8677 + Interview Questions in Maths in Class 14 Page 45 InterviewSolution

2201.	A leading chocolate producing company produces 'abc' chocolates per hour (abc is a three digit positive number). In how many hours it will produce 'abcabc' chocolates?
Answer» abc 101 1001 can't be determined Answer :C

Discussion

2202.	A Receives Rs. 50,000 at the age of 10 years from his father. He invested that money in a trust. The trust give him Rs. 1200 per year and spent Rs. 300 per year to manage that money . How much amount will the boy receive at age of 18 years if the rate of interest is 10% p.a.
Answer» ANSWER :RS 78000

Discussion

2203.	If the apothem of a regular hexagon is a, find each side of the hexagon.
Answer» A)`3a/sqrt2` B)`SQRT3A` C)0.67a D)`2/sqrt3a` ANSWER :D

Discussion

2204.	19 persons went to a hotel for a combined dinner party. 13 of them spent Rs. 79 each on their dinner and the rest spent Rs. 4 more than the average expenditure of all the 19. What was the total money spent by them?
Answer» Rs.1,628.4 Rs. 1,534 Rs. 1,492 None of these Answer :D

Discussion

2205.	If tantheta=(p)/(q), then (p sintheta-qcostheta)/(p sintheta+qcostheta)=?
Answer» `(p^(2)-q^(2))/(p^(2)+q^(2))` `(p^(2)+q^(2))/(2p)` `(p^(2)+q^(2))/(2Q)` `(p^(2)+q^(2))/(p^(2)-q^(2))` ANSWER :A

Discussion

2206.	The least positive integer n for which ((1+i sqrt3)/(1-isqrt3))^(n)=1, is
Answer» 4 6 7 9 Answer :C

Discussion

2207.	The product of the LCM and HCF of two numbers is 24.The difference of the two numbers is 2.Find the numbers?
Answer» 8 and 6 8 and 10 2 and 4 6 and 4 Answer :D

Discussion

2208.	An unbiased die is rolled. Find the probability of getting: an even number.
Answer» `1/2` `4/5` `2/8` `3/4` ANSWER :A

Discussion

2209.	If tan theta + (1)/(tan theta) = 2, then tan^2 theta+ (1)/(tan^2 theta) is equal to
Answer» 1 2 4 None of these Answer :B

Discussion

2210.	A can do (13)/(56)part of a work in 111 days and B can do (43)/(56) part of a work in 111 days. In how many days will A and B complete the total work ?
Answer» ANSWER :111 DAYS

Discussion

2211.	0.4bar(23) is equivalent to the fraction :
Answer» `(491)/(990)` `(419)/(990)` `(49)/(99)` `(94)/(99)` ANSWER :B

Discussion

2212.	Solve (2+sqrt3)^(x^2-2x+1)+ (2-sqrt3)^(x^2-2x-1)=2/(2-sqrt3).
Answer» 0 1 2 both (a) and ("C) ANSWER :D

Discussion

2213.	If the simple interest on a certain sum at 4% per annum for 4 years is Rs. 80 more than the interest on the same sum for 3 years at 5% per annum, find the sum.
Answer» ANSWER :RS. 8000

Discussion

2214.	A piece of work can be completed by 10 men and 6 women in 18 days. Men works 9 hours per day while women works 7.5 hours per day. Per hour efficiency of a woman is 2//3rd. of a man’s efficiency. In how many days 10 men and 9 women complete the work?
Answer» 16 days 20 days 30 days 25 days Answer :A

Discussion

2215.	Which one of the following is true about the polynomial function y=-7x^5+3x^3-18x^2-7x+23?
Answer» `yrarr+oo`, when`xrarr-oo` `yrarr-oo`, when`xrarr-oo` `yrarr+oo`, when`xrarr+oo` NONE of the above Answer :A

Discussion

2216.	An alloy contains zinc, copper and tin in the ratio 2:3:1 and another contains copper, tin and lead in the ratio 5:4:3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in the new alloy will be
Answer» ANSWER :`1/8`

Discussion

2217.	If cos18^(@)-sin18^(@)=sqrt(2)sinA . Then valueof tan5A+cot5A+sin5A+cos5Ais :
Answer» 1 2 `-1` `-2` ANSWER :D

Discussion

2218.	Find the value of (1)/((1+tan^(2)theta))+(1)/((1+cot^(2)theta))
Answer» a) 2 b) `(1)/(2)` C) `(1)/(4)` d) 1 Answer :D

Discussion

2219.	If bc + ab + ca = abc, then the value of (b+c)/(bc(1-a))+(a+c)/(ac(1-b))+(a+b)/(ab(1-c)) is
Answer» 1 0 `-1` 3 Answer :C

