8677 + Interview Questions in Maths in Class 14 Page 26 InterviewSolution

1251.	If a quadratic equation has one real root then the other root will necessarily be
Answer» real equal complex CONJUGATE RATIONAL and unequal Answer :A

Discussion

1252.	450 litres of a mixture of milk and water contain the milk and water in the ratio 9:1. How much water should be added to get a new mixture containing milk and water in the ratio 3:1?
Answer» 54 90 45 63 Answer :B

Discussion

1253.	The average of Sohan's marks in 6 subjects is 74. If his average in five subjects excluding science is 70, how many marks he obtained in science?
Answer» 88 90 92 94 Answer :D

Discussion

1254.	AB and CD are two chords of a circle meeting externally at P. Then, which of the following is/are correct? I.PAxPD = PCxPB. traingle PAC and traingle PDB are similar. Select the correct answer using the codes given below.
Answer» Only I Only II Both I and II Neither I nor II Answer :D

Discussion

1255.	If x+1/y =1 and y + 1/z =1 then find the value of z + 1/x
Answer» ANSWER :1

Discussion

1256.	If x+ (1)/(x)=1, find x^(23) + (1)/(x^(23))=
Answer» ANSWER :1

Discussion

1257.	If A and B are complementary angles, find the value of sqrt((tanAtanB+cotAcotB)/(sinAsecB)-(sin^(2)B)/(cos^(2)A))
Answer» 5 `SQRT(2)` 1 3 Answer :C

Discussion

1258.	The set of netural numbers is closed under the binary operations of :
Answer» addition , subtraction, MULTIPLICATION and DIVISION addition, subtraction , multiplication but not division addition and multiplication but not subtraction and division addtion and SUBSTRACTION but not multiplication and division Answer :C

Discussion

1259.	How many different nine-digit numbers can be formed from the digits of the number 223355888 by rearrangement of the digits so that the odd digits occupy even places:
Answer» 60 75 88 77 Answer :A

Discussion

1260.	In the given figure, anglea is greater than one sixth of right angle, then :
Answer» `B gt 165^(@)` `b lt 165^(@)` `b le165^(@)` `b GE 165^(@)` ANSWER :B

Discussion

1261.	A, B and C can finish a piece of work in 20 days, 25 days and 30 days respectively. They started working together. After how many days A should leave the work so that total work will be complete in 12 days?
Answer» ANSWER :`2(2)/(5)` DAYS

Discussion

1262.	A sum of money trebles (i.e., 3 times) in 15 years at r% of simple interest per annum . What is the value of r ?
Answer» `12%` `40/3%` `50/3%` can't be determined Answer :B

Discussion

1263.	A is thrice as efficient as B.A and B cam complete a piece of work in 12 days. Find the number of days in which A alone complete it.
Answer» 15 10 8 can’t be determined Answer :C

Discussion

1264.	302.46+395.72-123.47=?
Answer» 576.77 547.17 547.77 574.71 Solution :`?=302.46+395.72-123.47` `=698.18-123.47=574.71`

Discussion

1265.	Find the total number of quadrilaterals in a square having 10 rows and 10 columns.
Answer» 3025 7744 2401 2601 Answer :A

Discussion

1266.	A batsman's runs just before the last match of the season, adds up to 750. In his last two innings, he scores only 6 runs, and his average drops by 2. Find his final average of the season.
Answer» ANSWER :28

Discussion

1267.	The product of two numbers is 216 and their HCF is 6 . Find the lcm of two number.
Answer» 52 46 34 36 Answer :D

Discussion

1268.	If 2^p + 1 is a prime number, then p must be power of:
Answer» 2 3 5 6 Answer :A

Discussion

1269.	Solve the following : If a^x = b, b^y = c and c^z = a , then the value of xyz is
Answer» 0 1 x + y + Z ABC ANSWER :B

Discussion

1270.	If α,β are the roots of x^(2)-x+2=0then α^3 β+αβ^3
Answer» a. -6 B. 6 c. -10 d. all of the abvoe Answer :B

Discussion

1271.	A man buys an article for rs. 27.50 and sells it for rs. 28.60. Find the gain percent.
Answer» a. 4% B. 3% c. 5% d. 10% ANSWER :B

Discussion

1272.	A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:
Answer» a) 1 km/hr b) 1.5 km/hr c) 2 km/hr d) 2.5 km/hr Answer :4.8 MIN.

