8677 + Interview Questions in Maths in Class 14 Page 132 InterviewSolution

6551.	Rohan invested Rs. 80000 at the rate 10% per annum for one year. If the interest is compounded halfyearly, then the amount received by Rohan at the end of the year will be :
Answer» (a)RS 88200 (B)rs 88000 (C)rs90000 (d)rs 100000 Answer :Rs. 88200

Discussion

6552.	Two boats starts at the same instant to cross a river W metre wide. The faster boat reaches the other bank and returns back immediately. What are the distances travelled by them when they meet, where the speeds of these boats are b_1&b_2?
Answer» `(2W)/(b_1+b_2)` , `(2W)/(b_1-b_2)` `(2W)/(b_1+b_2),b_1,`(2W)/(b_1+b_2),b_2` `(W)/(b_1+b_2) (b_1) DATA insufficient Answer :B

Discussion

6553.	Howmanydifferentnumbersof 3digits can beformedwiththedigits ,1,2,4,5,7,8, noneof thedigitsbeingrepeatedin anyof thenumberssoformed?
Answer» 120 1200 180 270 Answer :A

Discussion

6554.	A natural number N is such that N = a^2 = b^4 = c^8 , where a, b, c are distinct positive integers, then the least possible value of N is:
Answer» 729 1000 256 none of these Answer :C

Discussion

6555.	The value of 8! div 5! is :
Answer» 4 16 2 336 Answer :D

Discussion

6556.	How many different signals, can be made by 5 flags from 8 flags of different colours?
Answer» (1) 6270 (2) 1680 (3) 20160 (4) 6720 Answer :D

Discussion

6557.	When a certain number is divided by a certain divisor leaves remainder 43 and another no is divided by same divisor leaves remainder 37. Is sum of both number is divided by samedivisor leaves remainder 13. find divisor .
Answer» 65 75 77 87 Answer :`=5`

Discussion

6558.	A tea producer mixed two types of tea first of 18Rs /kg and second of 20Rs/kg in ratio of 5 : 3 and sold the mixture at the rate of 21Rs/kg. Find his profit %.
Answer» ANSWER :0.12

Discussion

6559.	Incentre of a triangle lies in the interior of :
Answer» an ISOSCELES triangle only a right angled triangle only any EQUILATERAL triangle only any triangle Answer :D

Discussion

6560.	If the function f: R->R be such that f(x) = x-[x], where [x] denotes the greatest integer less than or equal to x, then f^-1(x) is
Answer» [X]-x 1/x-[x] not defined none of these Answer :C

Discussion

6561.	What should be the minimum markup percentage such that after giving a discount of 66(2)/3 % there will not be a loss?
Answer» `200%` `133.33%` `100%` `150%` ANSWER :A

Discussion

6562.	The roots of a^(2)x^(2)+abx+b^(2),ane0 are :
Answer» equal non-real unequal NONE of these Answer :C

Discussion

6563.	Two cards are drawn at random from a pack of 52 cards. What is the probalbility that either both are black or both are jacks ?
Answer» `65/121` `55/221` `17/221` none Answer :B

Discussion

6564.	If l, b, p be the length, breadth and perimeter of a rectangle and b, l, p are in GP (in order), then l/b is:
Answer» 2:1 `(SQRT3-1):1` `(sqrt3+1):1` `2:sqrt3` ANSWER :C

Discussion

6565.	If P = (101)^(100) and Q = (100)^(101), then the correct relation is:
Answer» `P gt Q` `P LT Q` `P = Q` `P = 11/10 Q` ANSWER :B

Discussion

6566.	The only library of a business school has total 91 books that are shared among all the students in such a way that every two students share a book on Organizational Behaviour, every three students share a book on Financial Management and every four students share a book on Operations Research. The number of students in the school is :
Answer» 81 84 48 can't be determined Answer :B

Discussion

6567.	A man sells chocolate which are in the boxes. Only either full box or half a box of chocolate can be purchased from him. A customer comes and buys half the number of boxes which the seller had plus half a box more. A second customer comes and purchases half the remaining number of boxes plus half a box. After this the seller is left with no chocolate boxes. How many chocolate boxes the seller had initially ?
Answer» 2 3 4 3.5 Answer :B

