8677 + Interview Questions in Maths in Class 14 Page 108 InterviewSolution

5351.	If f(x)=1-f(1-x), then the value of f((1)/(999))+f((2)/(999))+...+f((998)/(999)) is :
Answer» a. 998 b. 1 C. 499 d. NONE of these Answer :C

Discussion

5352.	If Akshay is a much elder than Vinay as he is younger to Kartik and sum of ages of Vinay and Kartik is 48 yr, then find the age of Akshay.
Answer» ANSWER :24 YR

Discussion

5353.	What is the least possible number which must be added to 4722 so that it becomes divisible by21, 25, 27 and 35 ?
Answer» Solution :The NUMBER which number is divisible by 21, 25 , 27 and 35 is the LCM of 21, 25, 27 and 35 = 4725. So the required number = 4725 - 4722 = 3.

Discussion

5354.	The perimeter of a rectangle is 72 cm. If the sides are positive integers, maximum how many distinct areas can it have?
Answer» 12 8 9 6 Answer :D

Discussion

5355.	(4!)/(5)find R.
Answer» ANSWER :`=4`

Discussion

5356.	Ashok and Sarvesh start walking towards each other at 8 : 20 hrs in moring from A and B respectively. Ratio of their speed is 4 : 5. They meet at point C at a certain time and hav snacks together. At 9 : 27 am they again start walking towards their destination. If Ashok reach at B on 10 : 32 am, how much time they spent together ?
Answer» 8 min 12 min 15 min can't be determined Answer :C

Discussion

5357.	The square root of 6280036 is :
Answer» 1308 2903 2506 2609 Answer :C

Discussion

5358.	Find the number of natural numbers which are smaller than 2.10^8 and are divisible by 3 which can be written by means of the digits 0,1 and 2.
Answer» 7272 4373 3437 none of these Answer :B

Discussion

5359.	If sin^(2)alpha=cos^(2)alpha , then the value of (cot^(6)alpha-cot^(2)alpha) is
Answer» 1 0 -1 2 Answer :A

Discussion

5360.	The value of (log_(3)54)/(log_(486)3) - (log_(3)1458)/(log_(18)3) is:
Answer» 0 1 2 3 Answer :D

Discussion

5361.	When A, B and C are deployed for a task, A and B together do 70% ofwork and B and C together do 50% of the work. Who is most efficient?
Answer» A B C can’t be determined Answer :A

Discussion

5362.	Some-time after the new workers were introduced, all of the newly introduced workers left the work due to heavy rain and the efficiency of the remaining workers reduced by 20% due to which the work finally got completed by delay of 60% of the scheduled time then how much work still remained incomplete by the end of the scheduled time?
Answer» `17 3/5%` `21%` `27 5/7%` `28%` ANSWER :C

Discussion

5363.	Answer the following questions based on the information given below. A circle with centre O and radius 2 cm inscribes a triangle ABC. Two tangents AD and BD are drawn from a point D outside the circle anf angleABD=60^@. Find the area of squareOADB, in cm^2.
Answer» `4sqrt(3)` `3sqrt(3)` 4 none of these Answer :A

Discussion

5364.	ABCD and EFGA are the squares of side 4 cm , each . In square ABCD, DMB and PMQ are the arcs of circles with centres at A and C respectively . In square AEFG , the shaded region is enclosed by two arcs of circles with centresat A and F , respectively . What is the ratio of the shaded regions ofthe squares ABCD and AEFG respectively .
Answer» `(2 + pi (SQRT(2) -2))/((pi-2))` `((pi-2))/(2(sqrt(2) + 1 - pi))` `4/3 ` NONE of these ANSWER :A

Discussion

5365.	If a^(2) +b^(2) +c^(2) = ab + bc + ca then ((a+b)/(c ) + (b+c)/(a) + (c+a)/(b)) ((c )/(a+b) + (b)/(a+c) + (c )/(a+b))=?
Answer» ANSWER :9

Discussion

5366.	A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's husband age is ?
Answer» A. 45 B. 54 C. 56 D. 66 Answer :RS. 3000

Discussion

5367.	A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number is :
Answer» 175 75 680 does not EXIST ANSWER :B

Discussion

5368.	The set S_1 = {1}, S_2 = {3,5}, S_3 = {7,9,11} , etc. forms a sequence. The 11th element of the set S_(21) is :
Answer» 5202 5151 5152 5102 Answer :A

Discussion

5369.	Two trains are moving in opposite directions withs peed s of 4m/s and 8m/s,respectively.Find their relative speed.
Answer» ANSWER :`=12 m//s`

