8677 + Interview Questions in Maths in Class 14 Page 109 InterviewSolution

5401.	Following questions are based on the given information for the following functions f (x) f(x) =2bx +f(-x)," if " x lt 0 f(x)=a, " if "x =0 f(x)=b+c-2cx +f(x-1)," if "x gt 0 f(-19) equals:
Answer» a - 19b + 361c a + 19(B - 19c) a - 19(b + 19c) none of these Answer :C

Discussion

5402.	Following questions are based on the given information for the following functions f(x) f(x)=2bx+f(-x), if x lt0 f(x)=a if x =0 f(x)=b+c-2cx+f(x-1), if x gt0 f(8) equals :
Answer» a + 8B -32c a + 8(b - 8c) 8(a + b - C) NONE of these Answer :B

Discussion

5403.	Following questions are based on the given information for the following functions f(x) f(x)=2bx+f(-x), if x lt0 f(x)=a if x =0 f(x)=b+c-2cx+f(x-1), if x gt0 If a=10, b=-7, c=6, then f(-10) equals:
Answer» -660 -520 -250 none of these Answer :B

Discussion

5404.	What is the difference in the place value of 5 in the numeral 754853?
Answer» 49940 45000 49950 49500 Answer :A

Discussion

5405.	How many 6 digit numbers can be formed using the digit 2 two times and the digit 4 four times?
Answer» 16 15 18 24 Answer :B

Discussion

5406.	How many different eight digit numbers can be formed using only four digits 1,2,3,4 such that the digit 2 occurs twice?
Answer» 20412 12042 25065 none of these Answer :A

Discussion

5407.	N = 55^3 + 17^3 - 72^3, then N is divisible by :
Answer» 3 & 17 40 & 11 11 & 15 all of these Answer :D

Discussion

5408.	The sum of all four digit numbers which are divisible by 7 is:
Answer» A)7071071 B)`7^7` C)7107073 D)10019996 Answer :A

Discussion

5409.	A certain sum of money amounts to Rs. 2420 in 2 years and Rs. 2662 in 3 years at some rate of compound interest, compounded annually. The rate of interest per annum is:
Answer» ANSWER :`10%`

Discussion

5410.	What is the capacity of the cylindrical tank?
Answer» I and II II and III I and III Any TWO to the tree Answer :A::B::C

Discussion

5411.	When two positive integers A and B are divided by another number D, then the remainders obtained were 23 and 3 respectively. Further when (A + B) is divided by D, the remainder is 26, then value of D is :
Answer» 62 69 26 Any VALUE GREATER than 26 Answer :D

Discussion

5412.	Mr. Arvind Vidyarthi spends 30% of his money on education and he has total Rs, 15,000. How many rupees he spends on education ?
Answer» A) 1500 B) 4500 C) 2000 D) 4000 Solution :`15000xx0.3 =4500` `(:. 30%=30/100 =0.3)` Therefore , the REQUIRED answer is ₹ 4500.

Discussion

5413.	What was the difference between the average exports of the three companies in year 1993 and the aver- age exports in year 1998?
Answer» 15.33 CRORE 18.67 crore 20 crore 22.17 crore Answer :C

Discussion

5414.	Convert (8976)_10 into base 9.
Answer» SOLUTION :

Discussion

5415.	34.02% "of " 550.09div?=594.05divsqrt(2916.03)
Answer» 14 21 8 17 Solution :`34.02% "of " 550.09div?=594.05divsqrt(2916.03)` `(34xx550)/(100)DIV?~~594divsqrt(2916)` `(187)/(?)~~(594)/(54)` `?=17`

Discussion

5416.	A contractor undertook to complete the work in 40 days and he deployed 20 men for his work. 8 days before the scheduled time he realised that 1/2th of the work was still to be done. How many more men were required.to complete the work in stipulated time?
Answer» 60 80 20 25 Answer :C

Discussion

5417.	What is percentage profit in selling an article at a discount of 20% which was earlier being sold at a 40% profit?
Answer» `20%` `14%` `28%` `12%` ANSWER :D

Discussion

5418.	There are 90 litre casrol and 150 litres CRB mobil oils. The price of castrol is Rs. 80 per litre and price of CRB is Rs. 75 per litre. Equal amount of castrol and CRB is taken out and then CRB is poured out in the vessel of castrol and castrol is poured out in the vessel of CRB. Now the rate of both the mixtures is same. What is the amount of mobil oil taken out from each of the vessel?
Answer» a. 45 litres B. 56.25 litres c. 24.5 litres d. 36 litres Answer :B