Discussion

6568.	If cos^(4)theta-sin^(4)theta=(2)/(3), then the value of 1-2sin^(2)theta is
Answer» `(4)/(3)` 0 `(2)/(3)` `(1)/(3)` Answer :C

Discussion

6569.	Difference between the interior and the exterior angles of regular polygon is 60^(@). The number of sides in the polygon is :
Answer» 5 6 8 9 Answer :B

Discussion

6570.	If a Quadrilateral having sidesAB = 6 , BC = 7, CD = 5 . FindAD , if diagonals intersect at right angle
Answer» Answer :`AD = 2 SQRT(3) CM`

Discussion

6571.	Simplify the following expressions : 9/5 of (35/9) x (36/74)
Answer»

Discussion

6572.	If 123! is divisible by12^(n)then find the maximum value of n.
Answer» 58 50 59 60 Answer :a

Discussion

6573.	The price of a book varies directly as the no. of pages in it and inversely as the time periods in years that have elapsed since the date of purchasing. Two books cost the same, however, the no. of pages in th first book is triple of the second book. If the first book is sold on 18 years ago, how long ago was the second book sold?
Answer» 54 years 9 years 6 years 3 years Answer :C

Discussion

6574.	The unit digit of 2^(3^4) xx 3^(4^5) xx 4^(5^6) xx 5^(6^7) xx 6^(7^8) xx 7^(8^9) is :
Answer» 0 5 can't be DETERMINED NONE of these ANSWER :A

Discussion

6575.	Find the number of terms in 2x^(2)-(3)/(x)+(5)/(x^(2))+9.
Answer» 1 2 3 4 Answer :D

Discussion

6576.	Find the value of a . if log_(a)128 = 7.
Answer» 2 3 4 5 Answer :`7/3`

Discussion

6577.	log_(10)10+log_(10)10^(2)+ . . .+log_(10)10^(n)
Answer» PRIME number composite number a MULTIPLE of 10 none Answer :B

Discussion

6578.	The SP of an article is Rs. 3200 and the profit per cent is 33 1/3%. Find the cost price.
Answer» ₹ 20000 ₹ 2000 ₹ 2400 ₹ 3000 Answer :C

Discussion

6579.	The solution of the equations (3x-y+1)/(3)=(2x+y+2)/(5)=(3x+2y+1)/(6) given by :
Answer» `x=2, y=1` `x=1, y=1` `x=-1, y=-1` `x=1, y=2` ANSWER :B

Discussion

6580.	A box contain 420 coin of 1 rupee, 50 paise and 20 paise coin. The ratio of their values is 13 : 11 : 7. The number of 50 paise coins is
Answer» 42 78 66 132 Answer :C

Discussion

6581.	Approximately wha was the total number of candidates qualified from Delhi in 2002 and 2006 together?
Answer» 27250 25230 30150 26250 Answer :D

Discussion

6582.	A sum of money doubles itself in 12 years. In how many years would it treble itself ?
Answer» 36 YEARS 18 years 24 years 15 years Answer :C

Discussion

6583.	If A = {S} , whichof the followingis a correct statement ?
Answer» `S in A` `SsubsetA` `{S}INA` A = S Answer :A

Discussion

6584.	If area of An Trapezium(is oceles) is 120 cm^(2) height = 8 cm find its diagonal
Answer» ANSWER :`2 SQRT(137)` CM

Discussion

6585.	If 10-10 elements are transferred from Set A to Set B, then Set B to Set C and then from Set C to Set A but the received elements can not be transferred to the next set. E.g. the elements obtained from Set A can not transferred to C through Set B. The average of which Set is maximum :
Answer» A B C can't say Answer :D

Discussion

6586.	A tank is connected with 8 pipes. Some of them are inlet pipes and rest work as outlet pipes. Each of the inlet pipe can fill the tank in 8 hours, individually, while each of those that empty the tank i.e outlet pipe, can empty it in 6 hours individually. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are inlet pipes?
Answer» 2 4 5 6 Answer :B

Discussion

6587.	Multiply 38 by 32.
Answer» Solution :Step 1: Multiply the unit digits as `8 xx 2 = 16` Step 2: Add 1 to the left digits, then multiply this INCREASED number by the orginal digits i.e, `3 xx(3+1) = 12`. Thus, we get `38 xx 32 = 1216

