5411 + Interview Questions in Quantitative Aptitude Page 20 InterviewSolution

951.	In the given figure, triangle ABC is right-angled at B. Given that AB = 9 cm, AC = 15 cm and D, E are the mid-points of the sides AB and AC respectively, calculate(i) The length of BC(ii) The area of ΔADE
Answer» In the given figure, triangle ABC is right-angled at B. Given that AB = 9 cm, AC = 15 cm and D, E are the mid-points of the sides AB and AC respectively, calculate (i) The length of BC (ii) The area of ΔADE

Discussion

952.	ABCD is a quadrilateral inscribed in a circle with centre O. If ∠COD=120 degrees and ∠BAC=30 degrees, then the value of ∠BCD ( in degrees) is ___
Answer» ABCD is a quadrilateral inscribed in a circle with centre O. If $∠ C O D = 120$ degrees and $∠ B A C = 30$ degrees, then the value of $∠ B C D$ ( in degrees) is ___

Discussion

953.	The ratio of copper and zinc is 9 : 3 in an alloy. If quantity of zinc is 24 kg. the quantity of copper would be ?
Answer» The ratio of copper and zinc is 9 : 3 in an alloy. If quantity of zinc is 24 kg. the quantity of copper would be ?

Discussion

954.	If V is in GROUP II, then who must be in GROUP I?
Answer» If V is in GROUP II, then who must be in GROUP I?

Discussion

955.	in ABC D is a point on BC such that bd: cd =3:2 arABC = 40 cm^2 then find ar acd
Answer» in ABC D is a point on BC such that bd: cd =3:2 arABC = 40 cm^2 then find ar acd

Discussion

956.	The remainder obtained when(104303) is divided by 101 is
Answer» The remainder obtained when $(104^{303})$ is divided by 101 is

Discussion

957.	Given a1=12a0+Aa0, a2=12a1+Aa1 and an+1=12an+Aan for n≥2, where a>0, A>0.Prove that an-Aan+A=a1-Aa1+A2n-1.
Answer» $Given a_{1} = \frac{1}{2} (a_{0} + \frac{A}{a_{0}}), a_{2} = \frac{1}{2} (a_{1} + \frac{A}{a_{1}}) and a_{n + 1} = \frac{1}{2} (a_{n} + \frac{A}{a_{n}}) for n \geq 2, where a > 0, A > 0 . Prove that \frac{a_{n} - \sqrt{A}}{a_{n} + \sqrt{A}} = (\frac{a_{1} - \sqrt{A}}{a_{1} + \sqrt{A}}) 2^{n - 1} .$

Discussion

958.	a number n leaves a remainder of 1 upon division by 5. if n square is divided by 10 then the sum of all possible remainders is
Answer» a number n leaves a remainder of 1 upon division by 5. if n square is divided by 10 then the sum of all possible remainders is

Discussion

959.	In the figure given below BC is parallel to DE and AD = 7, DB = 1, AE = 14. Find EC.
Answer» In the figure given below BC is parallel to DE and AD = 7, DB = 1, AE = 14. Find EC.

959.

In the figure given below BC is parallel to DE and AD = 7, DB = 1, AE = 14. Find EC.

Answer»

In the figure given below BC is parallel to DE and AD = 7, DB = 1, AE = 14. Find EC.

Discussion

960.	What is the probability that a number selected from the numbers 1, 2, 3,..., 20 is a prime number, where each of the given numbers is equally likely to be selected?
Answer» What is the probability that a number selected from the numbers 1, 2, 3,..., 20 is a prime number, where each of the given numbers is equally likely to be selected?

Discussion

961.	The remainder obtained when (1037−103)is divided by 42 is
Answer» The remainder obtained when $(103^{7} - 103)$ is divided by 42 is

Discussion

962.	In the below question, one or more dots are placed in the problem figure (X) followed by four alternatives (a), (b), (c) and (d). One out of these four alternatives contain region(s) common to the circle, square, triangle and rectangle similar to that marked by the dot in figure (X).
Answer» In the below question, one or more dots are placed in the problem figure (X) followed by four alternatives (a), (b), (c) and (d). One out of these four alternatives contain region(s) common to the circle, square, triangle and rectangle similar to that marked by the dot in figure (X).

