8677 + Interview Questions in Maths in Class 14 Page 61 InterviewSolution

3001.	Find the soluations of the following equations.x^4-7x^2+12=0
Answer» SOLUTION :`_-^+ 2` and `_-^+SQRT3`

Discussion

3002.	If a = b^x, b=c^y, c=a^z then xyz is :
Answer» -1 0 1 abc Answer :C

Discussion

3003.	Last year Abhijeet's salary was₹ 10000 and Sonu's salary was ₹8000. This year Abhijeet 's salary is ₹ 12,000 while Sonu 's salary is ₹ 10,000.What is the percentage increase in Sonu's salary?
Answer» A) 10% B) 20% C) 25% D) 30% SOLUTION :`2/8 RARR 1/4 rarr 25%`

Discussion

3004.	Last year Abhijeet's salary was₹ 10000 and Sonu's salary was ₹8000. This year Abhijeet 's salary is ₹ 12,000 while Sonu 's salary is ₹ 10,000.What is the percentage increase in Abhijeet's salary?
Answer» A) 10% B) 20% C) 30% D) 40% SOLUTION :`(12000-10000)/10000 xx100 =20%`

Discussion

3005.	A plane figure is bounded by straight lines only. If n is the number of these lines, then the least value of n is :
Answer» 1 2 3 4 Answer :C

Discussion

3006.	If 85% of the S type cars produced in each year were sold by the company, how many S type cars remained unsold?
Answer» a.7650 b.9350 C.14475 d.12250 Answer :C

Discussion

3007.	The true discount on a certain sum of money due 10 yr hence is68 and the simple interest on the same sum for the same time and at the same rate of interest is102. Find the sum due.
Answer» ANSWER :RS. 204

Discussion

3008.	The maximum value of 5 + 20 x - 4x ^(2), whenis a real number is
Answer» 1 5 25 30 Answer :D

Discussion

3009.	Average weight of 17 players of a team is 22 kg. If aplayer leave the team then the average becomes 23 kg then find the weight of that player.
Answer» ANSWER :6 KG

Discussion

3010.	There are 35 students in a hostel. If the number of students increases by 7, then the expenses of the mess increased by Rs. 42 per day while the average expenditure per head diminishes by Re. 1. Find the original expenditure of the mess.
Answer» ANSWER :420

Discussion

3011.	Solve 42x^3y^2div7x^2y^2
Answer» SOLUTION :`(35x^3y^2)/(7x^2y^2)=5X`

Discussion

3012.	An equilateral triangle is cut from its three verticesto form a regular hexagon . What is the percentage of area wasted ?
Answer» `20%` `50%` `33.33%` `66.66%` ANSWER :C

Discussion

3013.	Find the value of 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)-(sin^(2)theta+cos^(2)theta)^(2)
Answer» 2 5 0 `-2` ANSWER :D

Discussion

3014.	Find the value of 4567 xx 1289.
Answer» SOLUTION :

Discussion

3015.	How many natural numbers upto 150 are divisible by 7?
Answer» 21 14 22 17 Answer :A

Discussion

3016.	The age of a person is thrice the total ages of his 2 daughters. 0.5 decades hence, his age will be twice of the total ages of his daughters. Then what is the father’s current age? [0.5 Decades = 5 Years]
Answer» a.35 years b.40 years c.45 years d. 47 years Answer :`14.28` %

Discussion

3017.	24 men can do a piece of work in 30 days. If the 4 men deny to work, then how many more days are required?
Answer» 32 day 36 days 35 days 28 days Answer :B

Discussion

3018.	P and Q do a project in 150 days and 100 days respecively. In how many days can they complete 60% of the project if they work together.
Answer» a. 12days B. 72days c. 42days d. 36days Answer :B

Discussion

3019.	If p,q,r,s be the distinct integers such that : f(p, q, r, s)=" maximum of "(p, q, r, s) g(p, q, r, s)="minimum of "(p, q, r, s) h(p, q, r, s)=" remainder when "-xxq" is divided by "rxxs" if "pxxq gt r xx s. =" remainder when "rxxs" is divided by" pxxq if r xxs gt pxxq Also, the same operations are valid with two variable functions of the form f(p,q) Also a function fgh(p, q, r, s) =f(p, q, r, s)xxg(p, q, r, s)xxh(p, q, r, s) What is the value of h(fg(2, 5, 7, 3), 9)?
Answer» 5 3 5 not defined Answer :C

