8677 + Interview Questions in Maths in Class 14 Page 158 InterviewSolution

7851.	Find the measure of largest angle of a quadrilateral if the measures of its interior angles are in the ratio of3:4:5:6:
Answer» `60^@` `120^@` `90^@` can't be determined Answer :B

Discussion

7852.	If p = N + 5 when N is the product of any three consecutive postivie integer. Then :
Answer» <P>p is prime p is odd p is DIVISIBLE by 6 EITHER OF (B), (C) ANSWER :B

Discussion

7853.	The value of log_(10)(0.0001) is:
Answer» `1/1000` `-3` `-4` NONE of these ANSWER :C

Discussion

7854.	If (x+1/x)=3 the the value of (x^3+1/x^3) is equal to
Answer» `18sqrt3` 18 `9sqrt3` 12 Answer :B

Discussion

7855.	If x=3 and y=4 , find the value of 3x+2y
Answer» SOLUTION :`3x+2y=3xx3+2xx4=9+8=17`

Discussion

7856.	There are 20 persons including two brothers. In how many ways can they be arranged on a round table if:There is exactly one person between the two brothers.
Answer» a. `(14!)^2` b. `(14!)` C. `2.(18!)` d. NONE of these Answer :C

Discussion

7857.	""^(L)sqrtM is surd of order……, where M is a rational number, L is a positive integer and ""^(L)sqrtM is irrational.
Answer» L M 2 4 Answer :A

Discussion

7858.	Rajeev earns 3/2 times in january,April,july and october than his average earning of ₹600 per month in the rest of the months therefore his saving in the month of january april july and october is 5/4 times of the monthly savings of ₹400 for each of the remaoining months of the year.The average expenditure of the month is:
Answer» `₹266.66` `₹250` `₹233.33 `₹433.33` ANSWER :A

Discussion

7859.	A person had₹ 8400.He lent a part of it at 4% and the remaining at 3 (1)/(3)% simple interest. His total annual income was₹ 294. Find the sum he lent at 4%
Answer» 2310 2110 2500 2100 Answer :D

Discussion

7860.	Study the following graph carefully and answer the questions that follow In the year 2004, the expenditureincurred by companies A and B was the same ,what was respeectiveratioof the incomes ofcompaniesA and B in that year?
Answer» a.12:13 b.13:12 c.60:64 d.none of these Answer :A

Discussion

7861.	If p and q(ne0) are the roots of the equation x^(2)+px+q=0, then the value of p must be equal to
Answer» No RATIONAL ROOTS one rational root Two rational roots Either (b) or (C) ANSWER :A

Discussion

7862.	A drum of 20 litres is filled with milk. A milkman has only two measuring vessels of 3 litres and 5 litres without any calibration. He has to measure four litres of milk for a customer without using any other vessel. Minimum how many operations are required for this work, where an operation is counted if the milk is transferred from one vessel to another vessel?
Answer» 5 6 8 11 Answer :C

Discussion

7863.	There are three drums with 1653 litre 2261 litre and 2527 litre of petrol. The greatest possible size of the measuring vessel with which we can measure up the petrol of any drum while every time the vessel must be completely filled:
Answer» 31 27 19 41 Answer :B

Discussion

7864.	log_(2)7 is:
Answer» an integer a PRIME number a RATIONAL number an IRRATIONAL number Answer :D

Discussion

7865.	(12345)/(12346) + (12346)/(12347) + (12347)/(12345) is equal to :
Answer» a. 2.67 b. 6.27 C. 3 d. 5 Answer :C

Discussion

7866.	If P + P! = P^2 then the value of P is:
Answer» 5 7 3 0 Answer :C

Discussion

7867.	ABC is a right angle triangle at A and AD is perpendicular to the hypotenuse. Then (BD)/(CD) is equal to :
Answer» `((AB)/(AC))^(2)` `((AB)/(AD))^(2)` `(AB)/(AC)` `(AB)/(AD)` ANSWER :A