Discussion

5419.	The number of times the digit 8 will be written when listing the integers from 1 to 1000 is :
Answer» 100 200 300 400 Answer :C

Discussion

5420.	Find the value of p if (14p-4): (8p-1) = (3p+8): (9p+5) -
Answer» 1 0.5 0.75 none of these Answer :B

Discussion

5421.	Given that theta is acute and then sin theta=(3)/(5). Let x, y be positive real number such that 3(x-y)=1, then one set of solutions for x and y expressed in terms of theta is given by :
Answer» A)`x = sec theta, y =" COSEC "theta` B)`x=cot theta, y= TAN theta` C)`x="cosec "theta, y=cot theta` D)`x= sec theta, y=tan theta` Answer :C

Discussion

5422.	When 40% of a number is added to 42, the result is the number itself. The number is :
Answer» 105 72 70 82 Answer :C

Discussion

5423.	IF HCF and LCMof two numbers are 5 and 485. If sum of both numbers is 100find difference bwtween then.
Answer» ANSWER :`=10`

Discussion

5424.	A officer goes to office from his home, which is 8 km apart. His speed is 4 km/h. After 5 min he realised that he left some important documents at home. He returns to home and now he travels some fast speed towards the office, and reaches office on time. Find his increase speed?
Answer» ANSWER :`4(8)/(23) Km//h`

Discussion

5425.	If tan^(2)theta+cot^(2)theta=14, then sectheta.cosectheta=?
Answer» 7 4 `SQRT(7)` 3 Answer :D

Discussion

5426.	1^k + 2^k + 3^k + … + n^k is divisble by 1 + 2 +3 + … n for every n in N, then K is :
Answer» even ODD only PRIME NONE of these Answer :B

Discussion

5427.	cos^(2)48^(@)-sin^(2)12^(@)=?
Answer» `(sqrt(5)-1)/(4)` `(sqrt(5)+1)/(8)` `(sqrt(3)-1)/(4)` `(sqrt(3)+1)/(2sqrt(2))` ANSWER :A

Discussion

5428.	If rate of interest and time on a certain bill are numerically equal and true discount is 81 times of banker's gain, find the rate of interest.
Answer» `2(9)/(13)%` `1(2)/(9)%` `1(7)/(9)%` `1(1)/(9)%` ANSWER :D

Discussion

5429.	The value of log_(e) (-1) is:
Answer» `IPI` 0 `i^-1` does not exist Answer :A

Discussion

5430.	PC = 9, PB = 12 , PA = 18, PF = 8 DE = ?
Answer» A) 5 hours B) 3 hours C) 6 hours D) 8 hours Answer :2 . 5 cm

Discussion

5431.	Which of the following is true, in the given figure, where AD is the altitude to the hypotenuse of a right angled triangle ABC? triangle CAD and triangle ABD are similar triangle CDA and triangle ADB are congruent triangle ADB and triangle CAB are similar Select the correct answer using the codes given below :
Answer» A)1 and 2 B)2 and 3 C)1 and 3 D)1, 2 and 3 Answer :C

Discussion

5432.	The ratio of Boys and Girls is 5 : 3. Some students took admission in the ratio 5 : 7. Now total studentsare 1200 and ratio becomes 7 : 5. Find the number of students before admission.
Answer» ANSWER :960

Discussion

5433.	Speed of father and his son is 12 km/h and 18 km/h. They start from A towards B. If son leaves after 1 hour and reaches 1 hour earlier than his father. Find the distance between A and B
Answer» ANSWER :60 KM

Discussion

5434.	A fruit vendor buys 30 oranges for 187.50. At what price did he sell each orange to get a profit of 12% ?
Answer» 6.72 6.52 6.62 6.82 Answer :B

Discussion

5435.	there are 5differentboxesand 7 differentballs. All the7 balls areto bedistributed in the5 boxesplacedin arowso thatanyboxcanreceiveanynumberof balls . In the previous question (no. 70) in how many ways can all these balls be distributed into these boxes so that no box remains empty and no two consecutive boxes have the same number of balls?
Answer» 1 4 12 none of these Answer :A

Discussion

5436.	A shopkeeper sold 12 cameras at the profit of 20% and 8 cameras profit of 10%. If he had sold all 20 cameras at 15% profit then his profit would have been decreased by Rs. 36. What is the cost price of each camera?
Answer» 100 150 180 220 Answer :C