Discussion

5370.	The volume of a spherical shell whose external and internal diameters are 14 cm and 10 cm respectively :
Answer» `42pi cm^3` `(872)/3 PI cm^3` `118pi cm^3` `86pi cm^3` ANSWER :B

Discussion

5371.	If tanA=sqrt(2)-1, then sin2A = ?
Answer» `(1)/(SQRT(2))` `sqrt(2)` 2 `2sqrt(2)` ANSWER :A

Discussion

5372.	Ramesh deposited 15600 in a fixed deposit at the rate of 10% per annu simple interest, After every second year, he adds his interest earning to the principal. The interest at the end of fourth year is (रमेश ने 15600 साधारण बियाज की 10 % वार्षिक दर वाले एक सावधि खाते में जमा कराये बियाज से हुई आय को वह प्रति दूसरेवर्ष मूलधन में मिला देता है उसका चौथे वर्ष के अंत में मिलने वला बियाज क्या होगा )
Answer» ANSWER :RS 7239.96%

Discussion

5373.	I asked the shopkeeper the price of a wrist watch. I found that I had just the required sum of money. When the shopkeeper allowed me a discount of 25%, I could bought another watch worth ₹ 940 for my younger sister. What is the price which I have paid for my own watch.?
Answer» ₹ 2700 ₹ 1800 ₹ 2820 ₹ 3760 Answer :C

Discussion

5374.	ABCD is a parallelogram. The diagonals AC and BD intersect at a point O. If E, F, G and H are the mid-points of AO, DO, CO and BO respectively, then the ratio of (EF + FG + GH + HE) to (AD + DC + CB+ BA) is:
Answer» `1:1` `1:2` `1:3` `1:4` ANSWER :B

Discussion

5375.	A toy is in the form of a cone mounted on a hemisphere. The radius of the hemisphere and that of the cone is 3 cm and height of the cone is 4 cm. The total surface area of the toy is
Answer» 75.43 SQ CM 103.71 Sq cm 85.35 Sq cm 120.71 Sq cm Answer :B

Discussion

5376.	A, B and C have amounts in the ratio of 3: 4: 5. First B gives 1/4th to A and 1/4th to C then C gives 1/6th to A. Find the final ratio of amount of A, B and C, respectively :
Answer» 0.16880787037037 0.21114583333333 0.25280092592593 0.20978009259259 Answer :D

Discussion

5377.	Two trains of equal lengths take 5 s and 6 s respectively to crossapole. If these trains are moving in the same direction, then how long will they take to cross each other?
Answer» ANSWER :`=60 s`

Discussion

5378.	If the altitude of an equilateral triangle is2 sqrt(3) , then its area is :
Answer» `SQRT3 cm^2` `12sqrt3 cm^2` `8/sqrt3 cm^2` NONE of these Answer :A

Discussion

5379.	The side of a regular decagon is 2 cm Find the circumradius of the decagon.
Answer» `1+sqrt5 CM` `-1+sqrt5 cm` `2+sqrt3 cm` NONE of these Answer :A

Discussion

5380.	A and B can complete the work individually in 24 days and 30 days respectively, working 10 hours a day. Work is to be done in two shift. Morning shift lasts for 6 hours and evening shift lasts for 4 hours. On the first day A works in the morning shift while B works in the evening shift. Next day A works in the evening shift while B works in the morning shift and so on. It means they work alternatively with respect to their shifts. Thus they work on this pattern till the work is completed. On which day the work got completed?
Answer» 26th 17th 28th 30th Answer :B

Discussion

5381.	Find the number of co-prime numbers of 49, which are composite numbers.
Answer» SOLUTION :`49 = 7^2` SUM of all the co-prime NUMBERS of 49 is GIVEN by `49/2[varphi(49)]49/2[49(1-1/7)] = 1029`

Discussion

5382.	99.999 + 0.99 + 0.00991234 = ?
Answer» a. 100 B. 10000 c. 1000 d. 100000 Answer :B

Discussion

5383.	If the polynomial f(x) is such that f(-3)=0, then a factor of f(x) is :
Answer» -3 3 (1/3) x+3 Answer :D

Discussion

5384.	A rope makes 260 rounds of a cylinder with base radius 20 cm. How many times can it go round cylinder with base radius 26 cm?
Answer» 130 300 200 150 Answer :C

Discussion

5385.	The total number of ways of selecting 6 coins out of 10 one rupee coins, 6 fifty paise coins and 8 twenty paise coins is :
Answer» 28 14 13 19 Answer :A

