8677 + Interview Questions in Maths in Class 14 Page 103 InterviewSolution

5101.	What is the difference between the total number of men and the total number of women workingin night shifts from all the industries together?
Answer» 13254 13542 13524 13363 Answer :A::B::C::D

Discussion

5102.	Answer these questions independently of each other 10 students took a test and each one got the distinct score. In how many ways can three distinct prizes be given?
Answer» 270 360 720 540 Answer :C

Discussion

5103.	Solve the following : (-5)^3
Answer»

Discussion

5104.	sachin tendulkar has a certain average oh 11 innings. in the 12th innngs he scores 120 runs and there by increases his average by 5 runs his new average is.
Answer» 62 66 60 65 Answer :B

Discussion

5105.	Let a,b and c be the sides of a triangle. No two of them are equal and lambda epsilonR. If the roots of the equation x^2+2(a+b+c)x+3lambda(ab+bc+ca)=0 are real, then
Answer» `lambdalt4/3` `lambdagt5/3` `1/3ltlambdalt5/3` `4/3ltlambdalt5/3` ANSWER :A

Discussion

5106.	A student appeared in the Mock CAT. The test paper contained 3 sections namely QA, DI and VA. The percentage marks in VA was equal to the average of the percentage marks in all the percentage marks of QA we get the percentage marks of DI. The percentage marks in VA scored by the student could be :
Answer» 48 66 69 81 Answer :B

Discussion

5107.	Discriminant of the equation -3x^(2)+2x-8=0 is :
Answer» `-92` `-29` 39 49 Answer :A

Discussion

5108.	The sum of four integers in A.P. is 24 and their product is 945. Find the product of the smallest and greatest integers :
Answer» 30 27 35 39 Answer :B

Discussion

5109.	If the ratio of diagonalsof two squares is 3:2 then the ratio of the areas of two squares is :
Answer» `4:5` `6:5` `9:4` `SQRT3:SQRT2` ANSWER :C

Discussion

5110.	7cosectheta+24sectheta=25cosecthetasectheta, then costheta=?
Answer» `(5)/(24)` `(7)/(24)` `(11)/(24)` `(13)/(24)` Answer :B::D

Discussion

5111.	Due to an increase of 30% in the price of eggs, 3 eggs less are available for ₹ 9.10. The present rate per egg is :
Answer» 91 paise 78 paise 48 paise 84 paise ANSWER :A

Discussion

5112.	If m,n are the positive integers (n gt 1) such that m^n = 121 , then value of (m-1)^(n +1) is :
Answer» 12321 1 729 11 Answer :C

Discussion

5113.	A boat covers a distance of 30 km downstream in 2 h while it takes 6 h to cover the same distance upstream.What is the speed of the boat (in km/h)?
Answer» 5 `7.5` `13` `10` ANSWER :D

Discussion

5114.	A rectangular grass plot 80 m xx 60 m has two roads, each 10 m wide, running in the middle of it, one parallel to length and the other parallel to breadth.Find the area of the roads.
Answer» RS. 380 Rs. 385 Rs. 400 none of these ANSWER :A

Discussion

5115.	If a^(3) + b^(3) + c^(3)=3abc and a, b , c are distinct numbers. Which option is correct? (a) a+b+c= 0 (b) a= b= c
Answer» ANSWER :can't be ZERO

Discussion

5116.	The sum of income of A, B, C are Rs. 30000. A, B, and C spend 75%, 70% and 62% of their income. If their savings are in ratio 20 : 21 : 19. Then what are their salary?
Answer» `1200, 10500, 7500` `12000, 10000, 8000` `10000, 12000, 8000` `8000, 16000, 6000` ANSWER :A

Discussion

5117.	2(x^2+1/x^2)-3(x+1/x)-1=0:
Answer» `2,1/2` `-2,4` `2,3/2` NONE ANSWER :A

Discussion

5118.	Find the total number of quadrilaterals when 8 parallel lines intersect another set of 15 parallel lines.
Answer» 3636 2940 1990 3654 Answer :B

Discussion

5119.	In the given figure, triangleABC is an isosceles triangle in which AB = AC and angleABC = 50^(@) , the angleBDC is equal to
Answer» `60^@` `10^@` `80^@` `90^(@)` Answer :C