Discussion

3020.	If p,q,r,s be the distinct integers such that : f(p, q, r, s)=" maximum of "(p, q, r, s) g(p, q, r, s)="minimum of "(p, q, r, s) h(p, q, r, s)=" remainder when "-xxq" is divided by "rxxs" if "pxxq gt r xx s. =" remainder when "rxxs" is divided by" pxxq if r xxs gt pxxq Also, the same operations are valid with two variable functions of the form f(p,q) Also a function fgh(p, q, r, s) =f(p, q, r, s)xxg(p, q, r, s)xxh(p, q, r, s) What is the value of h(3, 2, 8, 7)div g(4, 7,10, 8)?
Answer» 1 `1//2` 24 none of these Answer :B

Discussion

3021.	If p,q,r,s be the distinct integers such that : f(p, q, r, s)=" maximum of "(p, q, r, s) g(p, q, r, s)="minimum of "(p, q, r, s) h(p, q, r, s)=" remainder when "-xxq" is divided by "rxxs" if "pxxq gt r xx s. =" remainder when "rxxs" is divided by" pxxq if r xxs gt pxxq Also, the same operations are valid with two variable functions of the form f(p,q) Also a function fgh(p, q, r, s) =f(p, q, r, s)xxg(p, q, r, s)xxh(p, q, r, s) If A=h(3, 7, 6, 5), B=h(16, 11, 13, 3) C=h(9, 4, 8, 7), D=h(9, 14, 18, 7), then which of the following is true? (i) A gt B gt C gt D (ii) D gt A gt C (iii) A lt D lt B (iv) B=C lt D
Answer» only (i) is TRUE only (III) is true (II) and (iii) only (iii) and (IV) are true. Answer :B

Discussion

3022.	What is the greatest possible sum of the A.P. 17,14,11,…
Answer» 51 73 57 75 Answer :C

Discussion

3023.	If p,q,r,s be the distinct integers such that : f(p, q, r, s)=" maximum of "(p, q, r, s) g(p, q, r, s)="minimum of "(p, q, r, s) h(p, q, r, s)=" remainder when "-xxq" is divided by "rxxs" if "pxxq gt r xx s. =" remainder when "rxxs" is divided by" pxxq if r xxs gt pxxq Also, the same operations are valid with two variable functions of the form f(p,q) Also a function fgh(p, q, r, s) =f(p, q, r, s)xxg(p, q, r, s)xxh(p, q, r, s) What is the value of h(h(7,13,5,9), h(4,6,12,14)?
Answer» 1 `1//7` 7 not defined Answer :D

Discussion

3024.	The sum of n positive integers k_1, k_2, k_3,……..,k_n is an even number, then number of odd integers involve in the expression is :
Answer» odd even (n-1) NONE of these Answer :B

Discussion

3025.	If p,q,r,s be the distinct integers such that : f(p, q, r, s)=" maximum of "(p, q, r, s) g(p, q, r, s)="minimum of "(p, q, r, s) h(p, q, r, s)=" remainder when "-xxq" is divided by "rxxs" if "pxxq gt r xx s. =" remainder when "rxxs" is divided by" pxxq if r xxs gt pxxq Also, the same operations are valid with two variable functions of the form f(p,q) Also a function fgh(p, q, r, s) =f(p, q, r, s)xxg(p, q, r, s)xxh(p, q, r, s) If a_(k)xxb_(k) is an integral multiple of c_(k)xxd_(k) or c_(k) xx d_(k) is an integral multiple of a_(k)xxb_(k), which of the following is indeterminable ?
Answer» `f(G(a_(1), b_(1), c_(1), d_(1)), h(a_(2), b_(2), c_(2), d_(2)))` `h(h(a_(1), b_(1), c_(1), d_(1)), h(a_(2), b_(2), c_(2), d_(2)))` `h(HH(a_(1), b_(1), c_(1),d_(1)), g(a_(2), b_(2), c_(2),d_(1)))` none of these Answer :B