Discussion

5386.	Five bells begin to toll together and toll respectively at intervals of 6, 7, 8, 9 and 12 seconds. After how many seconds will they toll together again?
Answer» 72 SEC 612 sec 504 sec 318 sec ANSWER :C

Discussion

5387.	A father gives 1%of his monthly incometo his 2 sons. He gives 80%of that amount to his elder son. From which he spends 80%of the amount that he acquires and his monthly saving remains Rs 20. Find the income of father
Answer» ANSWER :RS. 12500

Discussion

5388.	Express 1/(1-x)+1/(1+x)+2/(1+x^2)+4/(1+x^4) as a rational expression:
Answer» 1 `(1-x^4)/(1+x^4)` `8/(1-x^8)` NONE of these Answer :C

Discussion

5389.	Fourdifferent electronic devices make a beep after every 30 minutes, 1 hour, 1 1/2hour and 1 hour 45 minutes respectively. All the devices beeped together at12 noon. They will again beep together at(a) 12 midnight(b) 3 a.m. (c) 6 a.m. (d) 9a.m.
Answer» 12 MID night 3 a.m. 6 a.m. 9 p.m. Answer :D

Discussion

5390.	Four bells ring 12,18,26,30 times in a sec . After how many minutes they will ring togather
Answer» ANSWER :`=121`

Discussion

5391.	ABCD is a trapezium . AB \|\|CD and AB : CD = 5 : 4, E and F are mid pointsof AD and BC, if CD= 20 cm , Find EF
Answer» ANSWER :`19 : 17`

Discussion

5392.	A large solid metallic cylinder whose radius and height are equal to each other is to be melted and 48 identical solid balls are to be recast from the liquid metal so formed. What is the ratio of the radius of a ball to the radius of the cylinder?
Answer» `1:16` `1:12` `1:8` `1:4 ` ANSWER :D

Discussion

5393.	What percent of selling price would be 34% of cost price if gross profit is 26% of the selling price?
Answer» ANSWER :0.2516

Discussion

5394.	At what time after 3:10 am, the acute angle made by the minute and hour-hand is double to that of at 3:10 am, for the first time?
Answer» 4 h 43 min 3 h 48 min 3h 320/11 min none of the these Answer :C

Discussion

5395.	Three candidates A,B and C contested an election. Out of the total votes list 25% did not vote and 6.66% votes polled were invalid. C got 2450 valid votes, which were 40% more than that of B.If A Got only 40% of the total votes, then who is the winner?
Answer» A B C Can't be determined Answer :A

Discussion

5396.	The sum of the expression 551 + 552 + 553 + … + 560 is :
Answer» 3450 5555 555 6060 Answer :B

Discussion

5397.	A pipe can fill a tank in 6 hours and another pipe can empty the tank in 12 hours. If both the pipes are opened at the same time,the tank can be filled in
Answer» 10hr 12hr 14hr 16hr Answer :B

Discussion

5398.	If the number 467X4 is divisible by 9, find the value of the digit marked as X.
Answer» 5 4 7 6 Answer :C

Discussion

5399.	What should be added to 1459 so that it is exactly divisible by 12?
Answer» 6 5 3 4 Answer :B

Discussion

5400.	7X2 is a three digit number and X is the missing digit. If the number is divisible by 6, the missing digit is
Answer» 5 3 2 4 Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

If f(x)=1-f(1-x), then the value of f((1)/(999))+f((2)/(999))+...+f((998)/(999)) is :

If Akshay is a much elder than Vinay as he is younger to Kartik and sum of ages of Vinay and Kartik is 48 yr, then find the age of Akshay.

What is the least possible number which must be added to 4722 so that it becomes divisible by21, 25, 27 and 35 ?

The perimeter of a rectangle is 72 cm. If the sides are positive integers, maximum how many distinct areas can it have?

(4!)/(5)find R.

The square root of 6280036 is :

Find the number of natural numbers which are smaller than 2.10^8 and are divisible by 3 which can be written by means of the digits 0,1 and 2.

If sin^(2)alpha=cos^(2)alpha , then the value of (cot^(6)alpha-cot^(2)alpha) is

The value of (log_(3)54)/(log_(486)3) - (log_(3)1458)/(log_(18)3) is:

When A, B and C are deployed for a task, A and B together do 70% ofwork and B and C together do 50% of the work. Who is most efficient?

