8677 + Interview Questions in Maths in Class 14 Page 84 InterviewSolution

4151.	The minimum value of the expression \|17x- 8\| - 9 is :
Answer» 27 17 44 `26` ANSWER :A

Discussion

4152.	If asectheta+btantheta+c=0andpsectheta+qtantheta+r=0, then (br-qc)^(2)-(pc-ar)^(2)=?
Answer» a) `(bp-aq)` B) `(aq-bp)^(2)` C) `(aq+bp)^(2)` d) NONE of these Answer :A::B

Discussion

4153.	Aman can reach a certain place in 30 hours. If the reduces his speed by1/(15)t hhegoes 10 km less in that time. Find his speed.4\ k m//h rb. 5\ k m//h rc. 5 1/2k m//h rd. 6k m//h r
Answer» ANSWER :5km/h

Discussion

4154.	x^2-4lt0
Answer» `-2lexle2` `-2ltxlt2` `(-4,4)` NONE of these Answer :B

Discussion

4155.	A sailor sails a distance of 48 km along the flow of a river in 8 h.If it takes 12 h to return the same distance,then the speed of the flow of the river is
Answer» 0.5 km/h 1 km/h 1.5 km/h 2 km/h Answer :B

Discussion

4156.	Which of the following represents the numeral for 2949 ?
Answer» MMMIXL MMXMIX MMCMIL MMCMXLIX Answer :D

Discussion

4157.	A train of length 250 m, passes a platform of 350 m length in 50 s. what time will this train take to pass the platform of 230 m length.
Answer» ANSWER :`=40 s`

Discussion

4158.	If x=-3 find the value of 4x^2-5x+3
Answer» SOLUTION :`4x^2-5x+3=4xx(-3)^2-5xx(-3)+3=36+15+3=54`

Discussion

4159.	Six identical 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

4160.	Boxes numbered 1, 2, 3, 4 and 5 are kept in a row and they are to be filled with either a red or a blue ball, such that no two adjacent boxes can be filled with blue balls. Then, how many different arrangements are possible, given that all balls of a given colour are exactly identical in all respects?
Answer» 8 10 15 22 Answer :D

Discussion

4161.	If a number 67235x489 is divisible by 9, then find the value of x.
Answer» 1 3 5 7 Answer :a

Discussion

4162.	Consider the following statements : (1) If three sides ofa triangle are equal to three sides of another triangle, then the triangles are congruent. (2) If three angles of a triangles are equal to three angles of another triangle respectively, then the two triangles are congruent. Of these statements :
Answer» 1 is correct and 2 is false both 1 and 2 are false both 1 and 2 are correct 1 is false and 2 is correct Answer :A

Discussion

4163.	Follow the steps to solve the given problem : Step 1. Put x = 2 and y = 3 Step 2. Multiply x by 2 Step 3. Multiply y by 3 Step 4. If y = greatest possible 3 digit perfect square, then stop, else follow step 5. Step 5. Go to step 2. What is the maximum possible value of x ?
Answer» 32 64 less than 50 none of these Solution :x = 2, 4, 8, 16, 32, 64 y = 3, 9, 27, 81, 243, 729 Hence, the required maximum VALUE of x = 64

Discussion

4164.	If alpha is in Ist quadrant such that sec^(2)alpha=3, then (tan^(2)alpha-cosec^(2)alpha)/(tan^(2)alpha+cosec^(2)alpha)=?
Answer» `(4)/(7)` `(3)/(7)` `(2)/(7)` `(1)/(7)` Answer :D

Discussion

4165.	Find the values of the following expression. sin^4theta+sin^2thetacos^2theta=?
Answer» 0 1 2 `sin^2theta` ANSWER :D

Discussion

4166.	The average weight of 8 men is increased by 1.5 kg when one of the men whose weight 65 kg is replaced by a new man. The weight of the new man is:
Answer» (a) 65 KG (b) 77 Kg (c) 82 Kg (d) 90 Kg Answer :C

Discussion

4167.	Answer these questions based on the following informations There are n points on a plane, out of which m are collinear points, such that mltn Find the maximum number of triangles formed by joining them.
Answer» `N!-m!` `^mC_3-^nC_3` `(n-m)C_3-^mC_3` `^nC_3-^mC_3` ANSWER :D

Discussion

4168.	Answer these questions based on the following informations There are n points on a plane, out of which m are collinear points, such that mltn Find the maximum number of quadrilaterals formed by joining them.
Answer» `^mC_4+^nC_4` `^nC_4+^mC_4` `^nC_4-^mC_4` `^nC_4-^mC_4+1` ANSWER :C

Discussion

4169.	Answer these questions based on the following informations There are n points on a plane, out of which m are collinear points, such that mltn Find the maximum number of hexagons formed by joining them.
Answer» `^nC_6-^mC_6` `^nC_6-^mC_6+6` `^nC_6+^mC_6` `^nC_6+^mC_6-6` ANSWER :A