962.

In the below question, one or more dots are placed in the problem figure (X) followed by four alternatives (a), (b), (c) and (d). One out of these four alternatives contain region(s) common to the circle, square, triangle and rectangle similar to that marked by the dot in figure (X).

Answer»

In the below question, one or more dots are placed in the problem figure (X) followed by four alternatives (a), (b), (c) and (d). One out of these four alternatives contain region(s) common to the circle, square, triangle and rectangle similar to that marked by the dot in figure (X).

Discussion

963.	If i=(3t2+2t2+5) at first 2seconds, then find Q
Answer» If i=(3t2+2t2+5) at first 2seconds, then find Q

Discussion

964.	Maganlal bought trousers for Rs 400 and a shirt for Rs 200 and sold them for Rs 448 and Rs 250 respectively. Which of these transactions was more profitable?
Answer» Maganlal bought trousers for Rs 400 and a shirt for Rs 200 and sold them for Rs 448 and Rs 250 respectively. Which of these transactions was more profitable?

Discussion

965.	Solve:43−12
Answer» Solve: $\frac{4}{3} - \frac{1}{2}$

965.

Solve:43−12

Answer»

Solve:

$\frac{4}{3} - \frac{1}{2}$

Discussion

966.	In the question, a pair of equation is given. You have to find out the values of a and b and give answer : I. a2+9a+20=0 II. 2b2+10b+12=0
Answer» In the question, a pair of equation is given. You have to find out the values of a and b and give answer : I. $a^{2} + 9 a + 20 = 0$ II. $2 b^{2} + 10 b + 12 = 0$

966.

In the question, a pair of equation is given. You have to find out the values of a and b and give answer : I. a2+9a+20=0 II. 2b2+10b+12=0

Answer»

In the question, a pair of equation is given. You have to find out the values of a and b and give answer :

I. $a^{2} + 9 a + 20 = 0$

II. $2 b^{2} + 10 b + 12 = 0$

Discussion

967.	The World Bank has decreased its forecast for the global growth to how many percent for the year 2016?
Answer» The World Bank has decreased its forecast for the global growth to how many percent for the year 2016?

Discussion

968.	The greatest five digit number exactly divisible by 9 and 13 is(a) 99945(b) 99918(c) 99964(d) 99972
Answer» The greatest five digit number exactly divisible by 9 and 13 is (a) 99945 (b) 99918 (c) 99964 (d) 99972

Discussion

969.	AB and CD are two parallel lines. PQ cuts AB and CD at E and F respectively. EL is the bisector of ∠BEF. If ∠LEB=35∘ then ∠CFQ will be:
Answer» AB and CD are two parallel lines. PQ cuts AB and CD at E and F respectively. EL is the bisector of $∠ B E F$ . If $∠ L E B = 35^{\circ}$ then $∠ C F Q$ will be:

Discussion

970.	The probability that in a year of the 22nd century chosen at random there will be 53 Sundays is
Answer» The probability that in a year of the $22^{n d}$ century chosen at random there will be $53$ Sundays is

Discussion

971.	What would be the compound interest obtained on an amount of Rs.12,500 at the rate of 12 p.c.p.a after 2 years?
Answer» What would be the compound interest obtained on an amount of Rs.12,500 at the rate of 12 p.c.p.a after 2 years?

Discussion

972.	A two-digit number N is 'q' times the sum of its digits. The two-digit number formed by reversing the digits of N is 'p' times the sum of the digits. Which of the following is equal to 'p'?
Answer» A two-digit number N is 'q' times the sum of its digits. The two-digit number formed by reversing the digits of N is 'p' times the sum of the digits. Which of the following is equal to 'p'?

Discussion

973.