Discussion

5120.	A man spends an average of र1694. 70 per month for the first 7 month and र1810.50 per month for the next 5 months. His monthly salary if he saves र 3084.60 during the whole year is
Answer» र2400 र 300 र 1000 र 2000 Answer :D

Discussion

5121.	If (x+1) and (x-2) are factors of x^(3)+ax^(2)-bx-6, then find the values of a and b respectively.
Answer» 2,3 3,5 5,3 2,5 Answer :D

Discussion

5122.	Which of the four factories has recorded the maximum percentage growth in production of cement from 2008 to 2009?
Answer» D A B C Answer :D

Discussion

5123.	If the quadratic graph intersects both the X and Y axes at the same point, which of the following is not correct?
Answer» ROOTS are imaginary Roots are NEITHER NEGATIVE nor positive b = C = 0 Graph may OPEN in either side-up and down Answer :A

Discussion

5124.	Let f(x) be a cubic polynomial which is having local maximum at (1,2) and f'(x) has local extrema at x=0 .If f(0)=1 then
Answer» Only(II) and (IV) are true Only (i) and (III) are false All of THEFOUR statements are true None of the four statements are true Answer :C

Discussion

5125.	A milkman has two types of milk. In the first container the percentage of milk is 80% and in the second container the percentage of milk is 60%. If he mixes 28 liters of milk of the first container to the 32 liters of milk of the second container, then percentage of milk in the mixture is :
Answer» 69.99 69.33 72.5 75.2 Solution : So,`(80-60)XX7/(7+8) = 20xx7/(15) = 69.33`

Discussion

5126.	Three types of rice whose rates are ₹38,₹43 and ₹49 per kg are blended together to make a 15 kg of new blend of rice in which there are 8 kgs,4kgs and 3 kgs of the rerspective types of rice .tHe average price of new blend of rice is:
Answer» `₹41.53` `₹43` `₹40` `₹43.3` ANSWER :A

Discussion

5127.	C is twice efficient as A. B takes thrice as many days as C. A takes 12 days to finish the work alone. If they work in pairs (ie, AB, BC, CA) starting with AB on the first day then BC on the second day and AC on the third day and so on, then how many days are required to finish the work?
Answer» `6 1/5` DAYS 4.5 days `5 1/9` days 8 days Answer :C

Discussion

5128.	At a casino in Mumbai, there are 3 tables A, B and C. The pay offs at A is 10:1 at B is 20:1 and at C is 30:1.If a man bets Rs. 200 at each table and with at two of the tables, what is the maximum and minimum difference between his earnings can be?
Answer» RS. 2500 Rs. 2000 Rs. 4000 None of these Answer :C

Discussion

5129.	If P, R, T are the area of a Parallelogram, a rhombus and a triangle standing on the same base and between the same parallels, which of the following is true ?
Answer» `R LT P lt T` `P GT R gt T` `R = P = T` `R =P =2T` Answer :D

Discussion

5130.	Darwin Miya has 6 kinds of fruits in large amount and has suffcient number of indentical bixes to store the fruits. He can put at least 10 and atmost 15 fruits in any box and he put only eone kinds of fruits in a box. Further not more than 5 boxes can contain same number of fruits. Maximum number of fruits that he put in the boxes is :
Answer» 325 375 75 can't be DETERMINED ANSWER :B

Discussion

5131.	If tan theta=2-sqrt3, then tan(90-theta) is equal to :
Answer» `2+sqrt3` `2-sqrt3` `3+sqrt2` `3-sqrt2` ANSWER :A

Discussion

5132.	A milkman purchases 10 litres of milk at ₹ 7 per litre and forms a mixture by adding freely available water which constitutes 16.66% of the mixture. Later on he replaced die mixture by some freely available water and thus the ratio of milk is to water is 2:1. He then sold the new mixture at cost price of milk , then what is the profit percentage?
Answer» 0.68 0.34 0.4 none of these ANSWER :A

