8677 + Interview Questions in Maths in Class 14 Page 125 InterviewSolution

6201.	Using remainder thereom, find the reaminder when(i) x^(4) +x^(3) + x^(2) is divided by (x+2) (ii) x^(2) + x^(3) + 1is divided by (x-3)
Answer» ANSWER :(i) 4 (II) 3

Discussion

6202.	When a number divided by 9235, we get the quotient 888 and the remainder 222, such a least possible number is :
Answer» 820090 8200920 8200680 None of these ANSWER :D

Discussion

6203.	If x+y+z=0, then the value of (x^2y^2+y^2z^2+z^2x^2)/(x^4+y^4+z^4) is :
Answer» 0 `1/2` 1 2 Answer :B

Discussion

6204.	For a alt=0,determine all real roots of theequation x^2-2a\|x-a\|-3a^2=0.
Answer» `(1+sqrt2)a,(-1-sqrt6)a` `(1-sqrt2)a,(sqrt6-1)a` `(1pmsqrt2)a` NONE of these Answer :B

Discussion

6205.	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` None of these Answer :B

Discussion

6206.	A triangle PQR is a right angled triangle at Q. E and F are the mid points of QR and PR respectively. What will be the ratio of the area of quadrilateral PQEF to the area of triangle PQR. एक समकोण त्रिभुज PQR, E पर समकोण है E और F क्रमशः QR और PR के मध्य बिंदु हैं। चतुर्भुज PQEF के क्षेत्रफलऔर त्रिभुज PQR के क्षेत्रफल का अनुपात क्या होगा
Answer» `1:1` `1:2` `2:1` `2:3` ANSWER :A

Discussion

6207.	If f(x)=(x^(2)-x+1)/(x^(2)+x+1) ,then find f(1+b)
Answer» `xle0` `(1)/(3) le K le3` `k ge 5` NONE of these Answer :B

Discussion

6208.	On the set of integers I, if a binary operation 'o' be defined as aob = a - b for every a, b in I, then :
Answer» association LAW HOLDS COMMUTATIVE law holds I is not closed under this operation I is closed under this operation ANSWER :D

Discussion

6209.	If a, b are two perfect square digits and ab is a two digit perfect square number , such that (a xx b) + (a+b) = ab then the value of [ba - (b + a)] is :
Answer» a. `27` B. `b^2` C. `81` d. eitherof (b) or (c) ANSWER :D

Discussion

6210.	98.76 + 24.96 + 215.005 - ? = 309.99
Answer» a. 28.76 b. 29.5 C. 30.0 d 31.5 Answer :C

Discussion

6211.	If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 250%, the resultant fraction is 3/14. What is the original fraction ?
Answer» 1/6 1/4 2/3 3/14 Answer :C

Discussion

6212.	If2^(2x - y) = 16 and2^(x + y) = 32the value of xy is
Answer» `x : 9 =4` `9 : x=4` `x : 17 = y : 7` `6 = y : 6` ANSWER :A

Discussion

6213.	123!Is exactly divisible by (25!)^(x) Find themax valueof x.
Answer» 2 3 4 5 Answer :`=5`

Discussion

6214.	From the Masthead of a ship, the angle of Depression of boat is 60^@, If the mast head is 150 m long , then the distance of the boat from theship is :
Answer» 86.6m 68.6m 66.8m none Answer :A

Discussion

6215.	A parallelogram ABCD has sides AB = 24 cm and AD = 16 cm. The distance between the sides AB and DC is 10 cm. Find the distance between the sides AD and BC.
Answer» 16 cm 18 cm 15 cm 26 cm Answer :C

Discussion

6216.	If (x^2+1/x^2)=6 then the value of (x-1/x) is
Answer» 2 3 -2 both(a) and © Answer :D

Discussion

6217.	a consignment of 15 record players contain 4 defectives .the record player are selected at random one by one and examined. those examined are not put back. calculate the probability that the 9th one examined is the last defective
Answer» `11/195` `17/195` `8/195` `16/195` ANSWER :C

Discussion

6218.	A committee of 5 personsis tobeformedfroma groupof a 6 gentlemen and4 ladies . In howmanywayscanthis bedone Ifthe committee is tobe includedatleastone lady?
Answer» 123 113 246 945 Answer :C

Discussion

6219.	A horse running along a circular track of radius 27 ft passes over in 3 seconds an arc which subtends 70^@ at the centre. Find the distance the horse travels in half a minute.
Answer» SOLUTION :`r=27m, theta=70^@=(7pi)/18` RADIAN `:.s=rtheta=27xx(7pi)/18=33m` (approx) `THEREFORE` DIATANCE passed over by the HORSE in 1/2 minute =`(33)/3xx30=330m` (approx)

Discussion

6220.	Following figure is Pie-char representing item wise cost of manufacturing item wise cost of manufacturing certain product. Study the chart and answer the question. If total cost of manufacturing is 96000, then The difference of cost of material and direct expenses is
Answer» ₹ 26,000 ₹ 10,000 ₹ 26, 500 ₹ 26,880 Answer :B

Discussion

6221.	Following figure is Pie-char representing item wise cost of manufacturing item wise cost of manufacturing certain product. Study the chart and answer the question. Total manufacturing cost is ₹ 96,000. Then, cost of labor is
Answer» ₹ 30,720 ₹ 38,400 ₹ 11,520 ₹ 15, 000 Answer :D

Discussion

6222.	(-2)/3, 5/2, (-1)/6 in descending order can be arranged as :
Answer» `5/2 , -1/6 , -2/3` `-2/3 , 5/2 , -1/6` `-1/6 , 5/2 , -2/3` `5/2 , -2/3 , -1/6` ANSWER :A

Discussion

6223.	From a point O in the interior of a DeltaABC perpendiculars OD, OE and OF are drawn to the sides BC, CA and AB respectively, then which one of the following is true ?
Answer» `AF^(2)+BD^(2)+CE^(2)=AE^(2)+CD^(2)+BF^(2)` `AB^(2)+BC^(2)=AC^(2)` `AF^(2)+BD^(2)+CE^(2)=OA^(2)+OB^(2)+OC^(2)` `AF^(2)+BD^(2)+CE^(2)=OD^(2)+OE^(2)+OF^(2)` Answer :A

Discussion

6224.	ABC is a cyclic triangle and the bisectors of angle BAC, angle ABC and angle BCA meet the circle at P,Q and R respectively. Then the angle angle RQP is:
Answer» `90^(@)-(ANGLEB)/(2)` `90^(@)+(angleB)/(2)` `90^(@)+(ANGLEC)/(2)` `90^(@)+(angleB)/(2)` ANSWER :`90-(angleB)/(2)`

Discussion

6225.	If alpha and beta are roots of ax^(2)+bx+c=0 and a+c=b then the roots are
Answer» ONE root of f(X) must LIE between a and p Both the roots lie between a, p Both the roots are greater than a, p Both the roots are LESS than a, p Answer :A

Discussion

6226.	Rs. 12800 is payable after 3 years. If is to be paid in 3 installments each year. First installment is half of the second & one-third of the third installment. Find each installment if rate of interest is 10% per annum.
Answer» ANSWER :RS. 200, Rs. 4000, Rs. 6000

Discussion

6227.	Find out whether 323 is divisible by 17.
Answer» Solution :STEP 1: `32 3 rArr 32 - 3 XX 5 = 17 ` [`THEREFORE` 5 is the negative osculator of 17] therefore 323 is divisible by 17.

