8677 + Interview Questions in Maths in Class 14 Page 66 InterviewSolution

3251.	Ifq=9999, find the value ofq(q+2) is:
Answer» 99999999 999999 1000001 9999 Answer :D

Discussion

3252.	Find the remainder when (3)^(162) is divided by 162.
Answer» 1 81 150 100 Answer :B

Discussion

3253.	IF""^(13)C_x= ""^(13)C_y ,what is the valueof x+y?
Answer» 6 7 13 26 Answer :C

Discussion

3254.	A can do a piece of work in 30 days and B can do same work in 60 days. In how many days will A & B do this work together ?
Answer» ANSWER :20 DAYS

Discussion

3255.	Population of a village is 8000. If there is an increase in male population by 10%and 8%increase in female population then the overall population increase is 9% . Find the number of females in the village.
Answer»

Discussion

3256.	If p > 0, q< 0, then which of the following is correct?
Answer» `p+q GT 0` `p-q gt 0` `p+q LT 0` `p-q lt 0` ANSWER :B

Discussion

3257.	Ifsintheta+cosectheta=2,the value of sin^(100)theta+cosec^(100)theta is :
Answer» 1 2 3 100 Answer :A

Discussion

3258.	If the two real roots are distinct, then which of thefollowing may be correct?
Answer» Both are negative ONE is positive and ANOTHER one is. negative Both are positive all OFTHE above Answer :D

Discussion

3259.	A lad was asked his age by his friend. The lad said, "The number you get when you subtract 25 tiems my age from twice the square of my age will be thrice your age". If the friend's age is 14, then the age of the lad is:
Answer» 21/2 28 14 25 Answer :C

Discussion

3260.	Factor of x^(2)-x^(26)-x^(23) +1
Answer» `(x-1)` but not `(x+1)` `(x+1)` but not `(x-1)` both `(x+1) and (x-1)` NEITHER `(x+1)` nor `(x-1)` ANSWER :C

Discussion

3261.	factorize the following numbers into the prime factors 3465
Answer» SOLUTION :`3xx3xx5xx7xx11`

Discussion

3262.	A amount of Rs. 100 is being divided among two persons in the ratio 1/10:1/15. How much money does each get?
Answer» Solution :`1/10:1/15=1/10xx30:1/15xx30=3:2`(hence, 30 is the LCM of 10 and 15).So, the ratio of AMOUNT of money `=3/5xx100:2/5xx100=60` and 40

Discussion

3263.	The value of tan10^(@)tan15^(@)tan75^(@)tan80^(@) is
Answer» 0 1 `-1` 2 Answer :B

Discussion

3264.	A hollow square shaped tube open at both ends is made of iron. The internal square is of 5 cm side and the length of the tube is 8 cm . There are 192 cm^(3)of iron inthe tube . Find its thickness :
Answer» 2 cm 0.5 cm 1 cm can't be DETERMINED ANSWER :C

Discussion

3265.	Two filling taps P and Q together can fill a tank with rate of 40 lit/min and 60 lit/min respectively in 8 min. If a waste tap can empty the filled tank in 32 min, then what is the rate of waste tap ?
Answer» A) 34 lit/min B) 25 lit/min C) 22 lit/min D) 18 lit/min Answer :`19 . 5 cm^(2)`

Discussion

3266.	Two places P and Q are 800 km a part from each other. Two persons start from P towards Q at an interval of 2 hours. Where as A leaves P for Q before B. The speeds of A and B are 40 km/hr and 60 km/hr respectively . B overtakes A at M , which is on the way from P to Q.What is the distance from P where B overtakes A.
Answer» Answer :(i) 4 h (ii) 240 KM (III) 3 : 2 (iv) 13 h 20 MIN (v) 4 h 40 min (vi) 1 h 30 min (vii) 9 h

Discussion

3267.	The probability that a man can hit a target is 3//4. He tries 5 times. The probability that he will hit the target atleast three times, is
Answer» `291/364` `371/464` `471/502` `459/512` ANSWER :D

Discussion

3268.	314 weavers weaves 6594 shawls in 1//6 hours what is the number of shawls weaved per hour by average weaver?
Answer» A) 42 B) 21 C) 102 D) 126 Answer :D

Discussion

3269.	Two circles of radius 4 units and 3 units are at some distance such that the length of the transverse common tangent and the length of their direct common tangent are in the ratio 1 : 2. What is the distance between the centres of those circles.
Answer» `SQRT(50)` `sqrt(65)` 8 Cannot be determined Answer :B

Discussion

3270.	A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for ₹ 240. What is the original price per kg of sugar?
Answer» Rs. 10 per KG Rs. 8 per kg Rs. 6 per kg Rs. 5 per kg ANSWER :A

Discussion

3271.	The value of (n!)^(n) if n + (n - 1) + (n - 2) = n(n - 1)(n - 2), where n^3 > 9, a positive number:
Answer» 27 216 256 331776 Answer :B

Discussion

3272.	On decreasing price of pins by Rs 4 / dozen a person buys 12 more pins Rs . 48. Find new price of pins per dozen.
Answer» ANSWER :RS. 12

Discussion

3273.	The real values of a for which the quadratic equation 2x^2-(a^(3)+8a-1)x+a^(2)-4a=0 possesses roots of opposite signs are given by :
Answer» `agt6` `agt9` `0ltalt4` `alt0` ANSWER :C

Discussion

3274.	If (p)rarr the least possible integer greater than or equal to p. g t (p)rarr the greatest possible integer less than or equal to p. Delta(p, q) =" Min "(l t(p), g t(q)) What is the vlaue of lt (8.3)-g t(5.3)+l t(6.8)+g t(9.4)
Answer» 15 20 19 none of these Answer :B

Discussion

3275.	If (p)rarr the least possible integer greater than or equal to p. g t (p)rarr the greatest possible integer less than or equal to p. Delta(p, q) =" Min "(l t(p), g t(q)) Which of the following statements is always true about (a-b) where a=(p+q)/(2) and b=(h(p)+g t(q))/(2)
Answer» `-(1)/(4) le(a-B)le(1)/(4)`, always `-(4)/(2)le(a-b)le(4)/(2)` `-1le(a-b)LE1` `-1le(a-b)le1`, EXCEPT zero Answer :B

Discussion

3276.	Find the remainder when (2)^(5555) is divided by 13.
Answer» 4 5 6 7 Answer :d

Discussion

3277.	The sum of factors of 1520 except the unity is :
Answer» 3720 2730 2370 none of these Solution :SINCE 2520 = `2^4xx5^1xx19^1` `therefore` Sim of all FACTORS of 1520 = `((2^5-1)(5^2-1)(19^2-1))/(2-1)(5-1)(19-1) = (31xx24xx360)/(1xx4xx18) = 3720` But since UNITY is to be excluded. `therefore` The net SUM of the factors = 3719

Discussion

3278.	If (p)rarr the least possible integer greater than or equal to p. g t (p)rarr the greatest possible integer less than or equal to p. Delta(p, q) =" Min "(l t(p), g t(q)) Find the value of Delta(3, 2)-Delta(2, 3)+ g t (4.8)- l t(2.7)+Delta(4, 5)
Answer» a. 4 b. 5 c. 6 d. NONE of these Answer :B

Discussion

3279.	The square root of 57600 is :
Answer» 359 323 227 240 Answer :D

Discussion

3280.	Simplify the following expressions : 6/15 div 3/2
Answer»

Discussion

3281.	Speed of Karan is 40 km/h and speed of Arjun is 60km/h. What is the ratio of time taken by each to cover the same distance?
Answer» SOLUTION :`TIME TAKEN=(1/40):(1/60)=3:2`

Discussion

3282.	20 persons completed 1/3rd of the work in 12 days. How many more person are required to finish rest work in next 12 days?
Answer» 20 12 18 40 Answer :A

Discussion

3283.	Two persons A and B started from two different places towards each other.If the ratio of speeds be 3:5, what is the ratio of distance covered by A and B respectively till the point of meeting?
Answer» 1:2 3:4 3:5 5:3 Answer :C

Discussion

3284.	If m+ (1)/(m+2)= 0 find m^(4) + m^(3) + m^(2)+ m+1=?
Answer» ANSWER :1

Discussion

3285.	In a GP of real number , the sum of first four number is 30 and sum of their squares is 340 . The third term of the series is.
Answer» a. 5 B. 16 c. 8 d. 10 Answer :B

Discussion

3286.	If x lt 0 lt y, then :
Answer» `1/x^2 LT 1/xy lt 1/y^2` `1/x^2 lt 1/xy lt1/y^2` `1/x lt 1/y` `1/x GT 1` ANSWER :C

Discussion

3287.	If lines3y+4x=1,y=x+5and5y+bx-3=0 are concurrent, then the value of b = ?
Answer» 1 3 6 0 Answer :C

Discussion

3288.	If a regular hexagon circumscribes a circle of radius r , then its perimeter is :
Answer» a)`6 SQRT(3) r` B)`6 r` c)3r d)12 r ANSWER :B

Discussion

3289.	A cone and a hemisphere have equal bases and equal volumes. The ratio of their heights is
Answer» `3:1` `2:1` `1:2` `1:3` ANSWER :B

Discussion

3290.	The ratio of milk and water in a mixture is 3 : 1. We withdraw 6 ltmixture and added same quantity of water to the mixture, then ratio becomes 9 : 5. Find the initial quantity of milk.
Answer» `31.5` LT `17.9 ` lt `12.5` lt `15.30 ` lt Answer :A::C