Discussion

3026.	A can do a piece of work in 10 days and B can do same work in 15 days. Both A and B start the work and after 3 days B left. In how many days will A do the remaining work?
Answer» ANSWER :5 DAYS

Discussion

3027.	ABCD is a square,AC=BD=4sqrt2 cm, AE=DE=2.5 cm. Find the area of the adjoining figure ABCDE:
Answer» `19 CM^(2) ` `22 cm^(2) ` `17 cm^(2) ` none of the above Answer :A

Discussion

3028.	A man goes 150 m due east and then 200 m due north. How far is he from the starting point ?
Answer» 200 m 350 m 250 m 175 m Answer :C

Discussion

3029.	ABCDEF is a regularhexagon.P,Q,R are mid points of side DE, AF and BC. Find the ratio of Area of DeltaPQR and hexagon.
Answer» A) 60 B) 20 C) 40 D) 15 Answer :`3 : 4 `

Discussion

3030.	Einstein goes from Ahemdabad to lucknow at the speed of 40 km/hr and returned at the speed of 60km/hr . The average speed of einstein during the whole journey is :
Answer» 48 km/hr 24 km/hr 50 km/hr None of the above Solution :`(2xx40xx60)/(40+60)`=4800/100=48 km/hr so the AVERAGE SPEED =40+(2/5)20=48km/hr

Discussion

3031.	A number nis said tobe perfect if the sum of all its divisors (excluding nitself) isequal to n. Anexample of perfect number is(a) 6 (b) 9 (c) 15 (d) 21
Answer» 9 15 21 6 Answer :D

Discussion

3032.	If tan2theta.tan4theta=1, find sin2theta+cos4theta=?
Answer» ANSWER :1

Discussion

3033.	Two liquids are mixed in the ratio 4:3 and the mixture is sold at Rs. 20 with a profit is 33 1/3 %. If the first liquid is costiler than the second by Rs. 7. Find the sum of costs of both the liquids
Answer» ₹11 ₹ 29 ₹ 35 ₹ 70 Answer :B

Discussion

3034.	Mr. A starts a business with an investment of Rs. 28,000. Mr. B joins the business after 5 months, After 2 more monthsMr. C joins. If the ratio of their profit after one year is 4:2:3, then find out the investments made by Mr. B and Mr. C in rupees? Options are (a) Rs. 20,000, Rs. 30,000 (b) Rs. 50,000, Rs. 20,000 (c) Rs. 12,000, Rs. 25,200 (d) Rs. 24000, Rs. 50,400.
Answer» a. 33600rs. b. 33000rs. C. 23000rs. d. NONE of the above Answer :C

Discussion

3035.	When {:((D)/(N)toR=14, "option " 5),((3D)/(N)toR=8,""6),((4D)/(N)toR=?,""8):}
Answer» 5 6 8 4 Answer :`=5`

Discussion

3036.	Radha borrowed Rs. 3500 from bank and returned Rs. 1500 after 3 years. After 5 years from starting she returned Rs. 2725 and settle her account. What was the rate of interest ?
Answer» ANSWER :0.05

Discussion

3037.	X covers 1 km in 8 min 40 s while Y covers the same distance in 10 min. By what distance does X defeat Y?
Answer» `13 1/3 m` `133 2/3 m` `133 2/5`m `133 1/3 m` ANSWER :D

Discussion

3038.	A circle of radius 10 cm has an equilateral triangle inscribed in it. The length of the perpendicular drawn from the centre to any side of the triangle is
Answer» `2.5sqrt(3)` CM 5 cm `10sqrt(3)` cm None of these Answer :D

Discussion

3039.	What is the total number of candidates clearing the entrance exam from states E and F together in the year 2006?
Answer» 16160 110660 1.1066 1106600 Answer :B

