8677 + Interview Questions in Maths in Class 14 Page 130 InterviewSolution

6451.	Express each of the following as a rational expression. Sum of (2x^(2)+3)/(x-3) and its reciprocal is :
Answer» `4x^4+13x^2-6x+18//2x^3-6x^2+3x-9` `4x^4-13x^2+6x-18//3x^2-6x^3+3x+9` `4x^4-13x^2-6x+18//4x^3-6x^2+3x-9` NONE of these Answer :A

Discussion

6452.	In the previous question, how many seating arrangements are, possible if 3 girls sit together in a back row on adjacent seats?
Answer» `(3!)^2` `6!` `5!` NONE of these Answer :D

Discussion

6453.	When N is divided by 4, the remainder is 3. What is the remainder when 2N is divided by 4?
Answer» ANSWER :A

Discussion

6454.	If f(x)=(x)/(x+1), then f^(-1)(x) is :
Answer» `(X+1)/x` `(x)/(1-x)` `(x-1)/x` NONE of these Answer :B

Discussion

6455.	Find the values that satisfy the polynomial inequation x^4+4x^3-12x^2gt0.
Answer» SOLUTION :`(-OO,-6)UU(2,oo)`

Discussion

6456.	If the roots are unequal, then the possible values of D is/are
Answer» D = 0 `D-{0}` `DGT0` `DLT0` ANSWER :B

Discussion

6457.	Pati, patni and Who (the three presons) were playing a game. At the beginning of the game Pati and Patni together had 100% more money than Woh. Patni and Woh together had 300% more than Pati. By the end of the game Pati and Patni together had 100% more money than Woh had and Pati had 12.5% less money than Patni and woh together had. Finally Pati gained Rs. 800 by the end of the game ? The percentage change of money of Patni is :
Answer» `40%` `30%` `57.1428%` `42.857%` ANSWER :C

Discussion

6458.	Pati, patni and Who (the three presons) were playing a game. At the beginning of the game Pati and Patni together had 100% more money than Woh. Patni and Woh together had 300% more than Pati. By the end of the game Pati and Patni together had 100% more money than Woh had and Pati had 12.5% less money than Patni and woh together had. Finally Pati gained Rs. 800 by the end of the game ? Who has suffered the loss ?
Answer» Patni Who Patni and WOH both can't be determined Answer :A

Discussion

6459.	A vertical tower stands on a horizontal plane and surmounted by a flagstaff of height 'h'. At a point on the plane. The angle of elevation of bottom of the flagstaff is alpha and that of the top of the flagstaffis beta. Find the height of the tower :
Answer» `H tanalpha` `(h tanalpha)/(tanalpha-tanbeta)` `(h tanalpha)/(tanbeta-tanalpha)` `(tanalpha+tanbeta)/(h tanalpha)` ANSWER :C

Discussion

6460.	The sum of three numbers in G.P. is 14 . If the first two terms are each increased by 1 and the third term is decreased by 1, the resulting numbers are in A.P. Find the product of these three numbers :
Answer» 125 64 216 124 Answer :B

Discussion

6461.	9-x^2ge0
Answer» `-sqrt3lexlesqrt3` `-3lexle3` `0ltxle3` `R-(-3,3) ANSWER :B

Discussion

6462.	A person P is at X and another person Q is atY. The distance between X and Y is 100 km. The speed of P is 20 km/h. While the speed of Q is 60 km/h? If P and Q continue to move between X and Y, then the ratio of distances covered by P and Q when they meet for the 5^(th) time?
Answer» `1:4` `1:3` `2:3` `3:4` ANSWER :B

Discussion

6463.	A person P is at X and another person Q is at Y.The distance between X and Y is 100 km.The speed of P is 20 km/h.While the speed of Q is 60 km/h?if P and Q continue to move between X and Y then the distance covered by P and Q together between any two consecutive meeting?
Answer» 100 300 200 can't be determined Answer :C

Discussion

6464.	A person P is at X and another person Q is at Y.The distance between X and Y is 100 km.The speed of P is 20 km/h.While the speed of Q is 60 km/h?if they continue to move to and fro between X and Y then what is the distance travelled by Q when they meet each other for the third time?
Answer» 375 km 225 km 350 km 445 km Answer :A

Discussion

6465.	A person P is at X and another person Q is at Y.The distance between X and Y is 100 km.The speed of P is 20 km/h.While the speed of Q is 60 km/h?if P and Q continue to move between X and Y in the given manner and if they meet for the fourth time at a place M somewhere between X and Y then the distance between X and M is:
Answer» 10 km 90 km 75 km 25 km Answer :D

Discussion

6466.	A person P is at X and another person Q is atY. The distance between X and Y is 100 km. The speed of P is 20 km/h. While the speed of Q is 60 km/h? If they continue to move to and fro between X and Y then what is the distance covered by P when they meet second time?
Answer» 105 km 100 km 80 km 75 km Answer :D