Discussion

6228.	A hotel incures two types of expenses, one which is fixed and others depend upon no. of guests. When there are 10 guests, total expenses of hotel are ₹ 6000. Also when there are 25 guests average expenses per guests are ₹ 360? What is the total expnses of hotel when there are 40 guests?
Answer» 8000 12000 15500 none of these Answer :B

Discussion

6229.	A contract is to be completed in 50 days and 105 men were set to work, each working 8 h a day. After 25 days, 2/5 th of the work is finished. How many additional men be employed, so that the work may be completed on time, each man now working 9 h a day?
Answer» 34 36 35 37 Solution :According to the formula, `(M_(1) D_(1) T _(1))/W_(1) = (M_(2) D_(2) T_(2))/w_(2)`(by TECHNIQUE 1 ) Given `M_(1) = 105, D_(1) =25, T_(1)=8, W_(1)= 2/5` Now, let the additional men be x. Then, `M_(2)=105 +x,T_(2)=9` `D_(2)=25` And `W_(2) =1 - 2/5 + 3/5` On putting these values in the above formula ` (105xx 25 xx 8)/(2//5) = ((105+x)xx25xx9)/(3//5)` `=(105xx8)/2 =((105+x) xx 9)/3` ` = 105 xx 4 = (105 +x) xx3` `= 105xx4 = 105 xx 3 + 3x` `RARR 3x=105` `therefore x = 35` men

Discussion

6230.	If the circumference of a circle is 704 cm, then its area is :
Answer» `49324 m^2` `39424 m^2` `3672 cm^2` `39424 cm^2` ANSWER :D

Discussion

6231.	A number when divided by 361 gives remainder 47. When the same number is divided by 19 then find the remainder?
Answer» 9 1 8 3 Answer :A

Discussion

6232.	An A.P. whose first term is unity and in which the sum of the first half of any even number of terms so that of the secondhalf of the same number of terms is in constant ratio, the common difference 'd' is given by :
Answer» 1 2 3 4 Answer :B

Discussion

6233.	How many different vehicle licence plates can be made if the licences contain 2 letters of the English alphabet followed by a three digit number if repetitions are allowed?
Answer» 54320 67534 23456 575324 Answer :D

Discussion

6234.	A dishonest dealer sells his goods at 10% loss on cost price and uses 30% less weight. What is his profit or loss per cent?
Answer» `28 (4)/(7)` % loss `28 (4)/(7)` % PROFIT `28(3)/(7)` % loss `28 (3)/(7)` % profit ANSWER :B

Discussion

6235.	There are some shepherds and their sheep in a grazing field. The no. of total heads are 60 and total legs are 168 including both men and sheep. The no. of sheep is:
Answer» 18 16 24 36 Answer :C

Discussion

6236.	If x^y = y^x and y = 2x then x is equal to :
Answer» 2 `-2` `1` `-1` ANSWER :A

Discussion

6237.	Find the value of abc, if a, b and c are integers amd a+1/(b+1/c) = (37)/(16)
Answer» 30 24 48 none Answer :A

Discussion

6238.	ab#c = (ab)^c : a#bc = a^b.c, then find the value of 3#45+34#5
Answer» 35287 249237 12345 none of these Answer :B

Discussion

6239.	There are 10 stations in a railway line. The number of different journey tickets that are required by the authorities, is
Answer» a. 90 b. 45 c. 135 d. 100 Answer :A

Discussion

6240.	In the following diagram, ABCD is a trapezium, whereas AD=DC=BC=1 unit and angleADC=angleBCD=108^@. Find the value of the line segment AB.
Answer» A)2 B)`SQRT3` C)`sqrt5-1` D)NONE of these Answer :D

Discussion

6241.	A gear 12 cm in diameter is turning a gear 18 cm in diameter. When the smaller gear has 42 revolutions, how many has the larger one made ?
Answer» 28 20 15 can't be DETERMINED ANSWER :B

Discussion

6242.	A sum of money amounts to Rs. 2400 in 3 years and Rs. 2520 in 4 years on C.I. Find the rate of interest.
Answer» ANSWER :0.05