Discussion

3040.	Find the equation of line makes an angle 45^(@) with x- axis and passing through (7,9)
Answer» ANSWER :`x-y=-2`

Discussion

3041.	2sqrt(3/x) is :
Answer» a NATURAL number an INTEGER number a RATIONAL number an IRRATIONAL number Answer :D

Discussion

3042.	If the HCF and LCM of two consecutive (positive) even numbers be 2 and 84 respectively, then the sum of the numbers is:
Answer» 30 26 14 34 Answer :B

Discussion

3043.	Which of the following numbers will always divide a six-digit number of the form xyxyxy("where" 1 le x le 9, le y le 9) ?
Answer» 1010 10101 11011 11010 Answer :B

Discussion

3044.	("log"a^3/(bc)+"log"b^3/(ac)+"log"c^3/(ab)) is equal to :
Answer» 1 log abc abc none of these Answer :B

Discussion

3045.	sin^(2)alpha+cos^(2)beta=2 then tan((alpha+beta)/(2))=?
Answer» ANSWER :1

Discussion

3046.	We publish a monthly magazine of 84 pages. Once I found that in a magazine 4 pages were missing. One out of them was page number 29 it is known that the page number of the last page of the magazine is 84, (including the coverpages).The numbers printed on the missing pages were:
Answer» 29,52,53 30,55,56 28,52,53 can't be determined Answer :B

Discussion

3047.	If a^2=5a-3 and b^2=5b-3,(a neb) find the quadratic equation whose roots are a/b and b/a
Answer» `3x^2-19x+1=0` `2x^2=39x+27=0` `3x^2-19x+3=0` `3x^2+19x+3=0` ANSWER :C

Discussion

3048.	If Ruperts has 4 more coins than Laxmi has 1 more coin than Bill and Bill has 1 more coin than Hawkins. Finally Hawkins has 4 more coins than Ajim. Then minimum number of coins that must be transfered if all of them wish to have an equal number of coins :
Answer» a.25 B.23 c.20 d.None of these ANSWER :B

Discussion

3049.	A square is inscribed in a circlethen another circle is inscribed in the square . Another squareis then inscribed in the circle.Finally a circle is inscirbed in the innermostsquare . Thus there are 3 circlesand 2 squaresas shown in the figure . The radius of the outer - most circle is R . Whatis the sum of areas of all the squares shown in the figure ?
Answer» `3R^(2) ` `3sqrt(2)R^(2) ` `(3)/(SQRT(2)) R^(2) ` NONE of these ANSWER :A

Discussion

3050.	A square is inscribed in a circlethen another circle is inscribed in the square . Another squareis then inscribed in the circle.Finally a circle is inscirbed in the innermostsquare . Thus there are 3 circlesand 2 squaresas shown in the figure . The radius of the outer - most circle is R . What is the ratio ofsum of circumference of all the circles to the sum of perimeters of all the squares ?
Answer» `(2 + SQRT(3))PI R ` `(3 + sqrt(2)) pi R ` `3 sqrt(3) pi R ` none of these ANSWER :D

Discussion

Explore topic-wise InterviewSolutions in .

Find the soluations of the following equations.x^4-7x^2+12=0

If a = b^x, b=c^y, c=a^z then xyz is :

Last year Abhijeet's salary was₹ 10000 and Sonu's salary was ₹8000. This year Abhijeet 's salary is ₹ 12,000 while Sonu 's salary is ₹ 10,000.What is the percentage increase in Sonu's salary?

Last year Abhijeet's salary was₹ 10000 and Sonu's salary was ₹8000. This year Abhijeet 's salary is ₹ 12,000 while Sonu 's salary is ₹ 10,000.What is the percentage increase in Abhijeet's salary?

A plane figure is bounded by straight lines only. If n is the number of these lines, then the least value of n is :

If 85% of the S type cars produced in each year were sold by the company, how many S type cars remained unsold?

The true discount on a certain sum of money due 10 yr hence is68 and the simple interest on the same sum for the same time and at the same rate of interest is102. Find the sum due.

The maximum value of 5 + 20 x - 4x ^(2), whenis a real number is

Average weight of 17 players of a team is 22 kg. If aplayer leave the team then the average becomes 23 kg then find the weight of that player.