Discussion

1273.	A scientific calculator is available at Universal Shoppe in Hazratganz at 20% discount and the same is available at only 15% discount at Universal Shoppe Bhootnath Market. Ms. Aggarwal has just sufficient amount of ₹ 800 to purchase it at Universal Shoppe Hazratganz. What is the amount that Ms. Aggarwal has less than the required amount to purchase it at Universal Shoppe Bhootnath?
Answer» ₹ 70 ₹ 50 ₹ 100 data insufficient Answer :B

Discussion

1274.	If the graph of the function f(x)=(a^(x)-1)/(x^(n)(a^(x)+1)) is symmetric about y - axis, then n is equal to :
Answer» `a. -(1)/(3)` B. `(1)/(4)` c. `2//3` d. 2 Answer :A

Discussion

1275.	A factory produces 1514 items in 3 days. How many items will they produce in a week ?
Answer» 3530 3553 3533 3535 Solution :Number of items PRODUCED in 3 days = 1515 Number of items produced in 1 DAY `= 1515/3` REQUIRED number of items `= (1515xx7)/3 = 3535`

Discussion

1276.	(cot^(2)15^(@)-1)/(cot^(2)15^(@)+1)=?
Answer» `(SQRT(3))/(2)` `(2)/(sqrt(3))` 1 0 Answer :B::C

Discussion

1277.	Find the coordinates of the circumcentre of the triangle whose verticesare (8,6),(8-2)a d n(2,-2)dotAlso, find its circum-radius.
Answer» (2,3) (5,2) (5, 3) (7, 2) Answer :B

Discussion

1278.	If the angles of a triangle are in the ratio 1:4:7, then the value of the largest angle is :
Answer» `135^@` `84^@` `105^@` NONE of the above Answer :C

Discussion

1279.	When a child goes to school at the speed of 5 km/h reaches 6 minutes late and when he goes at the speed of 6 km/ he reaches 6 minutes early. Find the distance between his home and school.
Answer» ANSWER :6 KM

Discussion

1280.	P,Q and R invested in a business in the ratio 6:8:9. If Q invested for a peroid whose numerical value is 112.5% of Q's investement but P and Rinvested for one year. If profit of Q at the end of the year is 6750 then what is the share of profit of R ?
Answer» 14135 10145 11350 10125 Solution :ACCORDING to QUESTION, will be SHARED in ratio of P,Q and R. `12xx6:8xx((9)/(8)xx8):9xx12=12xx6:8xx9:9xx12` `=2:2:3` R's Profit `=(6750)/(2)xx3=10125`.

Discussion

1281.	The perimeterof a rectangle and an equilateral triangle are same. Also , one of the sides of the rectangle is equal to the side of the triangle. The ratio of the areas of the rectangle and the triangle is :
Answer» `SQRT3:1` `1:sqrt3` `2:sqrt3` `4:sqrt3` Answer :C

Discussion

1282.	In the above problem what is the least possible number of 5 digits which divisible by all the number 32, 36 and 40.
Answer» Solution :Since the least possible no. is 1440, but it is a four digit number. So we can take the INTEGRAL multiples of 1440 which must be divisible by the given numbers. Now since the least possible 5 digit is 10000, so the REQUIRED must be EQUAL to or GREATER than 10000. So when we multiply 1440 by 7 . We get the required result i.e. , 10,080. Thus 10080 is the least possible 5 digit number which is divisible by 32, 36 and 40.

Discussion

1283.	In the following diagram, ABCDE is a pentagon such that each side is of unit length, how many of the following relations is /are correct? BE\|\|CD and AC\|\|ED and AD\|\|BC triangleBCF~ triangleFAG triangleAFB~triangleBAE~triangleABC BF^2=GF triangleBCF: triangleFAG =1:FG
Answer» a. `sqrt61m` B. `sqrt16m` C. `sqrt36m` d. `sqrt77m` ANSWER :D

Discussion

1284.	6 men and 8 women can do a job in 10'days. In how many days can 3 men and 4 women finish the same job working together?
Answer» ANSWER :20

Discussion

1285.	At some rate of simple interest, A lent Rs. 6000 to B for 2 years and Rs. 1500 to C for 4 years and received Rs. 900 as interest from both of them together. The rate of interest per annum was:
Answer» a. `4%` b. `8%` C. `10%` d. `5%` ANSWER :D

Discussion

1286.	There are 8 points, in a plane, how many different triangles can be formed using these points (no three points are collinear)?
Answer» 53 32 35 56 Answer :A

Discussion

1287.	Charles has right circular cylinderwhich he inserted completely into a right circular cone of height 30 cm. The vertical angle of the cone is60^(@) and the diameter of the cylinder is8 sqrt(3) cm. Whatis the volume of the cone ?
Answer» `3000/7 PI cm^3` `3000 pi cm^3` `4860 pi cm^3` can't be determined Answer :B

Discussion

1288.	Eleven years earlier the average age of a family of 4 members was 28 years. Now the age of the same family with six membersit yet the same even when 2 children were born in his period. If they belong to the same parents and the age of the first child at the time of the birth of the younger child was same as there were total family members just after the birth of the youngest member of this family, then the present age of the youngest age of the family is :
Answer» 3 years 5 years 6 years none of these Answer :A