Discussion

6243.	Mr. Chaalu while travelling by Ferry Queen has travelled the distance one kilometre more, than the fare he paid per km. Initially he had total amount of Rs. 350 in his wallet. Now he is only left with the minimum sum of (if all the distance travelled by him is in integers) :
Answer» 26 8 19 can't be determined Answer :B

Discussion

6244.	If each side of a regular dodecagon is 1 cm, find the area of the dodecagon.
Answer» `3sqrt2-2 SQ.CM` `sqrt3+1 sq. cm` `2sqrt3+1 sq.cm` NONE of these Answer :B

Discussion

6245.	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 anyother 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» a. 5 b. 6 C. 8 d. 11 Answer :C

Discussion

6246.	If the roots are(-3,9), then the highest/lowest value of y will be attained at x equal to
Answer» A)`-27` B)6 C)`-3` D)3 Answer :D

Discussion

6247.	If A has 3 elements and B has 6 elements, then the minimum number of elements in AuuB is :
Answer» 3 6 9 18 Answer :B

Discussion

6248.	If apq=9b and a, b, p, q are positive real numbers, find the minimum value of a^3p+b^3q.
Answer» `6ab^2` `9a^2b` `6a^2b^2` `3sqrt3ab^2` ANSWER :A

Discussion

6249.	If the second and seventh terms of an A.P. are 2 and 22 respectively. Find the sum of first 35 terms:
Answer» 2310 3210 2130 none of these Answer :A

Discussion

6250.	Sudharshan invested Rs. 15000 at interest of 10% per annum for one year. If the interest is compounded every six months, what amount will Sudharashan get at the end of the year?
Answer» ANSWER :RS. 16537.50

Discussion

Explore topic-wise InterviewSolutions in .

Using remainder thereom, find the reaminder when(i) x^(4) +x^(3) + x^(2) is divided by (x+2) (ii) x^(2) + x^(3) + 1is divided by (x-3)

When a number divided by 9235, we get the quotient 888 and the remainder 222, such a least possible number is :

If x+y+z=0, then the value of (x^2y^2+y^2z^2+z^2x^2)/(x^4+y^4+z^4) is :

For a alt=0,determine all real roots of theequation x^2-2a|x-a|-3a^2=0.

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

If f(x)=(x^(2)-x+1)/(x^(2)+x+1) ,then find f(1+b)

On the set of integers I, if a binary operation 'o' be defined as aob = a - b for every a, b in I, then :

If a, b are two perfect square digits and ab is a two digit perfect square number , such that (a xx b) + (a+b) = ab then the value of [ba - (b + a)] is :

98.76 + 24.96 + 215.005 - ? = 309.99

If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 250%, the resultant fraction is 3/14. What is the original fraction ?

If2^(2x - y) = 16 and2^(x + y) = 32the value of xy is

123!Is exactly divisible by (25!)^(x) Find themax valueof x.

From the Masthead of a ship, the angle of Depression of boat is 60^@, If the mast head is 150 m long , then the distance of the boat from theship is :

A parallelogram ABCD has sides AB = 24 cm and AD = 16 cm. The distance between the sides AB and DC is 10 cm. Find the distance between the sides AD and BC.

If (x^2+1/x^2)=6 then the value of (x-1/x) is

a consignment of 15 record players contain 4 defectives .the record player are selected at random one by one and examined. those examined are not put back. calculate the probability that the 9th one examined is the last defective​

A committee of 5 personsis tobeformedfroma groupof a 6 gentlemen and4 ladies . In howmanywayscanthis bedone Ifthe committee is tobe includedatleastone lady?

A horse running along a circular track of radius 27 ft passes over in 3 seconds an arc which subtends 70^@ at the centre. Find the distance the horse travels in half a minute.

