8677 + Interview Questions in Maths in Class 14 Page 8 InterviewSolution

351.	x^50+2x^37+p is divisible by (x+1) then the value of p is:
Answer» -3 -2 1 2 Answer :C

Discussion

352.	A function f(z_(1), z_(2), z_(3),.....z_(n))=f(z_(1), z_(2))+f(z_(2), z_(3),....,z_(n-1))+(z_(1)+z_(2)+....z_(n)), for n gt0 f(y, z)=f(z, 0)+f(0, y) f(y, 0)=y+f(y-1, 0) f(0, y)=y-f(0, y-1) f(0, 0)=1 Find the value of f(8, 8, 8, 2, 2, 2):
Answer» 22 88 77 66 Answer :C

Discussion

353.	A function f(z_(1), z_(2), z_(3),.....z_(n))=f(z_(1), z_(2))+f(z_(2), z_(3),....,z_(n-1))+(z_(1)+z_(2)+....z_(n)), for n gt0 f(y, z)=f(z, 0)+f(0, y) f(y, 0)=y+f(y-1, 0) f(0, y)=y-f(0, y-1) f(0, 0)=1 Find the value of f(1, 1,3, 1,1,3):
Answer» 17 28 21 none of these Answer :B

Discussion

354.	A function f(z_(1), z_(2), z_(3),.....z_(n))=f(z_(1), z_(2))+f(z_(2), z_(3),....,z_(n-1))+(z_(1)+z_(2)+....z_(n)), for n gt0 f(y, z)=f(z, 0)+f(0, y) f(y, 0)=y+f(y-1, 0) f(0, y)=y-f(0, y-1) f(0, 0)=1 f(9, 2, k, 0, 9, 4)=124, then the value of k is :
Answer» 0 5 9 none of these Answer :B

Discussion

355.	The last digit of the following expreesion is : (1!)^1 + (2!)^(2) + (3!)^(3) + (4!)^(4) + …(10!)^(10)
Answer» 3 4 7 8 Answer :C

Discussion

356.	Find the unit digit in the expression :(1!)^(1!) + (2!)^(2!) + (3!)^(3!) + ......................... +(100!)^(100!)
Answer» (a)7 (b)4 (c)6 (d)8 Answer :a

Discussion

357.	Find the unit digit in the expression :(3^576^417^63)
Answer» 3 4 6 9 Answer :d

Discussion

358.	Find the units digit in the expansion of (44)^44+(55)^55+(88)^88.
Answer» 3 4 9 8 Answer :C

Discussion

359.	If g(x)=x^(2) +x−1 and(gof)(x)=4x^(2) −10x+5, thenf(5/4 ) is equal to:
Answer» a. 3/2 B. -1/2 c. -3/2 d. NONE of these Answer :B

Discussion

360.	Which one of the following is a correct statement?
Answer» When roots are REAL, these are DEFINITELY equal. When roots are rational, these are definitely real. When roots are unequal, these are definitely complex roots. When roots, MAKE the CONJUGATE pair, these are either real or complex ones. Answer :D

Discussion

361.	if log_(a) N = (log_(b)N) xx P, then find P in terms of a and b,
Answer» `b^a` `a^b` `log_ab` NONE of these Answer :C

Discussion

362.	Find max^(m)&min^(m) value of 32sin^(2)alpha+43cos^(2)alpha.
Answer» ANSWER :32

Discussion

363.	(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))=? (x is in IV quadrant)
Answer» `(x)/(2)` `TAN""(x)/(2)` `SEC""(x)/(2)` `cosec""(x)/(2)` ANSWER :A::B

Discussion

364.	A child while going to school reduces his speed to 7/11 of his initial speed and reaches in 22 hours. If he had walked at his initial speed then how much time had he saved.
Answer» ANSWER :8 HRS.

