8677 + Interview Questions in Maths in Class 14 Page 122 InterviewSolution

6051.	If p and q are the roots of x^2 +px + q = 0, then which one of the following is correct ?
Answer» p = 1 p = 1 or 0 p = -2 p = -2 or 0 Answer :B

Discussion

6052.	Six circleseach of unit radius are being circumscribed by another larger circle.All the smaller circlestouch each other . What is the circumference of the larger circle ?
Answer» `((SQRT(3) + 4)/(sqrt(2)))PI` CM `4 sqrt(3)pi cm ` `2((4+ sqrt(3))/(sqrt(3)))pi` cm can't be determined ANSWER :C

Discussion

6053.	A cellphone is available for ₹ 600 or for 300 cash down payment together with ₹ 360 to be paid after two months. Find the rate of interest charged under this scheme :
Answer» `20%` `50%` `120%` NONE of these Answer :C

Discussion

6054.	log_a(m/n) is equal to :
Answer» `log_a(m-N)` `log_am-log_an` `(log_am)/n` `log_am+log_an` ANSWER :B

Discussion

6055.	The average of the ages of Sumit, Krishna and Rishabh is 43 years and the average of the ages of Sumit, Rishabh and Rohit is 49 years. If Rohit is 54 years old, what is Krishna'a age ?
Answer» A. 48 yrs B.42 yrs C. 40 yrs D.36 yrs Answer :3

Discussion

6056.	A father is three timesas old as his son. After twelve years, his age will be twice as that of hisson then. Find their present ages.
Answer» 10y,30y 12y,36y 6y,36y 124y,24y Answer :B

Discussion

6057.	Out of the following statements which one is incorrect?
Answer» `sqrt5184 = 72` `sqrt15625 = 125` `sqrt1526`= 33` `sqrt1296 = 34` ANSWER :D

Discussion

6058.	Solve the following : (-6)^4
Answer» SOLUTION :`(-6) XX (-6)xx (-6)xx (-6)= 1296`

Discussion

6059.	6 men or 10 women can reap a field in 15 days, then the number of days that 12 men and 5 women will take to reap the same field is :
Answer» 5 6 8 12 Answer :B

Discussion

6060.	Find the minimum and maximum value of 4tan^(2)theta+9cos^(2)theta.
Answer» 8 6 13 12

Discussion

6061.	What is the value of x if \|x-1\|+\|x\|=2:
Answer» -1/2 44230 both (a) and (B) NONE of these Answer :C

Discussion

6062.	A man working 6 hours a day takes 8 days to complete a project. How many hours a day must he work to complete. It in 3 days?
Answer» 16 10 20 15 Answer :C

Discussion

6063.	These questions are based on the given data. A polynomial can be represented in an equivalent sequence form. The polynomial p_(1)x^(k_(1))+p_(2)x^(k_(2))+p_(3)x^(k_(3))+...p_(n)x^(k_(n)) where k_(1) gt k_(2) gt k_(3)... Gt k_(n) and a_(1) ne 0" for "1leilen will be represented as the sequence (p_(1), k_(1), p_(2), k_(2), p_(3), k_(3)....p_(n), k_(n)) Also, we add, subtract, multiply as we do for corresponding polynomials. The resulting polynomial is again represented as sequence. The expression (3, 3, -10, 2, 7, 1)/(3, 2, -7, 1) equals :
Answer» `(1, 1, 0-1, 1)` `(1, 1, -1, 0)` `(2, 2, -2, 0)` none of these Answer :B

Discussion

6064.	X and Y start walking towards each other at 8 : 00 am at the speeds of 3 km/h and 4 km/h, respectively. They were initially 17.5 km apart. At what time do they meet?
Answer» a. `10:30` AM b. `10:30` PM c. `11:30` AM d. `11:30` PM Answer :A

Discussion

6065.	There are three runners Deepak, Sandeep and Pawan with their respective speeds of 10 km/h, 20 km/h. They are initially at P and they have to run between the two points P and Q which are 10 km apart from each other. They start their race at 6 am and end at 6 pm on the same day. If they run between P and Q without any break, then how many times they will be together either at P and Q during the given time period?
Answer» 5 7 4 12 Answer :B