Discussion

6467.	Find the annual installment that will discharge a debt of Rs. 12900 due in 4 years at 5% per annum simple interest.
Answer» ANSWER :RS. 3000

Discussion

6468.	Match list I(Binary) with list II (Octal) and select the correct answer using the codes given below the lists:
Answer» `I - A, II - C, III - B , IV - D` `I- B, II - D, III - A, IV - C ` `I- A, II - D, III - B, IV - C ` `I- B, II - C, III - A, IV - D ` Answer :B

Discussion

6469.	Ajay bought a motor cycle for ₹ 50,000.2 years later he soldit to bijoy at 10% less of the cost price. Bijoy spend 5% of the purchasing price on its maintenance. Later bijoy displayed the sale price of his motorcycle ₹ 50,000. Chetan wanted to purchase it at 15% discount but Bijoy gave him two successive discounts of 10% and 5% instead of 15% in one time. What is the actual discount availed by Chetan?
Answer» `15%` `15.5%` `14.5%` NONE of these Answer :C

Discussion

6470.	A shopkeeper blends 2 kinds of sugar of price Rs. 33/kg and Rs. 24/kg in the ratio 2 : 1. If the ratio of two types of sugar is changed to 1 : 2. How much will the shopkeeper save in blending 100 kg?
Answer» ANSWER :RS 300

Discussion

6471.	If \|a\| lt 1and \|b\| lt 1 , then the sum of the series a(a+b) + a^2 (a^2 + b^2) + a^3 (a^3 + b^3) +… upto oo is:
Answer» a. `(a^2)/(B) +1` b. `(a^2)/(1-AB)` C. `(a^2)/(1-a^2) + (ab)/(1-ab)` d. `(a^2)/(b^2) + (1)/(ab)` ANSWER :C

Discussion

6472.	Three points A(1,-2) ,B(3,4)and C(4,7) form :
Answer» a STRAIGHT line an EQUILATERAL triangle a right ANGLED triangle none of (a), (b), ( c) ANSWER :D

Discussion

6473.	A book seller sells a book at a profit of 10%. If he has bought it at 4% less and sold it for Rs. 6 more. he would have gained 18(3)/(4)% The cost price of the book
Answer» ANSWER :RS. 150

Discussion

6474.	If a,b,c,d,e,f are sequentially the terms of an A.P. belong to set {1, 2 , 3, ……, 9} where all the terms a,b,c,… are in increasing order, then the last digit of a^b xx c^d xx e^f is :
Answer» 5 2 7 either of (a) and (B) ANSWER :D

Discussion

6475.	A surveillance plane is moving between two fixed places pukhwara and kargil at 120km/h. The distance between two places is 600 km . After 10 hour what will be the distance between the kargil and its position If it is starts moving from pukhwara ?
Answer» 360km 300 km 240 km none of these Answer :C

Discussion

6476.	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 B is :
Answer» 52 48 49 none of these Answer :A

Discussion

6477.	If the price of sugar increases by 10%, by what percentage a housewife should reduce the consumption of sugar so that expense is not increased?
Answer» 10% 9.1% 7.1% 20% ANSWER :D

Discussion

6478.	On increasing the price of tickets for a show by 20 % the audience decreases by 30%. What is the effect on revenue?
Answer» 4% decrease 4% increase 16% decrease 16% increase Answer :B

Discussion

6479.	A cubical cake is cut into several smaller cubes by dividing each edge into 7 equal parts.The cake is cut from the top along the two diagonals forming four prism.Some of them get cut and rest remained in the cubical shape.A complete cubical (smaller) cake was given to adults and the cut off part of a smaller cake is given to a child (which is not an adult).If all the cakes were given equally each piece to a person,total how many people could get the cake?
Answer» 343 448 367 456 Answer :B

Discussion

6480.	A person bought some articles at rate of 11 for Rs 10 and sold them at the rate of 10 for Rs 11 Find the profit/loss %.
Answer» ANSWER :21% PROFIT

Discussion

6481.	CD is direct common tangent to two circles intersecting each other at A and B. The angle CAD + angle CBD is equal to
Answer» `120^(@)` `90^(@)` `360^(@)` `180^(@)` ANSWER :D

Discussion

6482.	A family consumes Rice, Daal and Wheat. The ratio of its expenditure is 12 : 17 : 3. If the price of those commodities increases by 20%, 30% and 50% respectively. By how much expenditure will be increased of that family.
Answer» ANSWER :`28(1)/(8)%`