Discussion

365.	For the quadratic equationx^2+9x+18=0, what will be the position of the vertex of the quadratic graph with reference to the origin (or intersection of both the axes)?
Answer» `9//2` UNITS LEFT,`9//4` units below `9//2` units left, `9//4` units above 9 units RIGHT, 81 units below 9 units right, 9 units below Answer :A

Discussion

366.	Find the 40th term of the progression 3,8,13,18,……
Answer» 102 198 304 none of these Answer :B

Discussion

367.	Consider a cylinder of height h cm andradius r=(4)/(pi) cm as shown in figure Astring of certain length when wound on its cylindrical surface , starting at point A, gives a maximum of n turns . Whatis the vertical spacing ( in cm ) between two consecutive turns ?
Answer» `H/N` (sqrt(h))/(n)` `(h^(2))/(n) ` can't be DETERMINED Answer :A

Discussion

368.	If * means adding 6 times the second number tothe first number, then (1* 2 ) * 3 equals21(b) 31 (c)91 (d) 93
Answer» 121 31 93 91 Answer :B

Discussion

369.	Two circles with radii 5 cm and 8 cm touch each other externally at a point A. If a straight line through the point A cuts the circles at points P and Q respectively, then AP : AQ is
Answer» `8 : 5` `5 : 8` `3 : 4` `4 : 5` Answer :B

Discussion

370.	What is the angle between hour hand and minute hand at 2:25 pm?
Answer» `77.5^@` `68^@` `67.5^@` NONE of these Answer :A

Discussion

371.	The number of zeros which are not possible at the end of the n! is:
Answer» A.82 B.73 C.156 D.none Answer :B

Discussion

372.	If log_(5)x =y, then 5^(5y) is equal to
Answer» `x/5` 5X `log_x5` `x^5` ANSWER :D

Discussion

373.	The radius of the base of a right cone is 35 cm and its height is 84 cm. Find : slant height
Answer» Solution :Slant height(L) = `sqrt(R^2+H^2)` `(r to radius of the circular base)` `(h to height of the cone)` =`sqrt(35^2+84^2)` =`sqrt(1225+7056)` =`sqrt(8281) = 91CM`

Discussion

374.	The following is a horizontal bar diagram showing the accidents in which two - wheelers are involved with other objects. Study the diagram and answer the question. कुल दुर्घटनाओं का 60% निम्न वाहनों से होता है ।
Answer» 54, more 54, LESS 77, more 77, less Answer :B

Discussion

375.	Eight indentical coins are arranged in a row. The total number of ways in which the number of heads is equal to the number of tails, is :
Answer» 35 15 140 70 Answer :D

Discussion

376.	53.08bar53 div 6
Answer» SOLUTION :`(53 + 0.08bar53)/6 = 105109/11880 = 8.847558922558922558922 = 8.844bar558922`

Discussion

377.	Let a_1, a_2, a_3,,a_(100)be an arithmetic progression with a_1=3a n ds_p=sum_(i=1)^p a_i ,1lt=plt=100.For any integer nwith 1lt=nlt=20 ,letm=5ndotIf (S_m)/(S_n)does not depend on n ,then a_2is__________.
Answer» 10 9 5 -1 Answer :B

Discussion

378.	30% of a number is 225. Find the number.
Answer» Solution :`30% =225 implies 10% =75 implies 100% =750` THEREFORE , the required number is 750.

Discussion

379.	If the lateral surface of right circular cone is 2 times its base , then the semi-vertical angle of the cone must be :
Answer» `15^@` `30^@` `45^@` `60^@` Answer :B

Discussion

380.	A={2,3,5,7,11,...89,97} B={4,6,8,10,12,...98,100} C={3,9,15,21,27,33...,99} If an element greater than 50 of Set Cis also included in the Set B,then the average of B :
Answer» DECREASES by 3 increases by 2 decreases by 1 can't be determind Answer :C