Discussion

2220.	The pair of number which are relatively prime to each other is
Answer» (68,85) (65,91) (92,85) (102,153) ANSWER :C

Discussion

2221.	In the given figure, triangle ABC is drawn such that AB is tangent to a circle at A whose radius is 10 cm and BC passes through centre of the circle. Point C lies on the circle. If BC = 36 cm and AB = 24cm, then what is the area (in cm^2) of triangle ABC?
Answer» 1) 134.5 2) 148 3) 166 4) 180 Answer :C

Discussion

2222.	The value of x satisfying log_(3)4 -2 log_(3)sqrt(3x +1) =1 - log_(3)(5x -2)
Answer» 1 2 3 none of these Answer :A

Discussion

2223.	The ratio of age between A and B is 6 : 5 and the age of each C and D is 9/10 times that of B. Age of F is less than A but greater than B. The ratio of ages between B and E is 2 : 3 also age of A is 3 years less than E. What is the ratio of ages of A and F if all the ages are in integers?
Answer» 0.50763888888889 0.37986111111111 24:19 0.50902777777778 Answer :A

Discussion

2224.	The ratio of speeds of A anD B is 4:7 and A loses the race by 270 m then what is the length of the race course?
Answer» ANSWER :630 m

Discussion

2225.	If 15sin^(3)alpha+20cos^(3)alpha=12 find 10sinalpha+15cosalpha.
Answer» A) 2 months B) 2.5 months C) 3 months D) 3.5 months Answer :17

Discussion

2226.	Identify A,B,C,D and E in given diagram:
Answer» (0,1) `(0,3//2)` `(0,b//c)` cannot be determined Answer :A

Discussion

2227.	124.35 % of 8096 = ?
Answer» 2000 10000 1000 12000 Answer :B

Discussion

2228.	If a and b are the roots of the equation x^2-6x + 6=0, find the value of 2(a^(2) +b^(2)).
Answer» 8 3 11 `3//7` ANSWER :A

Discussion

2229.	The selling price of an article is 8/5 th of its cost price. Then the gain percentage is
Answer» 20% 40% 50% 60% ANSWER :0.6

Discussion

2230.	Let N be the greatest number that will divide 1305 , 4665 and 6905 Ieaving the same remainder in each case The sum of the digits in N is
Answer» 4 5 6 8 Answer :A

Discussion

2231.	During my studies once I brought a book from library which was written in early days, when there were only 9 digits i.e., the digit 0 did not exist. There was a sum in that book as follows: k = 13 + 17 + 31 + 2 Then the value of k if 9 +1 = 11, 19 + 4 = 24 etc.
Answer» 70 71 63 64 Answer :D

Discussion

2232.	Answer these questions independently of each other. In how many ways can 12 soldiers stand in a queue?
Answer» 11! 12! 12!-1 1 Answer :B

Discussion

2233.	The simple interset on a sum of money for 10 years is Rs. 3130. If the principal becomes 5 times after 5 years, what wil be the total interset (in Rs) obtained after 10 years ?
Answer» 6260 7825 9390 15650 Answer :C

Discussion

2234.	(x+ (1)/(y)) = (y+ (1)/(z))= (z + (1)/(x)) and (x ne y ne z) find xyz= ?
Answer» 1 `-1` `+- 1` 3 Answer :C

Discussion

2235.	There is a point P in a rectangle ABCD, such that PA = 4, PD = 5, PB = 8, find PC.
Answer» ANSWER :`SQRT(73)`

Discussion

2236.	If the surface areas of two spheres are in the ratio 4:9 , then the ratio of their volumes is :
Answer» `8:25` `8:26` `8:27` `8:28` ANSWER :C

Discussion

2237.	Solve the following expressions : 7xx7+8-6
Answer»

Discussion

2238.	If a : b = 2/9 : 1/3, b : c = 2/7 : 5/14 and d : c = 7/10 :3/5,thenfind a : b : c : d
Answer» `4:6:7:9:8` `16:24:30:35` `8:12:15:7` `30:35:24:16` ANSWER :B

Discussion

2239.	AB is a chord of a circle (centre o) and DOC is a line segment originating from a point D on the Circle and intersecting AB on Producing at C such that BC = OD. If angle BCD = 20^(@), then angle AOD :-
Answer» `30^(@)` `40^(@)` `10^(@)` `60^(@)` ANSWER :D

Discussion

2240.	A person from A starts to walk at 7 am and reaches B at 1 pm and another person starts to walk from B at 8 am and reaches A at 11 am. Find the time at which they meet each other.
Answer» ANSWER :` 9:40 am `

Discussion

2241.	Three fair coins are tossed simultaneously.Find the probability of getting at least one head.
Answer» `7/8` `1/8` `3/4` `1/4` ANSWER :A