Discussion

6588.	There are two tangents AT and BT on a circle of radius 30 cm. A line OT(=50 cm) connects the centre O with the external point T. another tangent CD touches the circle at P such that C and D lie on the line segment AT and BT respectively. Points P and T lie on the same side of the circle. find the maximum possible area (in sq. cm) of the circle inscribed in the triangle CDT.
Answer» `56.25pi` `49pi` `42.25pi` NONE of these Answer :A

Discussion

6589.	The length of a rectangle is thrice its breath, and its perimeter is 104 meters. What is its area?
Answer» 507 SQ. m. 508 sq. m. 509 sq. m. 510 sq. m. Solution :Total number of identical chocolates=12 In the first round total number of chocolates to be given to the 3 kids=`3xx5=15` Since there are fewer chocolates available than the REQUIRED number of chocolates, so there is no WAY to distribute the given chocolates. Thus the required number of ways=0

Discussion

6590.	Two circles of radii 4 cm and 9 cm respectively touch each other externally at a point and a common tangent touches them at the points P and Q respectively. Then the area of a square with one side PQ, is
Answer» 97 sq. CM 194 sq. cm 72 sq. cm 144 sq. cm Answer :B

Discussion

6591.	An article was sold at 11(1)/(9)% profit. Had it purchased at Rs 1300 less and sold at Rs 3000 less there would have been loss of9(1)/(11)% Find C.P. of article?
Answer» ANSWER :9000RS

Discussion

6592.	What is the value of [1/((1 - tan theta ))] - [1/((1 - tan theta ))]?
Answer» `TAN theta ` `cot 2 theta ` ` tan 2 theta ` ` cot theta ` ANSWER :3

Discussion

6593.	A sum of money placed at compound interest doubles itself in 3 years. In how many years will it amount to four times itself?
Answer» ANSWER :6 YEARS

Discussion

6594.	For every p, q positive integers at x = 0 or x = 1, the valid relation can be :
Answer» 1.`p^xq^(1-x) = QX + p^(1-x)` 2.`p^xq^(1-x) = px + Q^(1-x)` 3.`p^xq^(1-x) = p^(1-x)qx` 4.either (2) or (3) Answer :B

Discussion

6595.	Factorization of Polynomial or expression- xa + ya + xz + yz
Answer» ANSWER :`(x+y) (a+z)`

Discussion

6596.	Thereis a vast grassy farm in which there is a rectangularbuilding of the farm-house whose length and breadth is 50 m and 40m respectively . A horse is tethered at a corner of the house with a tether of 80 m long. What is the maximum area that the horse can graze ?
Answer» `5425pi` `5245pi` `254pi` NONE of these Answer :A

Discussion

6597.	""^(7) P_3 =n ""^(7)C_3findthe valueof n .
Answer» 4 8 6 9 Answer :C

Discussion

6598.	A circular ring with centre O is kept in the vertical position by two weightless thin strings TP and TQ attached to the ring at P and Q. The line OT meets the ring at E whereas a tangential string at E meets TP and TQ at A and B, respectively. If the radius of the ring is 5 cm and OT = 13 cm, then what is the length of AB?
Answer» 10/3 CM 20/3 cm 10 cm 40/3 cm Answer :B

Discussion

6599.	If log_mn=p, then:
Answer» `m^n=p` `p^n=m` `m^p=n` `n^n=m` ANSWER :C

Discussion

6600.	Each edge of a cube is equally dividedinton parts , thus there are totaln^(3) smallercubes . Let , N_0 toNumber of smaller cubes with no exposed surfaces N_1 to Number of smaller cube with one exposed surface N_2 to Number of smaller cube with two exposed surface N_3to Number of smaller cubes with three exposed surfaces What is the number of smaller cubes with one exposed surface (N_1) ?
Answer» `4(n-3)^3` `6(n-2)^2` `(n-3)^2` `(n+1)^2` Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

Rohan invested Rs. 80000 at the rate 10% per annum for one year. If the interest is compounded halfyearly, then the amount received by Rohan at the end of the year will be :

Two boats starts at the same instant to cross a river W metre wide. The faster boat reaches the other bank and returns back immediately. What are the distances travelled by them when they meet, where the speeds of these boats are b_1&b_2?

