8677 + Interview Questions in Maths in Class 14 Page 73 InterviewSolution

3601.	For a quadratic equation ax^2+bx+c=0 , if you have double roots and positive coefficient of x^2, then the minimum value of y is
Answer» any NEGATIVE REAL number the lowest negative number the lowest WHOLE number cannot be determined Answer :C

Discussion

3602.	If p:q=3:2 and q:r=6:5 then p:q:r is equal to
Answer» 9:6:5 9:6:10 3:3:5 3:6:5 Answer :A

Discussion

3603.	Consider the following(i) (cos^(2) theta- sin^(2) theta)/(cos^(2) theta + sin^(2) theta) = cos^(2) theta (1 + tan theta) (ii) (1 + sin theta)/(1 - sin theta)= (tan theta + sec theta)^(2) Which of the equation given above is/are correct ?
Answer» Only (i) Only (II) Both (i) and (ii) NEITHER (i) nor (ii) ANSWER :C

Discussion

3604.	A trader sells two brands of petrol, one is Extra Premium (EP) and other one is ‘Speed’ (SP). He mixes 12 litres of EP with 3 litres of speed and by selling this mixture at the price of EP he gets die profit of 9.09%. If the price of Extra Premium be ₹ 48 per litre, then the price of Speed (SP) is:
Answer» ₹ 38 PER litre ₹ 42 per litre ₹ 28 per litre none of these Answer :C

Discussion

3605.	If x+ (1)/(x)=3, then x^(3) + (1)/(x^(3))=?
Answer» ANSWER :18

Discussion

3606.	If b is the largest square divisor of c and a then which one of the following is correct? (where a,b and c are intigers)
Answer» B DIVIDES a a does not DIVIDE b a divides b a and b are coprime Answer :C

Discussion

3607.	The no of real solutions of the equation (15 + sqrt(14))^t + (15 - sqrt(14))^t = 30 are where t = x^2 - 2\|x\|
Answer» 0 2 4 6 Answer :C

Discussion

3608.	sqrt(36x) + sqrt(64) = 0 sqrt(81y) + (4)^(2) = 0
Answer» `x GT y` ` x lt y` ` x ge y` ` x le y` SOLUTION :` sqrt(36x)+sqrt(64) = 0` ` 6sqrt(x)+8 =0` ` sqrt x =- -1.33` ` sqrt(81y+(4)^(2) = 0` ` 9sqrt y + 16 = 0` ` SQRTY =- 1.77`

Discussion

3609.	If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are also in A.P. then
Answer» 2 3 `log_2 3` `log_2 5` ANSWER :B

Discussion

3610.	A merchant has 2000 kg of rice, one part of which he sells at 36%profit and the rest at 16% profit.He gains 28% on the whole.Find the quantity sold at 16%.
Answer» 400 kg 300 kg 900 kg 800 kg Answer :D

Discussion

3611.	Find the no. of zeros in expression :1 × 3 × 5 × 7 .......... × 99
Answer» 24 12 10 0 Answer :d

Discussion

3612.	Find the no. of zeros in expression :1 × 2 × 3 × 4 .......... × 500
Answer» 124 125 130 135 Answer :a

Discussion

3613.	For x in R, let [x] denote the largest integer less than or equal to x, then the value of : E=[1/3]+[1/3 +1/(100)]+[1/3 +(2)/(100)]+.....+ [(1)/(3) +(99)/(100)] is
Answer» 22 66 33 none of these Answer :C

Discussion

3614.	The sum of first p- terms terms of an A.P. is q and the sum of first q terms is p, find the sum of first (p + q)
Answer» pqr p-q (-(p+q)) 0 Answer :C

Discussion

3615.	If the average of x, y and 36 is 24, then find the average of x and y.
Answer» 10 15 17 18 Answer :26 PAGES

Discussion

3616.	Of the three numbers, the second is twice the first and it is also thrice the third. If the average of three numbers is 44, the difference of the first number and the third number is
Answer» 24 18 12 6 Answer :C