Discussion

5437.	Find the square root of 4900.
Answer»

Discussion

5438.	there are 5differentboxesand 7 differentballs. All the7 balls areto bedistributed in the5 boxesplacedin arowso thatanyboxcanreceiveanynumberof balls . In how many ways can these balls be distributed into these boxes?
Answer» 7! 16800 1775 none of these Answer :B

Discussion

5439.	There are five different boxes and seven different balls. The number of ways in which these balls can be distributed so that box 2 and box 4 contain only 1 ball each and at least 1 box is empty is N. (Order of putting the balls in the boxes is NOT considered). Then the digit in the hundredth's place of N is ............
Answer» a. 1100 b. 2200 C. 3906 d. 4400 Answer :C

Discussion

5440.	Find the square root of 2500.
Answer»

Discussion

5441.	Water flows at the rate of 5 m per min from a cylindrical pipe 16 mm in diameter. How long will it take to fill up a conical vessel whose radius is 12 cm and depth is 35 cm?
Answer» 315 s 365 s 5 min none of these Answer :A

Discussion

5442.	A person bought some articles at rate of 11 for Rs 10 and sold them at the rate of 10 for Rs 11 Find the profit/loss percent?
Answer» ANSWER :21% PROFIT

Discussion

5443.	Let n > 1, be a positive integer. Then the largest integer m, such that (n^m + 1) divides (1 + n + n^2 + n^3 + …..+ n^(127)) is:
Answer» a. 127 b. 63 C. 64 d. 32 Answer :C

Discussion

5444.	Two trains coming from the opposite side crosses each other in 10 sec if the length of first train and second train be 125 m and 175 m respectively also the speed of first train be 36 km/h find the speed of second train.
Answer» ANSWER :72 km/h

Discussion

5445.	Find the sum to n terms of the series 1 + (1 + 2) + (1 + 2 + 3) + ......
Answer» `(n(n+1)(2n+1))/6` `(n(n+1)(n+2))/6` `(n(n+1)(n+2))/12` `(n(n+1))/2` Answer :B

Discussion

5446.	Which of the following expression gives negative value ?
Answer» `((m(X, y, z)-F(x, y, z)))/(H(x, y, z)xxk(x, y, z)xxl(x, y, z))` `((m(x, y, z)-l(x, y, z)+J(x, y, z)))/(k(x, y, z))` `(l(x, y, z)-m(x, y, z))/(g(x, y, z)-j(x, y, z))` `(h(x, y, z)-g(x, y, z))/(k(x, y, z))` ANSWER :A

Discussion

5447.	If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha), then sinalpha+cosalphaandsinalpha-cosalpha are equal to
Answer» `SQRT(2)costheta,sqrt(2)SINTHETA` `sqrt(2)sintheta,sqrt(2)costheta` `sqrt(2)sintheta,sqrt(2)sintheta` `sqrt(2)costheta,sqrt(2)costheta` ANSWER :A::B::C

Discussion

5448.	A, B and C can do a work in 10, 12 and 15 days respectively. All three start the work together but A left 5 days before the completion of the work and after 2 days B left, how much time shall be taken to do whole work?
Answer» ANSWER :7 DAYS

Discussion

5449.	In how many ways, can the letters of the word 'DIRECTOR' be arranged, so that the three vowels are never together?
Answer» 27714 27720 `12!/3!4!5!` 37216 Answer :A

Discussion

5450.	If rs. 2800 is 2/7th of the value of a house, the worth of the house in rs. is?
Answer» a. 8 lakh B. 9.8 lakh c. 10 lakh d. none of these Answer :B

Discussion

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Following questions are based on the given information for the following functions f (x) f(x) =2bx +f(-x)," if " x lt 0 f(x)=a, " if "x =0 f(x)=b+c-2cx +f(x-1)," if "x gt 0 f(-19) equals:

Following questions are based on the given information for the following functions f(x) f(x)=2bx+f(-x), if x lt0 f(x)=a if x =0 f(x)=b+c-2cx+f(x-1), if x gt0 f(8) equals :

Following questions are based on the given information for the following functions f(x) f(x)=2bx+f(-x), if x lt0 f(x)=a if x =0 f(x)=b+c-2cx+f(x-1), if x gt0 If a=10, b=-7, c=6, then f(-10) equals:

What is the difference in the place value of 5 in the numeral 754853?

How many 6 digit numbers can be formed using the digit 2 two times and the digit 4 four times?

How many different eight digit numbers can be formed using only four digits 1,2,3,4 such that the digit 2 occurs twice?

