8677 + Interview Questions in Maths in Class 14 Page 153 InterviewSolution

7601.	findthe number of threedigitnumbers( repetitionsallowed ) suchthatatleast one of thedigits is 9 .
Answer» a. 252 b. 648 c. 468 d. 864 Answer :A

Discussion

7602.	Points A(6,6) ,B(2,3) and C(4,7) are the vertices of a triangle which is:
Answer» RIGHT ANGLED acute angled obtuse angled NONE of these Answer :A

Discussion

7603.	A clock is set right at 9 am the clock gains 10 min in 24 h what will be truetime when the clock indicates 2 pm on the following day
Answer» 12 o clock `11` PM `9` pm `2` pm ANSWER :A

Discussion

7604.	The unit digit of the product of n consecutive numbers of the form 2k+1, where k in I^+ and n must be at least 5.
Answer» zero any ODD number 5 BOTH (B) AND (C) ANSWER :C

Discussion

7605.	Pankaj walked at 5 km/h for certain part of the journey and then he took an auto for the remaining part of the journey travelling at 25 km/h if he took 10 hours for the entire journey.What part of jopurney did he travelled by auto if the average speed of the entire journey be 17 km/h:
Answer» 750 km 100 km 150 km 200 km Answer :C

Discussion

7606.	A takes 5 days more than B and 9 days more than C to complete a work. C works as much as (A + B) works together. In how many days will B and C together complete this work ?
Answer» ANSWER :`3(3)/(4)` DAYS

Discussion

7607.	Find the value of K for which x=2 is a root of the equation 3x^(2)-2Kx+5=0.
Answer» `(-6-2)UU(-2,0)` `(-8,0)` `(-6,-2)uu{2}` NONE of these Answer :A

Discussion

7608.	If sin(x+y)=cos[3(x+y)], then the value of tan[2(x+y)] is.
Answer» 5 7 1 3 Answer :C

Discussion

7609.	O is orthocentre of a triangle PQR, which is formed by joining the mid- points of the sides of a triangle ABC, is :
Answer» orthocentre incentre circumcentre centroid Answer :C

Discussion

7610.	trader can procure 34 pencils by selling 28 pencils. What is the ratio of cost price to the selling price of a pencil
Answer» 0.823529411764 0.59513888888889 0.37986111111111 0.17152777777778 Answer :B

Discussion

7611.	If 0lt theta lt 90^(@), the (sin theta+cos theta) is :
Answer» LESS than 1 equal to 1 greater than 1 greater than 2 Answer :C

Discussion

7612.	If a,b,c are in GP, then log_ad,log_bd,log_cd are in :
Answer» AP HP GP none of these Answer :B

Discussion

7613.	At compound interest , if a certain sum of money doubles in n years , then the amount will be four fold in :
Answer» `n^2` YEARS `2n^2` years 2n years 4n years ANSWER :C

Discussion

7614.	In a 1 km race, A beats B by 30 seconds and B beats C by 15 seconds. If A beats C by 180 m, Find the time taken by A to run 1 km.
Answer» SOLUTION :N/A

Discussion

7615.	Which one of the following options is correct in the given expression? 1 + [1 div {5 div 4 - 1 div (13 div 3 - 1 div 3)}] equal to :
Answer» `2//5` 2 `3//2` NONE of these Answer :B

Discussion

7616.	Graph Line passin through (0,0) having constant term O ax+by+c=0" "(a!=0,b!=0,c=0) passes through
Answer» (0,0) (0,1) (1,1) (10,17) ANSWER :A::C

Discussion

7617.	If costheta-sintheta=sqrt(2)costheta, then find the value of costheta+sintheta.
Answer» `SQRT(2)COSTHETA` `sqrt(2)sintheta` `2sintheta` `sqrt(2)tantheta` ANSWER :B

Discussion

7618.	(2^(35))/(10)Find R .
Answer» ANSWER :`=8`

Discussion

7619.	Multiply 369 by 25.
Answer»

Discussion

7620.	Answer these two questions based on the following information. Khayamati is not just a foodie and extravagant but also a party animal. On her birthday her friends got an elephant size cake that was supposed to be disturbed among all her friends. The cake was cylindrical in shape. To cut this cake they got a very large knife which was able to cross through the whole cake from any direction or angle. That is a single cut would be enough to make two pieces of the whole cake. By the way, they made n cuts to the cake from any arbitrary direction they could make. It was notable that until all the n cuts were done no one removed even a single piece. After cutting the cake if they got total 300 pieces, find the minimum possible number of cuts required.
Answer» 13 17 11 12 Answer :A