Discussion

3617.	Assuming that A, B and C are different single-digit numerical values other than what is already used in the following equation, what number C definitely cannot be? 8A2 + 3B5 + C4 = 1271
Answer» A) 3599.34 B) 699.34 C) 3958.34 D) 999.34 Answer :D

Discussion

3618.	Two numbers are in the ratio 3 : 4. If their LCM is 240, the smaller of the two number is:
Answer» 100 80 60 50 Answer :C

Discussion

3619.	The square root of 7744 is :
Answer» 94 88 77 none of these Answer :B

Discussion

3620.	A and C can finish a work in 40 days. They worked at it for 10 days and then A left. The remaining work is done by C alone in 30 more days. How long will it take C to finish the work alone?
Answer» 30 days 22 days 40 days 25 days Answer :C

Discussion

3621.	A lid of rectangularbox of sides 39.5 cm by 9.35 cm is sealed all around with tape such that there is an overlapping of 3.75 cm of the tape. Which is the length of the tapeused ?
Answer» 111.54 cm 101.45 cm 110.45 cm none ofthese Answer :B

Discussion

3622.	Let f: NrarrR, f(x)=2x-1g:zrarrR, g(x)=x^2/2, then (gof) (0) is :
Answer» `1/2` 44198 1 none of these Answer :D

Discussion

3623.	A committee of 7 persons is tobe chosenfrom 13personsofwhom6 areamericansand 7 andindiansinhowmanyways can theselectionbe madeso asto retaina majorityof indians?
Answer» 945 1057 923 1056 Answer :B

Discussion

3624.	DeltaABC and DeltaDBC have a common base and drawn towards one sides. angleBAC = angleBDC = 90^(@). If AC and DB intersect at P, then:
Answer» `APxxPC=BPxxPD` `APxxBP=PCxxPD` `APxxPD=PCxxBP` NONE of these Answer :A

Discussion

3625.	The ratio of age 4 Aman and her mother is 3:11. the difference of their ages is 24 years. What will be the ratio of their ages after 3 years?
Answer» Solution :Let the present age of AMAN and her mother be 3X and 11x then 3 years later their AGES will be (3x+3)and (11x+3) RESPECTIVELY `12=Kfrac6\2impliesK=4` Again `A=KfracBC=4xx12/3=16impliesA=16`

Discussion

3626.	A girl 1.2 metre tall casts a shadow 1.1 m at the time when a building casts a shadow 6.6 m long. The height of the building is
Answer» 2.7 m 7.2 m 6.0 m 5.5 m Answer :B

Discussion

3627.	Onecardis drawnfroma packof52cards, eachof the52cardsbeing equallylikely to bedrawn. Findthe probabilitythat the carddrawnis neitheran acenoraking .
Answer» 0 `9/13` `1/2` `4/13` ANSWER :B

Discussion

3628.	Onecardis drawnfroma packof52cards, eachof the52cardsbeing equallylikely to bedrawn. Findthe probabilitythat the carddrawn is either a heart , aqueenor a king .
Answer» `17/52` `21/52` `19/52` `9/12` ANSWER :C

Discussion

3629.	Onecardis drawnfroma packof52cards, eachof the52cardsbeing equallylikely to bedrawn. Findthe probabilitythat the carddrawn iseitherking or aqueen .
Answer» `5/26` `1/13` `2/13` `12/13` ANSWER :C

Discussion

3630.	Onecardis drawnfroma packof52cards, eachof the52cardsbeing equallylikely to bedrawn. Findthe probabilitythat the carddrawnis eitherblackor a queen .
Answer» `15/26` `13/17` `7/13` `15/26` ANSWER :C

Discussion

3631.	Onecardis drawnfroma packof52cards, eachof the52cardsbeing equallylikely to bedrawn. Findthe probabilitythat the card drawn is black and a queen .
Answer» `1/13` `1/52` `1/26` `5/6` ANSWER :C

