8677 + Interview Questions in Maths in Class 14 Page 13 InterviewSolution

601.	A person spends 87.5%of his income. His income increases by 59%and expenditure increases by 67% . Find his percentage increas or decrease in savings
Answer» ANSWER :`3%`

Discussion

602.	The sale price of an article including the sales tax is Rs 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then find the cost price of the article.
Answer» ANSWER :RS. 500

Discussion

603.	A certain sum of money becomes 35 times of itself in 17 years . Find the Rate of Interest.
Answer» ANSWER :2

Discussion

604.	If P and Q are two relatively prime number such that p+q =0 and p lt q . How fair are possible for (p,q)
Answer» ANSWER :2 PAIRS are POSSIBLE

Discussion

605.	How many five - figuresnumberscan beformedwiththedigits,1,2,3,4,5 giventhatan evendigitmay notoccupyan evenplaceif thedigitsmay berepeated ?
Answer» 1125 5210 1152 2120 Answer :A

Discussion

606.	If x^(2)+3x+7=0 and ax^(2)+bx+c=0 have a common root,such that a,b,c in{1,2,3,......,50} then the sum of minimum and maximum values of a+b+c is
Answer» REAL and DISTINCT ROOTS imaginary roots rational roots real and EQUAL roots ANSWER :A

Discussion

607.	If the given figure, AB is diameter of the circle, C and D lie on the semicircle. angle ABC = 65^(@) and angle CAD = 45^(@), find angle DCA.
Answer» `45^(@)` `25^(@)` `20^(@)` none of these Answer :C

Discussion

608.	Find the number of terms of the A.P. 98,91,84,…must be taken to give a sum of zero :
Answer» 14 15 31 29 Answer :D

Discussion

609.	Amit covers a certain distance with his own speed but when he reduces his speed by 10 km/h his time duration for the journey increases by 40 hours , while if he increases his speed by 5 km/h from his originAl speed he takes 10 hours less than the original time taken. find the distance covered by him.
Answer» ANSWER :1500 KM

Discussion

610.	My watch was 8 minutes behind at 8 pm on Sunday but within a week at 8 pm on Wednesday it was 7 minutes ahead of time. During this period at which time this watch has shown the correct time :
Answer» Tuesday 10 : 24 am Wednesday 9 : 16 pm It cannot show the CORRECT TIME during this period None of the above Answer :A

Discussion

611.	The nature of the roots of the equation x^(2)-5x+7=0 is
Answer» no REAL roots 1 real root can't be detemined none of these Answer :A

Discussion

612.	If u_(n) = cos^(n) alpha + sin^(n) alpha , then the value of 2 u_(6) - 3 u_(4) +1 is :
Answer» 1 5 0 `-1` ANSWER :A

Discussion

613.	Find the value of [(^10C_1 + ^10C_3 + ^10C_5 + …) xx (^20C_1 + ^20C_3 + ^20C_5 + …) xx (^30C_1 + ^30C_3 + ^30C_5 + …) xx …. xx (^100C_1 + ^100C_3 + ^100C_5 + ….)]
Answer» A) 540 B)`55^2` C) `2^(540)` D) `22^55 - 1` ANSWER :C

Discussion

614.	Roots can be conjugate except when
Answer» `DLT0` `alt0` `DGT0` D = 0 Answer :D

Discussion

615.	If x+ (1)/(x) = sqrt3 find x^(25) + (1)/(x^(25))
Answer» ANSWER :`SQRT3`

Discussion

616.	If x+ (1)/(x)= -sqrt3 find x^(25) + (1)/(x^(25))
Answer» ANSWER :`-SQRT3`

Discussion

617.	A certain number of men can do a work in 35 days. If there were 10 men more it could be finished in 10 days less. How many men are there?
Answer» 20 25 30 32 Answer :25

Discussion

618.	In a square ABCD, A is joined to a point X on BC and D is joined to a point Y on AB. If AX = DY, prove that AX is perpendicular to DY.
Answer» `60^(@)` `120^(@)` `90^(@)` can't be determined Answer :C

Discussion

619.	Solve for x : 3x^3={x^2+ sqrt18x+sqrt32} {x^2- sqrt18x-sqrt32} -4x^2.
Answer» `3+-sqrt17,(-3+-sqrt7i)/2` `3+-sqrt17,(-3+-sqrt17i)/2` `3+-sqrt7,(-3+-sqrt17i)/2` `3+-sqrt17,(3+-sqrt17i)/2` ANSWER :A

