 300 students took both the teststhen how many students failed in both ?

Two items A and B are sold at a profit of 10% and 15% respectively. If the amount of profit received is the same, then the cost price of A and B may be?

find the value of the following expression cos^4theta-sin^4theta is :

A polygon has 54 diagonals. The number of sides in the polygon is:

A trader has a faulty balance that weighs 30% less than what it should weigh. Further he marks up the price of the goods by 16.67% and then he offers a discount of 10% on the marked price, what is his profit per cent?

In the given figure, BC=AC=AD, angleEAD=81^(@). Find the value of x :

A number consists of two digits. If the number formed by interchanging the digits is added to the original number, the resulting number (i.e. the sum) must be divisible by

If you want to save money you must get rid of shopping.

If x+ (1)/(x)= -1 findx^(12) + (1)/(x^(12)) = ?

f:{1,2,3,4,5}→{1,2,3,4,5} that are onto and f(i)≠i, is equal to

4182.395 /20.886 = ?

The ratio of CI for 3 years and SI for 1 year for a fixed amount at a rate of r% is 3.64. What is the value of r?

The sum of the length and breadth of a rectangle is 6 cm. A square is constructed such that one of its sides is equal to a diagonal of the rectangle. If the ratio of areas of the square and rectangle is 5 : 2, then the area (in cm^(2) )

The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has mate a prifit of 12%, then the cost price of the article.

ABC is an isosceles Delta, AB = AC. A circle passing throughB touchAC at mid point T and cut AB at P. find(AP)/(AB) ?

For n being a positive integer, how many values of n satisy 7^(21) le n^(28) le 3^(63) ?

When a number 'N' is divided by a proper divisor 'D' then it leaves a remainder of 14 and if the thrice of that number i.e. 3N is divided by the same divisor D, the remainder comes out to be 8. Again if the 4 times of the same number i.e., '4N' is divided by D the remainder will be :

Find the value of x that satisfy the inequation x^4-13x^2+36le0.

Which one of the following is greatest one?

Study the following graph carefully and answer the questions that follow If the profit earnedby company L in the year 2005 was ? 1.84 lak , what was the profit earned by the company in the year 2006 ?

Find the maximum area that can be enclosed in a triangle of perimeter 24 cm:

If m+ (1)/(m-2)=4, find m^(2) + m+1=?

A train travelling at a speed of 30m/scrosses a 600m long platfor min 30s.Find the length of the train.

R is 1.5 times as efficient as that of P, and Q takes half time as compared to that of R. If R and P takes 2 2/5 days to complete half of the work then find the time taken by R and ltbegt Q together to complete the whole work?

The sum of four terms in G.P. is 312 . The sum of first and fourth term is 252. Find the product of second and third term :

If the sum of the radius and the height of a closed cylinderis 35 cm and the total surface area of the cylinder is 1540 cm^(2), Then the circumference of the base of the cylinder is :

Find the value of (logsqrt27+logsqrt8-logsqrt125)/(log6-log5):

If cosectheta-sintheta=mandsectheta-costheta=n, then (m^(2)n)^((2)/(3))+(mn^(2))^((2)/(3))=?

Find minimum value of 2sin^(2)theta+32cosec^(2)theta.

Study the following graph carefully and answer the questions that follow If the profit earnedby companyM in the year2008 was? 3.63 lak ,what was the amont of profitearned by it in the year 2006 ?

The population of a town in the first year increases by 10% in the next year it decreases by 10%. Once again in the third year it icnrease by 10% and in the fourth year it decrease by 10%. If the present population be 20,000 then the population after four years will be :

How many 5 digit numbers divisible by 3 can be formed using the digits 0, 1, 2, 3, 4 and 5, without repetition?