Discussion

1289.	Abhinav started for the station half a km from his home walking at 1 km/h to catch the train in time.After minutes he realized that he had forgotten a document at home and returned with increased,but constant speed to get it suceeded in catching the train.find his latter speed in km/h:
Answer» 1.25 1.1 44509 2 Answer :C

Discussion

1290.	factorize the following numbers into the prime factors 1197
Answer» SOLUTION :`3xx3xx7xx19`

Discussion

1291.	25 men and 15 women can complete a piece of work in 12 days. All of them start working together and after working for 8 days, the women stopped working 25 men completed the remaining work in 6 days. How many days will it take for completing the entire job, if only 15 women are put on the job?
Answer» 48 days 24 days 36 days 60 days Answer :C

Discussion

1292.	Find the number of ways of putting five distinct rings on four fingers of the left hand. (Ignore the difference of size of rings and the fingers)
Answer» 1024 6720 5260 none of these Answer :B

Discussion

1293.	The value of theta for which sqrt3costheta+sintheta=1 is:
Answer» 0 `pi/3` `pi/6` `pi/2` ANSWER :D

Discussion

1294.	Find the values of x for the given equation 3x^(2) + 5x-2=0
Answer» `(20/9,24)` (6,24) (5,24) `(20/9,OO)` ANSWER :C

Discussion

1295.	A path of uniform width runs round the inside of a rectangular field 38 m long and 32 m wie. If the path occupies 600 m^(2), then the width of the path is
Answer» a.1m b.1.5 m C.2 m d.4 m ANSWER :C

Discussion

1296.	A thief is noticed by a policeman from a distance of 200m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10km/hr and 11km/hr respectively. What is the distance between them after 6 minutes?
Answer» 100m 180 m 150 m 125 m Answer :A

Discussion

1297.	Find the largest number which can divided x,y,z and leaves remainder a,b,c
Answer» ANSWER :LCM of x,y,Z -kK= x-a = y -B = z-c

Discussion

1298.	A shopkeepers announce the same price of Rs. 700 for a shirt. The first offers successive discounts of 30% and 6% while the second offers successive discounts of 20% and 16%. The shopkeeper that offers better discount is more of
Answer» ANSWER :0.098

Discussion

1299.	a"@"b=\|a-b\| a**b=ab a#b=\|a^(2)-b^(2)\| aDeltab=a^(2)+b^(2) where a, b in R and a neb and the real algebraic operations are unchanged. Find the value of (aDeltab)+(a#b):
Answer» `2a^2` `2b^2` `2(a^2+b^2)` can't be determined Answer :D

Discussion

1300.	a"@"b=\|a-b\| ab=ab a#b=\|a^(2)-b^(2)\| aDeltab=a^(2)+b^(2) where a, b in R and a neb and the real algebraic operations are unchanged. The value of the expression [(a#b)div(a"@"b)]^(2)-2(ab):
Answer» a#B `ADELTAB` (a#b)(a@b) can't be determined Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

If a quadratic equation has one real root then the other root will necessarily be

450 litres of a mixture of milk and water contain the milk and water in the ratio 9:1. How much water should be added to get a new mixture containing milk and water in the ratio 3:1?

The average of Sohan's marks in 6 subjects is 74. If his average in five subjects excluding science is 70, how many marks he obtained in science?

AB and CD are two chords of a circle meeting externally at P. Then, which of the following is/are correct? I.PAxPD = PCxPB. traingle PAC and traingle PDB are similar. Select the correct answer using the codes given below.

If x+1/y =1 and y + 1/z =1 then find the value of z + 1/x

If x+ (1)/(x)=1, find x^(23) + (1)/(x^(23))=

If A and B are complementary angles, find the value of sqrt((tanAtanB+cotAcotB)/(sinAsecB)-(sin^(2)B)/(cos^(2)A))

The set of netural numbers is closed under the binary operations of :

How many different nine-digit numbers can be formed from the digits of the number 223355888 by rearrangement of the digits so that the odd digits occupy even places:

In the given figure, anglea is greater than one sixth of right angle, then :

A, B and C can finish a piece of work in 20 days, 25 days and 30 days respectively. They started working together. After how many days A should leave the work so that total work will be complete in 12 days?

A sum of money trebles (i.e., 3 times) in 15 years at r% of simple interest per annum . What is the value of r ?

A is thrice as efficient as B.A and B cam complete a piece of work in 12 days. Find the number of days in which A alone complete it.

302.46+395.72-123.47=?

Find the total number of quadrilaterals in a square having 10 rows and 10 columns.