Discussion

620.	cot((pi)/(4)+theta)cot((pi)/(4)-theta)=?
Answer» `-1` 1 0 `OO` ANSWER :A

Discussion

621.	A man walks from A to B and back in a certain time at the rate of 3.5 km per hour. But if he had walked from A to B at the rate of 3 km per hour and back from B to A at the rate of 4 km a hour, he would have taken 5 minutes longer. Find the distance between A and B:
Answer» (a)7 km (b)8 km (C)9 km (d)10 km Answer :7 km

Discussion

622.	A dishonest dealer purchases goods at 20% discount of the cost price of Rs x and also cheats his wholesaler by getting 20% extra through false weighing, per kg. Then, he marks up his goods by 80% of x, but he gives a discount of 25% besides he cheats his customer by weighing 10% less than the required. What is his overall profit percentage?
Answer» `125%` `100%` `98.66%` `120%` ANSWER :A

Discussion

623.	9x^2-30x+25le0
Answer» A.`-3lexle5` B.`-5lexle3` C.`5/3` D.`xle5/3` ANSWER :C

Discussion

624.	In a car agency one day 120 cars were decorated with three different accessories viz., power window, AC and music system. 80 cars were decorated wtih power windows, 80 cars were decorated with AC and 80 cars were decorated with music systems. What is the minimum and maximum number of cars which were decorated with all of three accessories?
Answer» 10,61 10,45 25,35 noneof these ANSWER :D

Discussion

625.	Data is provided for 3 months for a water tank whose capacity is 900000 L to provide continuous water supply to a colony. Water tank is first completely filled and then it gets completely emptied to supply water in the colony . It supply water continuously to the colony and is refilled again and again to provide continous supply. In the colony there are 60 houses in which all houses may or may not be completely occupied in the given three months . June to Each house is filled with a tap from which rate of flow of tankprovides continous water supply to these tap in the whole month. Julyto In this month 45 houses are occupied and tank gets emptied after4 (1)/(6)days .Rate of flow from one tap is same as of June. Augustto Rate of flow of water from the taps is same as of June and gets emptied after supplying water to the colony for 100 hr. Number of houses occupied in August in Q%. In June tank has to be filled how many times ?
Answer» 5 6 9.6 7 Solution :Efficiency of tap =250 L/h In JUNE there are TOTAL 30 days Total houses=30 Let tank is REFILLED N times so, `nxx900000=250xx24xx30xx30` n=6 hours

Discussion

626.	Data is provided for 3 months for a water tank whose capacity is 900000 L to provide continuous water supply to a colony. Water tank is first completely filled and then it gets completely emptied to supply water in the colony . It supply water continuously to the colony and is refilled again and again to provide continous supply. In the colony there are 60 houses in which all houses may or may hot be completely occupied in the given three months . June to Each house is filled with a tap form which rate of flow of tankprovides continuous water supply to these tape in the whole month. Julyto In this month 45 houses are occupied and tank gets emptied after4 (1)/(6)days .Rate of flow from one tape in June. Augustto Rate of flow of water from the taps is same as of June and gets emptied after supplying water to the colony for 100 hr. Number of houses unoccupied in August is P%. What is the value of P% ?
Answer» 30`%` 25`%` 33`%` 20`%` Solution :Total TIMES in which TANK GETS EMPTIED `=(25)/(6)xx24=100` hours So, rate of flow `=(900000)/(45xx100)=200` L/hour A% =`(250-200)/(250)xx100=20%`

Discussion

627.	Data is provided for 3 months for a water tank whose capacity is 900000 L to provide continuous water supply to a colony. Water tank is first completely filled and then it gets completely emptied to supply water in the colony . It supply water continuously to the colony and is refilled again and again to provide continous supply. In the colony there are 60 houses in which all houses may or may not be completely occupied in the given three months . June to Each house is filled with a tap from which rate of flow of tankprovides continous water supply to these tap in the whole month. Julyto In this month 45 houses are occupied and tank gets emptied after4 (1)/(6)days .Rate of flow from one tap in June. Augustto Rate of flow of water from the taps is same as of June and gets emptied after supplying water to the colony for 100 hr. Number of houses occupied in August is Q%. What is the value of Q%?
Answer» 80`%` 40`%` 75`%` `70%` Solution :Let N number of house were occupied `x xx 250 xx 100=900000` x=36 houses B% `=(36)/(60)xx100=60%`

