8677 + Interview Questions in Maths in Class 14 Page 148 InterviewSolution

7351.	The parabola intersects the X-axis at most
Answer» 4 times 3 times 2 times 1 time Answer :D

Discussion

7352.	If a,b,c are in A.P. b, c,d are in G.P. and c,d,e are in H.P., then which one of the following is true :
Answer» 2c=a+e `ae=c^2` c=2ae/a+e ab=de Answer :B

Discussion

7353.	A stairway of 20 ft height is such that each step account for half a foot upward and one foot forward. What distance will an ant travel if it strats from ground level to reach the top of the stairway ?
Answer» 59 60 58 none of these Answer :A

Discussion

7354.	Seven years ago, the average age of A, B and C was 51 years. If A is 3 years older than B and B is 3 years older than C then the present ages of A, B and C are (in years)
Answer» a. 61,58 and 55 B. 54,51 and 48 c. 54,57 and 60 d. NONE of these Answer :B

Discussion

7355.	The average of five consecutive even numbers is 40. What is the smallest of these numbers?
Answer» 24 36 35 40 Answer :D

Discussion

7356.	DSNL charges a fixed rental of ₹ 350 per month. It allows 200 calls free per month. Each call is charged at ₹ 1.4 when the number of calls exceeds 200 per month and it charges ₹ When the number of calls exceeds 400 per month andso on. A customer made 150 calls in February and 250 calls pin March. By how much per cent the each call is cheaper in ,March than each call in February?
Answer» 0.28 0.25 `18.5%` NONE of these ANSWER :A

Discussion

7357.	A regular hexagon is inscribed in a circle of radius 5 cm. If x is the area inside the circle but outside the regular hexagon, then which one of the following is correct?
Answer» `12 CM^(2) LT x lt 16 cm^(2)` `15 cm^(2) lt x lt 17 cm^(2)` `17 cm^(2) lt x lt 19 cm^(2)` `19 cm^(2) lt x lt 21 cm^(2)` Answer :A

Discussion

7358.	On selling an article for Rs. 155 a man bears loss of 16(2)/(3)% . Find the cost price of article
Answer» ANSWER :186 RS

Discussion

7359.	A man covered half of the distance at 3x km/h and rest at the 5x km/h.What is the average speed of man?
Answer» 4X km/h 3.5x km/h 3.75x km/h none of these Answer :C

Discussion

7360.	Two circles whose centres are A & B touches internally to each other as shown in figure their radii are 5 and 3 units respectively. The perpendicular bisector of AB meets at P and Q on the outer circle. Find the length of PQ.
Answer» 4√6 4 2√6 2 Answer :`4 SQRT(6)` CM

Discussion

7361.	An aeroplane when 3000 m high passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60^(@) and 45^(@) respectively. How many metres higher is the one than the other?
Answer» 1248 m 1188 m 1752 m 1268 m Answer :D

Discussion

7362.	If x is real, then find the minimum and maximum value of the following rational function f(x)=(x^2-3x+4)/(x^2+3x+4)
Answer» `1//7,7` `-1//7,7` `-1//7,-7` `-1,1//7` ANSWER :A

Discussion

7363.	A,B and C start runing a race from the same point P in the same direction A runs around a path which is an equilant triangle PQX and B runs around a square path PQYZ and C runs on the regular hexagonal path PQRSTU where the one side PQ of each point is common.if all of them complete one equal round at the same time then which of the following is true?
Answer» Speed of C is twice that of B Speed of A is half that of C Speed of B is 50% more than that of A None of the above Answer :B

Discussion

7364.	Solve abs(x-1) + abs(x-2) + abs(x-3)ge 6, x in R.
Answer» `0 LE X le 4` `x le 0 or x ge 4` `x le -2 or x ge 4` `x ge -2 or x le 4` Answer :B

Discussion

7365.	Two vessels P and Q contain 'a' litres of petrol and 'b' litres of kerosene respectively. 'c' litres of petrol and same quantity of kerosene is taken out and then transferred to Q and P respectively. This process is repeated several times. If after the first operation the quantity of petrol or kerosene in either of P and Q does not change. What is the value of 'c'?
Answer» (A) `(ab)/((a-B))` (B) `(2ab)/((a+b))` (C) `(ab)/((a+b))` (D) `(a/b)^2` Answer :C

Discussion

7366.	If the sum of the digits of any integer lying between 100 and 1000 is subtracted from the number, the result always is
Answer» DIVISIBLE by 6 divisible by 2 divisible by 9 divisible by 5 Answer :C