The following table shows the number of Buses and Trucks in nearest lakh units. Draw percentage bar-diagram. (Approximate the percentages to the nearest integer) Year No of trucks No of buses 2005-2006 2007-2008 2008-2009 2009-2010 47 56 60 63 9 13 16 18

Answer» The following table shows the number of Buses and Trucks in nearest lakh units. Draw percentage bar-diagram. (Approximate the percentages to the nearest integer)

Year	No of trucks	No of buses
2005-2006 2007-2008 2008-2009 2009-2010	47 56 60 63	9 13 16 18

Discussion

974.	Find ∫ln x dx
Answer» Find $\int l n x d x$

Discussion

975.	The number of passengers travelling to Delhi and Kolkata by airline C, is what percent of the number of all passengers travelling by the same airline?
Answer» The number of passengers travelling to Delhi and Kolkata by airline C, is what percent of the number of all passengers travelling by the same airline?

Discussion

976.	17. The length of the tangents from any point of the } circle }15x^2+15y^2-48x+64y=0 to the two } circles }5x^2+5y^2-24x+32y+75=0 , }5x^2+5y^2-48x+64y+300=0 are in the ratio }
Answer» 17. The length of the tangents from any point of the } circle }15x^2+15y^2-48x+64y=0 to the two } circles }5x^2+5y^2-24x+32y+75=0 , }5x^2+5y^2-48x+64y+300=0 are in the ratio }

Discussion

977.	Q24. Machines A and B always operate independently and at their respective constant rates. When working alone, machine A can fill a production lot in 5 hours, and machine B can fill the same lot in x hours. When the two machines operate simultaneously to fill the production lot, it takes them 2 hours to complete the job. What is the value of x ?
Answer» Q24. Machines A and B always operate independently and at their respective constant rates. When working alone, machine A can fill a production lot in 5 hours, and machine B can fill the same lot in x hours. When the two machines operate simultaneously to fill the production lot, it takes them 2 hours to complete the job. What is the value of x ?

Discussion

978.	Identify the salient features of Sukanya Samridhi Yojana Which of the above statements is/are incorrect
Answer» Identify the salient features of Sukanya Samridhi Yojana Which of the above statements is/are incorrect

978.

Identify the salient features of Sukanya Samridhi Yojana Which of the above statements is/are incorrect

Answer»

Identify the salient features of Sukanya Samridhi Yojana

Which of the above statements is/are incorrect

Discussion

979.	Q. A fruit seller sells apples at a profit of 8% and uses a weight which is 10% less.What is his percentage gain. Q. एक फल विक्रेता सेब को 8%) के लाभ पर बेचता है और 10%) कम वजन का उपयोग करता है। उसका प्रतिशत लाभ क्या है?
Answer» Q. A fruit seller sells apples at a profit of $8 %$ and uses a weight which is $10 %$ less.What is his percentage gain. Q. एक फल विक्रेता सेब को $8 %$ ) के लाभ पर बेचता है और $10 %$ ) कम वजन का उपयोग करता है। उसका प्रतिशत लाभ क्या है?

Discussion

980.	How many numbers have at least one special character preceding or succeeding them?
Answer» How many numbers have at least one special character preceding or succeeding them?

Discussion

981.	Question 2Write True or False and justify your answer :PQRS is a rectangle inscribed in a quadrant of a circle of radius 13 cm and A is any point on PQ. If PS = 5 cm. Then, ar (ΔPAS)= 30cm2.
Answer» Question 2 Write True or False and justify your answer : PQRS is a rectangle inscribed in a quadrant of a circle of radius 13 cm and A is any point on PQ. If PS = 5 cm. Then, ar ( $Δ$ PAS)= $30 c m^{2}$ .

Discussion

982.	If x = a (cos θ+log tan θ2) and y=a sin θ, then find the value of d2ydx2 at θ=π4.
Answer» If x = a $(c o s θ + l o g t a n \frac{θ}{2}) a n d y = a s i n θ$ , then find the value of $\frac{d^{2} y}{d x^{2}} a t θ = \frac{π}{4} .$

Discussion

983.	The probability that an archer hits the target when it is windy is 0.4; when it is not windy, her probability of hitting the target is 0.7. On any shot, the probability of a gust of wind is 0.3. If the probability that she hits the target on first shot is x, then the value of 100x is
Answer» The probability that an archer hits the target when it is windy is $0.4;$ when it is not windy, her probability of hitting the target is $0.7.$ On any shot, the probability of a gust of wind is $0.3$ . If the probability that she hits the target on first shot is $x,$ then the value of $100 x$ is

Discussion

984.	In which of the following expressions does the expression M > R does not hold true?
Answer» In which of the following expressions does the expression M > R does not hold true?

