8677 + Interview Questions in Maths in Class 14 Page 64 InterviewSolution

3151.	Maximum number of squares possilble that can be constructed using 31 pencils of equal length on the table.
Answer» 30 20 15 29 Answer :B

Discussion

3152.	Two pipes can fill a tank in 6 hours and 8 hours respectively. A third pipe can empty the same tank in 12 hours. If all the pipes start working together, how long it will take to fill the tank?
Answer» 5.2 hours 4.8 hours 4.5 hours 4 hours Answer :A

Discussion

3153.	I.7x + 6y + 4z = 122 II.4x+5y + 3z = 88 III.9x+2y + z = 78
Answer» `X lt y = z ` ` x le y lt z ` ` x lt y gt z ` ` x = y gt z ` Solution :` 7x+6y+4z = 122` …(i) ` 4x+5y+3z = 88` …(II) ` 9x + 2y + z = 78` …(iii) By equation (iii) `XX` 3 - equation(ii), `{:(27x+6y+3z = 234),( 4x + 5y + 3z = " "88),(-" "-" "-""-),(bar(""23x+y=146)):}""` ....(iv) By equation (iii) ` xx 4 -` equation(i), `{:(36x+8y+4z=312),(7x+6y+4z=122),(-" "-" "-""-),(bar(""29x+2y=190)):}""` ....(v) By equation (iv) ` xx 2 -` equation(v), `{:(46x+2y=292),(29x+2y=190),(-" "-" "-),(bar( ""17x=102)):}""`...(iv) ` rArrx = 6` From equation (iv), ` 23 xx 6 +y = 146` ` rArry = 146 - 138 = 8` From equation(iii), ` 9 xx 6 + 2 xx 8 + z = 78` ` rArr54+ 16 - z = 78` ` rArrz = 78 - 70 = 8` Clearly, ` x lt y = z `

Discussion

3154.	A sweet shop sells 9 verities of sweets. The shopkeeper wants to pick not more than one piece of any variety of sweets to make the assortment of sweets. He then packs equal number of pieces in each box from variety of sweets in order to have maximum number of distinct assortments. How many verities of sweets should he pack in a box so that each box contains distinct assortment of sweets ?
Answer» A) 3 B) 4 C) 5 D) BOTH (B) AND ( C) Answer :D

Discussion

3155.	Which of the following statements are true? 1. LCM of 10a^(2)b, 15abc, 20a^(2)b^(2)c^(2) is 20a^(2)b^(2)c^(2) 2. HCF of (6x^(2)-7x-3) and (2x^(2)+11x-21) is 2x-3. 3. HCF of (6x^(2)-7x-3) and (2x^(2)+11x-21) is 2x-3.
Answer» 1,2,3 1,2 1,3 2,3 Answer :D

Discussion

3156.	A five digits number divisible by 3 is to be formed using the number 0,1,2,3,4 and 5 without repetition. The number of such numbers are m^(3) then m is equal to
Answer» 122 210 216 217 Answer :C

Discussion

3157.	At what time between 3 oclock and 4o clock will the handsof a clock be together
Answer» `16(3)/(11)` MIN PAST 3 `14(3)/(11)` min past 3 `13(2)/(11)` min past 3 `16(4)/(11)` min past 3 Answer :D

Discussion

3158.	Water flows at the rate of 10 m/min from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth is 24 cm?
Answer» 315 s 365 s 5 MIN NONE of these Answer :A

Discussion

3159.	Three fair coins are tossed simultaneously.Find the probability of getting at least two heads.
Answer» `3/8` `7/8` `1/2` `1/4` ANSWER :C

Discussion

3160.	The number of two digit numbers which are perfect square and perfect cube both is :
Answer» 0 2 can't be determined non of these Answer :D

Discussion

3161.	Initially the diameterof a balloon is 28 cm. It can explode when the diameterbecomes 5/2 times of the initial diameter . Air is brown at 156 cc/s. It is known that the shape of balloon always remains spherical . In how many seconds the balloon will explode ?
Answer» A)`1078 s` B)`1368 s ` C)`1087 s` D)none of these ANSWER :A

Discussion

3162.	ABCxxDEED=ABCABC find D+E = ?
Answer» ANSWER :`=4`

Discussion

3163.	There are two square ABCD and PQRS with the same area. Square ABCD has the largest possible circle inscribed in it, while square PQRS has four circles, tangent to each other, inscribed in it such that the maximum area occupied by the circle in ABCD to the total area occupied by the circles in PQRS?
Answer» 1:2 `1:SQRT2` `2:SQRT3` 1:1 Answer :C

