8677 + Interview Questions in Maths in Class 14 Page 140 InterviewSolution

6951.	A CAT training insititute was established on January 1, 2004 with 3,4,5 and 6 faculty members in the Logical Reasoning (LR), Data Interpretation (DI), English Language and Quantitative Analysis (QA) area respectively, to starts with No faculty member retired or joined the institute in the first three month of the years 2004. In the next four years, the institute recruited one faculty member in each of the four areas. All these new faculty members, who years old at the time of their joining the institute. All of them joined the institute on April 1. During these four years one of the faculty members retired at the age of 60. The following diagream gives the area-wise average age (in terms of member of completed years) of faculty member as on April 1 of 2004, 2005, 2006 and 2007. What was the age of the new faculty member, who joined the faculty of QA, as on April 1, 2007 ?
Answer» 25 26 27 28 Answer :C

Discussion

6952.	What is the perimeter of an equilateral triangle whose are is 4√3 cm^2?
Answer» a. 4 cm B. 3 cm c. 12 cm d. 7 cm Answer :B

Discussion

6953.	A CAT training insititute was established on January 1, 2004 with 3,4,5 and 6 faculty members in the Logical Reasoning (LR), Data Interpretation (DI), English Language and Quantitative Analysis (QA) area respectively, to starts with No faculty member retired or joined the institute in the first three month of the years 2004. In the next four years, the institute recruited one faculty member in each of the four areas. All these new faculty members, who years old at the time of their joining the institute. All of them joined the institute on April 1. During these four years one of the faculty members retired at the age of 60. The following diagream gives the area-wise average age (in terms of member of completed years) of faculty member as on April 1 of 2004, 2005, 2006 and 2007. In which year did the new faculty member join as the faculty of English ?
Answer» 2004 2005 2006 2007 Answer :C

Discussion

6954.	LCM of 2/3, 4/9, 5/6 is:
Answer» `8/27` `20/3` `10/3` `20/27` ANSWER :B

Discussion

6955.	A train travels 75 km in a certain time. If train travels 20% faster than a car but both reach at the sametime becausetherewas a12 (1)/(2)minutehalt for the train . Fine the speedof car and train .
Answer» ANSWER : 60km/h, 72km/h

Discussion

6956.	If Minimum (x,y,z) = Minimum of (xy, yz, zx) Maximum (x,y,z) = Maximum of (x^y , y^z , z^x) Labh (x,y,z) = Average of (x, y , z) Hani (x, y , z) = Modulus of (x - y - z) i.e., \|x - y - z\| The value of Minimum (1, 2, 3) + Maximum (1, 2, 3, is :
Answer» 10 8 12 4 Answer :A

Discussion

6957.	If Minimum (x,y,z) = Minimum of (xy, yz, zx) Maximum (x,y,z) = Maximum of (x^y , y^z , z^x) Labh (x,y,z) = Average of (x, y , z) Hani (x, y , z) = Modulus of (x - y - z) i.e., \|x - y - z\| Labh [Hani (1, 2, 3), Hani (2, 3, 4), Hani (3, 4, 5)] is equal to :
Answer» 4 5 6 can't be DETERMINED ANSWER :B

Discussion

6958.	A sum of money doubles in 3 years at compound interest compounded annually. It will becomes 4 times of itself in:
Answer» a. 12 years b. 9 years c. 6 years d. NONE of these Answer :B

Discussion

6959.	A boat sails 15 km of a river towards upstream in 5 hours how long will it take to cover the same distance downstreamif the speed of current is one fourth the speed of the boat in still water:
Answer» 1.8 h 3 h 4 h 5 h Answer :B

Discussion

6960.	The radius of the base of a right cone is 35 cm and its height is 84 cm. Find : volume
Answer» Solution :VOLUME = `1/3 pir^2h` `1/3 XX (22)/7 xx 35 xx 35 xx 84 = 107800 cm^2`