Discussion

3632.	Onecardis drawnfroma packof52cards, eachof the52cardsbeing equallylikely to bedrawn. Findthe probabilitythat the carddrawnis a queen .
Answer» `1/12` `1/13` `1/4` `3/4` ANSWER :B

Discussion

3633.	Onecardis drawnfroma packof52cards, eachof the52cardsbeing equallylikely to bedrawn. Findthe probabilitythat the carddrawnisblack .
Answer» `1/2` `1/4` `8/13` can't be determine Answer :A

Discussion

3634.	A={2,3,5,7,11,...89,97} B={4,6,8,10,12,...98,100} C={1,9,15,21,25,27,33...95,99} The average of all the elements of A,B and C is :
Answer» 49.5 50.5 55 none of these Answer :B

Discussion

3635.	There are 60 workers who arefor M/s. Nottam Dibbawala Pvt. Ltd, Mumbai, outof which 25 are women . Alos : (i) 28 wrokers are married . (ii) 26 workers are graduate . (iii) 20 workers are graduate and married out which 9 are men . (iv) 15 menare graduate . (v) 15 men are married .How many unmarried womenwork in the company ?
Answer» 11 12 9 none of these Answer :B

Discussion

3636.	If (cosalpha)/(cosbeta)=m and (cosalpha)/(sinbeta)=n, find (m^(2)+n^(2))cos^(2)beta
Answer» ANSWER :`N^(2)`

Discussion

3637.	If the lengths of the sides of a triangle are in the ratio 4:5:6 and the inradius of the triangle is 3 cm, then the altitude of the triangle corresponding to the largest side as base is :
Answer» ANSWER :7.5

Discussion

3638.	The average expenditure of Sarvesh for the January to June is Rs. 4200 and the spents Rs. 1200 in January and Rs. 1500 in July. The average expenditure for the months of February to July is :
Answer» RS. 4250 Rs. 4520 Rs. 4060 none of these Answer :A

Discussion

3639.	1.5xx78div0.5=?
Answer» 238 234 243 216 Solution :`?=(1.5xx78)/(0.5)=234`

Discussion

3640.	If each interior angle of a regular polygon is 3 times its exterior angle, the number of sides of the polygon is :
Answer» 4 5 6 8 Answer :D

Discussion

3641.	Kamlesh, the sulochan boy, has 100 identical matchsticks. How many distinct rectangles can he form using at most 100 matchsticks?
Answer» 1225 625 25 none of these Answer :B

Discussion

3642.	If f(x)=" min "(4x+3, x+4)" for "x in [0, 2], what is the maximum value of f(x)?
Answer» SOLUTION :f(x)=min(4x+3,x+4) is an INCREASING FUNCTION for EVERY `xin[0,2]` It means the value of f(x) increases as x increases at x=2, f(x) will be maximum `f(x)_max=min(11,6)` at x=2 6 Hence, the maximum value of the function is 6.

Discussion

3643.	Two articles are sold at the same price. One at A profit of 75% and another one at a loss of 30%. What is the, overall profit or loss?
Answer» `22.5%` PROFIT `57.5%` profit `13(2)/7%` loss none of these Answer :D

Discussion

3644.	ABCD is a square of side a cm. AB,BC,CD and Which of the following all are the chords of circles with equal radii each . If the chords subtends and angle of120^(@) at their respectivecentres , find the total area of the given figure , where arcsare part of the circles:
Answer» a. `[a^(2) + 4((pia^(2))/(9)-(a^(2))/(3 sqrt(2)))]` B. `[a^(2)+ 4((PI a^(2))/(9) - (a^(2))/(4 sqrt(3)))]` c. `[9a^(2) - 4 pi + 3sqrt(3) a^(2)]` d. NONE of these ANSWER :B