Howmanydifferentnumbersof 3digits can beformedwiththedigits ,1,2,4,5,7,8, noneof thedigitsbeingrepeatedin anyof thenumberssoformed?

A natural number N is such that N = a^2 = b^4 = c^8 , where a, b, c are distinct positive integers, then the least possible value of N is:

The value of 8! div 5! is :

How many different signals, can be made by 5 flags from 8 flags of different colours?

When a certain number is divided by a certain divisor leaves remainder 43 and another no is divided by same divisor leaves remainder 37. Is sum of both number is divided by samedivisor leaves remainder 13. find divisor .

A tea producer mixed two types of tea first of 18Rs /kg and second of 20Rs/kg in ratio of 5 : 3 and sold the mixture at the rate of 21Rs/kg. Find his profit %.

Incentre of a triangle lies in the interior of :

If the function f: R->R be such that f(x) = x-[x], where [x] denotes the greatest integer less than or equal to x, then f^-1(x) is

What should be the minimum markup percentage such that after giving a discount of 66(2)/3 % there will not be a loss?

The roots of a^(2)x^(2)+abx+b^(2),ane0 are :

Two cards are drawn at random from a pack of 52 cards. What is the probalbility that either both are black or both are jacks ?

If l, b, p be the length, breadth and perimeter of a rectangle and b, l, p are in GP (in order), then l/b is:

If P = (101)^(100) and Q = (100)^(101), then the correct relation is:

If cos^(4)theta-sin^(4)theta=(2)/(3), then the value of 1-2sin^(2)theta is

Difference between the interior and the exterior angles of regular polygon is 60^(@). The number of sides in the polygon is :

If a Quadrilateral having sidesAB = 6 , BC = 7, CD = 5 . FindAD , if diagonals intersect at right angle

Simplify the following expressions : 9/5 of (35/9) x (36/74)

If 123! is divisible by12^(n)then find the maximum value of n.

The unit digit of 2^(3^4) xx 3^(4^5) xx 4^(5^6) xx 5^(6^7) xx 6^(7^8) xx 7^(8^9) is :

Find the number of terms in 2x^(2)-(3)/(x)+(5)/(x^(2))+9.

Find the value of a . if log_(a)128 = 7.

log_(10)10+log_(10)10^(2)+ . . .+log_(10)10^(n)

The SP of an article is Rs. 3200 and the profit per cent is 33 1/3%. Find the cost price.

The solution of the equations (3x-y+1)/(3)=(2x+y+2)/(5)=(3x+2y+1)/(6) given by :

A box contain 420 coin of 1 rupee, 50 paise and 20 paise coin. The ratio of their values is 13 : 11 : 7. The number of 50 paise coins is

Approximately wha was the total number of candidates qualified from Delhi in 2002 and 2006 together?

A sum of money doubles itself in 12 years. In how many years would it treble itself ?

If A = {S} , whichof the followingis a correct statement ?

If area of An Trapezium(is oceles) is 120 cm^(2) height = 8 cm find its diagonal

If 10-10 elements are transferred from Set A to Set B, then Set B to Set C and then from Set C to Set A but the received elements can not be transferred to the next set. E.g. the elements obtained from Set A can not transferred to C through Set B. The average of which Set is maximum :

Multiply 38 by 32.

The length of a rectangle is thrice its breath, and its perimeter is 104 meters. What is its area?

Two circles of radii 4 cm and 9 cm respectively touch each other externally at a point and a common tangent touches them at the points P and Q respectively. Then the area of a square with one side PQ, is

An article was sold at 11(1)/(9)% profit. Had it purchased at Rs 1300 less and sold at Rs 3000 less there would have been loss of9(1)/(11)% Find C.P. of article?

What is the value of [1/((1 - tan theta ))] - [1/((1 - tan theta ))]?

A sum of money placed at compound interest doubles itself in 3 years. In how many years will it amount to four times itself?

For every p, q positive integers at x = 0 or x = 1, the valid relation can be :

Factorization of Polynomial or expression- xa + ya + xz + yz

Thereis a vast grassy farm in which there is a rectangularbuilding of the farm-house whose length and breadth is 50 m and 40m respectively . A horse is tethered at a corner of the house with a tether of 80 m long. What is the maximum area that the horse can graze ?

""^(7) P_3 =n ""^(7)C_3findthe valueof n .

If log_mn=p, then: