5411 + Interview Questions in Quantitative Aptitude Page 1 InterviewSolution

1.	A Cricket player scored 180 runs in the first match and 257 runs in the second match. Find the number of runs he should score in the third match so that the average of runs in the three matches be 230.
Answer» A Cricket player scored 180 runs in the first match and 257 runs in the second match. Find the number of runs he should score in the third match so that the average of runs in the three matches be 230.

Discussion

2.	The author's idea that character is a treasure is revealed in which of the statements?
Answer» The author's idea that character is a treasure is revealed in which of the statements?

Discussion

3.	From a station, two trains start at a same time. One train moves in West and other to North direction. First train moves 5 km/h faster than the second train. If after 2 hours distance between two trains is 50 kms , find the average speed of each train
Answer» From a station, two trains start at a same time. One train moves in West and other to North direction. First train moves 5 km/h faster than the second train. If after 2 hours distance between two trains is 50 kms , find the average speed of each train

Discussion

4.	The sum of all possible value(s) of a so that the equation (x2+2ax+2a+3)(x2+2ax+4a+5)=0 has exactly three real and distinct roots is
Answer» The sum of all possible value(s) of $a$ so that the equation $(x^{2} + 2 a x + 2 a + 3) (x^{2} + 2 a x + 4 a + 5) = 0$ has exactly three real and distinct roots is

Discussion

5.	There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
Answer» There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

Discussion

6.	PQRS is a rectangle with PQ = 2QR. T is a point such that the shortest distance from PQ is √3 time QR. Let M be the midpoint of QT.The measure of the angle QMR is
Answer» PQRS is a rectangle with PQ = 2QR. T is a point such that the shortest distance from PQ is $\sqrt{3}$ time QR. Let M be the midpoint of QT.The measure of the angle QMR is

Discussion

7.	In ΔPQR, the angle bisectors of ∠PQR and ∠PRQ meet at O.If ∠QPR=80∘, find the measure of ∠QOR
Answer» In $Δ P Q R$ , the angle bisectors of $∠ P Q R$ and $∠ P R Q$ meet at O. If $∠ Q P R = 80^{\circ}$ , find the measure of $∠ Q O R$

Discussion

8.	28. A biased coin with prob p,of heads is tossed until a head appears for the first time . if the prob that number of tosses required is even is 2/5 , then p is equal to
Answer» 28. A biased coin with prob p,of heads is tossed until a head appears for the first time . if the prob that number of tosses required is even is 2/5 , then p is equal to

Discussion

9.	In a town of 10,000, families it was found that 40% families buy newspaper A,20% families buy newspaper B and 10% families buy newspaper C, 5% families buy A and B,3% buy B and C, 4% buy A and C and 2% families buy all the three newspapers.If probability of families to buy only newspaper B is λ100, then the value of λ=
Answer» In a town of $10, 000,$ families it was found that $40 %$ families buy newspaper $A, 20 %$ families buy newspaper $B$ and $10 %$ families buy newspaper $C,$ $5 %$ families buy $A$ and $B, 3 %$ buy $B$ and $C,$ $4 %$ buy $A$ and $C$ and $2 %$ families buy all the three newspapers. If probability of families to buy only newspaper $B$ is $\frac{λ}{100},$ then the value of $λ =$

Discussion

10.	P and Q invested Rs. 6000 and Rs. 8000 in a business. P receives Rs.12.5 per month out of the profit as remuneration for running the business and the rest of profit is divided in proportion to the investments. If in a year P totally receives Rs.780, what does Q receive?
Answer» P and Q invested Rs. 6000 and Rs. 8000 in a business. P receives Rs.12.5 per month out of the profit as remuneration for running the business and the rest of profit is divided in proportion to the investments. If in a year P totally receives Rs.780, what does Q receive?

Discussion

11.	In an AP first term is 2 and the sum of first 5 terms is 1/4 of next five terms show that 20th term is 112
Answer» In an AP first term is 2 and the sum of first 5 terms is 1/4 of next five terms show that 20th term is 112

Discussion

12.	Sale Analyst: When polled, all consumers consistently say that, for household staples, they would buy the lowest cost items. Even when other factors, such as inherent product quality, are introduce, all consumers still argue that low cost should be the highest priority in buying household staples. Therefore, these responses demonstrate how little most people are aware of the actual priorities that drive their purchasing decisions. The conclusion above is properly drawn if which of the following is assumed?
Answer» Sale Analyst: When polled, all consumers consistently say that, for household staples, they would buy the lowest cost items. Even when other factors, such as inherent product quality, are introduce, all consumers still argue that low cost should be the highest priority in buying household staples. Therefore, these responses demonstrate how little most people are aware of the actual priorities that drive their purchasing decisions. The conclusion above is properly drawn if which of the following is assumed?

Discussion

13.	The number of candidates appearing for the exam from city C is what percent of the total number of candidates appearing for the exam from city B? Round off your answer to the nearest integer.
Answer» The number of candidates appearing for the exam from city C is what percent of the total number of candidates appearing for the exam from city B? Round off your answer to the nearest integer.

Discussion

14.	On 1st August, 2016, a survey was conducted in a restaurant regarding flow of customer, type of customer, collection of money at the counter. The results are compiled in the table below. Only one bill is issued per single customer or per customer group. Group here means more than one customer at one time. This represents a typical day’s scenario and all working days of the month will show the same data on each day. If restaurant makes a profit of 5% on the selling price of each item and is open 25 days in the month of August, what is the approximate profit amount in August?
Answer» On 1st August, 2016, a survey was conducted in a restaurant regarding flow of customer, type of customer, collection of money at the counter. The results are compiled in the table below. Only one bill is issued per single customer or per customer group. Group here means more than one customer at one time. This represents a typical day’s scenario and all working days of the month will show the same data on each day. If restaurant makes a profit of $5 %$ on the selling price of each item and is open 25 days in the month of August, what is the approximate profit amount in August?

Discussion

15.	If the health expenditure in 2005 is 198000 cr, then the annual increase in the period 2001 to 2005 is nearest to ?
Answer» If the health expenditure in 2005 is 198000 cr, then the annual increase in the period 2001 to 2005 is nearest to ?

15.

If the health expenditure in 2005 is 198000 cr, then the annual increase in the period 2001 to 2005 is nearest to ?

Answer»

If the health expenditure in 2005 is 198000 cr, then the annual increase in the period 2001 to 2005 is nearest to ?

Discussion

16.	17. How many 4 digit numbers are there that have at least one digit that is a 1 or a 2?
Answer» 17. How many 4 digit numbers are there that have at least one digit that is a 1 or a 2?

Discussion

17.	50. Number of positive integral solution of (x,y,z ) such that xyz =24
Answer» 50. Number of positive integral solution of (x,y,z ) such that xyz =24

Discussion

18.	6. Assuming the ball to be identical except for the diffrence in the colour , the no of the ways in which the one or more ball can be selected from 10 white,9green and 7 black.
Answer» 6. Assuming the ball to be identical except for the diffrence in the colour , the no of the ways in which the one or more ball can be selected from 10 white,9green and 7 black.

Discussion

19.	A largest possible cylinder is inscribed within a cube. What portion of the cube would be occupied by the cylinder?
Answer» A largest possible cylinder is inscribed within a cube. What portion of the cube would be occupied by the cylinder?

Discussion

20.	If the Organizers wants to ensure that the number of participants at S gets evenly distributed along streets from S to A, from S to B, and from S to D, then a feasible set of task time(in hours) at junctions A, B, C, and D respectively to achieve this goal is:
Answer» If the Organizers wants to ensure that the number of participants at S gets evenly distributed along streets from S to A, from S to B, and from S to D, then a feasible set of task time(in hours) at junctions A, B, C, and D respectively to achieve this goal is:

Discussion

21.	Number of Nokia cellular phones sold by store R is what percent more than the total number of Samsung cellular phones sold by stores P and Q together?
Answer» Number of Nokia cellular phones sold by store R is what percent more than the total number of Samsung cellular phones sold by stores P and Q together?

Discussion

22.	Draw the bubbles. Trace and say the letters aloud.Disclaimer: Kindly refer the textbook for the images.
Answer» Draw the bubbles. Trace and say the letters aloud. Disclaimer: Kindly refer the textbook for the images.

Discussion

23.	If a number 774958A96B is to be divisible by 8 and 9, the respective values of A and B will be : (CAT 1996)
Answer» If a number 774958A96B is to be divisible by 8 and 9, the respective values of A and B will be : (CAT 1996)

23.

If a number 774958A96B is to be divisible by 8 and 9, the respective values of A and B will be : (CAT 1996)

Answer»

If a number 774958A96B is to be divisible by 8 and 9, the respective values of A and B will be :

(CAT 1996)

Discussion

24.	The value of π upto 50 decimal places is given below :3.14159265358979323846264338327950288419716939937510 From this information prepare an ungrouped frequency distribution table of digits appearing after the decimal point.
Answer» The value of π upto 50 decimal places is given below : 3.14159265358979323846264338327950288419716939937510 From this information prepare an ungrouped frequency distribution table of digits appearing after the decimal point.

Discussion

25.	The product of three integers is 324. If first of them is one-fourth of 324 and the second one is 2, then find the twice of the third number.
Answer» The product of three integers is 324. If first of them is one-fourth of 324 and the second one is 2, then find the twice of the third number.

Discussion

26.	A train 200m long enters at 5m/s and exits at 3m/s from a bridge 300m long. The time taken by it is
Answer» A train 200m long enters at 5m/s and exits at 3m/s from a bridge 300m long. The time taken by it is

Discussion

27.	The angle between the minute hand and the hour hand of a clock when the time is 8:40 is:
Answer» The angle between the minute hand and the hour hand of a clock when the time is 8:40 is:

Discussion

28.	All edges of a square pyramid are of equal lengths. If the length of the base edge is 20 cm, what is the total surface area?
Answer» All edges of a square pyramid are of equal lengths. If the length of the base edge is $20 c m$ , what is the total surface area?

Discussion

29.	The first term of an AP is 5, the last term is 50 and the sum is 440. Find the number of terms and the common difference.
Answer» The first term of an AP is 5, the last term is 50 and the sum is 440. Find the number of terms and the common difference.

Discussion

30.	11. If theta lies in the first quadrant and costheta=8/17,then the value of cos (30^°+theta)+cos (45^°-theta)+cos (120^°-theta)is
Answer» 11. If theta lies in the first quadrant and costheta=8/17,then the value of cos (30^°+theta)+cos (45^°-theta)+cos (120^°-theta)is

Discussion

31.	The centre of a circle is at O(2x, x + 6). If the circle passes through the point (–7, 10) and has a diameter of length 10 5 units, then find the coordinates of the centre of the circle
Answer» The centre of a circle is at O(2x, x + 6). If the circle passes through the point (–7, 10) and has a diameter of length 10 5 units, then find the coordinates of the centre of the circle

Discussion

32.	Question 7The sum of three consecutive multiples of 8 is 888. Find the multiples.
Answer» Question 7 The sum of three consecutive multiples of 8 is 888. Find the multiples.

Discussion

33.	If OD is the diameter of the circular arc, which of these relations could be true?
Answer» If OD is the diameter of the circular arc, which of these relations could be true?

Discussion

34.	Which option follows the rule, no letter comes twice in any line?
Answer» Which option follows the rule, no letter comes twice in any line?

Discussion

35.	Q started a business by investing Rs.2700. After sometime P joined him by investing Rs.3600, the share of the profit of P to that of Q after 14 months is 8:7. After how many months did P join the business?
Answer» Q started a business by investing Rs.2700. After sometime P joined him by investing Rs.3600, the share of the profit of P to that of Q after 14 months is 8:7. After how many months did P join the business?

Discussion

36.	Newton-Raphson method is used to compute a root of the equation 2x2+5x−9=0 with 4.5 as the initial value. The approximation after one iteration is ________2.15
Answer» Newton-Raphson method is used to compute a root of the equation $2 x^{2} + 5 x - 9 = 0$ with 4.5 as the initial value. The approximation after one iteration is ________ 2.15

Discussion

37.	What is the total production of units of C, D & E together for both the years (in lakh tons)?
Answer» What is the total production of units of C, D & E together for both the years (in lakh tons)?

Discussion

38.	The total number of graduates who appeared for ES in 2008 is what percent of the total number of graduates who appeared for CS in the same year?
Answer» The total number of graduates who appeared for ES in 2008 is what percent of the total number of graduates who appeared for CS in the same year?