Discussion

3645.	At Technosys Pvt Ltd. there are some engineering students employed as trainee engineers, belong to two eminent institutions of India. One group belong to MIT and another to NIT. Each student of MIT works for 10 hours a day till 60 days and each student ofNIT works for 8 hours till 80 days on the two same projects. The ratio of number of students of MIT and that of NIT is 4 : 5 respectively. Students of which institution is slower in work and by how much?
Answer» Each STUDENT of MIT is `20%`LESS EFFICIENT than that of NIT Each student of NIT is `33.33%` less efficient than that of MIT Each student of MIT is `25%` less efficient than that of NIT Each student of MIT is `33.33%` less efficient than that of NIT Answer :C

Discussion

3646.	A shepherd has n goats in the year 2000. In 2001 the no. of goats increased by 40% . In 2002 the no. of goats declined to 70% . In 2003 the no, of goats grew by30% . In 2004, he sold 10% goats, then he had only 34,398 goats. The percentage increase of the no. of goats in this duration was:
Answer» 0.1466 0.1666 `20%` 0.3333 Answer :A

Discussion

3647.	Find the ratio of in radius and exradius in anequilateral triangle
Answer» ANSWER :`(1)/(3)`

Discussion

3648.	If alpha, beta in R, are the roots of the equation ax^(2)+bx+c=0, k in R lies between alpha and beta, if :
Answer» `a^2k^2+bk+clt0` `a^2k^2+abk+aclt0` `ak^2+abk+acgt0` NONE of these Answer :B

Discussion

3649.	2^(sqrt3) is :
Answer» a.a NATURAL NUMBER b.an integer c.a RATIONAL number d.an IRRATIONAL number ANSWER :D

Discussion

3650.	Write a short essay on the various kinds of evidence for evolution
Answer» 5985 1140 5040 `^20C-1 XX ^206C_3` ANSWER :A

Discussion

Explore topic-wise InterviewSolutions in .

For a quadratic equation ax^2+bx+c=0 , if you have double roots and positive coefficient of x^2, then the minimum value of y is

If p:q=3:2 and q:r=6:5 then p:q:r is equal to

Consider the following(i) (cos^(2) theta- sin^(2) theta)/(cos^(2) theta + sin^(2) theta) = cos^(2) theta (1 + tan theta) (ii) (1 + sin theta)/(1 - sin theta)= (tan theta + sec theta)^(2) Which of the equation given above is/are correct ?

If x+ (1)/(x)=3, then x^(3) + (1)/(x^(3))=?

If b is the largest square divisor of c and a then which one of the following is correct? (where a,b and c are intigers)

The no of real solutions of the equation (15 + sqrt(14))^t + (15 - sqrt(14))^t = 30 are where t = x^2 - 2|x|

sqrt(36x) + sqrt(64) = 0 sqrt(81y) + (4)^(2) = 0

If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are also in A.P. then

A merchant has 2000 kg of rice, one part of which he sells at 36%profit and the rest at 16% profit.He gains 28% on the whole.Find the quantity sold at 16%.

Find the no. of zeros in expression :1 × 3 × 5 × 7 .......... × 99

Find the no. of zeros in expression :1 × 2 × 3 × 4 .......... × 500

For x in R, let [x] denote the largest integer less than or equal to x, then the value of : E=[1/3]+[1/3 +1/(100)]+[1/3 +(2)/(100)]+.....+ [(1)/(3) +(99)/(100)] is

The sum of first p- terms terms of an A.P. is q and the sum of first q terms is p, find the sum of first (p + q)

If the average of x, y and 36 is 24, then find the average of x and y.

Of the three numbers, the second is twice the first and it is also thrice the third. If the average of three numbers is 44, the difference of the first number and the third number is

Assuming that A, B and C are different single-digit numerical values other than what is already used in the following equation, what number C definitely cannot be? 8A2 + 3B5 + C4 = 1271

Two numbers are in the ratio 3 : 4. If their LCM is 240, the smaller of the two number is:

The square root of 7744 is :

A and C can finish a work in 40 days. They worked at it for 10 days and then A left. The remaining work is done by C alone in 30 more days. How long will it take C to finish the work alone?