Answer the following questions based on the information given below. A circle with centre O and radius 2 cm inscribes a triangle ABC. Two tangents AD and BD are drawn from a point D outside the circle anf angleABD=60^@. Find the area of squareOADB, in cm^2.

If a^(2) +b^(2) +c^(2) = ab + bc + ca then ((a+b)/(c ) + (b+c)/(a) + (c+a)/(b)) ((c )/(a+b) + (b)/(a+c) + (c )/(a+b))=?

A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's husband age is ?

A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number is :

The set S_1 = {1}, S_2 = {3,5}, S_3 = {7,9,11} , etc. forms a sequence. The 11th element of the set S_(21) is :

Two trains are moving in opposite directions withs peed s of 4m/s and 8m/s,respectively.Find their relative speed.

The volume of a spherical shell whose external and internal diameters are 14 cm and 10 cm respectively :

If tanA=sqrt(2)-1, then sin2A = ?

I asked the shopkeeper the price of a wrist watch. I found that I had just the required sum of money. When the shopkeeper allowed me a discount of 25%, I could bought another watch worth ₹ 940 for my younger sister. What is the price which I have paid for my own watch.?

ABCD is a parallelogram. The diagonals AC and BD intersect at a point O. If E, F, G and H are the mid-points of AO, DO, CO and BO respectively, then the ratio of (EF + FG + GH + HE) to (AD + DC + CB+ BA) is:

A toy is in the form of a cone mounted on a hemisphere. The radius of the hemisphere and that of the cone is 3 cm and height of the cone is 4 cm. The total surface area of the toy is

A, B and C have amounts in the ratio of 3: 4: 5. First B gives 1/4th to A and 1/4th to C then C gives 1/6th to A. Find the final ratio of amount of A, B and C, respectively :

Two trains of equal lengths take 5 s and 6 s respectively to crossapole. If these trains are moving in the same direction, then how long will they take to cross each other?

If the altitude of an equilateral triangle is2 sqrt(3) , then its area is :

The side of a regular decagon is 2 cm Find the circumradius of the decagon.

Find the number of co-prime numbers of 49, which are composite numbers.

99.999 + 0.99 + 0.00991234 = ?

If the polynomial f(x) is such that f(-3)=0, then a factor of f(x) is :

A rope makes 260 rounds of a cylinder with base radius 20 cm. How many times can it go round cylinder with base radius 26 cm?

The total number of ways of selecting 6 coins out of 10 one rupee coins, 6 fifty paise coins and 8 twenty paise coins is :

Five bells begin to toll together and toll respectively at intervals of 6, 7, 8, 9 and 12 seconds. After how many seconds will they toll together again?

A father gives 1%of his monthly incometo his 2 sons. He gives 80%of that amount to his elder son. From which he spends 80%of the amount that he acquires and his monthly saving remains Rs 20. Find the income of father

Express 1/(1-x)+1/(1+x)+2/(1+x^2)+4/(1+x^4) as a rational expression:

Fourdifferent electronic devices make a beep after every 30 minutes, 1 hour, 1 1/2hour and 1 hour 45 minutes respectively. All the devices beeped together at12 noon. They will again beep together at(a) 12 midnight(b) 3 a.m. (c) 6 a.m. (d) 9a.m.

Four bells ring 12,18,26,30 times in a sec . After how many minutes they will ring togather

ABCD is a trapezium . AB ||CD and AB : CD = 5 : 4, E and F are mid pointsof AD and BC, if CD= 20 cm , Find EF

A large solid metallic cylinder whose radius and height are equal to each other is to be melted and 48 identical solid balls are to be recast from the liquid metal so formed. What is the ratio of the radius of a ball to the radius of the cylinder?

What percent of selling price would be 34% of cost price if gross profit is 26% of the selling price?

At what time after 3:10 am, the acute angle made by the minute and hour-hand is double to that of at 3:10 am, for the first time?

Three candidates A,B and C contested an election. Out of the total votes list 25% did not vote and 6.66% votes polled were invalid. C got 2450 valid votes, which were 40% more than that of B.If A Got only 40% of the total votes, then who is the winner?

The sum of the expression 551 + 552 + 553 + … + 560 is :

A pipe can fill a tank in 6 hours and another pipe can empty the tank in 12 hours. If both the pipes are opened at the same time,the tank can be filled in

If the number 467X4 is divisible by 9, find the value of the digit marked as X.

What should be added to 1459 so that it is exactly divisible by 12?

7X2 is a three digit number and X is the missing digit. If the number is divisible by 6, the missing digit is