Discussion

6066.	These questions are based on the given data. A polynomial can be represented in an equivalent sequence form. The polynomial p_(1)x^(k_(1))+p_(2)x^(k_(2))+p_(3)x^(k_(3))+...p_(n)x^(k_(n)) where k_(1) gt k_(2) gt k_(3)... Gt k_(n) and a_(1) ne 0" for "1leilen will be represented as the sequence (p_(1), k_(1), p_(2), k_(2), p_(3), k_(3)....p_(n), k_(n)) Also, we add, subtract, multiply as we do for corresponding polynomials. The resulting polynomial is again represented as sequence. (1, 1, 2, 0)xx(1, 1, 2, 0)xx(1, 1, 2, 0) equals :
Answer» `(1, 1, -1, 1)` `(1, 1, -1, 0)` `(2 2, -2, 0)` NONE of these Answer :A

Discussion

6067.	These questions are based on the given data. A polynomial can be represented in an equivalent sequence form. The polynomial p_(1)x^(k_(1))+p_(2)x^(k_(2))+p_(3)x^(k_(3))+...p_(n)x^(k_(n)) where k_(1) gt k_(2) gt k_(3)... Gt k_(n) and a_(1) ne 0" for "1leilen will be represented as the sequence (p_(1), k_(1), p_(2), k_(2), p_(3), k_(3)....p_(n), k_(n)) Also, we add, subtract, multiply as we do for corresponding polynomials. The resulting polynomial is again represented as sequence. (6, 5, 7, 4, 8, 3)-(3, 5, 5, 3, 7, 1) equals
Answer» `(3, 5, 2, 2, 1, 2)` `(3, 5, 7, 4, 3, 3, -7, 1)` `(3, 5, 7, 3, 8, 2)` NONE of these Answer :B

Discussion

6068.	These questions are based on the given data. A polynomial can be represented in an equivalent sequence form. The polynomial p_(1)x^(k_(1))+p_(2)x^(k_(2))+p_(3)x^(k_(3))+...p_(n)x^(k_(n)) where k_(1) gt k_(2) gt k_(3)... Gt k_(n) and a_(1) ne 0" for "1leilen will be represented as the sequence (p_(1), k_(1), p_(2), k_(2), p_(3), k_(3)....p_(n), k_(n)) Also, we add, subtract, multiply as we do for corresponding polynomials. The resulting polynomial is again represented as sequence. (3, 4, 2, 2, 5, 1)+(2, 4, 3, 3, 7, 2) equals :
Answer» `(5, 4, 3, 4, 9, 3, 5, 1)` `(5, 4, 5, 5, 12, 3)` `(5, 4, 3, 3, 9, 2, 5, 1)` none of these Answer :C

Discussion

6069.	Find the value of x and y in the given equatyion 5 7/x xx y 1/13 = 12:
Answer» `-2,9` `9, 2` `4,3` `9,4` ANSWER :B

Discussion

6070.	Study the following graph carefully and answer the questions that follow What is the respective ratio of the amountof profit earnedby companiesA and B in the year 2009 ?
Answer» a.`3:2` B.`4:7` C.`11:15` d.Cannot be DETERMINED ANSWER :D

Discussion

6071.	The sum of five number is 215. The average of the first two number is 36.5 and the average of the last two number is 42.5. What is the third number ?
Answer» 52 59 57 none of these Answer :A

Discussion

6072.	Let f={(1,1),(2,3),(0,−1),(−1,−3)} be a function from Z to Z defined by f(x)=ax+b for some integers a,b. Determine a,b.
Answer» ANSWER :C

Discussion

6073.	Average of 17 observations is 28. The average of first 8 observations is 25 and last 8 observation is 30. find the 9th observation.
Answer» 36 20 29 none of the above Answer :A

Discussion

6074.	If costheta+sectheta=2(0^(0)lethetale90^(@)), thencos100theta+sin100theta=?
Answer» 0 1 2 3 Answer :B

Discussion

6075.	Loss incurred by selling an article for Rs 550 is equal to half of the profit gained by selling same article for Rs 850 Find the cost price of this article?
Answer» ANSWER :RS. 650

Discussion

6076.	A student scored 85% marks. Total marks were 400. How much did he score ?
Answer» SOLUTION :MARKS SCORED =`85% of400 = 85/100 xx400=340`