Discussion

2242.	Answer the question based on the following information. The following table gives the traiff (in paise per kilo-litre) levied by the Lucknow jal Nigam in 2003-04 in four sector and the region within them. (Each sector is divided in 5 regions). The table gives the percentage change in the tariff as compared to 2000-01. If the amount of water consumed by the various regions in sector 1 is the same, then as compared to 2000-01 the net tariff in 2003-04 :
Answer» INCREASED by `20%` increased by `13%` Decreased by `12%` Decreased by `20%` Answer :B

Discussion

2243.	LetDeltaABC be isosceles with angleABC=angleACB=70^(@)Let D and Ebe the points on sides AB and AC respectively such thatangleBCD=40^(@)andangleCBE=55^(@). ThenangleBED is -
Answer» `63^(@)` `12^(@)` `51^(@)` `20^(@)` ANSWER :D

Discussion

2244.	Mitthu Bhai sells rasgulla (a favourite indian sweets) at Rs. 15 per kg. A rasgulla is made up of flour and sugar in the ratio of 5:3. There ratio of price of sugar and flour is 7:3 (per kg). Thus he earns 66 2/3 % profit. What is the cost price of sugar?
Answer» `₹10//kg` `₹9//kg` `₹18//kg` `₹14//kg` ANSWER :D

Discussion

2245.	If the diagonals of a rhombus are 18 cm and 24 cm respectively , then its perimeter is :
Answer» 15 cm 42 cm 60 cm 70 cm Answer :C

Discussion

2246.	Solve the followings : If x^a = y^b = z^c and y^2 = zxthen the value of 1/a + 1/c is :
Answer» b/2 C/2 2/b 2a Answer :C

Discussion

2247.	Total number of students in 3 classes of a school is 333 . The number of students in class 1 and 2 are in 3:5 ratio and 2 and 3 class are 7:11 ratio . What is the strength of class that has highest number of students ?
Answer» A) 125 B) 155 C) 135 D) 165 Answer :`(2,(3)/(2))`

Discussion

2248.	Find the day of the week on 26 th january 1950
Answer» ANSWER :`=`4 odd days it was THURSDAY on 26th january 1950

Discussion

2249.	A train approaches a tunnel AB, inside the tunnel a dog located at a point i.e., 2/5 of the distance AB measured form the entrance A. When the train whistles, the dog runs. If the dog moves to the entrance of the tunnel A, the train catches the dog exactly at the entrance. If the dog moves to the exit B, the train catches the dog exactly at the exit. Find the ratio of speed of train and dog.
Answer» ANSWER :` 5:1`

Discussion

2250.	f(x)=1-h(x), g(x)=1-k(x), h(x)=f(x)+1 f(x)=g(x)+1, k(x)=f(x)+1 Find the value of (f(f(x))+k(g(x)))/(h(k(x))+f(j(x))):
Answer» 0 1 2 none of these Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

A leading chocolate producing company produces 'abc' chocolates per hour (abc is a three digit positive number). In how many hours it will produce 'abcabc' chocolates?

A Receives Rs. 50,000 at the age of 10 years from his father. He invested that money in a trust. The trust give him Rs. 1200 per year and spent Rs. 300 per year to manage that money . How much amount will the boy receive at age of 18 years if the rate of interest is 10% p.a.

If the apothem of a regular hexagon is a, find each side of the hexagon.

19 persons went to a hotel for a combined dinner party. 13 of them spent Rs. 79 each on their dinner and the rest spent Rs. 4 more than the average expenditure of all the 19. What was the total money spent by them?

If tantheta=(p)/(q), then (p sintheta-qcostheta)/(p sintheta+qcostheta)=?

The least positive integer n for which ((1+i sqrt3)/(1-isqrt3))^(n)=1, is

The product of the LCM and HCF of two numbers is 24.The difference of the two numbers is 2.Find the numbers?

An unbiased die is rolled. Find the probability of getting: an even number.

If tan theta + (1)/(tan theta) = 2, then tan^2 theta+ (1)/(tan^2 theta) is equal to

A can do (13)/(56)part of a work in 111 days and B can do (43)/(56) part of a work in 111 days. In how many days will A and B complete the total work ?

0.4bar(23) is equivalent to the fraction :

Solve (2+sqrt3)^(x^2-2x+1)+ (2-sqrt3)^(x^2-2x-1)=2/(2-sqrt3).

If the simple interest on a certain sum at 4% per annum for 4 years is Rs. 80 more than the interest on the same sum for 3 years at 5% per annum, find the sum.

A piece of work can be completed by 10 men and 6 women in 18 days. Men works 9 hours per day while women works 7.5 hours per day. Per hour efficiency of a woman is 2//3rd. of a man’s efficiency. In how many days 10 men and 9 women complete the work?