Discussion

628.	Data is provided for 3 months for a water tank whose capacity is 900000 L to provide continuous water supply to a colony. Water tank is first completely filled and then it gets completely emptied to supply water in the colony . It supply water continuously to the colony and is refilled again and again to provide continuous supply.. In the colony there are 60 houses in which all houses may or may not be completely occupied in the given three months . June to Each house is filled with a tap form which rate of flow of tankprovides continuous water supply to these tap in the whole month. Julyto In this month 45 houses are occupied and tank gets emptied after4 (1)/(6)days .Rate of flow from one tap is same as June. Augustto Rate of flow of water from the taps is same as of June and gets emptied after supplying water to the colony for 100 hr. Number of houses occupied in August in Q%. In May efficiency of each tap decreases by 20% due to leakage as compared to efficiency of June and capacity of tank is reduced to 80% In how many hours tank willbe emptied in Mayif total occupied housesin May is equal to no. of occupied housesin July .
Answer» 65 hours 70 hours 30 hours 80 hours Solution :Efficiency of atap in May `=(4)/(5)xx250=200` L/hour New capacity of the tank `=(4)/(5)xx900000=720000 L` Occupied houses in May =45 REQUIRED time `=(720000)/(200xx45)=80` hours

Discussion

629.	A and B together can complete a particular task in 8 days. If B alone can complete the same task in 10 days, how many days will A take to complete the task if he works alone ?
Answer» 28 36 40 32 Solution :LET the A can do the task in x days. `1/x + 1/10=1/8` ltbgt `1/x = 1/8 - 1/10 + (10-8)/80 = 2/80 =1/40` `x=40` Alternate Solution: If total work = 80 units Then in 1 day (A+B) will do `80/10 =10` UNIT of work `therefore` A does 2 unit of work each day `therefore` A REQUIRES `80/2 = 40` days to COMPLETE work

Discussion

630.	Use of common factor(2^(4444)+ 3^(5555))/( 7)Find Remainder.
Answer» ANSWER :`=0`

Discussion

631.	A, B and C can finish a piece of work in 16 days, 20 days and 24 days respectively. They started working together. How many days before B should leave the work so that work must complete in 7 days?
Answer» ANSWER :`1(7)/(12)` DAYS

Discussion

632.	If alpha and beta are the roots of the , quadratic equation ,ax^(2)+bx+c=0 ,with alpha < beta ,then for x < alpha (or) x > beta, ax^(2)+bx+c and a have , (A) Opposite sign (B) Positive sign (C) same sign (D) none of these
Answer» RATIONAL numbers REAL and negative negative real parts none of these Answer :C

Discussion

633.	A covers 1/3rd of his journey at the speed of 10 km/h and half of the rest at the speed of 20 km/h and rest at the speed of 30 km/h.What is the average speed of A?
Answer» 6(2/11)km/h 16(4/11)km/h 16(4/11)m/s none of these Answer :B

Discussion

634.	If thediameter of the base of a closed right circular cylinder be equal to itsheight h ,then itswhole surface area is2pih^2 (b)3/2pih^2 (c) 4/3pih^2 (d) pih^2
Answer» 2/3 PI h^2` 3/2 pi h^3` `3/2 pi h^2` `pi h^3` ANSWER :C

Discussion

635.	If c and d are roots of the equation (x-a) (x-b) - k = 0, then a, b are roots of the equation
Answer» (X - C) (x - d) - K= 0 (x + c) (x + d) -k = 0 (x - c) (x - d) + k= 0 (x + a) (x + B) + k= 0 Answer :C

Discussion

636.	In the given figure,AB and CDare parallel lines. If angleEGB =50^@, find angleCHG.
Answer» ANSWER :`130^@`.

Discussion

637.	Arrange the following integers in ascending order -2, -5, 9, 4, 1, 5, 15, -20.
Answer»

Discussion

638.	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. The Lucknow Jal Nigam supplies the water under four categories : urban (25%) rural (15%) domestic (40%) industrial (20%). In 2003-04, the total water supplied by the Lucknow Jal Nigam was 20,000 kilo-litres. In the given two years, what is the total tariff paid by the Urban sector ?
Answer» RS. 16,000 Rs. 48,000 RS. 23,000 can't be determined Answer :D

