8677 + Interview Questions in Maths in Class 14 Page 169 InterviewSolution

8401.	The volume of a wall , 3 times as high as it is broad and 8 times as long as it is high,is36.864 m^(3). The height of the wall is :
Answer» 1.8 m 2.4 m 4.2 m none of these Answer :B

Discussion

8402.	If sinx+cosx=c, then sin^(6)x+cos^(6)x is equal to
Answer» `(1+6c^(2)-3c^(4))/(16)` `(1+6c^(2)-3c^(4))/(4)` `(1+6c^(2)+3c^(4))/(16)` `(1+6c^(2)+3c^(4))/(4)` ANSWER :B

Discussion

8403.	If (p)/(a) + (q)/(b) + (r )/(c )=1 " & " (a)/(p) + (b)/(q) + (c )/(r )=0 find (p^(2))/(a^(2)) + (q^(2))/(b^(2)) + (r^(2))/(c^(2))= ?
Answer» ANSWER :1

Discussion

8404.	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 journey 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

8405.	(32^(32^(32)))/(7) find Remainder.
Answer» ANSWER :`=4`

Discussion

8406.	By selling an article for 21, a man lost such that the percentage loss was equal to the cost price. The cost price of the article is :
Answer» ANSWER :30 or 70

Discussion

8407.	Solve the following equations 3x+5y=9 and 2x+3y=4 (a)by substitution method (b) by elimination method (c) by comparison method
Answer» ANSWER :`x=-7 and y=6`

Discussion

8408.	What will be the compound interest on a sum of Rs. 1875 after 2 years if the rate of interest for the first year is 4% and that for the second year is 8%?
Answer» ANSWER :RS. 231

Discussion

8409.	Simplify the following expressions : 27/28 div 6/14
Answer»

Discussion

8410.	A man standing on a platform finds that a train takes 3 seconds to pass him and another train of the same length moving in the opposite direction, takes 4 seconds. Thetime taken by the trains to pass each other will be
Answer» 35 36.5 40/9 none of these Answer :C

Discussion

8411.	A can do a certain job in 15 days. B is 50% more efficient than A. Then B can do the same piece of work in
Answer» 15 10 12 17 Answer :D

Discussion

8412.	At out training institute we have p - 1, p - 2, p - 3 and p - 4 processors in the ratio of 1/6, 1/5, 1/3 and 1/2 respectively. Minimum number of processors in out institute is :
Answer» 16 30 32 36 Answer :D

Discussion

8413.	Convert (725)_(10) to hexadecimal.
Answer» SOLUTION :

Discussion

8414.	If a= 20, b= 25, c= 15 find (a^(3) +b^(3) + c^(3)- 3 abc)/(a^(2) + b^(2) + c^(2) - ab- bc - ca)= ?
Answer» ANSWER :60

Discussion

8415.	The remainder when 8^1785 is divided by 7 is:
Answer» 5 1 6 can't be determined Solution :because`(a+1)^n/a` LEAVES ALWAYS REMAINDER 1.So `8^1785/7=(7+1)^1785/7` GIVES the remainder 1.

Discussion

8416.	There are 3 boxes each containing 3 red and 5 green balls. Also there are 2 boxes, each containing 4 red and 2 green balls. A green ball is selected at random. Find the probability that this green ball id from a box of the first group.
Answer» A) `54/61` B) `45/61` C) `8/31` D) NONE of these Answer :B

Discussion

8417.	How many distinct equilateral triangles can be formed in a regular nonagon having at two of their vertices as the vertices of nonagon?
Answer» 72 36 66 none of these Answer :C

Discussion

8418.	If 6 men or 8 women can reap a field in 86 days, how long will 14 men and 10 women take to reap it?
Answer» ANSWER :24 DAYS

Discussion

8419.	P, Q and R are three contestants in a 2 km race. If P can give Q a start of 100 m and P can give R a start of 138 m ,then how many metres start can Q give to R?
Answer» (A.) 40m (B.) 45M (C.) 50M (D.) 55m Answer :`= 40 `M

Discussion

8420.	Find the sum of 'n' terms of the series. log_(2)(x/y) + log_(4)(x/y)^(2) + log_(8)(x/y)^(3) + log_(16)(x/y)^(4) +……..
Answer» `log_2(X/y)^(4N)` `n("log"_2(x)/y)` `log_2(x^(n-1)/y^(n-1))` `1/2log_2(x/y)^(n(n+1))` Answer :B