Discussion

6077.	(49^(13) - 1) is exactly divisible by
Answer» 50 51 29 8 Answer :D

Discussion

6078.	If 2a - 9 = b+ a, then the value of (\|a - b\| + \|b - a\|) is :
Answer» 18 11 1 0 Solution :`THEREFORE` 2a - 9 = B + 8A` ` RARR 2a - a = b + 9 ` ` rArr a = b + 9 ` `rArr a - b = 9 or b - a = -9 ` `abs(a-b)+abs(b-a)=abs9+abs(-9) = 9 + 9 = 18`

Discussion

6079.	Find max^(m)&min^(m) value of cos^(2)theta+sintheta
Answer» ANSWER :`-1`

Discussion

6080.	I get profit of 10% on selling a horse for Rs.3100 and a buffalo for Rs 1300 . I incur loss of 10% if I sell horse for Rs 3150 and a buffalo at its C.P. Find the difference C.P. of horse and buffalo.
Answer» ANSWER :RS. 3100

Discussion

6081.	If (secalpha+tanalpha)(secbeta+tanbeta)(secgamma+tangamma)=(secalpha-tanalpha)(secbeta-tanbeta)(secgamma-tangamma), then each of the side is equal to
Answer» `pm1` `-1` `+1` 4 Answer :A

Discussion

6082.	If AD, BE, CF are the altitudes of DeltaABC whose orthocentre is H, then C is the orthocentre of :
Answer» `DeltaABH` `DeltaBDH` `DELTAABD` `DeltaBEA` ANSWER :A

Discussion

6083.	If a^2+b^2+c^2=1 then ab+bc+ca lies in the interval
Answer» `[1,2//3]` `[-1//2,1] `[-1,1//2]` [2,-4] ANSWER :B

Discussion

6084.	Diagonals of a parallelogram are 8 m and 6 m respectively. If one of side is 5m, then the area of parallelogram is:
Answer» `18 m^2` `30 m^2` `24 m^2` `48 m^2` Answer :C

Discussion

6085.	ABCD is a parallelogram and m angleDAB=30^@, BC=20 cm and AB=20 cm. Find the area of parallelogram:
Answer» `150 cm^2` `200 cm^2` `400 cm^2` `260 cm^2` Answer :B

Discussion

6086.	These questions are based on the given data. A polynomial can be represented in an equivalent sequence form. The polynomial p_(1)x^(k_(1))+p_(2)x^(k_(2))+p_(3)x^(k_(3))+...p_(n)x^(k_(n)) where k_(1) gt k_(2) gt k_(3)... Gt k_(n) and a_(1) ne 0" for "1leilen will be represented as the sequence (p_(1), k_(1), p_(2), k_(2), p_(3), k_(3)....p_(n), k_(n)) Also, we add, subtract, multiply as we do for corresponding polynomials. The resulting polynomial is again represented as sequence. (4, 4, 3, 3)xx(2, 2, 1, 1)+(2, 2, 1, 1)-(3, 5, 2, 4) equals :
Answer» `(8, 6, 5, 5, 7, 4, 2, 3, 2, 1)` `(8, 6, 7, 5, 1, 4, 2, 2, 1, 1)` `(8, 6, 7, 5, 2, 4, 3, 2, 1, 1)` NONE of the above Answer :B

Discussion

6087.	These questions are based on the given data. A polynomial can be represented in an equivalent sequence form. The polynomial p_(1)x^(k_(1))+p_(2)x^(k_(2))+p_(3)x^(k_(3))+...p_(n)x^(k_(n)) where k_(1) gt k_(2) gt k_(3)... Gt k_(n) and a_(1) ne 0" for "1leilen will be represented as the sequence (p_(1), k_(1), p_(2), k_(2), p_(3), k_(3)....p_(n), k_(n)) Also, we add, subtract, multiply as we do for corresponding polynomials. The resulting polynomial is again represented as sequence. Which of the following is incorrect?
Answer» `(1,1, 1,0)XX(1, 2, -1, 1, 1, 0)=(1, 3, 1, 0)` `(2, 2, 1, 1)xx(4, 4, 4, 4)=(16, 6, 10, 5)` `((1, 2, 4, 1, 4, 0))/((1, 1, 2, 0))=(1, 1, 2, 0)` none of the above Answer :B

Discussion

6088.	If area of a regular pentagon is 125sqrt(3) sq cm, how long is its each side?
Answer» 10 cm 15 cm 16 cm 25 cm Answer :A

Discussion

6089.	The value of log_(2)log_(3) log_(5)(125)^(3) is:
Answer» 0 1 2 3 Answer :A

Discussion

6090.	A program module is given below with various steps involved, which starts with the value of a, b, c as 1, 2, 3 respectively. These volues remain unchanged till step 1. The program is executed with the help of following operators. "Milan 2(P)"=Pxx2 "Milaap 2 (P)"=P+2 and b=a means the value of a is assigned to b. START Step 1. Read (a, b, c) Step 2. Milan 2(a) Step 3. Milaap 2(b) Step 4. c=a+b Step 5. If, c gt 111, then go to step 6 else go to step 2. Step 6. STOP How many times in the above program does c take a perfect square value ?
Answer» 1 2 0 none of these Answer :D

Discussion

6091.	A program module is given below with various steps involved, which starts with the value of a, b, c as 1, 2, 3 respectively. These volues remain unchanged till step 1. The program is executed with the help of following operators. "Milan 2(P)"=Pxx2 "Milaap 2 (P)"=P+2 and b=a means the value of a is assigned to b. START Step 1. Read (a, b, c) Step 2. Milan 2(a) Step 3. Milaap 2(b) Step 4. c=a+b Step 5. If, c gt 111, then go to step 6 else go to step 2. Step 6. STOP How many times is hte program module repeated?
Answer» 6 7 5 none of these Answer :A

Discussion

6092.	A program module is given below with various steps involved, which starts with the value of a, b, c as 1, 2, 3 respectively. These volues remain unchanged till step 1. The program is executed with the help of following operators. "Milan 2(P)"=Pxx2 "Milaap 2 (P)"=P+2 and b=a means the value of a is assigned to b. START Step 1. Read (a, b, c) Step 2. Milan 2(a) Step 3. Milaap 2(b) Step 4. c=a+b Step 5. If, c gt 111, then go to step 6 else go to step 2. Step 6. STOP In a particular cycle a, b and c get the values such that 9a=8c, then the value of b is :
Answer» 6 8 16 none of these Answer :C

Discussion

6093.	Solve the following expressions. (-2)^3 xx 5^2
Answer» SOLUTION :`-8 XX 25 = -200`

Discussion

6094.	After an increment of16 (2)/( 3) %the cost of a machine, it becomes Rs. 4900. Find the initial cost of machine.
Answer» ANSWER :RS. 4200

Discussion

6095.	Certain number of people work in three farms. A , B and C . Three are only type farms and each person works in one or more farms. 72% of people were in farmand people working in only farms C was (1)/(36)the of people working in farm A. Number of people working in both B and C but not in Farm A are 55. people working in only farms B are 65 more thn the people working in only farm C. Number of people working in only farm A is (160)/(3)% more than number of people working in farm B. What is the number of people working in farm B only ?
Answer» 65 55 75 80 Solution :PEOPLE WORKING in FARM B only =75

Discussion

6096.	A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article was
Answer» A. 360 B. 300 C. 250 D. 200 Solution :TOTAL people `RARR 100xx5=500`

Discussion

6097.	Certain number of people work in three farms. A , B and C . Three are only type farms and each person works in one or more farms. 72% of people were in farmand people working in only farms C was (1)/(36)the of people working in farm A. Number of people working in both B and C but not in Farm A are 55. people working in only farms B are 65 more thn the people working in only farm C. Number of people working in only farm A is (160)/(3)% more than number of people working in farm B. What is the number of people who working in farm, A but not only in farm?
Answer» `205(15)/(17)%` `246(17)/(19)%` `229(09)/(13)%` `257(17)/(19)%` Solution :PEOPLE working in farm A or farm B `=500-10=490` People wokring in only farm or only farm A `rArr 75+115=190` `% rArr (490)/(190)xx100=257(17)/(19)%`

Discussion

6098.	The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs 3. The ratio of two selling prices is
Answer» A. 52:53 B.53:54 C.51:52 D. 51:59 Solution :People WORKING in both FARM A and farm C `360-115-105=140` Required `%=(140xx100)/(500)=28%`

Discussion

6099.	If (a-7)(b-10)(c-12) = 1000, the least possible value of (a+b+c) equals :
Answer» 59 29 14 any INTEGER LESS than 1000 Answer :A

Discussion

6100.	A shopkeeper earns a profit of 17% on selling a book at 10% discount on the printed price. The ratio of the C.P to the printed price of the book is
Answer» `9:17` `10:13` `13:17` `10:17` ANSWER :B

Discussion

Explore topic-wise InterviewSolutions in .