Discussion

4170.	Answer these questions based on the following informations There are n points on a plane, out of which m are collinear points, such that mltn Find the maximum number of straight lines formed by joining them.
Answer» `^(n-m)C_2+1` `^nC_2-^mC_2-1` `^(n-m)C_2-1` `^nC_2-^mC_2+1` ANSWER :D

Discussion

4171.	Rs. 960 were distributed among A,B,C and D in such a way that C and D together gets half of what A and B together gets and C gets one third amount of B. Also D gets 5/3 times as much as C. What is the amount of A?
Answer» ₹ 240 ₹ 280 ₹ 320 Data insufficient Answer :B

Discussion

4172.	Ifalpha and beta are the roots of the quadratic equationx^2+5x+6=0 what are the signs of the roots?
Answer» `(alpha^n+1)and(beta^n+1)` `1/alphaand1/beta` `(alpha+beta)and(alpha-beta)` `alpha/betaandbeta/alpha` ANSWER :D

Discussion

4173.	If sintheta+sin^(2)theta=1, then find the value of cos^(2)theta+cos^(4)theta.
Answer» 1 5 0 `-1` ANSWER :A

Discussion

4174.	Even after reducing the marked price of a pen by Rs 32, a shopkeeper makes a profit of 15%. If the cost price be Rs 320, what percentage of profit does he make it he sells the pen at the marked price?
Answer» ANSWER :0.25

Discussion

4175.	N, the set of natural numbers, is partitioned into subsets S1 ={1},S2 ={2,3},S3 ={4,5,6},S4 ={7,8,9,10}. The last term of these groups is 1,1+2,1+2+3,1+2+3+4, so on. Find the sum of the elements in the subset S50 .
Answer» a. `S_12` B. `S_13` C. `S_12 and S_13` d. `S_9, S_12 ,S_(13)` ANSWER :D

Discussion

4176.	P,Q and R start a business P invests 3 times as much as Q invests and2 0 invest -rd as much as R invests. Find 3 the ratio of capitals of P ,Q and R
Answer» `3:2: 6` `2:6:3` `6:2:3` `5:2:3` ANSWER :C

Discussion

4177.	How many numbers are there from 100 to 300 ?
Answer» 200 201 199 none of these Answer :B

Discussion

4178.	For any natural number n the sets S_1, S_2,….. are defined as below: S_1 = {1} . S_2 = {2,3}, S_ 3 = {4,5,6} S_4 = {7,8,9,10}, S_5 = {11,12,13,14,15}:etc. The sum of the elements of set S_(25) is :
Answer» 7825 3125 3250 none of these Answer :A

Discussion

4179.	For any natural number n the sets S_1, S_2,….. are defined as below: S_1 = {1} . S_2 = {2,3}, S_ 3 = {4,5,6} S_4 = {7,8,9,10}, S_5 = {11,12,13,14,15}:etc. The middlemost element of the set S_(15) is:
Answer» 196 169 131 none of these ANSWER :D

Discussion

4180.	For any natural number n the sets S_1, S_2,….. are defined as below: S_1 = {1} . S_2 = {2,3}, S_ 3 = {4,5,6} S_4 = {7,8,9,10}, S_5 = {11,12,13,14,15}:etc. On which set the sum of all the elements of the set is even :
Answer» a. `S_(39)` b. `S_(50)` c. `S_(72)` d. `S_(94)` Answer :C

Discussion

4181.	A person is entitled to receivean annualpayment whichfor each year is less by one tenth of what it was for the year before . If the first first payment is 100, then find the maximum possible payment which be can receive however long he may live :
Answer» 900 9999 1000 none of these Answer :C

Discussion

4182.	Find the sum of the series 2sqrt3 , 2sqrt2 , 4/(sqrt3) , ….
Answer» `6(sqrt3+sqrt2)` `6(sqrt3-sqrt2)` `6/((sqrt3+sqrt2))` none Answer :A

Discussion

4183.	Find (x+y+z)^(3)-(x+y-z)^(3)-(y+z-x)^(3) -(z + x-y)^(3)
Answer» 24xyz 27 xyz 3xyz 0 Answer :A

Discussion

4184.	How many times does the sum of 3780 and 2835 contains their differences?
Answer» 4 5 6 7 Answer :D

Discussion

4185.	If bsinalpha=asin(alpha+2beta), then (a+b)/(a-b)=?
Answer» `(TANBETA)/(TAN(alpha+beta))` `(cotbeta)/(cot(alpha-beta))` `(cotbeta)/(cot(alpha+beta))` `(tanbeta)/(tan(alpha-beta))` Answer :A::B::C

Discussion

4186.	Find the values of sqrt(6sqrt(6sqrt(6sqrt(6sqrt(6))))).
Answer» 6 `6^(31//32)` `6^(31//34)` 3 Answer :B

Discussion

4187.	Two numbers 875 and 2272 are divided by a 3- digit number and leaves same remainder in each case. Find the sum of digit of that number.
Answer» ANSWER :`=10`

Discussion

4188.	A rectangle has a perimeter of 26 . How many combinations of integral valued length arepossible ?
Answer» 4 8 6 12 Answer :C

Discussion

4189.	Nehru Ji had n chocolates. He distributed them among 4 children in the ratio of 1/2:1/3:1/5:1/8. If he gave them each one a complete chocolate, the minimum no. of cholocates that he had
Answer» 139 240 278 none of these Answer :A

Discussion

4190.	If log 2=0.3010 and 5^x=400, then the value of x is :
Answer» 16 14 8 none of these ANSWER :A

Discussion

4191.	Two circles of unit radii, are so drawn that the centre of each lies on the circuference of the other. The area of the region , common to both the circles, is :
Answer» `(4pi-3 SQRT3)/(12)` `(4pi-6 sqrt3)/(12)` `(4pi-3 sqrt3)/6` `(4pi-6 sqrt3)/6` ANSWER :C

Discussion

4192.	Find the sum of 222, 224, 226. ..., 888:
Answer» 185370 195300 183000 899000 Answer :A

Discussion

4193.	Find the remainder obtained when [43^(101)+23^(101)] is divided by 66.
Answer» 2 10 5 0 Answer :D

Discussion

4194.	Simplify (3/2 + 1/2xx 3/2)/(3/2+1/2 of 3/2)+1/8
Answer» 9/8 2 1/6 1/2 Answer :A

Discussion

4195.	Cost of erecting a fence round a square field of 625 hectares at 15 paise per metre is
Answer» ₹ 500 ₹ 750 ₹ 100 ₹ 150 Answer :D

Discussion

4196.	If 2x^(2) +kx + 8 is divided by (x+2) leaves remainder 3k find k =?
Answer» ANSWER :`(16)/(5)`

Discussion

4197.	Shankuntala asked Aryabhatta to assume any two values of three digits say P and Q then she told him to multiply P by R and Q by S where the values of R and S were given by Shakuntala herself. Aryabhatta exactly told her the values of PR div QS = 888222. Then Shankuntala told him the value of P by Q (i.e. P/Q) is :
Answer» 1001 1110 3108 none of these Answer :B

Discussion

4198.	A clock is set right at 8 am. The clock gains 10 min in 24 h. What will be the right time when the clock indicates 1 pm of the following day ?
Answer» 48 MIN past 12 48 min past 11 48 min past 1 48 min past 2 Answer :C

Discussion

4199.	8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel , A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is :
Answer» a. `8/39` B. `15/39` C. `12/13` d. NONE of these Answer :B

Discussion

4200.	If A and Bbe twoeventsin a samplespace suchthatP(A)= 3/(10)andp(B) = 1/2and P (A nn B ) = 1/5. FindP (A uu B).
Answer» `1/5` `2/5` `3/5` `4/5` ANSWER :C

Discussion

Explore topic-wise InterviewSolutions in .

The minimum value of the expression |17x- 8| - 9 is :

If asectheta+btantheta+c=0andpsectheta+qtantheta+r=0, then (br-qc)^(2)-(pc-ar)^(2)=?

Aman can reach a certain place in 30 hours. If the reduces his speed by1/(15)t hhegoes 10 km less in that time. Find his speed.4\ k m//h rb. 5\ k m//h rc. 5 1/2k m//h rd. 6k m//h r

x^2-4lt0

A sailor sails a distance of 48 km along the flow of a river in 8 h.If it takes 12 h to return the same distance,then the speed of the flow of the river is

Which of the following represents the numeral for 2949 ?

A train of length 250 m, passes a platform of 350 m length in 50 s. what time will this train take to pass the platform of 230 m length.

If x=-3 find the value of 4x^2-5x+3

Six identical 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

If a number 67235x489 is divisible by 9, then find the value of x.

Follow the steps to solve the given problem : Step 1. Put x = 2 and y = 3 Step 2. Multiply x by 2 Step 3. Multiply y by 3 Step 4. If y = greatest possible 3 digit perfect square, then stop, else follow step 5. Step 5. Go to step 2. What is the maximum possible value of x ?

If alpha is in Ist quadrant such that sec^(2)alpha=3, then (tan^(2)alpha-cosec^(2)alpha)/(tan^(2)alpha+cosec^(2)alpha)=?

Find the values of the following expression. sin^4theta+sin^2thetacos^2theta=?

The average weight of 8 men is increased by 1.5 kg when one of the men whose weight 65 kg is replaced by a new man. The weight of the new man is:

Answer these questions based on the following informations There are n points on a plane, out of which m are collinear points, such that mltn Find the maximum number of triangles formed by joining them.

Answer these questions based on the following informations There are n points on a plane, out of which m are collinear points, such that mltn Find the maximum number of quadrilaterals formed by joining them.

Answer these questions based on the following informations There are n points on a plane, out of which m are collinear points, such that mltn Find the maximum number of hexagons formed by joining them.

Answer these questions based on the following informations There are n points on a plane, out of which m are collinear points, such that mltn Find the maximum number of straight lines formed by joining them.

Rs. 960 were distributed among A,B,C and D in such a way that C and D together gets half of what A and B together gets and C gets one third amount of B. Also D gets 5/3 times as much as C. What is the amount of A?

Ifalpha and beta are the roots of the quadratic equationx^2+5x+6=0 what are the signs of the roots?

If sintheta+sin^(2)theta=1, then find the value of cos^(2)theta+cos^(4)theta.

Even after reducing the marked price of a pen by Rs 32, a shopkeeper makes a profit of 15%. If the cost price be Rs 320, what percentage of profit does he make it he sells the pen at the marked price?

N, the set of natural numbers, is partitioned into subsets S1​ ={1},S2​ ={2,3},S3​ ={4,5,6},S4​ ={7,8,9,10}. The last term of these groups is 1,1+2,1+2+3,1+2+3+4, so on. Find the sum of the elements in the subset S50​ .

P,Q and R start a business P invests 3 times as much as Q invests and2 0 invest -rd as much as R invests. Find 3 the ratio of capitals of P ,Q and R

How many numbers are there from 100 to 300 ?

For any natural number n the sets S_1, S_2,….. are defined as below: S_1 = {1} . S_2 = {2,3}, S_ 3 = {4,5,6} S_4 = {7,8,9,10}, S_5 = {11,12,13,14,15}:etc. The sum of the elements of set S_(25) is :

For any natural number n the sets S_1, S_2,….. are defined as below: S_1 = {1} . S_2 = {2,3}, S_ 3 = {4,5,6} S_4 = {7,8,9,10}, S_5 = {11,12,13,14,15}:etc. The middlemost element of the set S_(15) is:

For any natural number n the sets S_1, S_2,….. are defined as below: S_1 = {1} . S_2 = {2,3}, S_ 3 = {4,5,6} S_4 = {7,8,9,10}, S_5 = {11,12,13,14,15}:etc. On which set the sum of all the elements of the set is even :

A person is entitled to receivean annualpayment whichfor each year is less by one tenth of what it was for the year before . If the first first payment is 100, then find the maximum possible payment which be can receive however long he may live :

Find the sum of the series 2sqrt3 , 2sqrt2 , 4/(sqrt3) , ….

Find (x+y+z)^(3)-(x+y-z)^(3)-(y+z-x)^(3) -(z + x-y)^(3)

How many times does the sum of 3780 and 2835 contains their differences?

If bsinalpha=asin(alpha+2beta), then (a+b)/(a-b)=?

Find the values of sqrt(6sqrt(6sqrt(6sqrt(6sqrt(6))))).

Two numbers 875 and 2272 are divided by a 3- digit number and leaves same remainder in each case. Find the sum of digit of that number.

A rectangle has a perimeter of 26 . How many combinations of integral valued length arepossible ?

Nehru Ji had n chocolates. He distributed them among 4 children in the ratio of 1/2:1/3:1/5:1/8. If he gave them each one a complete chocolate, the minimum no. of cholocates that he had

If log 2=0.3010 and 5^x=400, then the value of x is :

Two circles of unit radii, are so drawn that the centre of each lies on the circuference of the other. The area of the region , common to both the circles, is :

Find the sum of 222, 224, 226. ..., 888:

Find the remainder obtained when [43^(101)+23^(101)] is divided by 66.

Simplify (3/2 + 1/2xx 3/2)/(3/2+1/2 of 3/2)+1/8

Cost of erecting a fence round a square field of 625 hectares at 15 paise per metre is

If 2x^(2) +kx + 8 is divided by (x+2) leaves remainder 3k find k =?

A clock is set right at 8 am. The clock gains 10 min in 24 h. What will be the right time when the clock indicates 1 pm of the following day ?

8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel , A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is :

If A and Bbe twoeventsin a samplespace suchthatP(A)= 3/(10)andp(B) = 1/2and P (A nn B ) = 1/5. FindP (A uu B).

N, the set of natural numbers, is partitioned into subsets S1 ={1},S2 ={2,3},S3 ={4,5,6},S4 ={7,8,9,10}. The last term of these groups is 1,1+2,1+2+3,1+2+3+4, so on. Find the sum of the elements in the subset S50 .