There are 35 students in a hostel. If the number of students increases by 7, then the expenses of the mess increased by Rs. 42 per day while the average expenditure per head diminishes by Re. 1. Find the original expenditure of the mess.

Solve 42x^3y^2div7x^2y^2

An equilateral triangle is cut from its three verticesto form a regular hexagon . What is the percentage of area wasted ?

Find the value of 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)-(sin^(2)theta+cos^(2)theta)^(2)

Find the value of 4567 xx 1289.

How many natural numbers upto 150 are divisible by 7?

The age of a person is thrice the total ages of his 2 daughters. 0.5 decades hence, his age will be twice of the total ages of his daughters. Then what is the father’s current age? [0.5 Decades = 5 Years]

24 men can do a piece of work in 30 days. If the 4 men deny to work, then how many more days are required?

P and Q do a project in 150 days and 100 days respecively. In how many days can they complete 60% of the project if they work together.

What is the greatest possible sum of the A.P. 17,14,11,…

The sum of n positive integers k_1, k_2, k_3,……..,k_n is an even number, then number of odd integers involve in the expression is :

A can do a piece of work in 10 days and B can do same work in 15 days. Both A and B start the work and after 3 days B left. In how many days will A do the remaining work?

ABCD is a square,AC=BD=4sqrt2 cm, AE=DE=2.5 cm. Find the area of the adjoining figure ABCDE:

A man goes 150 m due east and then 200 m due north. How far is he from the starting point ?

ABCDEF is a regularhexagon.P,Q,R are mid points of side DE, AF and BC. Find the ratio of Area of DeltaPQR and hexagon.

Einstein goes from Ahemdabad to lucknow at the speed of 40 km/hr and returned at the speed of 60km/hr . The average speed of einstein during the whole journey is :

A number nis said tobe perfect if the sum of all its divisors (excluding nitself) isequal to n. Anexample of perfect number is(a) 6 (b) 9 (c) 15 (d) 21

If tan2theta.tan4theta=1, find sin2theta+cos4theta=?

Two liquids are mixed in the ratio 4:3 and the mixture is sold at Rs. 20 with a profit is 33 1/3 %. If the first liquid is costiler than the second by Rs. 7. Find the sum of costs of both the liquids

When {:((D)/(N)toR=14, "option " 5),((3D)/(N)toR=8,""6),((4D)/(N)toR=?,""8):}

Radha borrowed Rs. 3500 from bank and returned Rs. 1500 after 3 years. After 5 years from starting she returned Rs. 2725 and settle her account. What was the rate of interest ?

X covers 1 km in 8 min 40 s while Y covers the same distance in 10 min. By what distance does X defeat Y?

A circle of radius 10 cm has an equilateral triangle inscribed in it. The length of the perpendicular drawn from the centre to any side of the triangle is

What is the total number of candidates clearing the entrance exam from states E and F together in the year 2006?

Find the equation of line makes an angle 45^(@) with x- axis and passing through (7,9)

2sqrt(3/x) is :

If the HCF and LCM of two consecutive (positive) even numbers be 2 and 84 respectively, then the sum of the numbers is:

Which of the following numbers will always divide a six-digit number of the form xyxyxy("where" 1 le x le 9, le y le 9) ?

("log"a^3/(bc)+"log"b^3/(ac)+"log"c^3/(ab)) is equal to :

sin^(2)alpha+cos^(2)beta=2 then tan((alpha+beta)/(2))=?

We publish a monthly magazine of 84 pages. Once I found that in a magazine 4 pages were missing. One out of them was page number 29 it is known that the page number of the last page of the magazine is 84, (including the coverpages).The numbers printed on the missing pages were:

If a^2=5a-3 and b^2=5b-3,(a neb) find the quadratic equation whose roots are a/b and b/a

If Ruperts has 4 more coins than Laxmi has 1 more coin than Bill and Bill has 1 more coin than Hawkins. Finally Hawkins has 4 more coins than Ajim. Then minimum number of coins that must be transfered if all of them wish to have an equal number of coins :