Discussion

7367.	What is the minimum value of the expression x^(2)+8x+10?
Answer» SOLUTION :`x^2+8x+10=x^2+8x+16-6` Now the smallest possible VALUE of the above EXPRESSION can be -6

Discussion

7368.	If a+b+c= 0, then (c )/(a+b) + (b)/(a+c) + (a)/(b + c)= ?
Answer» ANSWER :`-3`

Discussion

7369.	A circle C_1 with diameter 1//25 cm is tangent to X-axis at (2//5, 0) and the other circle with diameter 1//49 cm is tangent to X-axis at (3//7, 0). Moreover, these two circles are on the same side of X-axis and tangent to each other. There is another circle C_3 which is tangent to both of these circles and tangent to X-axis. Find, the distance between the Y-axis and the point of tangent of the circle C_3 on X-axis.
Answer» 26/35 57/144 17/36 35/84 Answer :D

Discussion

7370.	IF a +b+c=21, whatis thetotalnumber of non-negativeintegralsolutions ?
Answer» 123 253 321 231 Answer :B

Discussion

7371.	If the ratio of difference of S.I and C.I. for two years and 3 years is (4)/(13). Find the rate of interest.
Answer» ANSWER :0.25

Discussion

7372.	6 menand6 womenareto beseatedat acirculartablesuchthat notwowomenare adjacent, thenthe numberof arrangementsis
Answer» 86400 46800 12! `1/2(12!)` ANSWER :A

Discussion

7373.	A sum of money is lend at 15% per annum for 3 (1)/(2) years and same sum lend for 5 years at 15% per annum. If the difference of S.I. from both cases is Rs 144. Find the sum lend.
Answer» ANSWER :RS 640

Discussion

7374.	The sum of the divisors of 2^3 .3^4 .5^2 is:
Answer» 15625 1234 56265 56789 Answer :C

Discussion

7375.	If the side of a regular pentagon be 2 cm, find the circumference of the pentagon, in cm.
Answer» 1. 10cm 2. 15 cm 3. 20cm 4. 5 cm Answer :A

Discussion

7376.	On selling 23 articles a person gains profit equal to selling price of 3 articles. Find profit %.
Answer» ANSWER :15% PROFIT

Discussion

7377.	A drainage tile is a cylindrical shell 21 cm long. The inside and outside diameters are 4.5 cm and 5.1 cm, respectively. What is the volume of the clay required for the tile?
Answer» a. `6.96 TU cm^(3) ` B. `6.76 tu cm^(3) ` C. `5.76 tu cm^(3) ` d. None of these ANSWER :D

Discussion

7378.	The solution set of \|3-4x\| gt2 is:
Answer» `(7/4,OO)` `(-1/4,7/4)` `(-oo,1/4)UU(7/4,oo)` `(-oo,1/4)uu(5/4,oo)` ANSWER :D

Discussion

7379.	Arvind Singh purchased a 40 seater bus. He started his services on route no. 2 (from Terhipuliya to Charbagh with route length of 50 km). His profit (P) from the bus depends upon the no.of passangers over a certain minimum number of passangers n and upon the distance travelled by bus. His profit is Rs. 3600 will 29 passangers in the bus for a journey of 36 kmand Rs. 6300 when there are 36 passangers. travelled for 42 km. What is the minimum no. of passangers are required so that he will not suffer any loss?
Answer» 12 20 18 15 Answer :D

Discussion

7380.	A student of 5^(th) standard started writing down the counting number as 1,2,3,4,.. and then he added all those numbers and got the result 500 . But when I checkedthe resultI have found that he had missed a number. What is the missing number?
Answer» 25 32 30 28 Answer :D

Discussion

7381.	A and B enter into a partnership. A contributed 5000 for 8 months and B, 6000 for 5 months. Find A's share in a total profit of 8400.
Answer» 4800 2400 3600 none of these ANSWER :C

Discussion

7382.	An isosceles trapezium whose parallel sides are in the ratio 1:4. . If the sum of the two parallel sides is 70 cm,and perpendiculardistance between them is 12 cm find the area of trapezium.
Answer» 616 cm `420 cm` 140 cm none of these Answer :D

Discussion

7383.	Mohan gets a salary of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 months. How much salary he must have in the sixth month so that he gets an average of Rs. 6500?
Answer» RS. 3344 Rs. 3499 Rs. 4991 Rs. 4091 Answer :A

Discussion

7384.	solve the following expression(12)^3
Answer»

Discussion

7385.	If 75% of a number is added to 75, then the result is the number itself. The number is:
Answer» a. 50 b. 60 c. 300 d. 400 Answer :A