Discussion

985.	The set of values for which x3+1≥x2+x is:
Answer» The set of values for which $x^{3} + 1 \geq x^{2} + x$ is:

Discussion

986.	A college awarded 38 medals in football, 15 in basketball and 20 in cricket.If these medals went to total of 58 men and only three men got medals in all the three sports. Number of persons who get medals in exactly two of the three sports( by formula and by Venn diagram)
Answer» A college awarded 38 medals in football, 15 in basketball and 20 in cricket.If these medals went to total of 58 men and only three men got medals in all the three sports. Number of persons who get medals in exactly two of the three sports( by formula and by Venn diagram)

Discussion

987.	A, B and C together finish work in 4 days. If A alone can finish the same work in 8 days and B in 12 days, find how long will C take to finish the work.
Answer» A, B and C together finish work in 4 days. If A alone can finish the same work in 8 days and B in 12 days, find how long will C take to finish the work.

Discussion

988.	The probability that a randomly selected 2-digit number belongs to the set {n ϵ N: (2n−2) is a multiple of 3} is equal to
Answer» The probability that a randomly selected 2-digit number belongs to the set ${n ϵ N : (2^{n} - 2) is a multiple of 3}$ is equal to

Discussion

989.	The age of the father is 30 years more than the son’s age. Ten years hence, the father’s age will become three times the son’s age that time. What is the son’s present age?
Answer» The age of the father is 30 years more than the son’s age. Ten years hence, the father’s age will become three times the son’s age that time. What is the son’s present age?

Discussion

990.	How many natural number sets of the form Sn={n−4,n−3,n−2,n−1,n,n+1,n+2,n+3,n+4} (n is a natural number ≤100) and the set does not contain 10 or any integral multiple of 10?
Answer» How many natural number sets of the form $S_{n} = {n - 4, n - 3, n - 2, n - 1, n, n + 1, n + 2, n + 3, n + 4}$ (n is a natural number $\leq$ 100) and the set does not contain 10 or any integral multiple of 10?

Discussion

991.	Amit sells a watch at 20% gain. Had he sold it for Rs 36 more, he would have gained 23%. Find the cost price of the watch.
Answer» Amit sells a watch at 20% gain. Had he sold it for Rs 36 more, he would have gained 23%. Find the cost price of the watch.

Discussion

992.	What is the minimum number of innings played by all the 5 players taken together?
Answer» What is the minimum number of innings played by all the 5 players taken together?

Discussion

993.	Statements: All circles are triangles. All squares are circles. Conclusions: I. All squares are triangles. II. Some triangles are not squares.
Answer» Statements: All circles are triangles. All squares are circles. Conclusions: I. All squares are triangles. II. Some triangles are not squares.

993.

Statements: All circles are triangles. All squares are circles. Conclusions: I. All squares are triangles. II. Some triangles are not squares.

Answer»

Statements:

All circles are triangles.

All squares are circles.

Conclusions:

I. All squares are triangles.

II. Some triangles are not squares.

Discussion

994.	Which of the following is correct?
Answer» Which of the following is correct?

Discussion

995.	What is the increase in the perimeter of an equilateral triangle if the sides of the triangle are increased by 30%, 50% and 70% respectively to form a new triangle -
Answer» What is the increase in the perimeter of an equilateral triangle if the sides of the triangle are increased by 30%, 50% and 70% respectively to form a new triangle -

Discussion

996.	Let f:(0, infinte) - [9, infinte) defined as f(x)=x^12 +4/(x^2) +4/x. Then f is(1) into(2) onto(3) odd(4) even
Answer» Let f:(0, infinte) - [9, infinte) defined as f(x)=x^12 +4/(x^2) +4/x. Then f is (1) into (2) onto (3) odd (4) even

Discussion

997.	Prove that the product of two consecutive positive integers is divisible by 2.
Answer» Prove that the product of two consecutive positive integers is divisible by 2.