Discussion

381.	A person divides a certain amount among his three sons in the ratio of 2 : 3 : 8. If he had divided this amount in the ratio of 1/2 : 1/3:1/8, then the son getting the lowest amount would have got Rs. 2200 more. What is the total amount ( in Rs ) ? एक व्यक्ति एक निश्चित राशि को अपने तीन पुत्रों में 2:3:8 के अनुपात में बांटता है \| यदि उसने इस राशि को 1/2 : 1/3:1/8 के अनुपात में बांटा होता, तो जिस पुत्र को सबसे कम राशि प्राप्त हुई थी, उसे Rs. 2200 अधिक प्राप्त होते \| कुल राशि (Rs. में) कितनी थी?
Answer» B A C D ANSWER :B

Discussion

382.	If f(x)=(a-x^(n))^(1//n) where a gt 0 and n in N , then f[f(x)] is equal to :
Answer» `x^(n)` `SQRT(x^(4)-1)` 0 none of these Answer :D

Discussion

383.	O and O' are the centres of circle of radii 20 cm and 30 cm AB = 24 cm. What is the distance O O' ?
Answer» 51 cm 45 cm 35 cm 48 cm Answer :A

Discussion

384.	If xy + yz + zx = 1 find (x+y)/(1-xy) + (y+z)/(1-yz) + (z + x)/(1-zx)= ?
Answer»

Discussion

385.	Find the sum of all the integers between 55 and 555 which are divisible by 7:
Answer»

Discussion

386.	The value of "log"_36(1)/(216) is :
Answer» `2/3` `-3/2` `1/6` NONE of these Answer :B

Discussion

387.	Find the amount of Rs. 2500 invested at 12% during the period from 4^(th) February , 2005 to 18 April 2005 :
Answer» ₹ 3000 ₹ 3800 ₹ 2560 ₹ 2600 Answer :C

Discussion

388.	If (3)/((x+2)(2x+1))=(a)/(2x+1)+(b)/(x+2) then b= ?
Answer» 0 `-1` 2 3 Answer :B

Discussion

389.	If (tantheta+cottheta)/(tantheta-cottheta)=2,(0^(@)lethetale90^(@)), then the value of sintheta is
Answer» `(2)/(sqrt(3))` `(sqrt(3))/(2)` `(1)/(2)` 1 Answer :B::C

Discussion

390.	A boat has to travel upstream 20 km distance from point X of a river to point Y. The total time taken by boat in travelling from point X to Y and Y to X is 41 min 40 s. What is the speed of the boat?
Answer» a. 66 km/h B. 72 km/h c. 48 km/h d. Cannot be determined Answer :D

Discussion

391.	An integer is divisible by 16 if and only if its last X digits are divisible by 16. The value of X would be:
Answer» THREE four five SIX ANSWER :B

Discussion

392.	A person goes to his office at 1/3rd of the speed at which he returns from his office if the average speed during the whole trip(i.e, one round)is 12 km/h.What is the speed of the person while he was going to his office?
Answer» 10 6 8 can't be determined Answer :C

Discussion

393.	The probability that A can solve problem is 2/3 and the probability that B can solve the same problem is 3/5. Find the probability that one of A and B will be able to solve the problem.
Answer» `12/19` `13/15` `19/45` NONE of these Answer :B

Discussion

394.	For -3gtxgt2,find the range of y= -3x^2+10x-21
Answer» `(-78,-13)` `[-78,-13]` `{-78,-13}` NONE of these Answer :A

Discussion

395.	A dairyman pays Rs.6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 perlitre, thereby making 37.5% profit. The proportion of water to milk receivedby the customers isa.b.c.d.
Answer» ANSWER :`1:10`

Discussion

396.	A mixture of rise is sold at rs 3.00 per kg. This mixture is formed by mixing the rise of rs 2.10 and rs 2.52 per kg. What is the ratio of price of cheaper to the costlier quality in the mixture if the profit of 25% is being earned.
Answer» 5:2 2:7 2:5 15:8 Answer :C