Discussion

7868.	On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ?
Answer» A) RS. 5422 B) Rs. 10,500 C) Rs. 12,800 D) Rs. 15,000 Answer :Rs 7076

Discussion

7869.	For any natural number n, if D (n) is the sum of all the digits of D(n) find the remainder when sum_1^99 D(n) is divided by 99.
Answer» 9 0 1 89 Answer :B

Discussion

7870.	In the following division problem some digits are replaced by letters a,b,c…….etc. The value of J is :
Answer» 1 6 8 None of these ANSWER :C

Discussion

7871.	At what per cent annual compound interest rate a certain sum amounts to its 27 times in 3 yr?
Answer» 100 150 175 200 Answer :D

Discussion

7872.	A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is ?
Answer» A) 11 B) 7 C) 9 D) 13 Answer :RS.2000,Rs . 3000

Discussion

7873.	What is the least number which must be multiplied to 5400 to get a perfect square?
Answer» 2 3 6 10 Answer :C

Discussion

7874.	Solve 5x^(2) + 11x + 6= 0
Answer» ANSWER :5

Discussion

7875.	If (150)^(x) =7, then x is equal to:
Answer» `(LOG7)/((LOG3)+(log5)+1)` `(log7)/((log3)+(log6))` `(log7)/((log3)+(log5)+10)` none of these Answer :A

Discussion

7876.	A certain number 'C' when divided by N_1 it leaves a remainder of 13 and when it is divided by N_2 it leaves a remainder of 1, where N_1 and N_2 are the positive integers. Then the value of N_1 + N_2 is if (N_1)/(N_2) = 5/4.
Answer» 36 27 54 can't be DETERMINED uniquely Answer :D

Discussion

7877.	If x < 0 < y, then :
Answer» `1/(x^2) lt 1/(XY) lt 1/(y^2)` `1/(x^2) GT 1/(xy) gt 1/(y^2)` `1/x lt 1/y` `1/x gt 1` Answer :C

Discussion

7878.	The sides of a triangle are 12 cm, 8 cm and 6 cm respectively, the triangle is :
Answer» acute obtuse right can't be determined Answer :B

Discussion

7879.	5 elements below 25 from the set A are transferred to Set B, and 10 elements lying between 25 and 50 from the Set B are transferred to Set C and 15 elements above 50 from the Set C are transferred to Set A. The maximum increase in the average of set :
Answer» ANSWER :A

Discussion

7880.	If the first five elements of the set xi+5,i=1,2,3...5 and the next five elements are replaced by xj −5,j=6...10 then the mean will change by
Answer» ANSWER :B

Discussion

7881.	A number is divided into two parts.In such a way that 80%of first part exceeds 60%of second part by3. 80%of second part exceeds 90%of first part by 6. Find the number.
Answer» ANSWER :135

Discussion

7882.	The quadratic equation whose roots are 3 and -1 is
Answer» `X^(2)-4X+3=0` `x^(2)-2x-3=0` `x^(2)+2x-3=0` `x^(2)+4x +3=0` ANSWER :B

Discussion

7883.	find the value of(11)^3
Answer» SOLUTION : `THEREFORE (11)^3 = 1331`

Discussion

7884.	Eight years ago there were 5 members in the Arthur's family and then the average age of the family was 36 years. Mean while Arthur got married and gave birth to a child. Still the average age of his family is same now. The age of Arthur at the time of his marriage was :
Answer» 22 years 23 years 26 years can't be determined Answer :D

Discussion

7885.	Eight years ago there were 5 members in the Arthur's family and then the average age of the family was 36 years. Mean while Arthur got married and gave birth to a child. Still the average age of his family is same now. The age of his wife at the time of his child's birth was. If the difference between the age of her child and herself was 26 years :
Answer» 25 years 26 years 20 years can't be determined Answer :B

Discussion

7886.	Eight years ago there were 5 members in the Arthur's family and then the average age of the family was 36 years. Mean while Arthur got married and gave birth to a child. Still the average age of his family is same now. The present age of his wife is :
Answer» 25 years 26 years 32 years data insufficient Answer :D

