8677 + Interview Questions in Maths in Class 14 Page 19 InterviewSolution

901.	Find the value of tan4^(@).tan43^(@).tan47^(@).tan86^(@).
Answer» 0 1 `SQRT(3)` `(1)/(sqrt(3))` ANSWER :B

Discussion

902.	The ratio of density of 3 kinds of petrol P_(1),P_(2) and P_(3) is 9:7:5. The density of P_(1) is 18 gm/ cc and P_(1),P_(2),P_(3)d are mixed in the ratio of 6:5:4 by weight. If a litre of P_(3) cost Rs. 40, then find the cost of P_(3) in 450 kg of mixture of P_(1), P_(2) and P_(3)
Answer» RS. 380 Rs. 480 Rs. 355 Rs. 448 Answer :B

Discussion

903.	The value of x satisfying the following relation: log_(1//2)x = log_(2)(3x-2)
Answer» `1/3` `-1/3` 3 none of these Answer :D

Discussion

904.	If (x - 5) (y + 6)(z -8)= 1331, then the minimum value x + y + z is :
Answer» 40 33 19 not UNIQUE ANSWER :A

Discussion

905.	If (a+b):(a-b)=3:2 the (a^(2)-b^(2)):(a^(2)+b^(2)) equals:
Answer» 0.21736111111111 0.50902777777778 0.37777777777778 none of these ANSWER :D

Discussion

906.	The sum of two numbersis 8. If their sum is four times their difference, find the numbers.
Answer» 6,2 7,1 5,3 6,3 Answer :C

Discussion

907.	What is the simplified value of sqrt((secA-1)/(secA+1))?
Answer» `"COSEC"A-cotA` `SECA-tanA` `SEC^(2)A` `secA"cosec"A` ANSWER :A

Discussion

908.	A trader has a faulty balance that weighs 20% less than what it should weigh. If he wants to earn 30% profit while marking up the price of the goods by 20%, maximum how much percentage discount can he offer?
Answer» 13.33 16.67 22.22 25 Answer :A

Discussion

909.	Find the value of(53)^3
Answer» SOLUTION : `THEREFORE (53)^3 = 148877`

Discussion

910.	Express 6xxpxxqxxrxxpxxpxxp in the exponential form :
Answer» `6(p^4+q+r)` 6xx4pxxqxxr `6p^4qr` NONE of these Answer :C

Discussion

911.	If (1)/(cosectheta+cottheta)-cosectheta-tantheta=3ksecthetacosectheta, then value of k.
Answer» `(1)/(3)` `-(1)/(2)` `-(1)/(3)` `(1)/(2)` ANSWER :C

Discussion

912.	Four numbers are in proportion. The sum of the squares of the four numbers is 50 and the sum of the mean is 5. The ratio of first two terms is 1:3. What is the average of the fou numbers?
Answer» 2 3 5 6 Answer :B

Discussion

913.	If the opposite sides of a cyclic quadrilateral are equal and the sum of two of the adjacent sides is 10 cm, find the maximum possible area of the quadrilateral (in sq. cm).
Answer» A)100 B)25 C)24 D)DATA insufficient Answer :B

Discussion

914.	The sides of triangle ABC are 5,5,6 and the side of triangle PQR are 5,5,8. Findthe correct relation betweenthe areas of two triangles.
Answer» `TRIANGLEABC gttrianglePQR` `triangleABC lttrianglePQR` `triangleABC =TRIANGLEPQR` can't be determined Answer :C

Discussion

915.	The ratio of the sum of first three terms to the sum of first six terms is 125 : 152. Find the common ratio of G.P.
Answer» (3/5) 3 (2/5) (5/8) ANSWER :A

Discussion

916.	If one of the roots is 0 and another one is real positive, then which of the following is certainly incorrect?
Answer» minimum value of the function is `-1` maximum value of the function is 1 minimum of the graph is at X-axis the graph INTERSECTS Y-axis below the X-axis Answer :C

Discussion

917.	If f(x)={{:(1+\|x\|,,,xlt-1),([x],,,xge-1):} Also, [.]is greatest integer function then f(f(-2.4)) is equal to :
Answer» a. `-3` B. 2 C. 3 d. 4 Answer :C

Discussion

918.	Find the remiander when 32^(32) is divided 6.
Answer» 0 5 4 2 Answer :C

Discussion

919.	Find the square root of 1156.
Answer»

Discussion

920.	Find the square root of 1225.
Answer»

Discussion

921.	(1+sec20^(@)+cot70^(@))(1-"co s ec"20^(@)+tan70^(@)) किसके बराबर होगा ?
Answer» `-1` 2 1 `-2` ANSWER :D