Discussion

397.	H2O is chain of salons, employing one hair stylist at each salon. It has got centralized system in place to provide appointments through phone calls for all its 6 salons located in different areas in Pune. A family of four seeking the appointment for all its members for the hair cut. On a particular day, in how many ways the salon can give the appointments to them?
Answer» A) 3024 B) 2524 C) 3384 D) 3084 Answer :A

Discussion

398.	If (x^11+1) is divided by (x-1) then the remainder is
Answer» 0 2 1 10 Answer :B

Discussion

399.	The value of (ax^(1//4) + 3a^(1//2)x^(1//2) + 4x^(3//4))(a - 3a^(1//2)x^(1//4) + 4x^(1//2)) is :
Answer» `a^2x^(1//4( - AX^(3//4) + 16X^(5//4)` `ax^2 + X^(3//4) + 9X^(1//4)` 0 1 Answer :A

Discussion

400.	Find the smallest no . Which is divided by 25,15,30 and leaves remainder 21,11,26resp.
Answer» ANSWER :`=146`

Discussion

Explore topic-wise InterviewSolutions in .

x^50+2x^37+p is divisible by (x+1) then the value of p is:

A function f(z_(1), z_(2), z_(3),.....z_(n))=f(z_(1), z_(2))+f(z_(2), z_(3),....,z_(n-1))+(z_(1)+z_(2)+....z_(n)), for n gt0 f(y, z)=f(z, 0)+f(0, y) f(y, 0)=y+f(y-1, 0) f(0, y)=y-f(0, y-1) f(0, 0)=1 Find the value of f(8, 8, 8, 2, 2, 2):

A function f(z_(1), z_(2), z_(3),.....z_(n))=f(z_(1), z_(2))+f(z_(2), z_(3),....,z_(n-1))+(z_(1)+z_(2)+....z_(n)), for n gt0 f(y, z)=f(z, 0)+f(0, y) f(y, 0)=y+f(y-1, 0) f(0, y)=y-f(0, y-1) f(0, 0)=1 Find the value of f(1, 1,3, 1,1,3):

A function f(z_(1), z_(2), z_(3),.....z_(n))=f(z_(1), z_(2))+f(z_(2), z_(3),....,z_(n-1))+(z_(1)+z_(2)+....z_(n)), for n gt0 f(y, z)=f(z, 0)+f(0, y) f(y, 0)=y+f(y-1, 0) f(0, y)=y-f(0, y-1) f(0, 0)=1 f(9, 2, k, 0, 9, 4)=124, then the value of k is :

The last digit of the following expreesion is : (1!)^1 + (2!)^(2) + (3!)^(3) + (4!)^(4) + …(10!)^(10)

Find the unit digit in the expression :(1!)^(1!) + (2!)^(2!) + (3!)^(3!) + ......................... +(100!)^(100!)

Find the unit digit in the expression :(3^57*6^41*7^63)

Find the units digit in the expansion of (44)^44+(55)^55+(88)^88.

If g(x)=x^(2) +x−1 and(gof)(x)=4x^(2) −10x+5, thenf(5/4​ ) is equal to:

Which one of the following is a correct statement?

if log_(a) N = (log_(b)N) xx P, then find P in terms of a and b,

Find max^(m)&min^(m) value of 32sin^(2)alpha+43cos^(2)alpha.

(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))=? (x is in IV quadrant)

A child while going to school reduces his speed to 7/11 of his initial speed and reaches in 22 hours. If he had walked at his initial speed then how much time had he saved.

For the quadratic equationx^2+9x+18=0, what will be the position of the vertex of the quadratic graph with reference to the origin (or intersection of both the axes)?

Find the 40th term of the progression 3,8,13,18,……

Consider a cylinder of height h cm andradius r=(4)/(pi) cm as shown in figure Astring of certain length when wound on its cylindrical surface , starting at point A, gives a maximum of n turns . Whatis the vertical spacing ( in cm ) between two consecutive turns ?

