8677 + Interview Questions in Maths in Class 14 Page 9 InterviewSolution

401.	ABC is a DeltaBD = 8 BC = 20 CD = 16angle CBD = angle CABfind perimeter of ABC
Answer» ANSWER :`44 CM`

Discussion

402.	A, B and C working together can finish certain piece of work in 40 days. If (A + B) work together then take (1)/(3)less time than that of C takes alone. If (A + C) work together then they take (1)/(4)less time than that of B takes alone. In how many days (B + C) working together will finish the work?
Answer» ANSWER :`48(8)/(29)` DAYS

Discussion

403.	In the given figure, "AP = 3 cm, BA = 5 cm and CP = 2 cm". Find CD :
Answer» 12 cm 10 cm 9 cm 6 cm Answer :B

Discussion

404.	A person invests 12000 as fixed deposit at a bank at the rate of 10% per annum simple interest . But due to some pressing needs he has to withdraw the entire money after 3 years, for which the bank allowed him a lower rate of interest. If he gets 3320less than what he would have got at the end of5 years ., the rate of interst allowed by the bank is:(एक आदमी एक बैंक में 10 % वार्षिक साधारण बियाज की दर से रु 12000 सावधि कहते में जमाकरताहे लेकिन 3 वर्ष के बाद वह अपनी जरुरत के लिए धनराशि बैंक से निकाल लेता है जिस्मे बैंक काम बियाज दर प्रदान करता है यदि वह 5 वर्ष के अंत में मिलने वाली धनराशि से रु३३२० काम प्राप्त करता है, तो बैंक द्वारा दी जाने वली बियाज दर बताए)
Answer» ANSWER :`7(4)/(9)%`

Discussion

405.	The series of natural numbers is written as follows: {:(,,1,,),(,2,3,4,),(5,6,7,8,9),(...,,...,,...),(...,,...,,...):} Find the sum of the numbers in the nth row:
Answer» `n^3 +1` `(2n)^2 -1` `n^3 +(n-1)^3` none of these Answer :C

Discussion

406.	An old person forgets the last two digits of a telephone number, remembering only that these are different dialled at random. The probability that the number is dialled correctly is :
Answer» `1//90` `81//91` `2//99` NONE of these Answer :A

Discussion

407.	The value of sqrt900 + sqrt0.09 - sqrt0.000009 is :
Answer» 30.297 30.197 30.097 30.397 Answer :A

Discussion

408.	Without stoppages, the speed of a train is 150 km/h and with stoppages, it is 100 km/h. How many minutes, does the train stop?
Answer» 20 15 25 45 Answer :A

Discussion

409.	If a train 225 m long passesa telegraphic pole in 9 seconds then the time taken (in seconds) by it to cross a tunnel 450 m long is:
Answer» 8 s 10 s 27 s none of these Answer :C

Discussion

410.	If a function f satisfies the conditions f(x+y)=f(x)+f(y)AA, x,y in R, then f is :
Answer» an EVEN FUNCTION an ODD function neither even nor odd none of these Answer :B

Discussion

411.	Maneela, Raghu and Aravind have some jems with each of them. Five times the number of jems with Raghu equals seven times the number of jems with Maneela while five times the number of jems with Maneela equals seven times the number of jems with Aravind. What is the minimum number of jems that can be there with all three of them put together ?
Answer» A) 108 B) 107 C) 109 D) 110 Answer :RS. 3500, Rs. 2500

Discussion

412.	Sri krishna took the chariot and started his journey from mathura to gokul by his chariot at the speed of 40 km/hr nad then the same distance he travelled on his foot at the speed of 10km/hr from gokul to brindaban . Then he returned from brindanban to mathura via gokul at the speed of 24 km/hr riding on the horse . The average speed of the whole trip is :
Answer» 20km/hr 25 km/hr 19.2 km/hr 18.5 km/hr Solution :since the distance from mathura to gokul is same that of gokul to brindaban . So the AVERAGE speed from mathura to brindaban =`(2xx16xx24)/(40+10)`=16km/hr` again since he RETURNED on the same PATH so the distance from mathura to brindaban is same in boththe DIRECTIONS . thus the REQUIRED average speed =19.2 km/hr.