Discussion

922.	In the previous question (no.63) find the number of ways in which only two balls can be put in the correct boxes i.e., the colour of box and the colour of contained ball be same.
Answer» A) 3 B) 6 C) 9 D) NONE of these Answer :B

Discussion

923.	The ratio of milk and water in four vessels are 1 : 2, 3 : 2, 7 : 3 and 1 : 1. The ratio of capacity of allvessels are in the ratio 1 : 2 : 3 : 4. All are poured into a fifth vessel, then find the ratio of milk and water in a fifth vessel, then find the ratio of milk and water in fifth vessel.
Answer» 169:141 237:129 156:57 105:63 Answer :`169: 131`

Discussion

924.	If x=asecthetacostheta,y=bsecthetasinthetaandz=thetatantheta, then find the value of (x^(2))/(a^(2))+(y^(2))/(b^(2))-(z^(2))/(c^(2))
Answer» a) 1 b) `-10` C) 0 d) 2 Answer :A

Discussion

925.	In the given figure AB = 12, AC = 15 cm and AD = 6 cm. BC\|\|DE, find the length of AE
Answer» 6 cm 7.5 cm 9 cm 10 cm Answer :B

Discussion

926.	A student has to secure 36% marks to pass. He gets 150 marks and fails by 30 marks. The maximum marks are
Answer» 540 600 500 can't be determined Answer :B

Discussion

927.	If {x} is the least integer than or equal to x, then find the value of the following series : {sqrt1} + {sqrt2} + {sqrt3} + {sqrt4} + … + {sqrt(99)} + {sqrt(100)}
Answer» 3237 2373 3723 none of these Answer :C

Discussion

928.	Find x, iflog_(2x)sqrtx+log_(2sqrtx)x=0:
Answer» `1,2^(-5/6)` `1,2^(-6//5)` `4,-2` NONE of these Answer :B

Discussion

929.	If the lengthof the diagonal of a cube is 6sqrt(3) cm , then lengthofthe edgeof the cube is 3 cm .
Answer» 2 CM 3 cm 6 cm `36/sqrt3` cm Answer :C

Discussion

930.	In the given figure O is the centre of the circle and angleBAC = 25^(@), then the value of angleADB is :
Answer» `40^(@)` `55^(@)` `50^(@)` `65^(@)` ANSWER :D

Discussion

931.	There are 48 students in a class with the age of one of the students being twice that of the age of another. If these two students are replaced by two others whose ages are 16 years and 11 years respectively, the average age of the class increases by 1.5 month. Find the age of the younger of the two students.
Answer» ANSWER :7 YEARS

Discussion

932.	A farmer sold a cow and a calf for Rs 760 and got a profit of 10% on the cow and 25% on the calf. If he sells the cow and the calf for Rs 767.50 and gets a profit of 25% on the cow and 10% on the calf, find the individual cost price of the cow and the calf.
Answer» ANSWER :RS. 300

Discussion

933.	A person bought some articles at rate of 6 for Rs 5 and sold them at the rate of 5 for Rs 6. Find the profit or loss %.
Answer» ANSWER :0.44

Discussion

934.	Ratio between speed of yatch in still water to speed of stream is 8:1.if 67.5km is travelled downstream in 2.5 hours then find the differenec between speed of yatch in still water to speed of strem (in kmph)?
Answer» 15 3 24 21 Solution :LET speed of yatch in still water and speed of STREAM be `8X and x` RESPECTIVELY. ATQ, `(67.5)/(2.5)=8x+x` `x=(27)/(9)` `x=3`.

Discussion

935.	What would be the C.I. on an amount of rs. 4800 at the rate of 5% p.a. for 3 years?
Answer» a. rs.448.7 b. rs.817.8 C. rs.623.5 d. rs.756.6 Answer :C

Discussion

936.	The three co-terminus edges of a rectangular solid are 36 cm, 75 cm and 80 cm respectively . Find the edge of a cube which will be of the same capacity :
Answer» 60 cm 52 cm 46 cm none ofthese Answer :A

Discussion

937.	If(loga)/(b-c) = (logb)/(c-a) = (logc)/(a-b),then prove that a^(a)b^(b)c^(c)=1.
Answer» ANSWER :1

Discussion

938.	In Fig.10.59, A Bis a chordof length 16cm of a circle of radius 10cm. The tangents at Aand Bintersectat a point P. Find thelength of P A. (FIGURE)
Answer» `(20)/(3)` `(40)/(3)` `(50)/(3)` `(10)/(3)` Answer :B