Discussion

3164.	Convert (0.825)_(10) to octal.
Answer» ANSWER :`(64631)_8`

Discussion

3165.	O and C are respectively orthocentre and circumcentre of a Delta PQR. P and O joined and produced to meet side QR at S. angle PQS=60^(@), angleQCR=130^(@). Find angle RPS.
Answer» 30 35 40 45 Answer :`35^(@)`

Discussion

3166.	Jagatram, a trader, owes a merchant Maganlal Rs 5014 due 1 yr hence. Jagatram wants to settle the ac-count after 3 months. If the rate of interest is 12% per annum, how much cash should Jagatram pay?
Answer» RS 9200 Rs 5600 Rs 4600 Rs 6600 Answer :C

Discussion

3167.	Solve the following expressions . (-4)^3 xx 5^2 xx 7^0
Answer» ANSWER :`-1600`

Discussion

3168.	Any two of the four triangles formed by joining the mid - points of the sides of a given triangle are :
Answer» congurent equal in AREA but not congruent unequal in area and not congruent none of the above Answer :A

Discussion

3169.	The sum of two numbers is 36 and their HCF is 4. How many pairs of such number are possible?
Answer» 1 2 3 4 Answer :C

Discussion

3170.	If X and Y are two sets, then Xnn(XuuY) equals
Answer» X Y `PHI` NONE of these ANSWER :C

Discussion

3171.	There are four balls of different colours and four boxes of colours same as those of the balls. The number of ways in which the balls, one each in a box, could be placed such that a ball does not go to a box of its own colour is _
Answer» a. 16 b. 9 c. `""^(4) C_2` d. NONE of these Answer :D

Discussion

3172.	Given the. two roots .sqrt3 and-3sqrt3 how rnany quadratic equations can be formed?
Answer» 2 1 0 none of these Answer :C

Discussion

3173.	Find the value of (tanA+secA-1)cosA.
Answer» a) `1+sinA` B) `(1+sinA)(tanA-secA+1)` C) `1-sinA` d) NONE of these Answer :B

Discussion

3174.	The probabilities that a student passes in Mathematics,Physics and Chemistry are m, p and c, respectively. Of these subjects, the student has a 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Which of the following relations are true?
Answer» `p+m+C=27/20` `p+m+c=13/20` PMC=`1/10` Both(a) and ( c ) ANSWER :D

Discussion

3175.	For what value of m equation 4x^(2) + 6mx + 9=0 have equal roots
Answer» ANSWER :`+- 2`

Discussion

3176.	7^(74) - 4^(74) is divisible by :
Answer» 3 11 7 BOTH (a) AND (B) ANSWER :D

Discussion

3177.	– 948 + 147 – ? = – 1432
Answer» 683 631 648 676 Answer :D

Discussion

3178.	-p^2+529=0 2q^2-1058=0
Answer» `pltq` `pgtq` `PLE Q` connotbe DETERMINED

Discussion

3179.	A is thrice efficient as B and A-takes 20 days to do a job, then in how many days B can finish the same job?
Answer» ANSWER :60

Discussion

3180.	18!+19!
Answer» ANSWER :`=4`

Discussion

3181.	Find the total number of non-negative integers less than 1000 for which the sum of the digits is 10
Answer» A) 63 B) 66 C) 67 B) 56 Answer :A

Discussion

3182.	Froma wellshuffliedpaclof 52playing cards, fourcardsareaccidentlydropped . Findthe probabilitythatonecardis missingfromeachsuit .
Answer» `17/20825` `2197/20825` `197/1665` NONE of these Answer :B

Discussion

3183.	Ahluwalia and Bimal together take 6 days to finish the work.'Bimal and Jalan together take 10. days to finish the Work What is the difference between number of day taken by Ahluwalia and Jalan when :they worked, alone to complete the whole work?
Answer» 12 days 16 days 15 days can’t be determined Answer :D

Discussion

3184.	Ifx^(51) +51 is dividedby x+1 , thentheremainder is
Answer» ANSWER :50

Discussion

3185.	If A+B=45^(@), find the valueof tanA+tanB+tanA tanB:
Answer» -1 44228 `SQRT3` 1 Answer :D

Discussion

3186.	(i) The sum of n terms of two arithmetic series are in the ratio of (7n+1)/(4n+27). Find the ratio of their 11 th terms. (ii) The sum of n terms of arithmetic progressions are in the ratio(3n+8):(7n+15). Find the ratio of their 12 th terms.
Answer» 0.16875 0.21111111111111 0.29444444444444 none of a,B,c Answer :A