Discussion

7621.	Answer these two questions based on the following information. Khayamati is not just a foodie and extravagant but also a party animal. On her birthday her friends got an elephant size cake that was supposed to be disturbed among all her friends. The cake was cylindrical in shape. To cut this cake they got a very large knife which was able to cross through the whole cake from any direction or angle. That is a single cut would be enough to make two pieces of the whole cake. By the way, they made n cuts to the cake from any arbitrary direction they could make. It was notable that until all the n cuts were done no one removed even a single piece. If n=6, find the maximum possible number of pieces that can be sliced out of that cake.
Answer» 32 62 42 22 Answer :C

Discussion

7622.	A man bought a car for Rs. 60000 and spent 10% of the cost of the car for purchase of new tyres. At what price should he sell the car to make a gain of 15%?
Answer» ANSWER :75900 RS

Discussion

7623.	Let A=R-{3},B=R-{1},and let f: AvecBbe defined by f(x)=(x-2)/(x-3)is finvertible? Explain.
Answer» F is bijective f is one-one only f is ONTO only f is one-one but not onto Answer :A

Discussion

7624.	If n is a positive integer, then ubrace(111...1)_("2n times")-ubrace(222....2)_("n times") is :
Answer» a PERFECT square a perfect cube prime number none Answer :A

Discussion

7625.	Evaluate the following : sqrt(39) xx sqrt((75)/(2197))
Answer» SOLUTION :`1 2/13`

Discussion

7626.	After some time the volunteers who were involved in all the three tasks were asked to withdraw from one task. As a result, one of the volunteers opted out of the Body Massage and one opted out of the Pooja, while the remaining ones involved in all the three tasks opted out of the Yoga. Which of the following statements, then, necessarily follows?
Answer» 1 3 4 5 Answer :C

Discussion

7627.	Find the total number of quadrilaterals in a rectangle having 8 rows and 15 columns.
Answer» 4321 4320 1234 5440 Answer :B

Discussion

7628.	If a denotes the number of permutations of x+2 things taken all at a time, b the number of permutations of x things taken 11 at a time and c the number of permutations of x -11 things taken all at a time such that a=182bc, then the value of x will be
Answer» A. 12 B. -12 C. 6 D. none of these Answer :C

Discussion

7629.	If m parallel lines in a plane are intersected by a family of n parallel lines, then the number of parallelograms that can be formed is
Answer» `m^N` (m+1)(n+1) `(m-n)/n!` `MN(n-1)(n-1)/4` ANSWER :D

Discussion

7630.	If simple interest on Rs. 400 is 256 and the rate of interest per annum equal to the number of years, then find the rate of interest.
Answer» ANSWER :0.08

Discussion

7631.	If x+ (1)/(x)= -sqrt3 find x^(17) + (1)/(x^(17))
Answer» ANSWER :`SQRT3`

Discussion

7632.	A trader marks up the goods by 40% andallows a discount of 26.67% on the marked price. If he objects a decent 120% profit on the goods sold, how much- per-cent more does his balance display the weight than what it displays when it is not faulty?
Answer» 14.28 53.33 114.28 46.67 Answer :C

Discussion

7633.	If x+ (1)/(x) = sqrt3 find x^(17) + (1)/(x^(17))
Answer» ANSWER :`-SQRT3`

Discussion

7634.	A man sells a bicycle at a gain of 10%.If he had bought it at 10% less and sold it for ₹ 132 less, he would have still gained 10% .The cost price of the article is :
Answer» ₹ 1000 ₹ 1200 ₹ 1500 ₹ 1320 Answer :B

Discussion

7635.	If sectheta=a+(1)/(4a), and 0
Answer» a 2a 3a 4a Answer :B

Discussion

7636.	Sania always beats Plexur in tennis, but loses to Venus. Lindse usually beats Plexur and sometimes Sania, but cannot win against Venus. The worst player can be:
Answer» Venus Plexur Sania Can't say Answer :B