Discussion

939.	If p sintheta+qcostheta=3&qsintheta-pcostheta=2, then p^(2)+q^(2)=?
Answer» ANSWER :13

Discussion

940.	PQ is a direct common tangent of two circles of radii r_(1) and r_(2) touching each other externally at A. Then the value of PQ^(2) is :
Answer» `r_(1) r_(2)` `2r_(1) r_(2)` `3r_(1) r_(2)` `4 r_(1) r_(2)` Answer :D

Discussion

941.	If costheta=3/5, find the value of sin2theta :
Answer» `24/25` `16/25` `9/20` NONE of these Answer :A

Discussion

942.	If the difference of two numbers is 3 and the difference of their squares is 39, then the larger number is
Answer» 8 9 12 13 Answer :A

Discussion

943.	The probability that a leap year selected at random contains either 53 Sundays or 53 Mondays, is :
Answer» `17/53` `1/53` `3/7` NONE of these Answer :C

Discussion

944.	The LCM of two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the number is 100, then the other number is?
Answer» a. 5 b. 25 c.100 d. 125 Answer :A

Discussion

945.	A man reduces his speed from 20 km/h to 18 km/h so he takes 10 minutes more than the normal time.What is the distance travelled by him?
Answer» 30 km 25 km 50 km 36 km Answer :A

Discussion

946.	A group of workers can complete a job in 120 days. If there were 4 more such workers then the work could be finished in 12 days less. What was the actual strength of workers?
Answer» 30 WORKERS 40 workers 42 workers 36 workers Answer :D

Discussion

947.	What will be the amount when ₹ 1000 is deposited in a bank at 10% per annum compounded annually for 3 years?
Answer» SOLUTION :`A=P(1+r/100)^n=10000(1+10/100)^3=10000xx(1.1)^3=₹13310`

Discussion

948.	If the two incorrect watches are set at 12 : 00 noon at correct time, when will both the watches show the correct time for the first time given that the first watch gains 1 min in 1 hour and second watch loses 4 min in 2 hours :
Answer» 6 pm, 25 days later 12 : 00 NOON, 30 days later 12 noon, 15 days later 6 am 45 days later Answer :B

Discussion

949.	(7^(19)+2)is divided by 6. The remainder is1(b) 2 (c) 3 (d) 5
Answer» 5 3 2 1 Answer :B

Discussion

950.	If the numerator of a fractional be increased by 15% and itsdenominator be diminished by 8% the value of the fraction is (15)/(16)dotFind the original fraction.
Answer» ANSWER :`(3)/(4)`

Discussion

Explore topic-wise InterviewSolutions in .

Find the value of tan4^(@).tan43^(@).tan47^(@).tan86^(@).

The ratio of density of 3 kinds of petrol P_(1),P_(2) and P_(3) is 9:7:5. The density of P_(1) is 18 gm/ cc and P_(1),P_(2),P_(3)d are mixed in the ratio of 6:5:4 by weight. If a litre of P_(3) cost Rs. 40, then find the cost of P_(3) in 450 kg of mixture of P_(1), P_(2) and P_(3)

The value of x satisfying the following relation: log_(1//2)x = log_(2)(3x-2)

If (x - 5) (y + 6)(z -8)= 1331, then the minimum value x + y + z is :

If (a+b):(a-b)=3:2 the (a^(2)-b^(2)):(a^(2)+b^(2)) equals:

The sum of two numbersis 8. If their sum is four times their difference, find the numbers.

What is the simplified value of sqrt((secA-1)/(secA+1))?

A trader has a faulty balance that weighs 20% less than what it should weigh. If he wants to earn 30% profit while marking up the price of the goods by 20%, maximum how much percentage discount can he offer?

Find the value of(53)^3

Express 6xxpxxqxxrxxpxxpxxp in the exponential form :

If (1)/(cosectheta+cottheta)-cosectheta-tantheta=3ksecthetacosectheta, then value of k.

Four numbers are in proportion. The sum of the squares of the four numbers is 50 and the sum of the mean is 5. The ratio of first two terms is 1:3. What is the average of the fou numbers?

If the opposite sides of a cyclic quadrilateral are equal and the sum of two of the adjacent sides is 10 cm, find the maximum possible area of the quadrilateral (in sq. cm).