Discussion

998.	Question 6Only one of the four options is correct. Write the correct one.In a box, the ratio of red marbles to blue marbles is 7 : 4. Which of the following could be the total number of marbles in the box?a) 8b) 19c) 21d) 22
Answer» Question 6 Only one of the four options is correct. Write the correct one. In a box, the ratio of red marbles to blue marbles is 7 : 4. Which of the following could be the total number of marbles in the box? a) 8 b) 19 c) 21 d) 22

998.

Question 6Only one of the four options is correct. Write the correct one.In a box, the ratio of red marbles to blue marbles is 7 : 4. Which of the following could be the total number of marbles in the box?a) 8b) 19c) 21d) 22

Answer»

Question 6

Only one of the four options is correct. Write the correct one.

In a box, the ratio of red marbles to blue marbles is 7 : 4. Which of the following could be the total number of marbles in the box?

a) 8

b) 19

c) 21

d) 22

Discussion

999.	Hasan buys two kinds of cloth material for school uniforms shirt material that cost him 50 rupees per metre and trouser material that costs him night rupees for me for everything of shirt material buyers of trouser material he sells the material at 12% and 10% profit respectively is total sale is 36000 600 rupees how much trouser material did he buy
Answer» Hasan buys two kinds of cloth material for school uniforms shirt material that cost him 50 rupees per metre and trouser material that costs him night rupees for me for everything of shirt material buyers of trouser material he sells the material at 12% and 10% profit respectively is total sale is 36000 600 rupees how much trouser material did he buy

Discussion

1000.

On which date of the month was Anjali born in February 2004 ? I. Anjali was born on an even date of the month. II. Anjali's birth date was a prime number

Answer»

On which date of the month was Anjali born in February 2004 ?

I. Anjali was born on an even date of the month.

II. Anjali's birth date was a prime number

Discussion

Explore topic-wise InterviewSolutions in .

In the given figure, triangle ABC is right-angled at B. Given that AB = 9 cm, AC = 15 cm and D, E are the mid-points of the sides AB and AC respectively, calculate(i) The length of BC(ii) The area of ΔADE

ABCD is a quadrilateral inscribed in a circle with centre O. If ∠COD=120 degrees and ∠BAC=30 degrees, then the value of ∠BCD ( in degrees) is ___

The ratio of copper and zinc is 9 : 3 in an alloy. If quantity of zinc is 24 kg. the quantity of copper would be ?

If V is in GROUP II, then who must be in GROUP I?

in ABC D is a point on BC such that bd: cd =3:2 arABC = 40 cm^2 then find ar acd

The remainder obtained when(104303) is divided by 101 is

Given a1=12a0+Aa0, a2=12a1+Aa1 and an+1=12an+Aan for n≥2, where a&gt;0, A&gt;0.Prove that an-Aan+A=a1-Aa1+A2n-1.

a number n leaves a remainder of 1 upon division by 5. if n square is divided by 10 then the sum of all possible remainders is

In the figure given below BC is parallel to DE and AD = 7, DB = 1, AE = 14. Find EC.

What is the probability that a number selected from the numbers 1, 2, 3,..., 20 is a prime number, where each of the given numbers is equally likely to be selected?

The remainder obtained when (1037−103)is divided by 42 is

In the below question, one or more dots are placed in the problem figure (X) followed by four alternatives (a), (b), (c) and (d). One out of these four alternatives contain region(s) common to the circle, square, triangle and rectangle similar to that marked by the dot in figure (X).

If i=(3t*2+2t*2+5) at first 2seconds, then find Q

Maganlal bought trousers for Rs 400 and a shirt for Rs 200 and sold them for Rs 448 and Rs 250 respectively. Which of these transactions was more profitable?

Solve:43−12

In the question, a pair of equation is given. You have to find out the values of a and b and give answer : I. a2+9a+20=0 II. 2b2+10b+12=0

The World Bank has decreased its forecast for the global growth to how many percent for the year 2016?