Discussion

6961.	King Dashrathaof Ayodhya had a rectangularplot of area 9792 m^(2) . He divided it into 4 square shaped plotsby fencing parallel fences to the breadth of the rectangularplot. All the four sons got each square shaped plot.However , same area of plot was still leftwhich could not be formed as a square shaped. So, four more square shaped plots were formed by fencing parallel to the longer side of the original plot.The king gave one smaller square shaped plot to each of his wivesand one of the smaller square shaped plotretained with himself and then nothing left to divide . What is the ratio of the area of larger square shaped plot to the area of the smaller square shaped plot ?
Answer» 17:1 25:9 16:1 can't be determined Answer :D

Discussion

6962.	Quotient of z by 4 is multiplied by thrice the number y.
Answer» 3y//4z 3z//4y 3yz//4 3//4yz Answer :C

Discussion

6963.	King Dashrathaof Ayodhya had a rectangularplot of area 9792 m^(2) . He divided it into 4 square shaped plotsby fencing parallel fences to the breadth of the rectangularplot. All the four sons got each square shaped plot.However , same area of plot was still leftwhich could not be formed as a square shaped. So, four more square shaped plots were formed by fencing parallel to the longer side of the original plot.The king gave one smaller square shaped plot to each of his wivesand one of the smaller square shaped plotretained with himself and then nothing left to divide . What are dimensions of the original plot ?
Answer» 288 m, 34 m 102 m, 96 m 306 m, 32 m 204 m, 48 m Answer :C

Discussion

6964.	If the base radius and the height of a right circular cone are increased by 40% then the percentage increase in volume ( approx ) is :
Answer» `175%` `120%` `64%` `540%` ANSWER :A

Discussion

6965.	There are 4 different monitors and 6 different mother boards. How many different arrangements can be made to purchase a monitor and a motherboard?
Answer» 12 24 18 `6^4` ANSWER :B

Discussion

6966.	The minimum value of the expression a+(1)/(a), a gt0 is :
Answer» 0 1 2 4 Answer :C

Discussion

6967.	A smallest possible number which is divisible by either 3,5 or 7 when represented by only two digits either 0 or 1, then the minimum number of digits required to represent it :
Answer» 6 5 7 can't be DETERMINED ANSWER :C

Discussion

6968.	If tanalpha=(m)/(m+1)andtan beta=(1)/(2m+1), then (alpha+beta)=?
Answer» `(PI)/(3)` `(pi)/(4)` `(pi)/(6)` `(pi)/(2)` ANSWER :D

Discussion

6969.	There is a chord AB of length 12 cm and radius= 10 cm . Twotangent are drawn from external point P to Aand B. Find (i) PA, PB (ii) Area of quadrilateral(iii) Area of Delta PAB
Answer» ANSWER :`27 CM^(2)`

Discussion

6970.	What is the unit digit in
Answer» `(3^(65)X6^(59)X7^(71))`? 6 4 2 Answer :B

Discussion

6971.	Three circles of radii 4 cm, 6 cm and 8 cm touch other pairwise externally. The area of the triangle formed by the line segments joining the centres of the three circle is
Answer» 144√13 SQ. cm 12√105 sq. cm 6√6 sq. cm 24√6 sq. cm Answer :D

Discussion

6972.	ABC is a right angled triangle AB = 3 cm, BC = 5 cm and AC = 4 cm, then the inradius of the circle is :
Answer» 1 cm 1.25 cm 1.5 cm none of these Answer :A

Discussion

6973.	Consider two pointsP1(4,9) andP2(5,12). Write the equation and draw a straight line through these points.
Answer» 2y+3x-2=0 y-3x+3=0 x-3y+3=0 x+2y+4=0 Answer :D

Discussion

6974.	A can finish a work in 14 days at 6 hrs a day. B can finish it in 8 days at 2 hrs a day. Find in how many days they can finish it working together 4 hrs a day.
Answer» ANSWER :`3(9)/25`

Discussion

6975.	Oneside of a rectangular lawn is 12 m and its diagonal is 13 m . Find the area of the field.
Answer» SOLUTION :`d=sqrt (1^2+b^2)implies13=sqrt(12^2+b^2)impliesb=5m`THEREFORE Area=1xxb=12xx5=60m^2`

Discussion

6976.	A and B are two alloys of copper and tin prepared by mixing the respective metals in the ratio of 5 : 3 and5 : 11 respectively. If the alloys A and B are mixed to from a third alloy C with an equal proportion of copper and tin, what is the ratio of alloys A and B in the new alloy C?
Answer» 3:5 4:5 3:2 2:3 Answer :C

Discussion

6977.	If 3tantheta+4=0 where (pi)/(2)lt thetaltpi, then the value of 2cot theta-5costheta-sintheta.
Answer» `-(53)/(10)` `(7)/(10)` `(23)/(10)` `(37)/(10)` ANSWER :A

Discussion

6978.	A vessel contains some litre of pure milk. 5 litre of milk taken out from it and replaced by water. This processis repeated once more. Then the ratio of milk andwater in the result ant mixture becomes 64 : 17. Find the initial quantity of milk.
Answer» ANSWER :45 LT

Discussion

6979.	Sameer spends 24%of his monthly income on food, 15% on children's education. 25% of the remaining is spent on entertainment and 20%on travelling. If he is left with Rs. 10736. Findhis monthly income.
Answer» ANSWER :RS. 32000

Discussion

6980.	If P = abc and Q = uv are three digits and 2 digits two natural numbers respectively, such that u and v must be distinct integers. How many pairs of P and Q are there in total which gives the same result when we multiply abc with uv as the product of cba with vu (i.e., the position of digits is inter changed):
Answer» 2 8 5 can't be determined Answer :B

Discussion

6981.	The value of log_(3) 5 xx log_(25)9 is
Answer» 0 1 2 4 Answer :B

Discussion

6982.	The modulus of the complex number ((2 + isqrt(5)))/(1 + 2sqrt(2i)) is :
Answer» -1 1 `SQRT3` `-sqrt3` ANSWER :B

Discussion

6983.	The product of two consecutive even numbers is 624 then one of the number is :
Answer» 13 25 26 28 Answer :C

Discussion

6984.	In the following figure, if the area of the shaded region (the smaller pentagon) is ((7-3sqrt5)/2) sq. cm, Find the area of the larger regular pentagon. (##AHT_SKV_QCT_C12_E07_097_Q01.png" width="80%">
Answer» 1 sq. CM `((47+21sqrt5)/2)` sq. cm `((7+3sqrt5)/2)` sq. cm none of these Answer :A

Discussion

6985.	If ab=25, then the minimum value of a+b is :
Answer» 10 8 24 16 Solution :MINIMUM VALUE of (a+b) can be OBTAINED when a=b then a+b=5+5=10 (SINCE,ab=25 and a=b)

Discussion

6986.	Pandavas won a hen in the war of the Mahabharat. They brought it on the Ist January , 2002. This hen gave birth to the 7 new hens on the very first day. After it every new hen irrespective of its age everyday gave birth (only once in a lifetime) to 7 new hens. This process continued throughout the year, but no any hen had been died so far. On the 365th day all the Pandav shared equally all the hens among all the five brothers. The remaining (if these can not be shared equally) hens were donated to Krishna. The number of hens which the Krishna had received is :
Answer» 3 2 can't be DETERMINED NONE of these ANSWER :A

Discussion

6987.	If D, E and F are respectively the mid - points of sides BC, AC and AB of a DeltaABC. If EF = 3cm, FD=4cm and AB=10 cm, then DE, BC and CA respectively will be equal to :
Answer» 6, 8 and 20 CM 4, 6 and 8 cm 5, 6 and 8 cm `(10)/(3)`, 9 and 12 cm Answer :C

Discussion

6988.	Find the sum of the AP 13,15,17…..99:
Answer» 2464 2500 1122 1580 Answer :A

Discussion

6989.	Jhun Jhunwala makes 1000 toys and incurs a cost of ₹ 1.2 for each toy. He marks-up die price in such a way that if he sells only 70% of the manufactured toys he will realize 16.66% overall profit. He sells only 750 articles at the marked price, since rest of the toys are found to be defective, so can’t be sold. What is the net profit or loss of Jhun Jhunwala?
Answer» `14.44%` LOSS `25%` PROFIT `33.33%` profit none of these Answer :B