Discussion

413.	4(x-1/x)^2+8(x+1/x)=29 is
Answer» `-5,4` 3,2 1,3 `(3+sqrt5)/2,(-11+-3sqrt13)/2` ANSWER :D

Discussion

414.	Which of the following states has twice the percentage of villages electrified in comparision to State IP.
Answer» A C E F

Discussion

415.	If cottheta=3/4, then the value of sqrt((1+costheta)/(1-costheta)) is:
Answer» 1 2 3 4 Answer :B

Discussion

416.	If x+ (1)/(x)=3, then x^(5) + (1)/(x^(5))= ?
Answer» ANSWER :123

Discussion

417.	AB and CD are two parallel chords of a circle of lengths 10 cm and 4 cm respectively. If the chords are on the same side of the centre and the distance between them is 3cm, then the diameter of the circle is.
Answer» 676 756 576 720 Answer :B

Discussion

418.	Three pipes P,Q and R can fill a tank in 12, 15 and 20 minutes respectively. If pipe P is opened all the time and pipe Q and R are opened for one hour alternatively. The tank will be full in
Answer» 5 hr 6 hr 7 hr 8 hr SOLUTION :`(1//12 + 1//15) + (1//12 + 1//20) = 17/60` (in 2 hrs this much) tank is filled) So in 6 hrs 51 /60 is filled . Remaining, ` 9/60= (1/12 +1/15 ) xx T, ` so `T = 1 hr` so TOTAL ` = 6 + 1 = 7 hr`

Discussion

419.	A sells a cycle to B at a profit of 20% and B sells it to C at a loss of 25%. If C bought the cycle for Rs P, then the cost price of it for A was
Answer» ANSWER :500 RS

Discussion

420.	Keshav can row 60 km downstream and 36 km upstream ,taking 10 h each time .What is the velocity of the current?
Answer» 3 km/h 2.2 km/h 4 km/h 1.2 km/h Answer :D

Discussion

421.	In which of the following case the F-Br-F angle is less than 90^(@)?
Answer» (i),(v) and (VI) (C) (i), (IV) and (vi) (iii), (iv) and (vii) (ii) and (v) only Answer :B

Discussion

422.	If the semiperimeter of a right angle triangle isa 126 cm and length of smallest median is 56 cm. Find the areaof triangle .
Answer» ANSWER :1764

Discussion

423.	A sum of400 amountsto441 in 2 yr. What will be its amount, if the rate of interest is increased by 5% ?
Answer» RS 484 Rs 560 Rs 512 Rs600 Answer :A

Discussion

424.	From a rope of length 38 3/5 m , a piece of length 5 3/38 m is cut off. The length of the remaining rope is :
Answer» `190 99/33` `33 90/190` `33 99/190` NONE of these SOLUTION :`33 99/190`

Discussion

425.	Printing of a book depends on two factors fixed price and variable price which depends number of books printing. Publisher want to earn profit of 25% and according to him 500 copies of book of Rs 2 in 3 month and 1000 copies in 9 month. If he prints 4830 copies which will be sell out in 50 month then what will be his profit ?
Answer» ANSWER :1610 RS

Discussion

426.	If 35% of a number is 175, then 175 is what percent of that number?
Answer» a. 35% b. 65% C. 280% d. 420% Answer :A

Discussion

427.	The square root of 56169 is :
Answer» 359 323 227 None of these ANSWER :D

Discussion

428.	If f(x)=ax^2+bx+c and g(x)=-ax^2+bx+c, where acne0, the new equation f(x).g(x)=0 has n real roots. Find the minimum value of n.
Answer» 0 1 2 4 Answer :C