Discussion

7887.	860% of 50 + 50% of 860 = ?
Answer» a. 430 b. 516 C. 860 d. 960 Answer :C

Discussion

7888.	A man read (2)/(5)th of a book on the first day. He read (1)/(3)rd more than he read on the first day. 15 pages were left for the third day. The number of pages in the book is
Answer» 100 105 225 250 Answer :C

Discussion

7889.	Solve 23 xx 74.
Answer» SOLUTION :

Discussion

7890.	root(3)(1+sqrt(2)).root(6)(3-2sqrt2)=?
Answer» None of these `SQRT(2)-1` 1 `3-2sqrt(2)` ANSWER :C

Discussion

7891.	If a/b=c/d,then :
Answer» (a+b)/(a-b)=(c+d)/(c-d) `(a+b)/(a^2)=(c+d)/(d^2)` `(a+b)/(a^2)=(c+d)/(c^2)` ac=bd Answer :A

Discussion

7892.	The number of circles that can be drawn out of 10 points of which 7 are collinear is
Answer» 35 85 70 124 Answer :B

Discussion

7893.	If the A.M of two positive numbers a and b, (a gt b) is twice their G.M. , then a:b is :
Answer» a)`2: SQRT3` B)`2:7 + 4sqrt3` C)`2+ sqrt3 : 2-sqrt3` d)`7+4sqrt3:7-4sqrt3` ANSWER :C

Discussion

7894.	What is the angle between the hands of a clock when the time is 15 minutes past 6?
Answer» `97.5^@` `87.5^@` `77^@` NONE of these Answer :A

Discussion

7895.	If (cos^(4)alpha)/(cos^(2)beta)+(sin^(4)beta)/(sin^(2)alpha)=1, then (cos^(6)beta)/(cos^(4)alpha)+(sin^(6)alpha)/(sin^(4)beta)=?
Answer» 4 0 `1//8` 1 Answer :D

Discussion

7896.	Every prime number of the form 3k+1 can be represented in th form 6m+1 (where k, m are integers), when
Answer» K is ODD k is even k can be both odd and even No such form is possible Answer :B

Discussion

7897.	A takes 4 h more than the time taken by B to walk D km. If A doubles his speed, he can make it in 2 h less than that of B. How much time does B require for walking D km?
Answer» 8H 4H 6H 9H Answer :A

Discussion

7898.	Find the no. of zeros in expression : (1 xx 3 xx 5 …….. 99) xx 100
Answer» 24 12 10 2 Answer :d

Discussion

7899.	When a 3 digit number 984 is added to another 3 digit number 4 p3, we get a four digit number 13q7, which is divisible by 11. The value of p + q is:
Answer» 10 11 12 13 Answer :A

Discussion

7900.	A person was appointed for a 50 days job on a condition that he will be paid Rs. 12 for every working day but he will be fined Rs. 6 for every day he remains absent. After the completion of the work, he got Rs. 420. For how many days, he did not work?
Answer» 15 DAYS 5 days 10 days 20 days Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

Find the measure of largest angle of a quadrilateral if the measures of its interior angles are in the ratio of3:4:5:6:

If p = N + 5 when N is the product of any three consecutive postivie integer. Then :

The value of log_(10)(0.0001) is:

If (x+1/x)=3 the the value of (x^3+1/x^3) is equal to

If x=3 and y=4 , find the value of 3x+2y

There are 20 persons including two brothers. In how many ways can they be arranged on a round table if:There is exactly one person between the two brothers.

""^(L)sqrtM is surd of order……, where M is a rational number, L is a positive integer and ""^(L)sqrtM is irrational.

A person had₹ 8400.He lent a part of it at 4% and the remaining at 3 (1)/(3)% simple interest. His total annual income was₹ 294. Find the sum he lent at 4%

Study the following graph carefully and answer the questions that follow In the year 2004, the expenditureincurred by companies A and B was the same ,what was respeectiveratioof the incomes ofcompaniesA and B in that year?