A batsman's runs just before the last match of the season, adds up to 750. In his last two innings, he scores only 6 runs, and his average drops by 2. Find his final average of the season.

The product of two numbers is 216 and their HCF is 6 . Find the lcm of two number.

If 2^p + 1 is a prime number, then p must be power of:

Solve the following : If a^x = b, b^y = c and c^z = a , then the value of xyz is

If α,β are the roots of x^(2)-x+2=0then α^3 β+αβ^3

A man buys an article for rs. 27.50 and sells it for rs. 28.60. Find the gain percent.

A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:

If the graph of the function f(x)=(a^(x)-1)/(x^(n)(a^(x)+1)) is symmetric about y - axis, then n is equal to :

A factory produces 1514 items in 3 days. How many items will they produce in a week ?

(cot^(2)15^(@)-1)/(cot^(2)15^(@)+1)=?

Find the coordinates of the circumcentre of the triangle whose verticesare (8,6),(8-2)a d n(2,-2)dotAlso, find its circum-radius.

If the angles of a triangle are in the ratio 1:4:7, then the value of the largest angle is :

When a child goes to school at the speed of 5 km/h reaches 6 minutes late and when he goes at the speed of 6 km/ he reaches 6 minutes early. Find the distance between his home and school.

P,Q and R invested in a business in the ratio 6:8:9. If Q invested for a peroid whose numerical value is 112.5% of Q's investement but P and Rinvested for one year. If profit of Q at the end of the year is 6750 then what is the share of profit of R ?

The perimeterof a rectangle and an equilateral triangle are same. Also , one of the sides of the rectangle is equal to the side of the triangle. The ratio of the areas of the rectangle and the triangle is :

In the above problem what is the least possible number of 5 digits which divisible by all the number 32, 36 and 40.

In the following diagram, ABCDE is a pentagon such that each side is of unit length, how many of the following relations is /are correct? BE||CD and AC||ED and AD||BC triangleBCF~ triangleFAG triangleAFB~triangleBAE~triangleABC BF^2=GF triangleBCF: triangleFAG =1:FG

6 men and 8 women can do a job in 10'days. In how many days can 3 men and 4 women finish the same job working together?

At some rate of simple interest, A lent Rs. 6000 to B for 2 years and Rs. 1500 to C for 4 years and received Rs. 900 as interest from both of them together. The rate of interest per annum was:

There are 8 points, in a plane, how many different triangles can be formed using these points (no three points are collinear)?

Charles has right circular cylinderwhich he inserted completely into a right circular cone of height 30 cm. The vertical angle of the cone is60^(@) and the diameter of the cylinder is8 sqrt(3) cm. Whatis the volume of the cone ?

Abhinav started for the station half a km from his home walking at 1 km/h to catch the train in time.After minutes he realized that he had forgotten a document at home and returned with increased,but constant speed to get it suceeded in catching the train.find his latter speed in km/h:

factorize the following numbers into the prime factors 1197

25 men and 15 women can complete a piece of work in 12 days. All of them start working together and after working for 8 days, the women stopped working 25 men completed the remaining work in 6 days. How many days will it take for completing the entire job, if only 15 women are put on the job?

Find the number of ways of putting five distinct rings on four fingers of the left hand. (Ignore the difference of size of rings and the fingers)

The value of theta for which sqrt3costheta+sintheta=1 is:

Find the values of x for the given equation 3x^(2) + 5x-2=0

A path of uniform width runs round the inside of a rectangular field 38 m long and 32 m wie. If the path occupies 600 m^(2), then the width of the path is

A thief is noticed by a policeman from a distance of 200m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10km/hr and 11km/hr respectively. What is the distance between them after 6 minutes?

Find the largest number which can divided x,y,z and leaves remainder a,b,c

A shopkeepers announce the same price of Rs. 700 for a shirt. The first offers successive discounts of 30% and 6% while the second offers successive discounts of 20% and 16%. The shopkeeper that offers better discount is more of

a"@"b=|a-b| a**b=ab a#b=|a^(2)-b^(2)| aDeltab=a^(2)+b^(2) where a, b in R and a neb and the real algebraic operations are unchanged. Find the value of (aDeltab)+(a#b):

a"@"b=|a-b| a**b=ab a#b=|a^(2)-b^(2)| aDeltab=a^(2)+b^(2) where a, b in R and a neb and the real algebraic operations are unchanged. The value of the expression [(a#b)div(a"@"b)]^(2)-2(a**b):

a"@"b=|a-b| ab=ab a#b=|a^(2)-b^(2)| aDeltab=a^(2)+b^(2) where a, b in R and a neb and the real algebraic operations are unchanged. The value of the expression [(a#b)div(a"@"b)]^(2)-2(ab):