Discussion

6483.	Find CP when SP= rs. 40.60, gain = 16%?
Answer» a. RS.35 B. rs.50 c. rs.75 d. rs. 89 Answer :B

Discussion

6484.	98+743 +198 = 800 - ?
Answer» a. 200 b. 250 C. 300 d. 350 Answer :C

Discussion

6485.	The unit of N^(2p) and (N)^((2p - 1)) are 6 and 4 respectively. The greatest two digit number that follows the afore - said condition is :
Answer» 49 84 94 98 Answer :C

Discussion

6486.	Which one of the following is true tor x in R:
Answer» `F(X)=logabsx` `f(x)=absx/logabsx` `f(x)=LOG(x^2+2)` `f(x)=log_x100` ANSWER :C

Discussion

6487.	At what time between 3 o clock and 4 o clock will the hands of a clock be 4 min apart
Answer» ANSWER :`20(8)/(11)` min PAST 3 and 12 min past 3

Discussion

6488.	If the present worth of a certain sum due 2 yr hence at 10% per annum compound interest is2000, find the sum.
Answer» ANSWER :RS. 2420

Discussion

6489.	When (x^4-3x^3+2x^2-5x+7) is divided by (x-1) then the remainder is
Answer» 0 -3 2 3 Answer :C

Discussion

6490.	sqrt(2x^(2)-2x+1)-2x+3=0:
Answer» 2 3 4 5 Answer :C

Discussion

6491.	The sum of first n terms of the series 1/2 + 3/4 + 7/8 + (15)/(16) + …........n terms
Answer» A)`2^(N) -1` B)`1- 2^(-n)` C)`2^n - n +1` D)`n+ 2^(-n) -1` Answer :D

Discussion

6492.	If tantheta-cottheta=(119)/(60)" for "0^(@)ltthetaltpi//2, then the value of sintheta+costheta.
Answer» `(17)/(13)` `(21)/(13)` `(19)/(13)` `(23)/(13)` Answer :A

Discussion

6493.	Whichgreatest number will divide 3026 and 5053 leaving remainders 11 and 13respectively?(a) 15 (b) 30 (c) 45 (d) 60
Answer» 19 30 17 45 Answer :D

Discussion

6494.	A two digit number is 4 times the sum of its digits and the unit digit is 3 more than the tens digit . the number is :
Answer» 52 61 63 36 Answer :D

Discussion

6495.	Four pipe A, B, C and D can fill a cistern in 20, 25, 40 and 50 hours respectively. If A and B are opened as inlet pipe into the cistern and C and D are opened as outlet pipes from the cistern and all the four pipes are opened simultaneously, how many hours will it take to fill the cistern completely?
Answer» a. 20 HOURS b)11 hours C)22 hours d)45 hours Answer :C

Discussion

6496.	A constable follows a thief who is 200 m ahead of the constable. If the constable and the thief run at speeds of 8 km/hour and 7 km/hour respectively, the constable would catch the thiefin how much time?
Answer» ANSWER :12MINUTES

Discussion

6497.	If A,Bin(0,pi//2),sinA=(4)/(5)andcos(A+B)=-(12)/(13), then sinB=?
Answer» `(61)/(65)` `(8)/(65)` `(63)/(65)` `(5)/(13)` ANSWER :C

Discussion

6498.	ajayand hiswifekajal, theprobabilityof ajay 's selectionis 1/7andthat ofhiswifekajal's selectionis 1/5 . Whatis theprobabilitythatOnlyone of themwill beselected ?
Answer» `5/7` `1/5` `2/7` `2/35` ANSWER :C

Discussion

6499.	ajayand hiswifekajal, theprobabilityof ajay 's sectionis 1/7andtheat ofhiswifekajal's sectionis 1/5 . Whatis theprobabilitythatnoneof themwill beselected ?
Answer» `12/35` `6/35` `24/35` NONE of these Answer :C

Discussion

6500.	If 50% of (x-y) = 30% of (x+y), then what percent of x is y?
Answer» a. 20% B. 25% c. 30% d. 40% ANSWER :B

Discussion

Explore topic-wise InterviewSolutions in .

Express each of the following as a rational expression. Sum of (2x^(2)+3)/(x-3) and its reciprocal is :

In the previous question, how many seating arrangements are, possible if 3 girls sit together in a back row on adjacent seats?

When N is divided by 4, the remainder is 3. What is the remainder when 2N is divided by 4?

If f(x)=(x)/(x+1), then f^(-1)(x) is :

Find the values that satisfy the polynomial inequation x^4+4x^3-12x^2gt0.

If the roots are unequal, then the possible values of D is/are

A vertical tower stands on a horizontal plane and surmounted by a flagstaff of height 'h'. At a point on the plane. The angle of elevation of bottom of the flagstaff is alpha and that of the top of the flagstaffis beta. Find the height of the tower :

The sum of three numbers in G.P. is 14 . If the first two terms are each increased by 1 and the third term is decreased by 1, the resulting numbers are in A.P. Find the product of these three numbers :

9-x^2ge0

A person P is at X and another person Q is atY. The distance between X and Y is 100 km. The speed of P is 20 km/h. While the speed of Q is 60 km/h? If P and Q continue to move between X and Y, then the ratio of distances covered by P and Q when they meet for the 5^(th) time?

A person P is at X and another person Q is at Y.The distance between X and Y is 100 km.The speed of P is 20 km/h.While the speed of Q is 60 km/h?if P and Q continue to move between X and Y then the distance covered by P and Q together between any two consecutive meeting?

A person P is at X and another person Q is at Y.The distance between X and Y is 100 km.The speed of P is 20 km/h.While the speed of Q is 60 km/h?if they continue to move to and fro between X and Y then what is the distance travelled by Q when they meet each other for the third time?

A person P is at X and another person Q is atY. The distance between X and Y is 100 km. The speed of P is 20 km/h. While the speed of Q is 60 km/h? If they continue to move to and fro between X and Y then what is the distance covered by P when they meet second time?

Find the annual installment that will discharge a debt of Rs. 12900 due in 4 years at 5% per annum simple interest.

Match list I(Binary) with list II (Octal) and select the correct answer using the codes given below the lists:

A shopkeeper blends 2 kinds of sugar of price Rs. 33/kg and Rs. 24/kg in the ratio 2 : 1. If the ratio of two types of sugar is changed to 1 : 2. How much will the shopkeeper save in blending 100 kg?

If |a| lt 1and |b| lt 1 , then the sum of the series a(a+b) + a^2 (a^2 + b^2) + a^3 (a^3 + b^3) +… upto oo is:

Three points A(1,-2) ,B(3,4)and C(4,7) form :

A book seller sells a book at a profit of 10%. If he has bought it at 4% less and sold it for Rs. 6 more. he would have gained 18(3)/(4)% The cost price of the book

If a,b,c,d,e,f are sequentially the terms of an A.P. belong to set {1, 2 , 3, ……, 9} where all the terms a,b,c,… are in increasing order, then the last digit of a^b xx c^d xx e^f is :

A surveillance plane is moving between two fixed places pukhwara and kargil at 120km/h. The distance between two places is 600 km . After 10 hour what will be the distance between the kargil and its position If it is starts moving from pukhwara ?

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 B is :

If the price of sugar increases by 10%, by what percentage a housewife should reduce the consumption of sugar so that expense is not increased?

On increasing the price of tickets for a show by 20 % the audience decreases by 30%. What is the effect on revenue?

A person bought some articles at rate of 11 for Rs 10 and sold them at the rate of 10 for Rs 11 Find the profit/loss %.

CD is direct common tangent to two circles intersecting each other at A and B. The angle CAD + angle CBD is equal to

A family consumes Rice, Daal and Wheat. The ratio of its expenditure is 12 : 17 : 3. If the price of those commodities increases by 20%, 30% and 50% respectively. By how much expenditure will be increased of that family.

Find CP when SP= rs. 40.60, gain = 16%?

98+743 +198 = 800 - ?

The unit of N^(2p) and (N)^((2p - 1)) are 6 and 4 respectively. The greatest two digit number that follows the afore - said condition is :

Which one of the following is true tor x in R:

At what time between 3 o clock and 4 o clock will the hands of a clock be 4 min apart

If the present worth of a certain sum due 2 yr hence at 10% per annum compound interest is2000, find the sum.

When (x^4-3x^3+2x^2-5x+7) is divided by (x-1) then the remainder is

sqrt(2x^(2)-2x+1)-2x+3=0:

The sum of first n terms of the series 1/2 + 3/4 + 7/8 + (15)/(16) + …........n terms

If tantheta-cottheta=(119)/(60)" for "0^(@)ltthetaltpi//2, then the value of sintheta+costheta.

Whichgreatest number will divide 3026 and 5053 leaving remainders 11 and 13respectively?(a) 15 (b) 30 (c) 45 (d) 60

A two digit number is 4 times the sum of its digits and the unit digit is 3 more than the tens digit . the number is :

A constable follows a thief who is 200 m ahead of the constable. If the constable and the thief run at speeds of 8 km/hour and 7 km/hour respectively, the constable would catch the thiefin how much time?

If A,Bin(0,pi//2),sinA=(4)/(5)andcos(A+B)=-(12)/(13), then sinB=?

ajayand hiswifekajal, theprobabilityof ajay 's selectionis 1/7andthat ofhiswifekajal's selectionis 1/5 . Whatis theprobabilitythatOnlyone of themwill beselected ?

ajayand hiswifekajal, theprobabilityof ajay 's sectionis 1/7andtheat ofhiswifekajal's sectionis 1/5 . Whatis theprobabilitythatnoneof themwill beselected ?

If 50% of (x-y) = 30% of (x+y), then what percent of x is y?