Discussion

7637.	724 / 25 xx 31.05 + 101 = ?
Answer» a. 900 B. 1000 c. 950 d. 1050 Answer :B

Discussion

7638.	(sin^(8)theta-cos^(8)theta)/(cos2theta(1+cos^(2)2theta))=?
Answer» 1 `-(1)/(2)` `-1` 2 Answer :A::B

Discussion

7639.	If f(x)=Sgn x and g(x)=1+x-[x], then for all x, f(g(x)) is equal to :
Answer» 0 1 X f(x) ANSWER :B

Discussion

7640.	The ratio of cost price and the marked price of an article is 2 : 3 and ratio of percentage profit and percentage discount is 3 : 2 . What is the discount percentage?
Answer» `16.66%` `20%` `25%` `33.33%` ANSWER :A

Discussion

7641.	In how manyways can 5 rings of differents type can be worn in 4 fingers ?
Answer» a. 1024 B. 6720 c. 5260 d. NONE of these Answer :B

Discussion

7642.	There are 6 consecutive odd numbers in increasing order. The difference between the average of the squares of the first 4 numbers and the last 4numbers is 64. If the sum of the squares of the first and the last element (i.e., odd numbers) is 178, then find the average of all the six numbers.
Answer» ANSWER :72.1

Discussion

7643.	Distance between A and B is 650 km. When they move towards each other they meet in 10 hours. If A starts moving after 4 hours 20 minutes than B then they meet in 8 hours. Find out their speeds.
Answer» ANSWER : 35 km/h, 30 km/h

Discussion

7644.	For every p being real number the solution set of the inequality log_10P+(log_(10)10p)^2+(log_(10)100p)^2lelog_10(10)^9
Answer» `pge10^-4` `pgt10^(1//2)` `10^-4leple10^(1//2)` NONE of the above Answer :C

Discussion

7645.	When 50 is added to the 50% of a number, then the number becomes itself. The required number is :
Answer» 375 100 150 500 Answer :B

Discussion

7646.	Solve for x:x^(6)-26x^(3)-27=0
Answer» ANSWER :`x=-1 or x=3`

Discussion

7647.	squareABCD is a parallelogram, AB = 14 cm, BC =18 cm and AC = 16 cm. Find the length of the other diagonal:
Answer» 24 cm 28 cm 36 cm 32 cm Answer :B

Discussion

7648.	How manynumbersgreaterthan5000can beformedwiththe digits ,3,5,7,8,9 no digit beingrepeated ?
Answer» 216 126 512 252 Answer :A

Discussion

7649.	The quadratic equation ax^(2)+bx+c=0 has real roots if:
Answer» the randomly CHOSEN POINT lies between both the roots the randomly chosen both the points lie between the roots only ONE root lies between the two randomly chosen points all of the.above Answer :D

Discussion

7650.	If a and b are two integers which are multiples of 5, which of the followin is not necessarily true?
Answer» a-B is DIVISIBLE by 5 a+b is divisible by 10 `a^2-b^2` is divisible by 5 none of above Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

findthe number of threedigitnumbers( repetitionsallowed ) suchthatatleast one of thedigits is 9 .

Points A(6,6) ,B(2,3) and C(4,7) are the vertices of a triangle which is:

A clock is set right at 9 am the clock gains 10 min in 24 h what will be truetime when the clock indicates 2 pm on the following day

The unit digit of the product of n consecutive numbers of the form 2k+1, where k in I^+ and n must be at least 5.

Pankaj walked at 5 km/h for certain part of the journey and then he took an auto for the remaining part of the journey travelling at 25 km/h if he took 10 hours for the entire journey.What part of jopurney did he travelled by auto if the average speed of the entire journey be 17 km/h:

A takes 5 days more than B and 9 days more than C to complete a work. C works as much as (A + B) works together. In how many days will B and C together complete this work ?

Find the value of K for which x=2 is a root of the equation 3x^(2)-2Kx+5=0.

If sin(x+y)=cos[3(x+y)], then the value of tan[2(x+y)] is.