Discussion

3187.	In what time willRs. 1200 earn an interest of Rs. 240 at 5% per annum ?
Answer» sdfasdgasdf Answer :4 YEARS

Discussion

3188.	If x-y= -1, then find the value of x^3 - y^3 +3xy
Answer» 1 `-1` 3 `-3` ANSWER :B

Discussion

3189.	If sintheta=(24)/(25)andtheta is in second quadrant, then sectheta+tantheta=?
Answer» `-3` `-5` `-7` `-9`

Discussion

3190.	If I is the incentre of triangleABC and angleA = 60^@, then the value of angleBIC is
Answer» `100^@` `120^@` `150^@` `110^@` Answer :B

Discussion

3191.	A hemispherical bowl of internal radius 6 cm contains alcohol. This alcohol is to be filled into cylindricalshaped small bottles of diameter 6 cm and height 1 cm. How many bottles will be needed to empty the bowl ?
Answer» 36 27 16 4 Answer :C

Discussion

3192.	Find the equation of a line passing through (2,3) and (5,4)
Answer» ANSWER :C=the LENGTH of INTERCEPT by LINE on y AXIS

Discussion

3193.	A man travels 200 km distance with the speed of 40 m/s and next 50 km with the speed of 10 m/s . Find the average speed of man.
Answer» 14(2/7)km/hr 14(5/7) km/hr 15.6 km/hr none of these Solution :AVERAGE SPEED = (200+300+500)/((200/40)+(300/20)+(500/10))=14.2857 km/hr

Discussion

3194.	Express the following in the lowest terms. sqrt(((x^(2)+3x+2)(x^(2)+5x+6))/(x^(2)(x^(2)+4x+3)))
Answer» `(X+2)/(2)` `(x+2)/(x)` `(x-2)/(x)` `(x+4)/(x+3)` ANSWER :B

Discussion

3195.	In a trapizium ABCD, angleBAE=30^(@), angleCDF=45^(@), BC = 6 cm. and AB = 12 cm. then find area of trapizium ABCD.
Answer» `18(3+sqrt3)CM^(2)` `36sqrt3cm^(2)` `12(3+2sqrt3)cm^(2)` NONE of these Answer :A

Discussion

3196.	When a shopkeeper reduces the selling price from,1080 to 1026 its loss increases by 4 percentage point. What is the selling price of this same article when it fetches, a profit of 4%?
Answer» ₹ 1392 ₹ 1404 ₹ 1450 ₹ 1350 Answer :B

Discussion

3197.	The marked price of a radio is480. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent would be
Answer» 0.18 `18.5%` `20.5%` 0.2 Answer :D

Discussion

3198.	Ram and Nikhil both are dealers of Boeing helicopter. The price of boeing helicopter is Rs. 28000. Ram gives a discount of 10% on the whole, while Nikhil gives a discount of 12% on first Rs 20000 and 8% on the rest Rs. 8000. What is the difference between their selling prices?
Answer» ANSWER :RS. 240

Discussion

3199.	The number of ways in which 4 pictures can be hung from 6, picture nails on the wall is :
Answer» `4^6` `"^4P_6` `"^6P_4` `6^4` ANSWER :C

Discussion

3200.	When a bicycle manufacturer reduced its selling price by 50%, the number of bicycles sold radically increased by 600%. Initially the manufacturer was getting only 140% profit. What is the percentage increase of his profit?
Answer» `10%` `14%` `0%` can’t be determined Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

Maximum number of squares possilble that can be constructed using 31 pencils of equal length on the table.

Two pipes can fill a tank in 6 hours and 8 hours respectively. A third pipe can empty the same tank in 12 hours. If all the pipes start working together, how long it will take to fill the tank?

I.7x + 6y + 4z = 122 II.4x+5y + 3z = 88 III.9x+2y + z = 78

Which of the following statements are true? 1. LCM of 10a^(2)b, 15abc, 20a^(2)b^(2)c^(2) is 20a^(2)b^(2)c^(2) 2. HCF of (6x^(2)-7x-3) and (2x^(2)+11x-21) is 2x-3. 3. HCF of (6x^(2)-7x-3) and (2x^(2)+11x-21) is 2x-3.

A five digits number divisible by 3 is to be formed using the number 0,1,2,3,4 and 5 without repetition. The number of such numbers are m^(3) then m is equal to

At what time between 3 oclock and 4o clock will the handsof a clock be together

Water flows at the rate of 10 m/min from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth is 24 cm?

Three fair coins are tossed simultaneously.Find the probability of getting at least two heads.