If * means adding 6 times the second number tothe first number, then (1* 2 ) * 3 equals21(b) 31 (c)91 (d) 93

Two circles with radii 5 cm and 8 cm touch each other externally at a point A. If a straight line through the point A cuts the circles at points P and Q respectively, then AP : AQ is

What is the angle between hour hand and minute hand at 2:25 pm?

The number of zeros which are not possible at the end of the n! is:

If log_(5)x =y, then 5^(5y) is equal to

The radius of the base of a right cone is 35 cm and its height is 84 cm. Find : slant height

The following is a horizontal bar diagram showing the accidents in which two - wheelers are involved with other objects. Study the diagram and answer the question. कुल दुर्घटनाओं का 60% निम्न वाहनों से होता है ।

Eight indentical coins are arranged in a row. The total number of ways in which the number of heads is equal to the number of tails, is :

53.08bar53 div 6

Let a_1, a_2, a_3,,a_(100)be an arithmetic progression with a_1=3a n ds_p=sum_(i=1)^p a_i ,1lt=plt=100.For any integer nwith 1lt=nlt=20 ,letm=5ndotIf (S_m)/(S_n)does not depend on n ,then a_2is__________.

30% of a number is 225. Find the number.

If the lateral surface of right circular cone is 2 times its base , then the semi-vertical angle of the cone must be :

A={2,3,5,7,11,...89,97} B={4,6,8,10,12,...98,100} C={3,9,15,21,27,33...,99} If an element greater than 50 of Set Cis also included in the Set B,then the average of B :

If f(x)=(a-x^(n))^(1//n) where a gt 0 and n in N , then f[f(x)] is equal to :

O and O' are the centres of circle of radii 20 cm and 30 cm AB = 24 cm. What is the distance O O' ?

If xy + yz + zx = 1 find (x+y)/(1-xy) + (y+z)/(1-yz) + (z + x)/(1-zx)= ?

Find the sum of all the integers between 55 and 555 which are divisible by 7:

The value of "log"_36(1)/(216) is :

Find the amount of Rs. 2500 invested at 12% during the period from 4^(th) February , 2005 to 18 April 2005 :

If (3)/((x+2)(2x+1))=(a)/(2x+1)+(b)/(x+2) then b= ?

If (tantheta+cottheta)/(tantheta-cottheta)=2,(0^(@)lethetale90^(@)), then the value of sintheta is

A boat has to travel upstream 20 km distance from point X of a river to point Y. The total time taken by boat in travelling from point X to Y and Y to X is 41 min 40 s. What is the speed of the boat?

An integer is divisible by 16 if and only if its last X digits are divisible by 16. The value of X would be:

A person goes to his office at 1/3rd of the speed at which he returns from his office if the average speed during the whole trip(i.e, one round)is 12 km/h.What is the speed of the person while he was going to his office?

The probability that A can solve problem is 2/3 and the probability that B can solve the same problem is 3/5. Find the probability that one of A and B will be able to solve the problem.

For -3gtxgt2,find the range of y= -3x^2+10x-21

A dairyman pays Rs.6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 perlitre, thereby making 37.5% profit. The proportion of water to milk receivedby the customers isa.b.c.d.

A mixture of rise is sold at rs 3.00 per kg. This mixture is formed by mixing the rise of rs 2.10 and rs 2.52 per kg. What is the ratio of price of cheaper to the costlier quality in the mixture if the profit of 25% is being earned.

If (x^11+1) is divided by (x-1) then the remainder is

The value of (ax^(1//4) + 3a^(1//2)x^(1//2) + 4x^(3//4))(a - 3a^(1//2)x^(1//4) + 4x^(1//2)) is :

Find the smallest no . Which is divided by 25,15,30 and leaves remainder 21,11,26resp.

Find the unit digit in the expression :(3^576^417^63)

If g(x)=x^(2) +x−1 and(gof)(x)=4x^(2) −10x+5, thenf(5/4 ) is equal to: