8677 + Interview Questions in Maths in Class 14 Page 56 InterviewSolution

2751.	If HCF and LCM of two polynomial P(x) & Q(x) is (a+1) and a^(3) + a^(2)-a-1 respectively if P(x)= (a^(2)-1), find Q(x)= ?
Answer» ANSWER :`(a+1)^(2)`

Discussion

2752.	An intelligence agency forms a code of two distinct digits selected from 0, 1, 2, ..., 9 such that the firstdigit of code is non-zero. The code, handwritten on a slip, can however potentially create confusion when read upside down, for examples the code 91 may appear as 16. How many codes are there for which nosuch confusion can arise?
Answer» 80 78 71 69 Answer :D

Discussion

2753.	The ratio of milk and water in a pot is 2:5. If 14 l water is added, then the ratio becomes 1:3. Find the initial quantity of milk.
Answer» 14 LITRE 20 litre 28 litre 24 litre Answer :C

Discussion

2754.	What is the greatest number which will divide 110 and 128 leaving a remainder 2 in each case?
Answer» 8 18 28 38 Answer :B

Discussion

2755.	A diamond expert cuts a huge cubical diamond into 960 identical diamond pieces in minimum number of 'n' cuts. If he wants to maximize the number of identical diamond pieces making same number of n cuts to it. So the maximum number of such diamond pieces are :
Answer» a.1000 B. 1331 C. 1200 d. NONE of (a),(b),(c) ANSWER :A

Discussion

2756.	If a,b,c are respectively the xth, yth and zth terms of a G.P. then the value of (y-z)log a + (z-x)log b+(x-y) logc:
Answer» 0 1 3 none of these Answer :A

Discussion

2757.	The sum of Rs. 530 is divided among A, B and C such that A gets Rs 70 more than B and B gets Rs. 80 more than C. Then what are their share?
Answer» `240, 190, 100` `250, 180, 100` `250, 100, 180` `300, 80, 100` ANSWER :B

Discussion

2758.	If the algebraic sum of deviations of 20 observation measured from 23 is 70 mean of these obervations would be
Answer» 24 25 26.5 23 Answer :D

Discussion

2759.	In a school, each of the 10 teachers gets a salary of Rs 3500, and other 15 teachers, each gets a salary of Rs 4000. Find the average income of a teacher in that school.
Answer» 4000 3500 4400 5000 Answer :`= RS 2500`

Discussion

2760.	If the number 243 x 51 is divisible by 9 then the value of the digit marked as x would be:
Answer» 3 1 2 4 Answer :A

Discussion

2761.	I.56x^(2) + 37x + 6 = 0 II.66y^(2) - 13y - 4 = 0
Answer» `X GT y` ` x LT y` ` x ge y` ` x LE y` Answer :C

Discussion

2762.	On 14th November, in my school, each child received as many packs of chocolates as there were total number of the students in the school. Further, each pack of chocolates contains as many chocolates as there were the total number of packs which a child had. Total how many chocolates have been distributed among all the children of school .
Answer» 729 196 961 can't be determined Solution :Is the appropriate ANSWER SINCE we don.t have SUFFICIENT DATA to calculate.

Discussion

2763.	The ratio of two number is 1:2. If 7 is added in both number then ratio become 3:5. Then find these number.
Answer» `7,14` `21,42` `14,28` `8,40` ANSWER :C

Discussion

2764.	Find max^(m)&min^(m) value of 8sintheta+15costheta.
Answer» ANSWER :`-17`

Discussion

2765.	A portion of a 30 m long tree is broken by tornado and the top struck up the ground making an angle 30^(@) with ground level. The height of the point where the tree is broken is equal to :
Answer» `30sqrt3m` 10 m `30sqrt3m` 60 m Answer :B

Discussion

2766.	Find the value of cot3theta:
Answer» `(cot^3theta-3cottheta)/(3cot^2theta)` `(cot^3theta-3cottheta)/(3cot^2theta-1)` `(3cottheta-cot^3theta)/(3cot^2theta-1)` NONE of these Answer :B

Discussion

2767.	A certain sum amounts to Rs 5832 in 2 years at8% compounded interest. Find the sum.
Answer» ANSWER :RS. 5000

Discussion

2768.	If the roots are complex conjugate, then the sum of the roots is
Answer» An integer An irrational An imaginary none of these Answer :A

Discussion

2769.	There are two quadratic equations, none of them has integer or complex roots. If each root of a quadratic equation is three times the root of another quadratic equation, then the maximum of tliis equation will be m times to that of the other equation., What'sthe value of m?
Answer» 1 3 `SQRT3` 9 Answer :D

Discussion

2770.	A and B take turn in throwing two dice, the first to throw sum 9 being awarded. Find the ratio of probabilities of their winning if A has the first throw.
Answer» `7//8` `9//8` `8//7` `9//10` ANSWER :B

Discussion

2771.	A person sold two cows each for ₹ 9900. If he gained 10% on. one and lost 20% on the other, then which of the following is true?
Answer» He GAINED ₹ 200 He'LOST ₹ 200 He NEITHER gained nor lost NONE of the above Answer :D

Discussion

2772.	If one of the roots of the equation x^(2) -bx + c = 0 is the square of the other, then which of the following option is correct ?
Answer» `B^(3) =3BC + c^(2) + c` `c^(3) = 3bc + b^(2) +b` `3bc = c^(3) + b^(2) +b` `3 "FAC" =c^(3) + b^(3) + b^(2)` Answer :A

Discussion

2773.	Devic Mathematics are as follows : +rarr" multiplication" - rarr" division" xx rarr" addition" // rarr" subtraction" ^^ rarr" power (or index) for exponential expression." But Devic (Mathematics must follow the same conventional BODMAS rule of mathematics. Solve the following questions in Devic Mathematics. The value of the following expression in Devic mathematic is a+a+a-a+a+a//a+a-a:
Answer» 1 0 1-a `1/a` ANSWER :D

Discussion

2774.	Devic Mathematics are as follows : +rarr" multiplication" - rarr" division" xx rarr" addition" // rarr" subtraction" ^^ rarr" power (or index) for exponential expression." But Devic (Mathematics must follow the same conventional BODMAS rule of mathematics. Solve the following questions in Devic Mathematics. 30+20-4xx6 is equal to :
Answer» `x/y` x+y `xxxy` x^y Answer :B

Discussion

2775.	Devic Mathematics are as follows : +rarr" multiplication" - rarr" division" xx rarr" addition" // rarr" subtraction" ^^ rarr" power (or index) for exponential expression." But Devic (Mathematics must follow the same conventional BODMAS rule of mathematics. Solve the following questions in Devic Mathematics. (5^^5)xx(4^^4)//(3^^3)xx(2^^2)//(1^^1) is equal to
Answer» 2987 4013 3357 none of these Answer :C

Discussion

2776.	Through any given set of four points P,Q,R,S it is possible to draw
Answer» 1.atmost ONE CIRCLE 2.exactly one circle 3.exactly TWO circles 4.exactly THREE circles Answer :A

Discussion

2777.	If (a)/(b+c)=(b)/(c+a)=(c)/(a+b) and a+b+cne0 then the value of (b)/(a+b+c) is :
Answer» `1/2` `1/3` `1/4` `1` ANSWER :B

Discussion

2778.	a"@"b=(a+b)(ab+b) a#b=(a-b)(ab-b) aDeltab=(a"@"b)-(a#b) Find the value of ((1"@"(2Delta3))#4):
Answer» 35500 482420 123400 none of these Answer :D

Discussion

2779.	A container is filled with liquid, 6 part of which are water 10 part milk. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half milk?
Answer» `1/3` `1/7` `1/5` `1/8` ANSWER :C

Discussion

2780.	If HCF and LCM of two numbers are 13 and 455. If one number is between 75 and 125. Find other number.
Answer» ANSWER :`=65`

Discussion

2781.	If alpha, beta, gamma are such that alpha +beta+gamma=2, alpha^(2)+beta^(2)+gamma^(2)=6, alpha^(3)+beta^(3)+gamma^(3)=8, then alpha^(4)+beta^(4)+gamma^(4) is equal to:
Answer» 10 12 18 none of these Answer :C

Discussion

2782.	If x+ (1)/(x)= -2, find x^(11) + (1)/(x^(11))= ?
Answer» ANSWER :`-2`

Discussion

2783.	A sum of money Amounts to Rs. 9440 in 3 years. If the rate of interest is increased by the rate of 25%, the amount becomes 9800 in same time. Find the principal & Rate?
Answer» ANSWER :RS. 8000, 6%

Discussion

2784.	(A + B) can do a work in 6 days. (A + B + C) can do the same work in 5 days. A and C take 2.5 days less than B and C. Then find the number of days taken by A, B and C individually to complete the work.
Answer» ANSWER :A `to` 10 DAYS, B `to` 15 days, C `to` 30 days

Discussion

2785.	Find the number of ways, in which 12 different beads can be arranged to form a necklace.
Answer» `(11!)/(2)` `(10!)/(2)` `(12!)/(2)` Couldn't be determined Answer :A

Discussion

2786.	A person wanted to buy some chairs whose cost was 200 each. Seller offer him a discount such that after buying 12 chairs. the person have to pay the cost of 10 chairs and rest 2 chairs at 80 each. What is the discount percentage?
Answer» ANSWER :0.1

Discussion

2787.	Findthe angle between the hour hand and the minute hand ofa clock when the time is 4:10
Answer» `65^(@)` `35^(@)` `125^(@)` `60^(@)` ANSWER :A

Discussion

2788.	Find the number of ways of placing 6 letters in 6 envelopes which have different addresses in such a way that at least two letters are correctly placedthe right envelops
Answer» 191 171 362 121 Answer :A

Discussion

2789.	The numerator of a fraction is 3 less than the denominator. If numerator be made 3 times and 20 is added to the denominator, the fraction becomes 1/8. What is the fraction?
Answer» 1/4 2/5 5/8 4/7 Answer :B

Discussion

2790.	What annual payment will discharge a debt of Rs. 580 in 5 years, the rate being 8% p.a. ?
Answer» 120 100 80 78 Answer :B

Discussion

2791.	If the perimeterof an equilateral triangle and a square sameand the areaof equilateral triangle is P and the area of squareis Q, then :
Answer» <P>P LT Q P LE Q P gt Q P ge Q Answer :A

Discussion

2792.	Wages of 45 women for 30 days amount to ? 31050. How many men must work for 10 days to receive ? 11500, if the daily wages of a man being double those of a woman?
Answer» a.25 b.20 c.30 d.none of these Answer :25 MEN

Discussion

2793.	The graph of a quadratic equation is symmetrical about X-axis, which ones of the following can't be the roots of a quadratic equation?
Answer» `a-B=C` `2a-b=0` b = 0 c = 0 Answer :C

Discussion

2794.	Rs. 50000 is borrowed at CI at the rate of 1% for the first year, 2% for the second year and 3% for the third year. Find the amount to be paid after 3 years.
Answer» ANSWER :RS. 53055.30

Discussion

2795.	An article manufactured by a company consists of two parts X and Y. Inthe process of manufacture of the part X, 9 out of 100 parts may bedefective. Similarly, 5 out of 100 are likely to be defective in themanufacture of part Y. Calculate the probability that the assembled productwill not be defective.
Answer» 0.6485 0.6565 0.8645 none of these Answer :C

Discussion

2796.	Find the number of terms in the G.P. whose first term is 3 sum is (4095)/(1024) and the common ratio is 1/4 :
Answer» 4 5 6 none Answer :C

Discussion

2797.	The value of k for which kx+3y-k+3=0 and 12x+ky+k, have infinite solutions, is
Answer» 0 -6 6 1

Discussion

2798.	If (x^3+1/x^3)=2 then the value of (x+1/x) is
Answer» 1 2 3 4 Answer :B

Discussion

2799.	Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 5780, how much amount did Raghu invest ?
Answer» A) Rs.2010 B) Rs.2200 C) Rs.2000 D) Rs.2100 Answer :720 KM , 11 HRS

Discussion

2800.	During a counter insurgency operation, three paramilitary troops A,B and C, fought bravely against the rebels and thwarted the attempt of a coup detat. The fight was so intense and lethal that exactly half of the paramilitary forces lost their lives. Only 36% of troop A, 60% of troop B and 80% of the troop C could survive the fight. Which of the following is not the possible number of total soldiers in all the three troops together engaged in the Fight?
Answer» 40 50 60 90 Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

If HCF and LCM of two polynomial P(x) & Q(x) is (a+1) and a^(3) + a^(2)-a-1 respectively if P(x)= (a^(2)-1), find Q(x)= ?

The ratio of milk and water in a pot is 2:5. If 14 l water is added, then the ratio becomes 1:3. Find the initial quantity of milk.

What is the greatest number which will divide 110 and 128 leaving a remainder 2 in each case?

A diamond expert cuts a huge cubical diamond into 960 identical diamond pieces in minimum number of 'n' cuts. If he wants to maximize the number of identical diamond pieces making same number of n cuts to it. So the maximum number of such diamond pieces are :

If a,b,c are respectively the xth, yth and zth terms of a G.P. then the value of (y-z)log a + (z-x)log b+(x-y) logc:

The sum of Rs. 530 is divided among A, B and C such that A gets Rs 70 more than B and B gets Rs. 80 more than C. Then what are their share?