Discussion

429.	Two persons Alif and Laila start at the same time from Allahabad and Lucknow and proceeds towards each other at 45km/h and 54 km/h respectively when they meet it is found that one of them has travelled 72 km more than the other.The distance between the place (in km) is:
Answer» 729 792 540 none of these Answer :B

Discussion

430.	If 3 ^( x + y) = 81 and 81 ^( x - y) = 3, then the value of x/y is:
Answer» 17/16 17/8 M/A 15/4 Answer :A

Discussion

431.	Find the values that satisfy the polynimial inequation x^4+4x^3-12x^2ge0.
Answer» SOLUTION :`(-OO,6]UU{0}[2,oo)`

Discussion

432.	A bagcontains8 redand 4greenballs. Findthe probabiltythat Twoballsare redand oneball is greenwhenthreeballsare drawnat random .
Answer» `56/99` `112/495` `78/495` NONE of these Answer :B

Discussion

433.	If x+y=12 and xy=32 then the value of (x^2+y^2) is:
Answer» 69 80 89 none of these Answer :B

Discussion

434.	What is the number of men working in the Marketing department ?
Answer» ANSWER :429

Discussion

435.	The sum of the following series: 1.1^2 (1 - 0/1) + 2.2^(2) (1 - 1/2)+ 3.3^2 (1 - 2/3) + 4.4^2 (1 - 3/4) +….. upto n terms is :
Answer» `n.n^2 (1 - 1/n)` `(n(n +1)(2N + 1))/(6)` `(n(n + 1)^2)/(4)` none of these Answer :B

Discussion

436.	Two cards are drawn one by one wihtout replacement. Find the probability that both are hearts.
Answer» 0 1 can't be determined none of these Answer :D

Discussion

437.	Last year in CAT, each section of the question paper had different weightage. The weightage of QA, DI and VA/RC sections were 8,9 and 10 respectively . The maximum marks in all the three sections together was 810. Wrong answer did not carry negative marks as a penalty. If Padma had gotten 20%more marks in QA and 8% more marks in DI and 7.14...% more marksin VA/RC, then she must had gotten 100% marks in all the three sections. The total marksthat Padma had scored:
Answer» 718.98 700 750 775 Answer :A

Discussion

438.	At the foot of a mountain the elevation of its summit is 45^@, after ascending 1000m towards the mountain up a slope of 30^@ inclination, the elevation is found to be 60^@ Find the height of the mountain.
Answer» 1.3 km 1.366 km 2.72 km none of these Answer :B

Discussion

439.	A naughty student breaks the pencil in such a way that the ratio of two broken parts is same as that of the original length of the pencil to one of the larger part of the pencil. The ratio of the other part to the original length of pencil is
Answer» `1:2sqrt5` `2:(3+SQRT5)` `2:sqrt5` can't be determined Answer :B

Discussion

440.	(3^(162))/(162)find R.
Answer» 0 1 2 3 Answer :`81`

Discussion

441.	If Sohail walks from his home to office at 16 km/h, he is late by 5 min. If he walks at 20 km/h, he reaches 10 min before the office time. Find the distance of his office from his house
Answer» a. 22 KM b.20 km c. 18 km d. 16 km Answer :B

Discussion

442.	A, B and C working together can finish certain piece of work in 28 days. They work together for 18 days, then B left. If rest work done by A and C in 25 days. Work done by A in 2 days is equal to work done by C in 3 days, then find in how many days A, B and C working alone will finish the work?
Answer» Answer :`116(2)/(3)` DAYS, `46(2)/(3)` days, 175 days

Discussion

443.	Two teams - Anadi and Khiladi- are playing a cricket match. Anadi requires 12 runs in the last 3 balls to win the match. Any team can score 0 to 6 runs, execpt 5 runs, from a particular ball. In how many different ways Team Anadi can score 12 runs without any no-ball and wide-ball in the last 3 balls?
Answer» 11 12 13 none of these Answer :C