The number of two digit numbers which are perfect square and perfect cube both is :

Initially the diameterof a balloon is 28 cm. It can explode when the diameterbecomes 5/2 times of the initial diameter . Air is brown at 156 cc/s. It is known that the shape of balloon always remains spherical . In how many seconds the balloon will explode ?

ABCxxDEED=ABCABC find D+E = ?

There are two square ABCD and PQRS with the same area. Square ABCD has the largest possible circle inscribed in it, while square PQRS has four circles, tangent to each other, inscribed in it such that the maximum area occupied by the circle in ABCD to the total area occupied by the circles in PQRS?

Convert (0.825)_(10) to octal.

O and C are respectively orthocentre and circumcentre of a Delta PQR. P and O joined and produced to meet side QR at S. angle PQS=60^(@), angleQCR=130^(@). Find angle RPS.

Jagatram, a trader, owes a merchant Maganlal Rs 5014 due 1 yr hence. Jagatram wants to settle the ac-count after 3 months. If the rate of interest is 12% per annum, how much cash should Jagatram pay?

Solve the following expressions . (-4)^3 xx 5^2 xx 7^0

Any two of the four triangles formed by joining the mid - points of the sides of a given triangle are :

The sum of two numbers is 36 and their HCF is 4. How many pairs of such number are possible?

If X and Y are two sets, then Xnn(XuuY) equals

There are four balls of different colours and four boxes of colours same as those of the balls. The number of ways in which the balls, one each in a box, could be placed such that a ball does not go to a box of its own colour is _

Given the. two roots .sqrt3 and-3sqrt3 how rnany quadratic equations can be formed?

Find the value of (tanA+secA-1)cosA.

For what value of m equation 4x^(2) + 6mx + 9=0 have equal roots

7^(74) - 4^(74) is divisible by :

– 948 + 147 – ? = – 1432

-p^2+529=0 2q^2-1058=0

A is thrice efficient as B and A-takes 20 days to do a job, then in how many days B can finish the same job?

18!+19!

Find the total number of non-negative integers less than 1000 for which the sum of the digits is 10

Froma wellshuffliedpaclof 52playing cards, fourcardsareaccidentlydropped . Findthe probabilitythatonecardis missingfromeachsuit .

Ahluwalia and Bimal together take 6 days to finish the work.'Bimal and Jalan together take 10. days to finish the Work What is the difference between number of day taken by Ahluwalia and Jalan when :they worked, alone to complete the whole work?

Ifx^(51) +51 is dividedby x+1 , thentheremainder is

If A+B=45^(@), find the valueof tanA+tanB+tanA tanB:

(i) The sum of n terms of two arithmetic series are in the ratio of (7n+1)/(4n+27). Find the ratio of their 11 th terms. (ii) The sum of n terms of arithmetic progressions are in the ratio(3n+8):(7n+15). Find the ratio of their 12 th terms.

In what time willRs. 1200 earn an interest of Rs. 240 at 5% per annum ?

If x-y= -1, then find the value of x^3 - y^3 +3xy

If sintheta=(24)/(25)andtheta is in second quadrant, then sectheta+tantheta=?

If I is the incentre of triangleABC and angleA = 60^@, then the value of angleBIC is

A hemispherical bowl of internal radius 6 cm contains alcohol. This alcohol is to be filled into cylindricalshaped small bottles of diameter 6 cm and height 1 cm. How many bottles will be needed to empty the bowl ?

Find the equation of a line passing through (2,3) and (5,4)

A man travels 200 km distance with the speed of 40 m/s and next 50 km with the speed of 10 m/s . Find the average speed of man.

Express the following in the lowest terms. sqrt(((x^(2)+3x+2)(x^(2)+5x+6))/(x^(2)(x^(2)+4x+3)))

In a trapizium ABCD, angleBAE=30^(@), angleCDF=45^(@), BC = 6 cm. and AB = 12 cm. then find area of trapizium ABCD.

When a shopkeeper reduces the selling price from,1080 to 1026 its loss increases by 4 percentage point. What is the selling price of this same article when it fetches, a profit of 4%?

The marked price of a radio is480. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent would be

Ram and Nikhil both are dealers of Boeing helicopter. The price of boeing helicopter is Rs. 28000. Ram gives a discount of 10% on the whole, while Nikhil gives a discount of 12% on first Rs 20000 and 8% on the rest Rs. 8000. What is the difference between their selling prices?

The number of ways in which 4 pictures can be hung from 6, picture nails on the wall is :

When a bicycle manufacturer reduced its selling price by 50%, the number of bicycles sold radically increased by 600%. Initially the manufacturer was getting only 140% profit. What is the percentage increase of his profit?