Discussion

5133.	During our campaign against child labour we have found that is three glass making factories A,B and C thre were total 33 children aged below 18 were involved. The ratio of male to female in A, B and C was 4:3,3:2 and 5:4 respectively.If the no. of female children working in the factories B and C be equal then find the no.of female children working factory A:
Answer» a. 5 b. 2 c. 8 d. 6 Answer :D

Discussion

5134.	A merchanthad 50 kg of pulse.He sells ane part at a profit of 10% and other at 5% loss. Overall he had a gain of 7%. Find the quantity of pulses, which he sold at 10% profit and 5% loss.
Answer» 40 kg, 10 kg 40 kg, 15 kg 40 kg, 12 kg 40kg, 9 kg Answer :A

Discussion

5135.	Rajdeep loses 20% by selling a radio for र 768. What per cent will he gain by selling it for र 1020?
Answer» `7.25% ` `5.25%` `6.25%` `8.25%` ANSWER :C

Discussion

5136.	If 1^(2) + 2^(2) + 3^(3)+ 4^(2) + …….. + 10^(2) = 385 then find the value of 2^(2) + 4^(2) + 6^(2) + ………. + 20^(2)
Answer» 1250 1540 1190 1375 Answer :B

Discussion

5137.	Find the sum to n terms of the series 11+ 102+1003+10004+… :
Answer» a)`(10^N-1) + (n(n+1))/(2)` b)`(10)/(9) (10^n -1) + (n(n+1))/(2)` `c)10^n + n^2 -1` d)NONE of these Answer :B

Discussion

5138.	If each side of a regular dodecagon is 1 cm, find the smallest diagonal of the dodecagon.
Answer» `SQRT(2+sqrt3) CM` `6-3sqrt3 cm` `2sqrt3-sqrt2 cm` `sqrt(3+sqrt2) cm` ANSWER :A

Discussion

5139.	ABCD is a cyclic quadrilateral. The tangent at A and C meet at a point P. If angleABC=100^(@) then angleAPC will be euqal to :
Answer» `10^(@)` `20^(@)` `40^(@)` `80^(@)` ANSWER :B

Discussion

5140.	Rohingya sneaks into an unfamiliar territory by walking over a rail-bridge. At a moment when he is just 16 meters before reaching the middle of the bridge,he notices that a train is coming from behind. At that moment, the train,which travels at a speed of 120 km/h.is exactly as far away fom the bridge as the bridge measures in length without wasting a moment rohingyas rushes straight towards the train to get off the bridge. there by he misses the train by just 20 meters . If rohingyas had rushed in the other direction as fast as he had rushed towards the train, the train towards the train the train would have hit him 10 meters before the end of the bridge. What is the length of the rail-bridge?
Answer» 60 METERS 56 meters 96 meters, DATA insufficient Answer :B

Discussion

5141.	An urn contains 4 green, 5 blue ,2 red and3yellow marbles .If eightmarblesare drawnat random , whatis theprobabilitythat thereare equalnumberof marblesofeachcolour ?
Answer» `(4)/(7)` `(361)/(728)` `(60)/(1001)` `(1)/(1)` SOLUTION :Accordingto question, `n(S) =""^(14)C_(8)=(14!)/((14-8)!8!)xx(14!)/(6!8!)` `=(14xx13xx12xx11xx10xx9)/(6xx5xx4xx3xx2xx1)=3003` `and n( E )=""^(4)C_(2)xx""^(5)C_(2)xx""^(2)C_(2)xx""^(3)C_(2)` `=(4!)/((4-2)!2!)xx(5!)/((5-2)!2!)xx(2!)/((2-2)!2!)xx(3!)/((3-2)!2!)` `=(4!)/(2!2!)xx(5!)/(3!2!)xx(2!)/(0!2)xx(3!)/(1!2!)` `=(4xx3)/(2xx1)xx(5x4)/(2xx1)xx(1)/(1)xx(3)/(1)=180` `implies ` Required PROBABILITY `=(n(E))/(n(S))=(180)/(3003)=(60)/(1001)`

Discussion

5142.	Solve the following problems independently of each other Find the value of m, if there are maximum 28 triangles formed by joining total 9 points on a plane, out of which m points are collinear
Answer» 3 4 1 8 Answer :D