N = 55^3 + 17^3 - 72^3, then N is divisible by :

The sum of all four digit numbers which are divisible by 7 is:

A certain sum of money amounts to Rs. 2420 in 2 years and Rs. 2662 in 3 years at some rate of compound interest, compounded annually. The rate of interest per annum is:

What is the capacity of the cylindrical tank?

When two positive integers A and B are divided by another number D, then the remainders obtained were 23 and 3 respectively. Further when (A + B) is divided by D, the remainder is 26, then value of D is :

Mr. Arvind Vidyarthi spends 30% of his money on education and he has total Rs, 15,000. How many rupees he spends on education ?

What was the difference between the average exports of the three companies in year 1993 and the aver- age exports in year 1998?

Convert (8976)_10 into base 9.

34.02% "of " 550.09div?=594.05divsqrt(2916.03)

A contractor undertook to complete the work in 40 days and he deployed 20 men for his work. 8 days before the scheduled time he realised that 1/2th of the work was still to be done. How many more men were required.to complete the work in stipulated time?

What is percentage profit in selling an article at a discount of 20% which was earlier being sold at a 40% profit?

The number of times the digit 8 will be written when listing the integers from 1 to 1000 is :

Find the value of p if (14p-4): (8p-1) = (3p+8): (9p+5) -

Given that theta is acute and then sin theta=(3)/(5). Let x, y be positive real number such that 3(x-y)=1, then one set of solutions for x and y expressed in terms of theta is given by :

When 40% of a number is added to 42, the result is the number itself. The number is :

IF HCF and LCMof two numbers are 5 and 485. If sum of both numbers is 100find difference bwtween then.

A officer goes to office from his home, which is 8 km apart. His speed is 4 km/h. After 5 min he realised that he left some important documents at home. He returns to home and now he travels some fast speed towards the office, and reaches office on time. Find his increase speed?

If tan^(2)theta+cot^(2)theta=14, then sectheta.cosectheta=?

1^k + 2^k + 3^k + … + n^k is divisble by 1 + 2 +3 + … n for every n in N, then K is :

cos^(2)48^(@)-sin^(2)12^(@)=?

If rate of interest and time on a certain bill are numerically equal and true discount is 81 times of banker's gain, find the rate of interest.

The value of log_(e) (-1) is:

PC = 9, PB = 12 , PA = 18, PF = 8 DE = ?

The ratio of Boys and Girls is 5 : 3. Some students took admission in the ratio 5 : 7. Now total studentsare 1200 and ratio becomes 7 : 5. Find the number of students before admission.

Speed of father and his son is 12 km/h and 18 km/h. They start from A towards B. If son leaves after 1 hour and reaches 1 hour earlier than his father. Find the distance between A and B

A fruit vendor buys 30 oranges for 187.50. At what price did he sell each orange to get a profit of 12% ?

A shopkeeper sold 12 cameras at the profit of 20% and 8 cameras profit of 10%. If he had sold all 20 cameras at 15% profit then his profit would have been decreased by Rs. 36. What is the cost price of each camera?

Find the square root of 4900.

there are 5differentboxesand 7 differentballs. All the7 balls areto bedistributed in the5 boxesplacedin arowso thatanyboxcanreceiveanynumberof balls . In how many ways can these balls be distributed into these boxes?

Find the square root of 2500.

Water flows at the rate of 5 m per min from a cylindrical pipe 16 mm in diameter. How long will it take to fill up a conical vessel whose radius is 12 cm and depth is 35 cm?

A person bought some articles at rate of 11 for Rs 10 and sold them at the rate of 10 for Rs 11 Find the profit/loss percent?

Let n > 1, be a positive integer. Then the largest integer m, such that (n^m + 1) divides (1 + n + n^2 + n^3 + …..+ n^(127)) is:

Two trains coming from the opposite side crosses each other in 10 sec if the length of first train and second train be 125 m and 175 m respectively also the speed of first train be 36 km/h find the speed of second train.

Find the sum to n terms of the series 1 + (1 + 2) + (1 + 2 + 3) + ......

Which of the following expression gives negative value ?

If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha), then sinalpha+cosalphaandsinalpha-cosalpha are equal to

A, B and C can do a work in 10, 12 and 15 days respectively. All three start the work together but A left 5 days before the completion of the work and after 2 days B left, how much time shall be taken to do whole work?

In how many ways, can the letters of the word 'DIRECTOR' be arranged, so that the three vowels are never together?

If rs. 2800 is 2/7th of the value of a house, the worth of the house in rs. is?