Discussion

7386.	Two ghats are located on a river bank and are 21 km apart. Leaving one of the ghats for the other, a motorboat returns to the first ghat in 270 minutes, spending 40 minutes of that time in taking the passengers at the second ghat. Find the speed of the boat in still water if the speed of the river flow is 2.5 km/h?
Answer» SOLUTION :N/A

Discussion

7387.	A publisher prints 2000 copies of a book for Rs 2400. He distributed 500 copies free. If he gives 25% discount and announces that he will give one book free on selling of 24 books. In this manner he sold all the books and M.P. of each book is 3.25 Rs than find his profit or loss?
Answer» ANSWER :`46(1)/(4)%`

Discussion

7388.	Simplify the following ratios:1/6:1/8
Answer» SOLUTION :1/6:1/8=`(1/6)/(1/8)=1/6xx8/1=4/3 or 4:3`

Discussion

7389.	(x+2)(x-5)(x-6)(x+1)=144:
Answer» `-1, -2, -3` `7, -3, 2` `2, -3, 5` NONE of these Answer :B

Discussion

7390.	Selling price of 25 articles is equal to cost price of 20 articles. Find profit/loss %.
Answer» 10% 15% 20% 25% Answer :20% Loss

Discussion

7391.	Rs . 6000 becomes Rs, 7200 in 4 years. If the rate becomes 1.5 times of itself, the amount of the same principal in 5 years will be
Answer» ANSWER :RS. 8250

Discussion

7392.	If n_1, n_2, n_3 ,……., n_k are such that, out of these k elements k/2 elements are even and rest are odd numbers. Which is necessarily even?
Answer» `(n_1+2n_2+3n_3+4n_4+…+k.n_k)` `n_1.n_2.n_3…n_(k/2+1)` `(n_1+n_3+n_5+n_7+…+n_(k-1)` `n_2+n_4+n_6+…+n_k` ANSWER :B

Discussion

7393.	Kareena can do a piece of work in 9 days and Karishma can do the same work in 18 days. They started the work. After 3 days Shahid joined them, who can complete alone the same whole work in 3 days. What is the total number of days in which they had completed the work?
Answer» 12 8 4 6 Answer :C

Discussion

7394.	A rectangular lawn 60 mxx40 m has two roads each 5 m wide running in the middle of in, one parallel to length and the other parallel to breadth. The cost of gravelling the roads at 80 paise per sq. m is:
Answer» `₹380` `₹385` `₹400` NONE of these Answer :A

Discussion

7395.	At wharton School every student is awarded with the grades A,B or C only. 57.1428571428 ………% students obtained 'A' grade while 26.4444….% students obtained 'B' grade. If there are less than 3500 students then the maximum number of students obtained the grade 'C' while no one is declared fail.
Answer» 517 533 428 can't be DETERMINED ANSWER :A

Discussion

7396.	If the equationsx^2+px+q=0 and x^2+qx+p=0 have a common root, which of the following can be the common root?
Answer» 1 `-1` `-2` `(-1)/2` ANSWER :A

Discussion

7397.	If 4x+3y=k,""2x+3y=12 and x+y=5 are concurrent lines then find k.
Answer» ANSWER :1

Discussion

7398.	Three maths classes : X, Y and Z, take an algebra test. The average score of class X is 83. Theaverage score of class Y is 76. The average score of class Z is 85. The average score of class X and Y is 79 and average score of class Y and Z is 81. What is the average score of classes X , Y, Z
Answer» ANSWER :81.5

Discussion

7399.	p^4-1296=0 q^2=sqrt (1296)
Answer» `pltq` `pgtq` `pleqq` `p=qorp_gt^ltq`

Discussion

7400.	Let a_1,a_2 ,…. , a_10be in A.P. and h_1,h_2 …. h_10be in H.P. Ifa_1=h_1=2 and a_10 = h_10 =3 , then a_4 h_7 is :
Answer» 2 3 5 6 Answer :D

Discussion

Explore topic-wise InterviewSolutions in .

The parabola intersects the X-axis at most

If a,b,c are in A.P. b, c,d are in G.P. and c,d,e are in H.P., then which one of the following is true :

A stairway of 20 ft height is such that each step account for half a foot upward and one foot forward. What distance will an ant travel if it strats from ground level to reach the top of the stairway ?

Seven years ago, the average age of A, B and C was 51 years. If A is 3 years older than B and B is 3 years older than C then the present ages of A, B and C are (in years)

The average of five consecutive even numbers is 40. What is the smallest of these numbers?

A regular hexagon is inscribed in a circle of radius 5 cm. If x is the area inside the circle but outside the regular hexagon, then which one of the following is correct?