Discussion

6990.	Convert (3C8.08)_(16) to decimal.
Answer» SOLUTION :

Discussion

6991.	If f(x) and g(x) are odd functions of x, then which of the following is true?
Answer» f + G is ODD, FG is odd f + g is odd, fg is even f + g is even, fg is odd f + g is even, fg is even Answer :B

Discussion

6992.	The remainder when (8881)^(9999) is divided by 77 is :
Answer» 1 2 3 none of these Answer :D

Discussion

6993.	A bag contain 378 coins, Rs. 1, 50P and 25P. The ratio of there value is 13:11: 7. Then find the number of 50 P coins.
Answer» 132 130 61 65 Answer :A

Discussion

6994.	In the given figure AB, CD and EF are three towers. The angle of elevation of the top of the tower CD from the top of the tower AB is 60^(@) and that from EF is 30^(@). BD=2sqrt3m, CD:EF=5:4 and DF=4m.
Answer» 6 m 12 m 7 m none of the above Answer :C

Discussion

6995.	For the quadratic equation x^2+6xx-16=0, what will be the position of the axis of symmetry of the quadratic graph with reference to the X-axis?
Answer» 2 UNITS left 3 units right 3 units left con't be determined Answer :C

Discussion

6996.	On selling 25 articles a person incurred loss equal to cost price of 5 articles. Find loss percentage.
Answer» ANSWER :20 % PROFIT

Discussion

6997.	If n, (n > 5) things are arranged in a circular order, the number of ways of selecting three of the things so that no two of which are next to each other is
Answer» `N(n-2)(n-3)` `1/6 n(n-4)(n-5)` `1/3 (n^2 +3n-5)` NONE of these Answer :B

Discussion

6998.	A sector of the circle measures 19^(@) ( see the figure ) . Using only a scale , a compass and a pencil , is it possible to split the circle into 360 equal sector of 1^(@) central angle ?
Answer» YES No Yes, only if RADIUS is KNOWN can't be determined Answer :A

Discussion

6999.	Find the unit digit of (33)^(123)
Answer» Solution :SINCE we KNOW that the unit digit of `(33)^123` will be same as `(3)^123`. Now the unit-digit of `3^123` will be 7 since will be equal to the unit digit of `(3)^3`. Thus the unit digit of `(3)^123` is 7.

Discussion

7000.	Aprajita multiplies a number by 72 instead of 27, and got the answer by 23175 more than the actual number. The actual number was :
Answer» 515 4615 550 None of these

Discussion

Explore topic-wise InterviewSolutions in .

What is the perimeter of an equilateral triangle whose are is 4√3 cm^2?

LCM of 2/3, 4/9, 5/6 is:

A train travels 75 km in a certain time. If train travels 20% faster than a car but both reach at the sametime becausetherewas a12 (1)/(2)minutehalt for the train . Fine the speedof car and train .

If Minimum (x,y,z) = Minimum of (xy, yz, zx) Maximum (x,y,z) = Maximum of (x^y , y^z , z^x) Labh (x,y,z) = Average of (x, y , z) Hani (x, y , z) = Modulus of (x - y - z) i.e., |x - y - z| The value of Minimum (1, 2, 3) + Maximum (1, 2, 3, is :

If Minimum (x,y,z) = Minimum of (xy, yz, zx) Maximum (x,y,z) = Maximum of (x^y , y^z , z^x) Labh (x,y,z) = Average of (x, y , z) Hani (x, y , z) = Modulus of (x - y - z) i.e., |x - y - z| Labh [Hani (1, 2, 3), Hani (2, 3, 4), Hani (3, 4, 5)] is equal to :

A sum of money doubles in 3 years at compound interest compounded annually. It will becomes 4 times of itself in:

A boat sails 15 km of a river towards upstream in 5 hours how long will it take to cover the same distance downstreamif the speed of current is one fourth the speed of the boat in still water:

The radius of the base of a right cone is 35 cm and its height is 84 cm. Find : volume

Quotient of z by 4 is multiplied by thrice the number y.