The greatest five digit number exactly divisible by 9 and 13 is(a) 99945(b) 99918(c) 99964(d) 99972

AB and CD are two parallel lines. PQ cuts AB and CD at E and F respectively. EL is the bisector of ∠BEF. If ∠LEB=35∘ then ∠CFQ will be:

The probability that in a year of the 22nd century chosen at random there will be 53 Sundays is

What would be the compound interest obtained on an amount of Rs.12,500 at the rate of 12 p.c.p.a after 2 years?

A two-digit number N is 'q' times the sum of its digits. The two-digit number formed by reversing the digits of N is 'p' times the sum of the digits. Which of the following is equal to 'p'?

The following table shows the number of Buses and Trucks in nearest lakh units. Draw percentage bar-diagram. (Approximate the percentages to the nearest integer) Year No of trucks No of buses 2005-2006 2007-2008 2008-2009 2009-2010 47 56 60 63 9 13 16 18

Find ∫ln x dx

The number of passengers travelling to Delhi and Kolkata by airline C, is what percent of the number of all passengers travelling by the same airline?

17. The length of the tangents from any point of the } circle }15x^2+15y^2-48x+64y=0 to the two } circles }5x^2+5y^2-24x+32y+75=0 , }5x^2+5y^2-48x+64y+300=0 are in the ratio }

Identify the salient features of Sukanya Samridhi Yojana Which of the above statements is/are incorrect

How many numbers have at least one special character preceding or succeeding them?

Question 2Write True or False and justify your answer :PQRS is a rectangle inscribed in a quadrant of a circle of radius 13 cm and A is any point on PQ. If PS = 5 cm. Then, ar (ΔPAS)= 30cm2.

If x = a (cos θ+log tan θ2) and y=a sin θ, then find the value of d2ydx2 at θ=π4.

The probability that an archer hits the target when it is windy is 0.4; when it is not windy, her probability of hitting the target is 0.7. On any shot, the probability of a gust of wind is 0.3. If the probability that she hits the target on first shot is x, then the value of 100x is

In which of the following expressions does the expression M &gt; R does not hold true?

The set of values for which x3+1≥x2+x is:

A college awarded 38 medals in football, 15 in basketball and 20 in cricket.If these medals went to total of 58 men and only three men got medals in all the three sports. Number of persons who get medals in exactly two of the three sports( by formula and by Venn diagram)

A, B and C together finish work in 4 days. If A alone can finish the same work in 8 days and B in 12 days, find how long will C take to finish the work.

The probability that a randomly selected 2-digit number belongs to the set {n ϵ N: (2n−2) is a multiple of 3} is equal to

The age of the father is 30 years more than the son’s age. Ten years hence, the father’s age will become three times the son’s age that time. What is the son’s present age?

How many natural number sets of the form Sn={n−4,n−3,n−2,n−1,n,n+1,n+2,n+3,n+4} (n is a natural number ≤100) and the set does not contain 10 or any integral multiple of 10?

Amit sells a watch at 20% gain. Had he sold it for Rs 36 more, he would have gained 23%. Find the cost price of the watch.

What is the minimum number of innings played by all the 5 players taken together?

Statements: All circles are triangles. All squares are circles. Conclusions: I. All squares are triangles. II. Some triangles are not squares.

Which of the following is correct?

What is the increase in the perimeter of an equilateral triangle if the sides of the triangle are increased by 30%, 50% and 70% respectively to form a new triangle -

Let f:(0, infinte) - [9, infinte) defined as f(x)=x^12 +4/(x^2) +4/x. Then f is(1) into(2) onto(3) odd(4) even

Prove that the product of two consecutive positive integers is divisible by 2.

Question 6Only one of the four options is correct. Write the correct one.In a box, the ratio of red marbles to blue marbles is 7 : 4. Which of the following could be the total number of marbles in the box?a) 8b) 19c) 21d) 22

On which date of the month was Anjali born in February 2004 ? I. Anjali was born on an even date of the month. II. Anjali's birth date was a prime number

Given a1=12a0+Aa0, a2=12a1+Aa1 and an+1=12an+Aan for n≥2, where a>0, A>0.Prove that an-Aan+A=a1-Aa1+A2n-1.

If i=(3t2+2t2+5) at first 2seconds, then find Q

In which of the following expressions does the expression M > R does not hold true?