Discussion

5143.	Rajeev start a business with Rs. 10000, Deepu joins him after 2 month with 20% more investment than Rajeev, after 2 month Shakti joins him with 40% less than Deepu. If the profit earned by them at the end of the year is equal to the twice of the difference between investment of Rajeev and ten times the investment of Shakti. Find the profit of Rajeev ?
Answer» A) 50000 B) 48000 C) 38000 D) 40000 Answer :4 HOURS

Discussion

5144.	If 2 * 3 = sqrt(13)and 3 * 4 =5, then the value of 5 * 12 issqrt(17)(b) sqrt(29)(c) 12 (d) 13
Answer» 17 `sqrt29` 21 13 Answer :D

Discussion

5145.	What is the average marks obtained by all the students together in Science?
Answer» `77.16` `120.50` 118 121 Answer :D

Discussion

5146.	If (x+1)/(x-1)=a/band (1-y)/(1+y)=b/a, then thevalue of (x-y)/(1+x y)is(2a b)/(a^2-b^2)(b) (a^2-b^2)/(2a b)(c) (a^2+b^2)/(2a b)(d) (a^2-b^2\ )/(a b)
Answer» `(2AB)/(a^(2)-B^(2))` `(a^(2)-b^(2))/(2ab)` `(a^(2)+b^(2))/(a^(2)-b^(2))` `(a^(2)-b^(2))/(a^(2)+b^(2))` ANSWER :C

Discussion

5147.	Find the value of x for log_(x)2. log_(x//16)2 = log_(x//64)2,
Answer» 4 4,16 4,8 4,8,32 Answer :C

Discussion

5148.	Speed of a bus is 54 km/h. If it stops for a few minutes in an hour then its average speed becomes 45 km/h. How many minute did the bus stop in an hour.
Answer» ANSWER : 10 MIN

Discussion

5149.	A ten-digit number containing each distinct digit only once. The ten-digit number is divisible by 10. If the last digit is eliminated, the remaining number is divisible by 9. If the last 2 digits are eliminated, the remaining number is divisible by 8. If the last three digits are eliminated, the remaining number is divisible by 7. And so on. Find the number.
Answer» 1234567890 2436517890 1832547690 3816547290 Answer :D

Discussion

5150.	A sum of money becomes 9 times of itself in 11years at simple interest. In what time it will becomes 33 times of itself.
Answer» ANSWER :44years

Discussion

Explore topic-wise InterviewSolutions in .

What is the difference between the total number of men and the total number of women workingin night shifts from all the industries together?

Answer these questions independently of each other 10 students took a test and each one got the distinct score. In how many ways can three distinct prizes be given?

Solve the following : (-5)^3

sachin tendulkar has a certain average oh 11 innings. in the 12th innngs he scores 120 runs and there by increases his average by 5 runs his new average is.

Let a,b and c be the sides of a triangle. No two of them are equal and lambda epsilonR. If the roots of the equation x^2+2(a+b+c)x+3lambda(ab+bc+ca)=0 are real, then

A student appeared in the Mock CAT. The test paper contained 3 sections namely QA, DI and VA. The percentage marks in VA was equal to the average of the percentage marks in all the percentage marks of QA we get the percentage marks of DI. The percentage marks in VA scored by the student could be :

Discriminant of the equation -3x^(2)+2x-8=0 is :

The sum of four integers in A.P. is 24 and their product is 945. Find the product of the smallest and greatest integers :

If the ratio of diagonalsof two squares is 3:2 then the ratio of the areas of two squares is :

7cosectheta+24sectheta=25cosecthetasectheta, then costheta=?

Due to an increase of 30% in the price of eggs, 3 eggs less are available for ₹ 9.10. The present rate per egg is :

If m,n are the positive integers (n gt 1) such that m^n = 121 , then value of (m-1)^(n +1) is :

A boat covers a distance of 30 km downstream in 2 h while it takes 6 h to cover the same distance upstream.What is the speed of the boat (in km/h)?

A rectangular grass plot 80 m xx 60 m has two roads, each 10 m wide, running in the middle of it, one parallel to length and the other parallel to breadth.Find the area of the roads.