If the base radius and the height of a right circular cone are increased by 40% then the percentage increase in volume ( approx ) is :

There are 4 different monitors and 6 different mother boards. How many different arrangements can be made to purchase a monitor and a motherboard?

The minimum value of the expression a+(1)/(a), a gt0 is :

A smallest possible number which is divisible by either 3,5 or 7 when represented by only two digits either 0 or 1, then the minimum number of digits required to represent it :

If tanalpha=(m)/(m+1)andtan beta=(1)/(2m+1), then (alpha+beta)=?

There is a chord AB of length 12 cm and radius= 10 cm . Twotangent are drawn from external point P to Aand B. Find (i) PA, PB (ii) Area of quadrilateral(iii) Area of Delta PAB

What is the unit digit in

Three circles of radii 4 cm, 6 cm and 8 cm touch other pairwise externally. The area of the triangle formed by the line segments joining the centres of the three circle is

ABC is a right angled triangle AB = 3 cm, BC = 5 cm and AC = 4 cm, then the inradius of the circle is :

Consider two pointsP1(4,9) andP2(5,12). Write the equation and draw a straight line through these points.

A can finish a work in 14 days at 6 hrs a day. B can finish it in 8 days at 2 hrs a day. Find in how many days they can finish it working together 4 hrs a day.

Oneside of a rectangular lawn is 12 m and its diagonal is 13 m . Find the area of the field.

A and B are two alloys of copper and tin prepared by mixing the respective metals in the ratio of 5 : 3 and5 : 11 respectively. If the alloys A and B are mixed to from a third alloy C with an equal proportion of copper and tin, what is the ratio of alloys A and B in the new alloy C?

If 3tantheta+4=0 where (pi)/(2)lt thetaltpi, then the value of 2cot theta-5costheta-sintheta.

A vessel contains some litre of pure milk. 5 litre of milk taken out from it and replaced by water. This processis repeated once more. Then the ratio of milk andwater in the result ant mixture becomes 64 : 17. Find the initial quantity of milk.

Sameer spends 24%of his monthly income on food, 15% on children's education. 25% of the remaining is spent on entertainment and 20%on travelling. If he is left with Rs. 10736. Findhis monthly income.

The value of log_(3) 5 xx log_(25)9 is

The modulus of the complex number ((2 + isqrt(5)))/(1 + 2sqrt(2i)) is :

The product of two consecutive even numbers is 624 then one of the number is :

In the following figure, if the area of the shaded region (the smaller pentagon) is ((7-3sqrt5)/2) sq. cm, Find the area of the larger regular pentagon. (##AHT_SKV_QCT_C12_E07_097_Q01.png" width="80%">

If ab=25, then the minimum value of a+b is :

If D, E and F are respectively the mid - points of sides BC, AC and AB of a DeltaABC. If EF = 3cm, FD=4cm and AB=10 cm, then DE, BC and CA respectively will be equal to :

Find the sum of the AP 13,15,17…..99:

Convert (3C8.08)_(16) to decimal.

If f(x) and g(x) are odd functions of x, then which of the following is true?

The remainder when (8881)^(9999) is divided by 77 is :

A bag contain 378 coins, Rs. 1, 50P and 25P. The ratio of there value is 13:11: 7. Then find the number of 50 P coins.

In the given figure AB, CD and EF are three towers. The angle of elevation of the top of the tower CD from the top of the tower AB is 60^(@) and that from EF is 30^(@). BD=2sqrt3m, CD:EF=5:4 and DF=4m.

For the quadratic equation x^2+6xx-16=0, what will be the position of the axis of symmetry of the quadratic graph with reference to the X-axis?

On selling 25 articles a person incurred loss equal to cost price of 5 articles. Find loss percentage.

If n, (n > 5) things are arranged in a circular order, the number of ways of selecting three of the things so that no two of which are next to each other is

A sector of the circle measures 19^(@) ( see the figure ) . Using only a scale , a compass and a pencil , is it possible to split the circle into 360 equal sector of 1^(@) central angle ?

Find the unit digit of (33)^(123)

Aprajita multiplies a number by 72 instead of 27, and got the answer by 23175 more than the actual number. The actual number was :