Discussion

639.	The sides of a triangle are in the ratio 1:sqrt3:2 then the angles of the triangle are in the ratio
Answer» A)`1:3:5` B)`2:3:4` C)`3:2:1` D)`1:2:3` ANSWER :D

Discussion

640.	A rope by which a calf is tied is decreasedfrom 23 m to 12 m. What is the decrease in area to be grazed by it ?
Answer» `1110 m^2` `1210 m^2` `1120 m^2` `1221 m^2` ANSWER :B

Discussion

641.	The product of two numbers is 396 xx 576 and their LCM is 6336. Find their HCF:
Answer» 36 34 63 43 Answer :A

Discussion

642.	If cottheta=1/p, then sin2theta is equal to
Answer» `1/(1+p^2)` `(2P)/(1+p^2)` `p^2/(1+p)` `(1+p^2)/(1+p)` ANSWER :B

Discussion

643.	Eight years ago there were 5 members in the Arthur's family and then the average age of the family was 36 years. Mean while Arthur got married and gave birth to a child still the average age of his family is same now. The age of his wife at the time of his child's birth was if the difference between the age of her child and herself was 26 years :
Answer» 25 years 26 years 32 years data insufficient Answer :D

Discussion

644.	Two trains leave meerut at the diffrence of 4 hours The first train leaves at 8 am at 40 km/h and the faster train leaves later at 60 km/h in the same direction.What is the distance from meerut where one train overtakes another train?
Answer» 480 km 420 km 360 km 250 km Answer :A

Discussion

645.	The ratio of milk and water in three vessels are 3 : 1, 4 : 3and5 : 2. The ratio of capacity of all vessels are in the ratio 6 : 4 : 3. All are poured into afourth vessel, then find the ratio of milk and water infourth vessel..
Answer» ANSWER :`125: 57`

Discussion

646.	Let ABC be a right angled triangle with BC=5 cm and AC=12 cm. Let D be a point on the hypotenuse that AB such that angle BCD=30^@ What is the length of CD ?
Answer» `(12)/(5)` CM `(24)/(4+sqrt3)` cm `(8+sqrt3)/(3+4sqrt3)` cm `(8sqrt3)/(4+sqrt3)` cm ANSWER :D

Discussion

647.	A 10 km race is organised at 800 m circular race course . P and Q are the contestants of this race. If the ratio of the speeds of P and Q is 5 : 4, how many times will the winner overtake the loser?
Answer» A. 4 TIMES B. 1 times C. 2 times D.3 times ANSWER :C

Discussion

648.	Downstream speed of boat is 50 km/h and upstream speed of boat is 30 km/h. Find the speed of boat in still water and speed of stream?
Answer» SOLUTION :N/A

Discussion

649.	For-the quadratic equation 3x^2+12xx+10=0 , what is the .distance between the y-axis and the axis of symmetry of the quadratic graph?
Answer» 2 UNITS 4 units 3 units 6 units Answer :A

Discussion

650.	A retailer uses faulty balances to purchase arid sell the goods. He uses his faulty balances in such a way that while buying the goods from wholesaler he gets 8% more of what he pays for, while selling his goods to his customer he gives 10% less of what he charges for..If he earns a profit of 28.56%, by minimum how much per cent does he markup or discount the price?
Answer» 6.67 10 12.5 none of these Answer :D

Discussion

Explore topic-wise InterviewSolutions in .

A person spends 87.5%of his income. His income increases by 59%and expenditure increases by 67% . Find his percentage increas or decrease in savings

The sale price of an article including the sales tax is Rs 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then find the cost price of the article.

A certain sum of money becomes 35 times of itself in 17 years . Find the Rate of Interest.

If P and Q are two relatively prime number such that p+q =0 and p lt q . How fair are possible for (p,q)

How many five - figuresnumberscan beformedwiththedigits,1,2,3,4,5 giventhatan evendigitmay notoccupyan evenplaceif thedigitsmay berepeated ?

If x^(2)+3x+7=0 and ax^(2)+bx+c=0 have a common root,such that a,b,c in{1,2,3,......,50} then the sum of minimum and maximum values of a+b+c is

If the given figure, AB is diameter of the circle, C and D lie on the semicircle. angle ABC = 65^(@) and angle CAD = 45^(@), find angle DCA.