Discussion

444.	(sinalpha+secalpha)^(2)+(cosalpha+cosecalpha)^(2)=(K+secalphacosecalpha)^(2), then K = ?
Answer» 1 2 3 4 Answer :A

Discussion

445.	Solve the followings : The value of the expression ((0.3)^(1//3).(1/27)^(1//4) . (9)^(1//6).(0.81)^(2//3))/((0.9)^(2//3) . (3)^(-1//2) . (1/3)^(-2). (243)^(-1//4)) is:
Answer» 0.3 0.9 1.27 0.09 Answer :A

Discussion

446.	Minimum how many similar tiles of square shape are required to furnish the floor of a room with the length of 462 cm and breadth of 360 cm?
Answer» 4420 4220 4120 4620 Answer :D

Discussion

447.	When the price of pressure cooker was increased by 15%, its sale down by 15% . The effect on the money receipt was:
Answer» ANSWER :`2.25%`

Discussion

448.	A regular polygon is a plane shape that is enclosed by 3 or more lines of equal lengths and it is always symmetric having all the interior angles equal to each other, examples include equilateral triangle, square, regular pentagon, regular haxagon and so on. Verma has 120 identical matchsticks and he wants to form a regular polygon, how many distinct polygons can he create using all the matchsticks together?
Answer» 10 12 14 16 Answer :C

Discussion

449.	12 men alone can complete a piece of work in 6 days. Whereas 10 men and 21 women together take 3 days to complete the same piece of work. In how many days can 12 women alone complete the piece of work?
Answer» 10 9 11 8 Solution :`therefore` 12 MEN complete the work in 6 days. `therefore` 1 man's 1 day's work `= 1/72` `therefore`10 men's 3 day's work `=(10xx3)/72 = 5/12` Remaining work `=1- 5/12 = 7/12` `therefore` 21 WOMEN do `7/12` work in 3 days. `therefore by (M_(1)D_(1))/W_(1)=(M_(2)D_(2))/W_(2)` `(21xx3)/(7/12) = (12xxD_(2))/1 RARR (21xx3xx12)/(7xx12)=D_(2)` `rArr D_(2) = 9` days

Discussion

450.	In thegiven figure, if (DE)/(BC)=(2)/(3) and if AE = 10 cm. Find AB :
Answer» 16 cm 12 cm 15 cm 18 cm Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

ABC is a DeltaBD = 8 BC = 20 CD = 16angle CBD = angle CABfind perimeter of ABC

In the given figure, "AP = 3 cm, BA = 5 cm and CP = 2 cm". Find CD :

The series of natural numbers is written as follows: {:(,,1,,),(,2,3,4,),(5,6,7,8,9),(...,,...,,...),(...,,...,,...):} Find the sum of the numbers in the nth row:

An old person forgets the last two digits of a telephone number, remembering only that these are different dialled at random. The probability that the number is dialled correctly is :

The value of sqrt900 + sqrt0.09 - sqrt0.000009 is :

Without stoppages, the speed of a train is 150 km/h and with stoppages, it is 100 km/h. How many minutes, does the train stop?

If a train 225 m long passesa telegraphic pole in 9 seconds then the time taken (in seconds) by it to cross a tunnel 450 m long is:

If a function f satisfies the conditions f(x+y)=f(x)+f(y)AA, x,y in R, then f is :

4(x-1/x)^2+8(x+1/x)=29 is

Which of the following states has twice the percentage of villages electrified in comparision to State IP.

If cottheta=3/4, then the value of sqrt((1+costheta)/(1-costheta)) is:

If x+ (1)/(x)=3, then x^(5) + (1)/(x^(5))= ?

AB and CD are two parallel chords of a circle of lengths 10 cm and 4 cm respectively. If the chords are on the same side of the centre and the distance between them is 3cm, then the diameter of the circle is.