If a^(3) + b^(3) + c^(3)=3abc and a, b , c are distinct numbers. Which option is correct? (a) a+b+c= 0 (b) a= b= c

The sum of income of A, B, C are Rs. 30000. A, B, and C spend 75%, 70% and 62% of their income. If their savings are in ratio 20 : 21 : 19. Then what are their salary?

2(x^2+1/x^2)-3(x+1/x)-1=0:

Find the total number of quadrilaterals when 8 parallel lines intersect another set of 15 parallel lines.

In the given figure, triangleABC is an isosceles triangle in which AB = AC and angleABC = 50^(@) , the angleBDC is equal to

A man spends an average of र1694. 70 per month for the first 7 month and र1810.50 per month for the next 5 months. His monthly salary if he saves र 3084.60 during the whole year is

If (x+1) and (x-2) are factors of x^(3)+ax^(2)-bx-6, then find the values of a and b respectively.

Which of the four factories has recorded the maximum percentage growth in production of cement from 2008 to 2009?

If the quadratic graph intersects both the X and Y axes at the same point, which of the following is not correct?

Let f(x) be a cubic polynomial which is having local maximum at (1,2) and f'(x) has local extrema at x=0 .If f(0)=1 then

A milkman has two types of milk. In the first container the percentage of milk is 80% and in the second container the percentage of milk is 60%. If he mixes 28 liters of milk of the first container to the 32 liters of milk of the second container, then percentage of milk in the mixture is :

Three types of rice whose rates are ₹38,₹43 and ₹49 per kg are blended together to make a 15 kg of new blend of rice in which there are 8 kgs,4kgs and 3 kgs of the rerspective types of rice .tHe average price of new blend of rice is:

C is twice efficient as A. B takes thrice as many days as C. A takes 12 days to finish the work alone. If they work in pairs (ie, AB, BC, CA) starting with AB on the first day then BC on the second day and AC on the third day and so on, then how many days are required to finish the work?

At a casino in Mumbai, there are 3 tables A, B and C. The pay offs at A is 10:1 at B is 20:1 and at C is 30:1.If a man bets Rs. 200 at each table and with at two of the tables, what is the maximum and minimum difference between his earnings can be?

If P, R, T are the area of a Parallelogram, a rhombus and a triangle standing on the same base and between the same parallels, which of the following is true ?

If tan theta=2-sqrt3, then tan(90-theta) is equal to :

A merchanthad 50 kg of pulse.He sells ane part at a profit of 10% and other at 5% loss. Overall he had a gain of 7%. Find the quantity of pulses, which he sold at 10% profit and 5% loss.

Rajdeep loses 20% by selling a radio for र 768. What per cent will he gain by selling it for र 1020?

If 1^(2) + 2^(2) + 3^(3)+ 4^(2) + …….. + 10^(2) = 385 then find the value of 2^(2) + 4^(2) + 6^(2) + ………. + 20^(2)

Find the sum to n terms of the series 11+ 102+1003+10004+… :

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

ABCD is a cyclic quadrilateral. The tangent at A and C meet at a point P. If angleABC=100^(@) then angleAPC will be euqal to :

An urn contains 4 green, 5 blue ,2 red and3yellow marbles .If eightmarblesare drawnat random , whatis theprobabilitythat thereare equalnumberof marblesofeachcolour ?

Solve the following problems independently of each other Find the value of m, if there are maximum 28 triangles formed by joining total 9 points on a plane, out of which m points are collinear

If 2 * 3 = sqrt(13)and 3 * 4 =5, then the value of 5 * 12 issqrt(17)(b) sqrt(29)(c) 12 (d) 13

What is the average marks obtained by all the students together in Science?

If (x+1)/(x-1)=a/band (1-y)/(1+y)=b/a, then thevalue of (x-y)/(1+x y)is(2a b)/(a^2-b^2)(b) (a^2-b^2)/(2a b)(c) (a^2+b^2)/(2a b)(d) (a^2-b^2\ )/(a b)

Find the value of x for log_(x)2. log_(x//16)2 = log_(x//64)2,

Speed of a bus is 54 km/h. If it stops for a few minutes in an hour then its average speed becomes 45 km/h. How many minute did the bus stop in an hour.

A sum of money becomes 9 times of itself in 11years at simple interest. In what time it will becomes 33 times of itself.