A lid of rectangularbox of sides 39.5 cm by 9.35 cm is sealed all around with tape such that there is an overlapping of 3.75 cm of the tape. Which is the length of the tapeused ?

Let f: NrarrR, f(x)=2x-1g:zrarrR, g(x)=x^2/2, then (gof) (0) is :

A committee of 7 persons is tobe chosenfrom 13personsofwhom6 areamericansand 7 andindiansinhowmanyways can theselectionbe madeso asto retaina majorityof indians?

DeltaABC and DeltaDBC have a common base and drawn towards one sides. angleBAC = angleBDC = 90^(@). If AC and DB intersect at P, then:

The ratio of age 4 Aman and her mother is 3:11. the difference of their ages is 24 years. What will be the ratio of their ages after 3 years?

A girl 1.2 metre tall casts a shadow 1.1 m at the time when a building casts a shadow 6.6 m long. The height of the building is

Onecardis drawnfroma packof52cards, eachof the52cardsbeing equallylikely to bedrawn. Findthe probabilitythat the carddrawnis neitheran acenoraking .

Onecardis drawnfroma packof52cards, eachof the52cardsbeing equallylikely to bedrawn. Findthe probabilitythat the carddrawn is either a heart , aqueenor a king .

Onecardis drawnfroma packof52cards, eachof the52cardsbeing equallylikely to bedrawn. Findthe probabilitythat the carddrawn iseitherking or aqueen .

Onecardis drawnfroma packof52cards, eachof the52cardsbeing equallylikely to bedrawn. Findthe probabilitythat the carddrawnis eitherblackor a queen .

Onecardis drawnfroma packof52cards, eachof the52cardsbeing equallylikely to bedrawn. Findthe probabilitythat the card drawn is black and a queen .

Onecardis drawnfroma packof52cards, eachof the52cardsbeing equallylikely to bedrawn. Findthe probabilitythat the carddrawnis a queen .

Onecardis drawnfroma packof52cards, eachof the52cardsbeing equallylikely to bedrawn. Findthe probabilitythat the carddrawnisblack .

A={2,3,5,7,11,...89,97} B={4,6,8,10,12,...98,100} C={1,9,15,21,25,27,33...95,99} The average of all the elements of A,B and C is :

If (cosalpha)/(cosbeta)=m and (cosalpha)/(sinbeta)=n, find (m^(2)+n^(2))cos^(2)beta

If the lengths of the sides of a triangle are in the ratio 4:5:6 and the inradius of the triangle is 3 cm, then the altitude of the triangle corresponding to the largest side as base is :

The average expenditure of Sarvesh for the January to June is Rs. 4200 and the spents Rs. 1200 in January and Rs. 1500 in July. The average expenditure for the months of February to July is :

1.5xx78div0.5=?

If each interior angle of a regular polygon is 3 times its exterior angle, the number of sides of the polygon is :

Kamlesh, the sulochan boy, has 100 identical matchsticks. How many distinct rectangles can he form using at most 100 matchsticks?

If f(x)=" min "(4x+3, x+4)" for "x in [0, 2], what is the maximum value of f(x)?

Two articles are sold at the same price. One at A profit of 75% and another one at a loss of 30%. What is the, overall profit or loss?

ABCD is a square of side a cm. AB,BC,CD and Which of the following all are the chords of circles with equal radii each . If the chords subtends and angle of120^(@) at their respectivecentres , find the total area of the given figure , where arcsare part of the circles:

A shepherd has n goats in the year 2000. In 2001 the no. of goats increased by 40% . In 2002 the no. of goats declined to 70% . In 2003 the no, of goats grew by30% . In 2004, he sold 10% goats, then he had only 34,398 goats. The percentage increase of the no. of goats in this duration was:

Find the ratio of in radius and exradius in anequilateral triangle

If alpha, beta in R, are the roots of the equation ax^(2)+bx+c=0, k in R lies between alpha and beta, if :

2^(sqrt3) is :

Write a short essay on the various kinds of evidence for evolution