Which one of the following is true about the polynomial function y=-7x^5+3x^3-18x^2-7x+23?

An alloy contains zinc, copper and tin in the ratio 2:3:1 and another contains copper, tin and lead in the ratio 5:4:3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in the new alloy will be

If cos18^(@)-sin18^(@)=sqrt(2)sinA . Then valueof tan5A+cot5A+sin5A+cos5Ais :

Find the value of (1)/((1+tan^(2)theta))+(1)/((1+cot^(2)theta))

If bc + ab + ca = abc, then the value of (b+c)/(bc(1-a))+(a+c)/(ac(1-b))+(a+b)/(ab(1-c)) is

The pair of number which are relatively prime to each other is

In the given figure, triangle ABC is drawn such that AB is tangent to a circle at A whose radius is 10 cm and BC passes through centre of the circle. Point C lies on the circle. If BC = 36 cm and AB = 24cm, then what is the area (in cm^2) of triangle ABC?

The value of x satisfying log_(3)4 -2 log_(3)sqrt(3x +1) =1 - log_(3)(5x -2)

The ratio of age between A and B is 6 : 5 and the age of each C and D is 9/10 times that of B. Age of F is less than A but greater than B. The ratio of ages between B and E is 2 : 3 also age of A is 3 years less than E. What is the ratio of ages of A and F if all the ages are in integers?

The ratio of speeds of A anD B is 4:7 and A loses the race by 270 m then what is the length of the race course?

If 15sin^(3)alpha+20cos^(3)alpha=12 find 10sinalpha+15cosalpha.

Identify A,B,C,D and E in given diagram:

124.35 % of 8096 = ?

If a and b are the roots of the equation x^2-6x + 6=0, find the value of 2(a^(2) +b^(2)).

The selling price of an article is 8/5 th of its cost price. Then the gain percentage is

Let N be the greatest number that will divide 1305 , 4665 and 6905 Ieaving the same remainder in each case The sum of the digits in N is

During my studies once I brought a book from library which was written in early days, when there were only 9 digits i.e., the digit 0 did not exist. There was a sum in that book as follows: k = 13 + 17 + 31 + 2 Then the value of k if 9 +1 = 11, 19 + 4 = 24 etc.

Answer these questions independently of each other. In how many ways can 12 soldiers stand in a queue?

The simple interset on a sum of money for 10 years is Rs. 3130. If the principal becomes 5 times after 5 years, what wil be the total interset (in Rs) obtained after 10 years ?

(x+ (1)/(y)) = (y+ (1)/(z))= (z + (1)/(x)) and (x ne y ne z) find xyz= ?

There is a point P in a rectangle ABCD, such that PA = 4, PD = 5, PB = 8, find PC.

If the surface areas of two spheres are in the ratio 4:9 , then the ratio of their volumes is :

Solve the following expressions : 7xx7+8-6

If a : b = 2/9 : 1/3, b : c = 2/7 : 5/14 and d : c = 7/10 :3/5,thenfind a : b : c : d

AB is a chord of a circle (centre o) and DOC is a line segment originating from a point D on the Circle and intersecting AB on Producing at C such that BC = OD. If angle BCD = 20^(@), then angle AOD :-

A person from A starts to walk at 7 am and reaches B at 1 pm and another person starts to walk from B at 8 am and reaches A at 11 am. Find the time at which they meet each other.

Three fair coins are tossed simultaneously.Find the probability of getting at least one head.

LetDeltaABC be isosceles with angleABC=angleACB=70^(@)Let D and Ebe the points on sides AB and AC respectively such thatangleBCD=40^(@)andangleCBE=55^(@). ThenangleBED is -

Mitthu Bhai sells rasgulla (a favourite indian sweets) at Rs. 15 per kg. A rasgulla is made up of flour and sugar in the ratio of 5:3. There ratio of price of sugar and flour is 7:3 (per kg). Thus he earns 66 2/3 % profit. What is the cost price of sugar?

If the diagonals of a rhombus are 18 cm and 24 cm respectively , then its perimeter is :

Solve the followings : If x^a = y^b = z^c and y^2 = zxthen the value of 1/a + 1/c is :

Total number of students in 3 classes of a school is 333 . The number of students in class 1 and 2 are in 3:5 ratio and 2 and 3 class are 7:11 ratio . What is the strength of class that has highest number of students ?

Find the day of the week on 26 th january 1950

f(x)=1-h(x), g(x)=1-k(x), h(x)=f(x)+1 f(x)=g(x)+1, k(x)=f(x)+1 Find the value of (f(f(x))+k(g(x)))/(h(k(x))+f(j(x))):