Find the number of terms of the A.P. 98,91,84,…must be taken to give a sum of zero :

My watch was 8 minutes behind at 8 pm on Sunday but within a week at 8 pm on Wednesday it was 7 minutes ahead of time. During this period at which time this watch has shown the correct time :

The nature of the roots of the equation x^(2)-5x+7=0 is

If u_(n) = cos^(n) alpha + sin^(n) alpha , then the value of 2 u_(6) - 3 u_(4) +1 is :

Find the value of [(^10C_1 + ^10C_3 + ^10C_5 + …) xx (^20C_1 + ^20C_3 + ^20C_5 + …) xx (^30C_1 + ^30C_3 + ^30C_5 + …) xx …. xx (^100C_1 + ^100C_3 + ^100C_5 + ….)]

Roots can be conjugate except when

If x+ (1)/(x) = sqrt3 find x^(25) + (1)/(x^(25))

If x+ (1)/(x)= -sqrt3 find x^(25) + (1)/(x^(25))

A certain number of men can do a work in 35 days. If there were 10 men more it could be finished in 10 days less. How many men are there?

In a square ABCD, A is joined to a point X on BC and D is joined to a point Y on AB. If AX = DY, prove that AX is perpendicular to DY.

Solve for x : 3x^3={x^2+ sqrt18x+sqrt32} {x^2- sqrt18x-sqrt32} -4x^2.

cot((pi)/(4)+theta)cot((pi)/(4)-theta)=?

A man walks from A to B and back in a certain time at the rate of 3.5 km per hour. But if he had walked from A to B at the rate of 3 km per hour and back from B to A at the rate of 4 km a hour, he would have taken 5 minutes longer. Find the distance between A and B:

9x^2-30x+25le0

A and B together can complete a particular task in 8 days. If B alone can complete the same task in 10 days, how many days will A take to complete the task if he works alone ?

Use of common factor(2^(4444)+ 3^(5555))/( 7)Find Remainder.

A, B and C can finish a piece of work in 16 days, 20 days and 24 days respectively. They started working together. How many days before B should leave the work so that work must complete in 7 days?

If alpha and beta are the roots of the , quadratic equation ,ax^(2)+bx+c=0 ,with alpha < beta ,then for x < alpha (or) x > beta, ax^(2)+bx+c and a have , (A) Opposite sign (B) Positive sign (C) same sign (D) none of these

A covers 1/3rd of his journey at the speed of 10 km/h and half of the rest at the speed of 20 km/h and rest at the speed of 30 km/h.What is the average speed of A?

If thediameter of the base of a closed right circular cylinder be equal to itsheight h ,then itswhole surface area is2pih^2 (b)3/2pih^2 (c) 4/3pih^2 (d) pih^2

If c and d are roots of the equation (x-a) (x-b) - k = 0, then a, b are roots of the equation

In the given figure,AB and CDare parallel lines. If angleEGB =50^@, find angleCHG.

Arrange the following integers in ascending order -2, -5, 9, 4, 1, 5, 15, -20.

The sides of a triangle are in the ratio 1:sqrt3:2 then the angles of the triangle are in the ratio

A rope by which a calf is tied is decreasedfrom 23 m to 12 m. What is the decrease in area to be grazed by it ?

The product of two numbers is 396 xx 576 and their LCM is 6336. Find their HCF:

If cottheta=1/p, then sin2theta is equal to

Two trains leave meerut at the diffrence of 4 hours The first train leaves at 8 am at 40 km/h and the faster train leaves later at 60 km/h in the same direction.What is the distance from meerut where one train overtakes another train?

The ratio of milk and water in three vessels are 3 : 1, 4 : 3and5 : 2. The ratio of capacity of all vessels are in the ratio 6 : 4 : 3. All are poured into afourth vessel, then find the ratio of milk and water infourth vessel..

Let ABC be a right angled triangle with BC=5 cm and AC=12 cm. Let D be a point on the hypotenuse that AB such that angle BCD=30^@ What is the length of CD ?

A 10 km race is organised at 800 m circular race course . P and Q are the contestants of this race. If the ratio of the speeds of P and Q is 5 : 4, how many times will the winner overtake the loser?

Downstream speed of boat is 50 km/h and upstream speed of boat is 30 km/h. Find the speed of boat in still water and speed of stream?

For-the quadratic equation 3x^2+12xx+10=0 , what is the .distance between the y-axis and the axis of symmetry of the quadratic graph?