If p and q are the roots of x^2 +px + q = 0, then which one of the following is correct ?

Six circleseach of unit radius are being circumscribed by another larger circle.All the smaller circlestouch each other . What is the circumference of the larger circle ?

A cellphone is available for ₹ 600 or for 300 cash down payment together with ₹ 360 to be paid after two months. Find the rate of interest charged under this scheme :

log_a(m/n) is equal to :

The average of the ages of Sumit, Krishna and Rishabh is 43 years and the average of the ages of Sumit, Rishabh and Rohit is 49 years. If Rohit is 54 years old, what is Krishna'a age ?

A father is three timesas old as his son. After twelve years, his age will be twice as that of hisson then. Find their present ages.

Out of the following statements which one is incorrect?

Solve the following : (-6)^4

6 men or 10 women can reap a field in 15 days, then the number of days that 12 men and 5 women will take to reap the same field is :

Find the minimum and maximum value of 4tan^(2)theta+9cos^(2)theta.

What is the value of x if |x-1|+|x|=2:

A man working 6 hours a day takes 8 days to complete a project. How many hours a day must he work to complete. It in 3 days?

X and Y start walking towards each other at 8 : 00 am at the speeds of 3 km/h and 4 km/h, respectively. They were initially 17.5 km apart. At what time do they meet?

Find the value of x and y in the given equatyion 5 7/x xx y 1/13 = 12:

Study the following graph carefully and answer the questions that follow What is the respective ratio of the amountof profit earnedby companiesA and B in the year 2009 ?

The sum of five number is 215. The average of the first two number is 36.5 and the average of the last two number is 42.5. What is the third number ?

Let f={(1,1),(2,3),(0,−1),(−1,−3)} be a function from Z to Z defined by f(x)=ax+b for some integers a,b. Determine a,b.

Average of 17 observations is 28. The average of first 8 observations is 25 and last 8 observation is 30. find the 9th observation.

If costheta+sectheta=2(0^(0)lethetale90^(@)), thencos100theta+sin100theta=?

Loss incurred by selling an article for Rs 550 is equal to half of the profit gained by selling same article for Rs 850 Find the cost price of this article?

A student scored 85% marks. Total marks were 400. How much did he score ?

(49^(13) - 1) is exactly divisible by

If 2a - 9 = b+ a, then the value of (|a - b| + |b - a|) is :

Find max^(m)&min^(m) value of cos^(2)theta+sintheta

I get profit of 10% on selling a horse for Rs.3100 and a buffalo for Rs 1300 . I incur loss of 10% if I sell horse for Rs 3150 and a buffalo at its C.P. Find the difference C.P. of horse and buffalo.

If (secalpha+tanalpha)(secbeta+tanbeta)(secgamma+tangamma)=(secalpha-tanalpha)(secbeta-tanbeta)(secgamma-tangamma), then each of the side is equal to

If AD, BE, CF are the altitudes of DeltaABC whose orthocentre is H, then C is the orthocentre of :

If a^2+b^2+c^2=1 then ab+bc+ca lies in the interval

Diagonals of a parallelogram are 8 m and 6 m respectively. If one of side is 5m, then the area of parallelogram is:

ABCD is a parallelogram and m angleDAB=30^@, BC=20 cm and AB=20 cm. Find the area of parallelogram:

If area of a regular pentagon is 125sqrt(3) sq cm, how long is its each side?

The value of log_(2)log_(3) log_(5)(125)^(3) is:

Solve the following expressions. (-2)^3 xx 5^2

After an increment of16 (2)/( 3) %the cost of a machine, it becomes Rs. 4900. Find the initial cost of machine.

A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less, he would have made a profit of 10%. The C.P. of the article was

The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs 3. The ratio of two selling prices is

If (a-7)(b-10)(c-12) = 1000, the least possible value of (a+b+c) equals :

A shopkeeper earns a profit of 17% on selling a book at 10% discount on the printed price. The ratio of the C.P to the printed price of the book is