If the algebraic sum of deviations of 20 observation measured from 23 is 70 mean of these obervations would be

In a school, each of the 10 teachers gets a salary of Rs 3500, and other 15 teachers, each gets a salary of Rs 4000. Find the average income of a teacher in that school.

If the number 243 x 51 is divisible by 9 then the value of the digit marked as x would be:

I.56x^(2) + 37x + 6 = 0 II.66y^(2) - 13y - 4 = 0

The ratio of two number is 1:2. If 7 is added in both number then ratio become 3:5. Then find these number.

Find max^(m)&min^(m) value of 8sintheta+15costheta.

A portion of a 30 m long tree is broken by tornado and the top struck up the ground making an angle 30^(@) with ground level. The height of the point where the tree is broken is equal to :

Find the value of cot3theta:

A certain sum amounts to Rs 5832 in 2 years at8% compounded interest. Find the sum.

If the roots are complex conjugate, then the sum of the roots is

There are two quadratic equations, none of them has integer or complex roots. If each root of a quadratic equation is three times the root of another quadratic equation, then the maximum of tliis equation will be m times to that of the other equation., What'sthe value of m?

A and B take turn in throwing two dice, the first to throw sum 9 being awarded. Find the ratio of probabilities of their winning if A has the first throw.

A person sold two cows each for ₹ 9900. If he gained 10% on. one and lost 20% on the other, then which of the following is true?

If one of the roots of the equation x^(2) -bx + c = 0 is the square of the other, then which of the following option is correct ?

Through any given set of four points P,Q,R,S it is possible to draw

If (a)/(b+c)=(b)/(c+a)=(c)/(a+b) and a+b+cne0 then the value of (b)/(a+b+c) is :

a"@"b=(a+b)(ab+b) a#b=(a-b)(ab-b) aDeltab=(a"@"b)-(a#b) Find the value of ((1"@"(2Delta3))#4):

A container is filled with liquid, 6 part of which are water 10 part milk. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half milk?

If HCF and LCM of two numbers are 13 and 455. If one number is between 75 and 125. Find other number.

If alpha, beta, gamma are such that alpha +beta+gamma=2, alpha^(2)+beta^(2)+gamma^(2)=6, alpha^(3)+beta^(3)+gamma^(3)=8, then alpha^(4)+beta^(4)+gamma^(4) is equal to:

If x+ (1)/(x)= -2, find x^(11) + (1)/(x^(11))= ?

A sum of money Amounts to Rs. 9440 in 3 years. If the rate of interest is increased by the rate of 25%, the amount becomes 9800 in same time. Find the principal & Rate?

(A + B) can do a work in 6 days. (A + B + C) can do the same work in 5 days. A and C take 2.5 days less than B and C. Then find the number of days taken by A, B and C individually to complete the work.

Find the number of ways, in which 12 different beads can be arranged to form a necklace.

A person wanted to buy some chairs whose cost was 200 each. Seller offer him a discount such that after buying 12 chairs. the person have to pay the cost of 10 chairs and rest 2 chairs at 80 each. What is the discount percentage?

Findthe angle between the hour hand and the minute hand ofa clock when the time is 4:10

Find the number of ways of placing 6 letters in 6 envelopes which have different addresses in such a way that at least two letters are correctly placedthe right envelops

The numerator of a fraction is 3 less than the denominator. If numerator be made 3 times and 20 is added to the denominator, the fraction becomes 1/8. What is the fraction?

What annual payment will discharge a debt of Rs. 580 in 5 years, the rate being 8% p.a. ?

If the perimeterof an equilateral triangle and a square sameand the areaof equilateral triangle is P and the area of squareis Q, then :

Wages of 45 women for 30 days amount to ? 31050. How many men must work for 10 days to receive ? 11500, if the daily wages of a man being double those of a woman?

The graph of a quadratic equation is symmetrical about X-axis, which ones of the following can't be the roots of a quadratic equation?

Rs. 50000 is borrowed at CI at the rate of 1% for the first year, 2% for the second year and 3% for the third year. Find the amount to be paid after 3 years.

Find the number of terms in the G.P. whose first term is 3 sum is (4095)/(1024) and the common ratio is 1/4 :

The value of k for which kx+3y-k+3=0 and 12x+ky+k, have infinite solutions, is

If (x^3+1/x^3)=2 then the value of (x+1/x) is

Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 5780, how much amount did Raghu invest ?