On selling an article for Rs. 155 a man bears loss of 16(2)/(3)% . Find the cost price of article

A man covered half of the distance at 3x km/h and rest at the 5x km/h.What is the average speed of man?

Two circles whose centres are A & B touches internally to each other as shown in figure their radii are 5 and 3 units respectively. The perpendicular bisector of AB meets at P and Q on the outer circle. Find the length of PQ.

An aeroplane when 3000 m high passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60^(@) and 45^(@) respectively. How many metres higher is the one than the other?

If x is real, then find the minimum and maximum value of the following rational function f(x)=(x^2-3x+4)/(x^2+3x+4)

Solve abs(x-1) + abs(x-2) + abs(x-3)ge 6, x in R.

If the sum of the digits of any integer lying between 100 and 1000 is subtracted from the number, the result always is

What is the minimum value of the expression x^(2)+8x+10?

If a+b+c= 0, then (c )/(a+b) + (b)/(a+c) + (a)/(b + c)= ?

IF a +b+c=21, whatis thetotalnumber of non-negativeintegralsolutions ?

If the ratio of difference of S.I and C.I. for two years and 3 years is (4)/(13). Find the rate of interest.

6 menand6 womenareto beseatedat acirculartablesuchthat notwowomenare adjacent, thenthe numberof arrangementsis

A sum of money is lend at 15% per annum for 3 (1)/(2) years and same sum lend for 5 years at 15% per annum. If the difference of S.I. from both cases is Rs 144. Find the sum lend.

The sum of the divisors of 2^3 .3^4 .5^2 is:

If the side of a regular pentagon be 2 cm, find the circumference of the pentagon, in cm.

On selling 23 articles a person gains profit equal to selling price of 3 articles. Find profit %.

A drainage tile is a cylindrical shell 21 cm long. The inside and outside diameters are 4.5 cm and 5.1 cm, respectively. What is the volume of the clay required for the tile?

The solution set of |3-4x| gt2 is:

A student of 5^(th) standard started writing down the counting number as 1,2,3,4,.. and then he added all those numbers and got the result 500 . But when I checkedthe resultI have found that he had missed a number. What is the missing number?

A and B enter into a partnership. A contributed 5000 for 8 months and B, 6000 for 5 months. Find A's share in a total profit of 8400.

An isosceles trapezium whose parallel sides are in the ratio 1:4. . If the sum of the two parallel sides is 70 cm,and perpendiculardistance between them is 12 cm find the area of trapezium.

Mohan gets a salary of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 months. How much salary he must have in the sixth month so that he gets an average of Rs. 6500?

solve the following expression(12)^3

If 75% of a number is added to 75, then the result is the number itself. The number is:

A publisher prints 2000 copies of a book for Rs 2400. He distributed 500 copies free. If he gives 25% discount and announces that he will give one book free on selling of 24 books. In this manner he sold all the books and M.P. of each book is 3.25 Rs than find his profit or loss?

Simplify the following ratios:1/6:1/8

(x+2)(x-5)(x-6)(x+1)=144:

Selling price of 25 articles is equal to cost price of 20 articles. Find profit/loss %.

Rs . 6000 becomes Rs, 7200 in 4 years. If the rate becomes 1.5 times of itself, the amount of the same principal in 5 years will be

If n_1, n_2, n_3 ,……., n_k are such that, out of these k elements k/2 elements are even and rest are odd numbers. Which is necessarily even?

Kareena can do a piece of work in 9 days and Karishma can do the same work in 18 days. They started the work. After 3 days Shahid joined them, who can complete alone the same whole work in 3 days. What is the total number of days in which they had completed the work?

A rectangular lawn 60 mxx40 m has two roads each 5 m wide running in the middle of in, one parallel to length and the other parallel to breadth. The cost of gravelling the roads at 80 paise per sq. m is:

If the equationsx^2+px+q=0 and x^2+qx+p=0 have a common root, which of the following can be the common root?

If 4x+3y=k,""2x+3y=12 and x+y=5 are concurrent lines then find k.

Three maths classes : X, Y and Z, take an algebra test. The average score of class X is 83. Theaverage score of class Y is 76. The average score of class Z is 85. The average score of class X and Y is 79 and average score of class Y and Z is 81. What is the average score of classes X , Y, Z

p^4-1296=0 q^2=sqrt (1296)

Let a_1,a_2 ,…. , a_10be in A.P. and h_1,h_2 …. h_10be in H.P. Ifa_1=h_1=2 and a_10 = h_10 =3 , then a_4 h_7 is :