The sides of triangle ABC are 5,5,6 and the side of triangle PQR are 5,5,8. Findthe correct relation betweenthe areas of two triangles.

The ratio of the sum of first three terms to the sum of first six terms is 125 : 152. Find the common ratio of G.P.

If one of the roots is 0 and another one is real positive, then which of the following is certainly incorrect?

If f(x)={{:(1+|x|,,,xlt-1),([x],,,xge-1):} Also, [.]is greatest integer function then f(f(-2.4)) is equal to :

Find the remiander when 32^(32) is divided 6.

Find the square root of 1156.

Find the square root of 1225.

(1+sec20^(@)+cot70^(@))(1-"co s ec"20^(@)+tan70^(@)) किसके बराबर होगा ?

In the previous question (no.63) find the number of ways in which only two balls can be put in the correct boxes i.e., the colour of box and the colour of contained ball be same.

The ratio of milk and water in four vessels are 1 : 2, 3 : 2, 7 : 3 and 1 : 1. The ratio of capacity of allvessels are in the ratio 1 : 2 : 3 : 4. All are poured into a fifth vessel, then find the ratio of milk and water in a fifth vessel, then find the ratio of milk and water in fifth vessel.

If x=asecthetacostheta,y=bsecthetasinthetaandz=thetatantheta, then find the value of (x^(2))/(a^(2))+(y^(2))/(b^(2))-(z^(2))/(c^(2))

In the given figure AB = 12, AC = 15 cm and AD = 6 cm. BC||DE, find the length of AE

A student has to secure 36% marks to pass. He gets 150 marks and fails by 30 marks. The maximum marks are

If {x} is the least integer than or equal to x, then find the value of the following series : {sqrt1} + {sqrt2} + {sqrt3} + {sqrt4} + … + {sqrt(99)} + {sqrt(100)}

Find x, iflog_(2x)sqrtx+log_(2sqrtx)x=0:

If the lengthof the diagonal of a cube is 6sqrt(3) cm , then lengthofthe edgeof the cube is 3 cm .

In the given figure O is the centre of the circle and angleBAC = 25^(@), then the value of angleADB is :

A farmer sold a cow and a calf for Rs 760 and got a profit of 10% on the cow and 25% on the calf. If he sells the cow and the calf for Rs 767.50 and gets a profit of 25% on the cow and 10% on the calf, find the individual cost price of the cow and the calf.

A person bought some articles at rate of 6 for Rs 5 and sold them at the rate of 5 for Rs 6. Find the profit or loss %.

Ratio between speed of yatch in still water to speed of stream is 8:1.if 67.5km is travelled downstream in 2.5 hours then find the differenec between speed of yatch in still water to speed of strem (in kmph)?

What would be the C.I. on an amount of rs. 4800 at the rate of 5% p.a. for 3 years?

The three co-terminus edges of a rectangular solid are 36 cm, 75 cm and 80 cm respectively . Find the edge of a cube which will be of the same capacity :

If(loga)/(b-c) = (logb)/(c-a) = (logc)/(a-b),then prove that a^(a)b^(b)c^(c)=1.

In Fig.10.59, A Bis a chordof length 16cm of a circle of radius 10cm. The tangents at Aand Bintersectat a point P. Find thelength of P A. (FIGURE)

If p sintheta+qcostheta=3&qsintheta-pcostheta=2, then p^(2)+q^(2)=?

PQ is a direct common tangent of two circles of radii r_(1) and r_(2) touching each other externally at A. Then the value of PQ^(2) is :

If costheta=3/5, find the value of sin2theta :

If the difference of two numbers is 3 and the difference of their squares is 39, then the larger number is

The probability that a leap year selected at random contains either 53 Sundays or 53 Mondays, is :

The LCM of two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the number is 100, then the other number is?

A man reduces his speed from 20 km/h to 18 km/h so he takes 10 minutes more than the normal time.What is the distance travelled by him?

A group of workers can complete a job in 120 days. If there were 4 more such workers then the work could be finished in 12 days less. What was the actual strength of workers?

What will be the amount when ₹ 1000 is deposited in a bank at 10% per annum compounded annually for 3 years?

If the two incorrect watches are set at 12 : 00 noon at correct time, when will both the watches show the correct time for the first time given that the first watch gains 1 min in 1 hour and second watch loses 4 min in 2 hours :

(7^(19)+2)is divided by 6. The remainder is1(b) 2 (c) 3 (d) 5

If the numerator of a fractional be increased by 15% and itsdenominator be diminished by 8% the value of the fraction is (15)/(16)dotFind the original fraction.