Discussion

8421.	Two horses were sold for Rs 1920 each. First was sold at 20% loss and second at 20% profit. Find over all profit or loss.
Answer» ANSWER : RS 160 PROFIT

Discussion

8422.	A piece of wire when bent to form a circle will have a radius of 84 cm. If the wire is bent to form a square, the length of a side of the square is
Answer» 152 132 168 225 Answer :` = 17 SQRT(2) CM`

Discussion

8423.	Find the value of tan^(n)1^(@)tan^(n)2^(@)tan^(n)3^(@)......tan^(n)88^(@)tan^(n)89^(@).
Answer» a) 0 b) 3 C) 1 d) 4 Answer :C

Discussion

8424.	A metro leaves after every 15 minutes. A person is running towards metro then he catches the metro after 12 minutes. If speed of metro is 16 km/h. Find speed of man.
Answer» ANSWER : 4 km/h

Discussion

8425.	Alen and Border can do a work individually in 21 and 42 days respectively. In how many days they can complete the work, working alternatively?
Answer» 14 28 42 35 Answer :B

Discussion

8426.	A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
Answer» A) 9:5 B) 2:3 C) 4:7 D) 5:6 Answer :C

Discussion

8427.	Solve the equations log_1000 \|x+y\| = 1/2 . log_10 y - log_10 \|x\| = log_100 4 for x and y
Answer» `(8/3,16/3)(-8,-16)` `(10/3,20/3)(-10,20)` `(-10/3,-20/3)(70,20)` NONE of these Answer :B

Discussion

8428.	If a+(1)/(a)+1=0,(ane0), then the value of (a^(5)-a^(2)) is
Answer» 1 0 2 `-1` ANSWER :B

Discussion

8429.	The sides of a Delta are consecutive intergers and inradius is 4 cm. Find the area of the Delta .
Answer» ANSWER :84

Discussion

8430.	Find the square root of 196.
Answer»

Discussion

8431.	There are 510 average number of people on Sunday and 240 on remaining days of week in a market. Thismonths having 30 days and starts with Sunday. Find the average of people of each day.
Answer» 285 295 300 290 Answer :285

Discussion

8432.	If HCF of two numbers is 8, which of the following can never be their LCM?
Answer» 24 48 56 60 Answer :D

Discussion

8433.	If[x] read as the greatest integer less than or equal to x, {x} is the least integer greater than or equal to x, Further, f(x, y) = [x] + {y} and g(x, y) = {x}- {y} and P (x,y) = f(x , y) +g(x,y) and Q (x,y) = f(x,y) -g(x,y) If x, y in I^(+)then P(x, y) + Q(x,y) is always:
Answer» an EVEN number an ODD number can't say none of these Answer :A

Discussion

8434.	If [x] is read as the greatest integer less than or equal to x, {x} is the least integer greater than or equal to x. Further f(x,y)=[x]+{y} andg(x,y)=[x]-{y}andP(x,y)=f(x,y)+g(x,y) andQ(x,y)=f(x,y)-g(x,y)If x^2=16 and y^2=25, P (x,y).Q (x,y) is :
Answer» 80 -80 72 none of these Answer :D

Discussion

8435.	If [x] is read as the greatest integer less than or equal to x, {x} is the least integer greater than or equal to x. Further f(x,y)=[x]+{y} andg(x,y)=[x]-{y}andP(x,y)=f(x,y)+g(x,y) andQ(x,y)=f(x,y)-g(x,y) If x=16 and y=25, the value of P(x,y)+Q(x,y) is:
Answer» 90 200 can't be determined none of these Answer :D

Discussion

8436.	If 5 men or 8 women can do a piece of work in 12 days, how many days will be taken by 2 men and 4 women to do the same work?
Answer» ANSWER :`13(1)/3` DAYS

Discussion

8437.	The number of ways of selecting 10 balls from unlimited number of red, black, white and green balls, is
Answer» 268 286 246 468 Answer :B