Discussion

3291.	A Person X started at 3 hours earlierat 40km/h from a place P, then another person Y followed him at 60km/h. Started his journey at 3 O'clock, afternoon. What is the difference in time when X was 30 km ahead of Y and when Y was 30 km ahead of X?
Answer» 2h 3h 4h 3.5h Answer :C

Discussion

3292.	A person X started 3 hours earlier at 40 km/h from a place P then another person Y followed him at 60 km/h started his journey at 3 o'clock afternoon.At what time will they meet to each other(or at what time Y will overtake X)?
Answer» 0.77083333333333 0.8125 0.84375 none of these Answer :B

Discussion

3293.	A person X started 3 hours earlier at 40 km/h from a place P then another person Y followed him at 60 km/h started his journey at 3 o'clock afternoon.what is the diffrence in time when X was 30 km ahead of Y and when Y was 30 km ahead of X?
Answer» 2 3 3.5 4.25 Answer :B

Discussion

3294.	A person X started 3 hours earlier at 40 km/h from a place P then another person Y followed him at 60 km/h started his journey at 3 o'clock afternoon.what distance should Y covered so that he may reach 360 km ahead of X?
Answer» 1440 km 1200 km 920 km 750 km Answer :A

Discussion

3295.	A person X started 3 hours earlier at 40 km/h from a place P then another person Y followed him at 60 km/h started his journey at 3 o'clock afternoon.what is the distance travelled by Y to overtake X?
Answer» 180 km 420 km 320 km 360 km Answer :D

Discussion

3296.	ABCD is a square , 4 equal circles are just touching each other whose centresare the vertices A,B,C,D of the square . What is the ratio of the shaded to the unshaded area within square ?
Answer» `(8)/(11)` `(3)/(11)` `(5)/(11)` `(6)/(11)` Answer :B

Discussion

3297.	Two trains A and B start from two places P and Q towards Q and P respectively . After passing each other they take 4 hours 48 minutes and 3 hours and 20 minutes to reach Q and P respectively . If the train from P is moving at 45 km/h then find the speed of other train .
Answer» 69 km/h 74km/h 54km/h 64 km/h Solution :Speed of 2ND train = Speed of FIRST train `XX (sqrtT`ime taken by 1st train after meeting /`sqrtT`ime taken by 2nd train after meeting) = `sqrt(200 : 288) = 5 : 6` . `implies r_(2) = 54`km/hr

Discussion

3298.	3yr ago, the average age of family of 5 members was 17yr . Even after the birth of a child , the average is same today. Find out the age of child.
Answer» ANSWER :2 YEARS

Discussion

3299.	Total number of factors of a number is 24 and the sum of its 3 prime factors out of four, is 25. The product of all 4 prine factors of this number is 1365. Then such a greatest possible number can be :
Answer» 17745 28561 4095 can't be determined Answer :A

Discussion

3300.	An aeroplane is stopped for half an hour and now it has to cover a distance of 1500 km in given time so its speed is increased by 250 km/h find its initial speed.
Answer» ANSWER :750 km/h

Discussion

Explore topic-wise InterviewSolutions in .

Ifq=9999, find the value ofq(q+2) is:

Find the remainder when (3)^(162) is divided by 162.

IF""^(13)C_x= ""^(13)C_y ,what is the valueof x+y?

A can do a piece of work in 30 days and B can do same work in 60 days. In how many days will A & B do this work together ?

Population of a village is 8000. If there is an increase in male population by 10%and 8%increase in female population then the overall population increase is 9% . Find the number of females in the village.

If p > 0, q< 0, then which of the following is correct?

Ifsintheta+cosectheta=2,the value of sin^(100)theta+cosec^(100)theta is :

If the two real roots are distinct, then which of thefollowing may be correct?

A lad was asked his age by his friend. The lad said, "The number you get when you subtract 25 tiems my age from twice the square of my age will be thrice your age". If the friend's age is 14, then the age of the lad is:

Factor of x^(2)-x^(26)-x^(23) +1

factorize the following numbers into the prime factors 3465

A amount of Rs. 100 is being divided among two persons in the ratio 1/10:1/15. How much money does each get?

The value of tan10^(@)tan15^(@)tan75^(@)tan80^(@) is

A hollow square shaped tube open at both ends is made of iron. The internal square is of 5 cm side and the length of the tube is 8 cm . There are 192 cm^(3)of iron inthe tube . Find its thickness :

Two filling taps P and Q together can fill a tank with rate of 40 lit/min and 60 lit/min respectively in 8 min. If a waste tap can empty the filled tank in 32 min, then what is the rate of waste tap ?

The probability that a man can hit a target is 3//4. He tries 5 times. The probability that he will hit the target atleast three times, is

314 weavers weaves 6594 shawls in 1//6 hours what is the number of shawls weaved per hour by average weaver?