Three pipes P,Q and R can fill a tank in 12, 15 and 20 minutes respectively. If pipe P is opened all the time and pipe Q and R are opened for one hour alternatively. The tank will be full in

A sells a cycle to B at a profit of 20% and B sells it to C at a loss of 25%. If C bought the cycle for Rs P, then the cost price of it for A was

Keshav can row 60 km downstream and 36 km upstream ,taking 10 h each time .What is the velocity of the current?

In which of the following case the F-Br-F angle is less than 90^(@)?

If the semiperimeter of a right angle triangle isa 126 cm and length of smallest median is 56 cm. Find the areaof triangle .

A sum of400 amountsto441 in 2 yr. What will be its amount, if the rate of interest is increased by 5% ?

From a rope of length 38 3/5 m , a piece of length 5 3/38 m is cut off. The length of the remaining rope is :

If 35% of a number is 175, then 175 is what percent of that number?

The square root of 56169 is :

If f(x)=ax^2+bx+c and g(x)=-ax^2+bx+c, where acne0, the new equation f(x).g(x)=0 has n real roots. Find the minimum value of n.

Two persons Alif and Laila start at the same time from Allahabad and Lucknow and proceeds towards each other at 45km/h and 54 km/h respectively when they meet it is found that one of them has travelled 72 km more than the other.The distance between the place (in km) is:

If 3 ^( x + y) = 81 and 81 ^( x - y) = 3, then the value of x/y is:

Find the values that satisfy the polynimial inequation x^4+4x^3-12x^2ge0.

A bagcontains8 redand 4greenballs. Findthe probabiltythat Twoballsare redand oneball is greenwhenthreeballsare drawnat random .

If x+y=12 and xy=32 then the value of (x^2+y^2) is:

What is the number of men working in the Marketing department ?

The sum of the following series: 1.1^2 (1 - 0/1) + 2.2^(2) (1 - 1/2)+ 3.3^2 (1 - 2/3) + 4.4^2 (1 - 3/4) +….. upto n terms is :

Two cards are drawn one by one wihtout replacement. Find the probability that both are hearts.

At the foot of a mountain the elevation of its summit is 45^@, after ascending 1000m towards the mountain up a slope of 30^@ inclination, the elevation is found to be 60^@ Find the height of the mountain.

A naughty student breaks the pencil in such a way that the ratio of two broken parts is same as that of the original length of the pencil to one of the larger part of the pencil. The ratio of the other part to the original length of pencil is

(3^(162))/(162)find R.

If Sohail walks from his home to office at 16 km/h, he is late by 5 min. If he walks at 20 km/h, he reaches 10 min before the office time. Find the distance of his office from his house

A, B and C working together can finish certain piece of work in 28 days. They work together for 18 days, then B left. If rest work done by A and C in 25 days. Work done by A in 2 days is equal to work done by C in 3 days, then find in how many days A, B and C working alone will finish the work?

(sinalpha+secalpha)^(2)+(cosalpha+cosecalpha)^(2)=(K+secalphacosecalpha)^(2), then K = ?

Solve the followings : The value of the expression ((0.3)^(1//3).(1/27)^(1//4) . (9)^(1//6).(0.81)^(2//3))/((0.9)^(2//3) . (3)^(-1//2) . (1/3)^(-2). (243)^(-1//4)) is:

Minimum how many similar tiles of square shape are required to furnish the floor of a room with the length of 462 cm and breadth of 360 cm?

When the price of pressure cooker was increased by 15%, its sale down by 15% . The effect on the money receipt was:

12 men alone can complete a piece of work in 6 days. Whereas 10 men and 21 women together take 3 days to complete the same piece of work. In how many days can 12 women alone complete the piece of work?

In thegiven figure, if (DE)/(BC)=(2)/(3) and if AE = 10 cm. Find AB :