O is orthocentre of a triangle PQR, which is formed by joining the mid- points of the sides of a triangle ABC, is :

trader can procure 34 pencils by selling 28 pencils. What is the ratio of cost price to the selling price of a pencil

If 0lt theta lt 90^(@), the (sin theta+cos theta) is :

If a,b,c are in GP, then log_ad,log_bd,log_cd are in :

At compound interest , if a certain sum of money doubles in n years , then the amount will be four fold in :

In a 1 km race, A beats B by 30 seconds and B beats C by 15 seconds. If A beats C by 180 m, Find the time taken by A to run 1 km.

Which one of the following options is correct in the given expression? 1 + [1 div {5 div 4 - 1 div (13 div 3 - 1 div 3)}] equal to :

Graph Line passin through (0,0) having constant term O ax+by+c=0" "(a!=0,b!=0,c=0) passes through

If costheta-sintheta=sqrt(2)costheta, then find the value of costheta+sintheta.

(2^(35))/(10)Find R .

Multiply 369 by 25.

A man bought a car for Rs. 60000 and spent 10% of the cost of the car for purchase of new tyres. At what price should he sell the car to make a gain of 15%?

Let A=R-{3},B=R-{1},and let f: AvecBbe defined by f(x)=(x-2)/(x-3)is finvertible? Explain.

If n is a positive integer, then ubrace(111...1)_("2n times")-ubrace(222....2)_("n times") is :

Evaluate the following : sqrt(39) xx sqrt((75)/(2197))

Find the total number of quadrilaterals in a rectangle having 8 rows and 15 columns.

If a denotes the number of permutations of x+2 things taken all at a time, b the number of permutations of x things taken 11 at a time and c the number of permutations of x -11 things taken all at a time such that a=182bc, then the value of x will be

If m parallel lines in a plane are intersected by a family of n parallel lines, then the number of parallelograms that can be formed is

If simple interest on Rs. 400 is 256 and the rate of interest per annum equal to the number of years, then find the rate of interest.

If x+ (1)/(x)= -sqrt3 find x^(17) + (1)/(x^(17))

A trader marks up the goods by 40% andallows a discount of 26.67% on the marked price. If he objects a decent 120% profit on the goods sold, how much- per-cent more does his balance display the weight than what it displays when it is not faulty?

If x+ (1)/(x) = sqrt3 find x^(17) + (1)/(x^(17))

A man sells a bicycle at a gain of 10%.If he had bought it at 10% less and sold it for ₹ 132 less, he would have still gained 10% .The cost price of the article is :

If sectheta=a+(1)/(4a), and 0

Sania always beats Plexur in tennis, but loses to Venus. Lindse usually beats Plexur and sometimes Sania, but cannot win against Venus. The worst player can be:

724 / 25 xx 31.05 + 101 = ?

(sin^(8)theta-cos^(8)theta)/(cos2theta(1+cos^(2)2theta))=?

If f(x)=Sgn x and g(x)=1+x-[x], then for all x, f(g(x)) is equal to :

The ratio of cost price and the marked price of an article is 2 : 3 and ratio of percentage profit and percentage discount is 3 : 2 . What is the discount percentage?

In how manyways can 5 rings of differents type can be worn in 4 fingers ?

There are 6 consecutive odd numbers in increasing order. The difference between the average of the squares of the first 4 numbers and the last 4numbers is 64. If the sum of the squares of the first and the last element (i.e., odd numbers) is 178, then find the average of all the six numbers.

Distance between A and B is 650 km. When they move towards each other they meet in 10 hours. If A starts moving after 4 hours 20 minutes than B then they meet in 8 hours. Find out their speeds.

For every p being real number the solution set of the inequality log_10P+(log_(10)10p)^2+(log_(10)100p)^2lelog_10(10)^9

When 50 is added to the 50% of a number, then the number becomes itself. The required number is :

Solve for x:x^(6)-26x^(3)-27=0

squareABCD is a parallelogram, AB = 14 cm, BC =18 cm and AC = 16 cm. Find the length of the other diagonal:

How manynumbersgreaterthan5000can beformedwiththe digits ,3,5,7,8,9 no digit beingrepeated ?

The quadratic equation ax^(2)+bx+c=0 has real roots if:

If a and b are two integers which are multiples of 5, which of the followin is not necessarily true?