Following figure is Pie-char representing item wise cost of manufacturing item wise cost of manufacturing certain product. Study the chart and answer the question. If total cost of manufacturing is 96000, then The difference of cost of material and direct expenses is

Following figure is Pie-char representing item wise cost of manufacturing item wise cost of manufacturing certain product. Study the chart and answer the question. Total manufacturing cost is ₹ 96,000. Then, cost of labor is

(-2)/3, 5/2, (-1)/6 in descending order can be arranged as :

From a point O in the interior of a DeltaABC perpendiculars OD, OE and OF are drawn to the sides BC, CA and AB respectively, then which one of the following is true ?

ABC is a cyclic triangle and the bisectors of angle BAC, angle ABC and angle BCA meet the circle at P,Q and R respectively. Then the angle angle RQP is:

If alpha and beta are roots of ax^(2)+bx+c=0 and a+c=b then the roots are

Rs. 12800 is payable after 3 years. If is to be paid in 3 installments each year. First installment is half of the second & one-third of the third installment. Find each installment if rate of interest is 10% per annum.

Find out whether 323 is divisible by 17.

A hotel incures two types of expenses, one which is fixed and others depend upon no. of guests. When there are 10 guests, total expenses of hotel are ₹ 6000. Also when there are 25 guests average expenses per guests are ₹ 360? What is the total expnses of hotel when there are 40 guests?

A contract is to be completed in 50 days and 105 men were set to work, each working 8 h a day. After 25 days, 2/5 th of the work is finished. How many additional men be employed, so that the work may be completed on time, each man now working 9 h a day?

If the circumference of a circle is 704 cm, then its area is :

A number when divided by 361 gives remainder 47. When the same number is divided by 19 then find the remainder?

An A.P. whose first term is unity and in which the sum of the first half of any even number of terms so that of the secondhalf of the same number of terms is in constant ratio, the common difference 'd' is given by :

How many different vehicle licence plates can be made if the licences contain 2 letters of the English alphabet followed by a three digit number if repetitions are allowed?

A dishonest dealer sells his goods at 10% loss on cost price and uses 30% less weight. What is his profit or loss per cent?

There are some shepherds and their sheep in a grazing field. The no. of total heads are 60 and total legs are 168 including both men and sheep. The no. of sheep is:

If x^y = y^x and y = 2x then x is equal to :

Find the value of abc, if a, b and c are integers amd a+1/(b+1/c) = (37)/(16)

a*b#c = (ab)^c : a#b*c = a^b.c, then find the value of 3#4*5+3*4#5

There are 10 stations in a railway line. The number of different journey tickets that are required by the authorities, is

In the following diagram, ABCD is a trapezium, whereas AD=DC=BC=1 unit and angleADC=angleBCD=108^@. Find the value of the line segment AB.

A gear 12 cm in diameter is turning a gear 18 cm in diameter. When the smaller gear has 42 revolutions, how many has the larger one made ?

A sum of money amounts to Rs. 2400 in 3 years and Rs. 2520 in 4 years on C.I. Find the rate of interest.

Mr. Chaalu while travelling by Ferry Queen has travelled the distance one kilometre more, than the fare he paid per km. Initially he had total amount of Rs. 350 in his wallet. Now he is only left with the minimum sum of (if all the distance travelled by him is in integers) :

If each side of a regular dodecagon is 1 cm, find the area of the dodecagon.

If the roots are(-3,9), then the highest/lowest value of y will be attained at x equal to

If A has 3 elements and B has 6 elements, then the minimum number of elements in AuuB is :

If apq=9b and a, b, p, q are positive real numbers, find the minimum value of a^3p+b^3q.

If the second and seventh terms of an A.P. are 2 and 22 respectively. Find the sum of first 35 terms:

Sudharshan invested Rs. 15000 at interest of 10% per annum for one year. If the interest is compounded every six months, what amount will Sudharashan get at the end of the year?

a consignment of 15 record players contain 4 defectives .the record player are selected at random one by one and examined. those examined are not put back. calculate the probability that the 9th one examined is the last defective

ab#c = (ab)^c : a#bc = a^b.c, then find the value of 3#45+34#5