Two circles of radius 4 units and 3 units are at some distance such that the length of the transverse common tangent and the length of their direct common tangent are in the ratio 1 : 2. What is the distance between the centres of those circles.

A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for ₹ 240. What is the original price per kg of sugar?

The value of (n!)^(n) if n + (n - 1) + (n - 2) = n(n - 1)(n - 2), where n^3 > 9, a positive number:

On decreasing price of pins by Rs 4 / dozen a person buys 12 more pins Rs . 48. Find new price of pins per dozen.

The real values of a for which the quadratic equation 2x^2-(a^(3)+8a-1)x+a^(2)-4a=0 possesses roots of opposite signs are given by :

If (p)rarr the least possible integer greater than or equal to p. g t (p)rarr the greatest possible integer less than or equal to p. Delta(p, q) =" Min "(l t(p), g t(q)) What is the vlaue of lt (8.3)-g t(5.3)+l t(6.8)+g t(9.4)

If (p)rarr the least possible integer greater than or equal to p. g t (p)rarr the greatest possible integer less than or equal to p. Delta(p, q) =" Min "(l t(p), g t(q)) Which of the following statements is always true about (a-b) where a=(p+q)/(2) and b=(h(p)+g t(q))/(2)

Find the remainder when (2)^(5555) is divided by 13.

The sum of factors of 1520 except the unity is :

If (p)rarr the least possible integer greater than or equal to p. g t (p)rarr the greatest possible integer less than or equal to p. Delta(p, q) =" Min "(l t(p), g t(q)) Find the value of Delta(3, 2)-Delta(2, 3)+ g t (4.8)- l t(2.7)+Delta(4, 5)

The square root of 57600 is :

Simplify the following expressions : 6/15 div 3/2

Speed of Karan is 40 km/h and speed of Arjun is 60km/h. What is the ratio of time taken by each to cover the same distance?

20 persons completed 1/3rd of the work in 12 days. How many more person are required to finish rest work in next 12 days?

Two persons A and B started from two different places towards each other.If the ratio of speeds be 3:5, what is the ratio of distance covered by A and B respectively till the point of meeting?

If m+ (1)/(m+2)= 0 find m^(4) + m^(3) + m^(2)+ m+1=?

In a GP of real number , the sum of first four number is 30 and sum of their squares is 340 . The third term of the series is.

If x lt 0 lt y, then :

If lines3y+4x=1,y=x+5and5y+bx-3=0 are concurrent, then the value of b = ?

If a regular hexagon circumscribes a circle of radius r , then its perimeter is :

A cone and a hemisphere have equal bases and equal volumes. The ratio of their heights is

The ratio of milk and water in a mixture is 3 : 1. We withdraw 6 ltmixture and added same quantity of water to the mixture, then ratio becomes 9 : 5. Find the initial quantity of milk.

A Person X started at 3 hours earlierat 40km/h from a place P, then another person Y followed him at 60km/h. Started his journey at 3 O'clock, afternoon. What is the difference in time when X was 30 km ahead of Y and when Y was 30 km ahead of X?

A person X started 3 hours earlier at 40 km/h from a place P then another person Y followed him at 60 km/h started his journey at 3 o'clock afternoon.At what time will they meet to each other(or at what time Y will overtake X)?

A person X started 3 hours earlier at 40 km/h from a place P then another person Y followed him at 60 km/h started his journey at 3 o'clock afternoon.what is the diffrence in time when X was 30 km ahead of Y and when Y was 30 km ahead of X?

A person X started 3 hours earlier at 40 km/h from a place P then another person Y followed him at 60 km/h started his journey at 3 o'clock afternoon.what distance should Y covered so that he may reach 360 km ahead of X?

A person X started 3 hours earlier at 40 km/h from a place P then another person Y followed him at 60 km/h started his journey at 3 o'clock afternoon.what is the distance travelled by Y to overtake X?

ABCD is a square , 4 equal circles are just touching each other whose centresare the vertices A,B,C,D of the square . What is the ratio of the shaded to the unshaded area within square ?

Two trains A and B start from two places P and Q towards Q and P respectively . After passing each other they take 4 hours 48 minutes and 3 hours and 20 minutes to reach Q and P respectively . If the train from P is moving at 45 km/h then find the speed of other train .

3yr ago, the average age of family of 5 members was 17yr . Even after the birth of a child , the average is same today. Find out the age of child.

Total number of factors of a number is 24 and the sum of its 3 prime factors out of four, is 25. The product of all 4 prine factors of this number is 1365. Then such a greatest possible number can be :

An aeroplane is stopped for half an hour and now it has to cover a distance of 1500 km in given time so its speed is increased by 250 km/h find its initial speed.