Discussion

8438.	A farmer has 945 cows and 2475 sheep. He farms them into flock keeping cows and sheep separate and having the same number of animals in each flock. If these flocks are as large as possible, then the maximum number of animals in each flock and total number of flock required for the purpose are respectively.
Answer» 15 and 228 9 and 380 45 and 76 46 and 75 Answer :C

Discussion

8439.	The relative speed of minute-hand with respect to hour-hand is:
Answer» `(5(1/2))^@` (11/12) MINUTE PER minute `6^@`per minute both a and b Answer :D

Discussion

8440.	AB is a diameter of the circle, CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. Find the angle AEB.
Answer» `30^(@)` `60^(@)` `90^(@)` `45^(@)` Answer :B

Discussion

8441.	Radius of circle is 1 cm findArea of Delta
Answer» Answer :`6 + 4 SQRT(3) CM^(2)`

Discussion

8442.	The number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question is :
Answer» 11 `"^(21)C_7` 18 235 Answer :B

Discussion

8443.	Find the value of log_(y)x log_(z)y xx log_(z)x
Answer» 0 1 log x xyz Answer :A

Discussion

8444.	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 last element in the S_(24) is :
Answer» 576 600 300 625 Answer :C

Discussion

8445.	The remainder of (39^(93!))/(40) is :
Answer» 0 1 39 13 Answer :B

Discussion

8446.	If f(x)=logx^(4) and g(x)=4logx then the the domain for which f(x) and g(x) are identical ?
Answer» `(-OO,oo)` `[0,oo)` `(0,oo)` NONE of these Answer :C

Discussion

8447.	Distance between two stations is 450km. A train from A starts moving towards B at the speed of 15km/ h another train from B starts moving towards A 20 minutes before the first train with the speed of 20km/ h. Find at what distance from A will they meet each other.
Answer» ANSWER : 190 km/h

Discussion

8448.	The sum of integers from 113 to 113113 which are divisible by 7 is :
Answer» a. `92358576` B. `913952088` C. `94501895` d. `912952066` ANSWER :B

Discussion

8449.	Which of the following function is even function ?
Answer» `f(x)=log""(1-x)/(1+x)` `f(x)=x.(a^(x)+1)/(a^(x)-1)` `f(x)=log[x+SQRT(1+x^(2))]` `f(x)=sqrt((1+x+x^(2)))-sqrt((1-x+x^(2)))` Answer :B

Discussion

8450.	The set of all the solution of the equation log_(5)x log_(6)x log_(7)x = log_(5)x. log_(6)x + log_(6)x. log_(7)x + log_(7)x. log_(5)x is
Answer» (0,1) (1,210) (1,5,6,7,210) NONE of these ANSWER :B

Discussion

Explore topic-wise InterviewSolutions in .

The volume of a wall , 3 times as high as it is broad and 8 times as long as it is high,is36.864 m^(3). The height of the wall is :

If sinx+cosx=c, then sin^(6)x+cos^(6)x is equal to

If (p)/(a) + (q)/(b) + (r )/(c )=1 " & " (a)/(p) + (b)/(q) + (c )/(r )=0 find (p^(2))/(a^(2)) + (q^(2))/(b^(2)) + (r^(2))/(c^(2))= ?

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 journey did he travelled by auto if the average speed of the entire journey be 17 km/h :

(32^(32^(32)))/(7) find Remainder.

By selling an article for 21, a man lost such that the percentage loss was equal to the cost price. The cost price of the article is :

Solve the following equations 3x+5y=9 and 2x+3y=4 (a)by substitution method (b) by elimination method (c) by comparison method

What will be the compound interest on a sum of Rs. 1875 after 2 years if the rate of interest for the first year is 4% and that for the second year is 8%?

Simplify the following expressions : 27/28 div 6/14

A man standing on a platform finds that a train takes 3 seconds to pass him and another train of the same length moving in the opposite direction, takes 4 seconds. Thetime taken by the trains to pass each other will be

A can do a certain job in 15 days. B is 50% more efficient than A. Then B can do the same piece of work in

At out training institute we have p - 1, p - 2, p - 3 and p - 4 processors in the ratio of 1/6, 1/5, 1/3 and 1/2 respectively. Minimum number of processors in out institute is :

Convert (725)_(10) to hexadecimal.

If a= 20, b= 25, c= 15 find (a^(3) +b^(3) + c^(3)- 3 abc)/(a^(2) + b^(2) + c^(2) - ab- bc - ca)= ?

The remainder when 8^1785 is divided by 7 is:

There are 3 boxes each containing 3 red and 5 green balls. Also there are 2 boxes, each containing 4 red and 2 green balls. A green ball is selected at random. Find the probability that this green ball id from a box of the first group.

How many distinct equilateral triangles can be formed in a regular nonagon having at two of their vertices as the vertices of nonagon?

If 6 men or 8 women can reap a field in 86 days, how long will 14 men and 10 women take to reap it?

P, Q and R are three contestants in a 2 km race. If P can give Q a start of 100 m and P can give R a start of 138 m ,then how many metres start can Q give to R?

Find the sum of 'n' terms of the series. log_(2)(x/y) + log_(4)(x/y)^(2) + log_(8)(x/y)^(3) + log_(16)(x/y)^(4) +……..

Two horses were sold for Rs 1920 each. First was sold at 20% loss and second at 20% profit. Find over all profit or loss.

A piece of wire when bent to form a circle will have a radius of 84 cm. If the wire is bent to form a square, the length of a side of the square is

Find the value of tan^(n)1^(@)tan^(n)2^(@)tan^(n)3^(@)......tan^(n)88^(@)tan^(n)89^(@).

A metro leaves after every 15 minutes. A person is running towards metro then he catches the metro after 12 minutes. If speed of metro is 16 km/h. Find speed of man.

Alen and Border can do a work individually in 21 and 42 days respectively. In how many days they can complete the work, working alternatively?

A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :

Solve the equations log_1000 |x+y| = 1/2 . log_10 y - log_10 |x| = log_100 4 for x and y

If a+(1)/(a)+1=0,(ane0), then the value of (a^(5)-a^(2)) is

The sides of a Delta are consecutive intergers and inradius is 4 cm. Find the area of the Delta .

Find the square root of 196.

There are 510 average number of people on Sunday and 240 on remaining days of week in a market. Thismonths having 30 days and starts with Sunday. Find the average of people of each day.

If HCF of two numbers is 8, which of the following can never be their LCM?

If[x] read as the greatest integer less than or equal to x, {x} is the least integer greater than or equal to x, Further, f(x, y) = [x] + {y} and g(x, y) = {x}- {y} and P (x,y) = f(x , y) +g(x,y) and Q (x,y) = f(x,y) -g(x,y) If x, y in I^(+)then P(x, y) + Q(x,y) is always:

If [x] is read as the greatest integer less than or equal to x, {x} is the least integer greater than or equal to x. Further f(x,y)=[x]+{y} andg(x,y)=[x]-{y}andP(x,y)=f(x,y)+g(x,y) andQ(x,y)=f(x,y)-g(x,y)If x^2=16 and y^2=25, P (x,y).Q (x,y) is :

If [x] is read as the greatest integer less than or equal to x, {x} is the least integer greater than or equal to x. Further f(x,y)=[x]+{y} andg(x,y)=[x]-{y}andP(x,y)=f(x,y)+g(x,y) andQ(x,y)=f(x,y)-g(x,y) If x=16 and y=25, the value of P(x,y)+Q(x,y) is:

If 5 men or 8 women can do a piece of work in 12 days, how many days will be taken by 2 men and 4 women to do the same work?

The number of ways of selecting 10 balls from unlimited number of red, black, white and green balls, is

The relative speed of minute-hand with respect to hour-hand is:

AB is a diameter of the circle, CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. Find the angle AEB.

Radius of circle is 1 cm findArea of Delta

The number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question is :

Find the value of log_(y)x log_(z)y xx log_(z)x

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 last element in the S_(24) is :

The remainder of (39^(93!))/(40) is :

If f(x)=logx^(4) and g(x)=4logx then the the domain for which f(x) and g(x) are identical ?

Distance between two stations is 450km. A train from A starts moving towards B at the speed of 15km/ h another train from B starts moving towards A 20 minutes before the first train with the speed of 20km/ h. Find at what distance from A will they meet each other.

The sum of integers from 113 to 113113 which are divisible by 7 is :

Which of the following function is even function ?

The set of all the solution of the equation log_(5)x log_(6)x log_(7)x = log_(5)x. log_(6)x + log_(6)x. log_(7)x + log_(7)x. log_(5)x is