If p and q(ne0) are the roots of the equation x^(2)+px+q=0, then the value of p must be equal to

There are three drums with 1653 litre 2261 litre and 2527 litre of petrol. The greatest possible size of the measuring vessel with which we can measure up the petrol of any drum while every time the vessel must be completely filled:

log_(2)7 is:

(12345)/(12346) + (12346)/(12347) + (12347)/(12345) is equal to :

If P + P! = P^2 then the value of P is:

ABC is a right angle triangle at A and AD is perpendicular to the hypotenuse. Then (BD)/(CD) is equal to :

On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ?

For any natural number n, if D (n) is the sum of all the digits of D(n) find the remainder when sum_1^99 D(n) is divided by 99.

In the following division problem some digits are replaced by letters a,b,c…….etc. The value of J is :

At what per cent annual compound interest rate a certain sum amounts to its 27 times in 3 yr?

A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is ?

What is the least number which must be multiplied to 5400 to get a perfect square?

Solve 5x^(2) + 11x + 6= 0

If (150)^(x) =7, then x is equal to:

A certain number 'C' when divided by N_1 it leaves a remainder of 13 and when it is divided by N_2 it leaves a remainder of 1, where N_1 and N_2 are the positive integers. Then the value of N_1 + N_2 is if (N_1)/(N_2) = 5/4.

If x < 0 < y, then :

The sides of a triangle are 12 cm, 8 cm and 6 cm respectively, the triangle is :

5 elements below 25 from the set A are transferred to Set B, and 10 elements lying between 25 and 50 from the Set B are transferred to Set C and 15 elements above 50 from the Set C are transferred to Set A. The maximum increase in the average of set :

If the first five elements of the set xi+5,i=1,2,3...5 and the next five elements are replaced by xj −5,j=6...10 then the mean will change by

A number is divided into two parts.In such a way that 80%of first part exceeds 60%of second part by3. 80%of second part exceeds 90%of first part by 6. Find the number.

The quadratic equation whose roots are 3 and -1 is

find the value of(11)^3

Eight years ago there were 5 members in the Arthur's family and then the average age of the family was 36 years. Mean while Arthur got married and gave birth to a child. Still the average age of his family is same now. The age of Arthur at the time of his marriage was :

Eight years ago there were 5 members in the Arthur's family and then the average age of the family was 36 years. Mean while Arthur got married and gave birth to a child. Still the average age of his family is same now. The present age of his wife is :

860% of 50 + 50% of 860 = ?

A man read (2)/(5)th of a book on the first day. He read (1)/(3)rd more than he read on the first day. 15 pages were left for the third day. The number of pages in the book is

Solve 23 xx 74.

root(3)(1+sqrt(2)).root(6)(3-2sqrt2)=?

If a/b=c/d,then :

The number of circles that can be drawn out of 10 points of which 7 are collinear is

If the A.M of two positive numbers a and b, (a gt b) is twice their G.M. , then a:b is :

What is the angle between the hands of a clock when the time is 15 minutes past 6?

If (cos^(4)alpha)/(cos^(2)beta)+(sin^(4)beta)/(sin^(2)alpha)=1, then (cos^(6)beta)/(cos^(4)alpha)+(sin^(6)alpha)/(sin^(4)beta)=?

Every prime number of the form 3k+1 can be represented in th form 6m+1 (where k, m are integers), when

A takes 4 h more than the time taken by B to walk D km. If A doubles his speed, he can make it in 2 h less than that of B. How much time does B require for walking D km?

Find the no. of zeros in expression : (1 xx 3 xx 5 …….. 99) xx 100

When a 3 digit number 984 is added to another 3 digit number 4 p3, we get a four digit number 13q7, which is divisible by 11. The value of p + q is:

A person was appointed for a 50 days job on a condition that he will be paid Rs. 12 for every working day but he will be fined Rs. 6 for every day he remains absent. After the completion of the work, he got Rs. 420. For how many days, he did not work?