Discussion

39.	35.a ball is droped from a height .if it takes 0.200s to cross the last 6.00m before hitting the ground , find the height from which it was drrpped g=10m/s
Answer» 35.a ball is droped from a height .if it takes 0.200s to cross the last 6.00m before hitting the ground , find the height from which it was drrpped g=10m/s

Discussion

40.	37. Find the probability of 53 sundays in a leap year ?
Answer» 37. Find the probability of 53 sundays in a leap year ?

Discussion

41.	Which of the following is NOT necessarily true?
Answer» Which of the following is NOT necessarily true?

Discussion

42.	Question 5Check whether 6n can end with the digit 0 for any natural number n.
Answer» Question 5 Check whether $6^{n}$ can end with the digit 0 for any natural number n.

Discussion

43.	How many goals were scored against Salgaocar in the third round? ___
Answer» How many goals were scored against Salgaocar in the third round? ___

Discussion

44.	What is the percentage increase in the production of Company Y from 1996 to 1999?
Answer» What is the percentage increase in the production of Company Y from 1996 to 1999?

Discussion

45.	Based on JEE (Main) Pattern } 1.) If }z_1-3z_2+2z_3=0, then }z_1,z_2 and }z_3 are } (1)collinea} r } (2) Vertices of a triangle } (3) Three of the vertices of a square } (4) Three of the vertices of a rectangle
Answer» Based on JEE (Main) Pattern } 1.) If }z_1-3z_2+2z_3=0, then }z_1,z_2 and }z_3 are } (1)collinea} r } (2) Vertices of a triangle } (3) Three of the vertices of a square } (4) Three of the vertices of a rectangle

Discussion

46.	Q. Mukesh recovers the cost of 25 pencils by selling 20 pencils. Find his profit percentage. Q. मुकेश ने 20 पेंसिल बेचकर 25 पेंसिल की कीमत वसूल की।उसका लाभ प्रतिशत ज्ञात कीजिए।
Answer» Q. Mukesh recovers the cost of 25 pencils by selling 20 pencils. Find his profit percentage. Q. मुकेश ने 20 पेंसिल बेचकर 25 पेंसिल की कीमत वसूल की।उसका लाभ प्रतिशत ज्ञात कीजिए।

Discussion

47.	Question 3 (ii)In an AP:(ii) Given a = 7, a13=35, find d and S13.
Answer» Question 3 (ii) In an AP: (ii) Given a = 7, $a_{13} = 35$ , find d and $S_{13}$ .

Discussion

48.	The next number is the sequence 4, 8, 16, 28, 44, _____________.
Answer» The next number is the sequence 4, 8, 16, 28, 44, _____________.

Discussion

49.	The total number of foreign tourists who visited all three places on Tuesday together is what percent of the total number foreign tourists who visited Wagha Border on Monday and Wednesday together?
Answer» The total number of foreign tourists who visited all three places on Tuesday together is what percent of the total number foreign tourists who visited Wagha Border on Monday and Wednesday together?

Discussion

50.	In a school there are 120 students, who participated in Cricket and Football. 50 of them played both games. The sum of number of students who played exactly one game and number of students who played none of the game is ___.
Answer» In a school there are 120 students, who participated in Cricket and Football. 50 of them played both games. The sum of number of students who played exactly one game and number of students who played none of the game is ___.

Discussion

Explore topic-wise InterviewSolutions in .

A Cricket player scored 180 runs in the first match and 257 runs in the second match. Find the number of runs he should score in the third match so that the average of runs in the three matches be 230.

The author's idea that character is a treasure is revealed in which of the statements?

From a station, two trains start at a same time. One train moves in West and other to North direction. First train moves 5 km/h faster than the second train. If after 2 hours distance between two trains is 50 kms , find the average speed of each train

The sum of all possible value(s) of a so that the equation (x2+2ax+2a+3)(x2+2ax+4a+5)=0 has exactly three real and distinct roots is

There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

PQRS is a rectangle with PQ = 2QR. T is a point such that the shortest distance from PQ is √3 time QR. Let M be the midpoint of QT.The measure of the angle QMR is

In ΔPQR, the angle bisectors of ∠PQR and ∠PRQ meet at O.If ∠QPR=80∘, find the measure of ∠QOR

28. A biased coin with prob p,of heads is tossed until a head appears for the first time . if the prob that number of tosses required is even is 2/5 , then p is equal to

P and Q invested Rs. 6000 and Rs. 8000 in a business. P receives Rs.12.5 per month out of the profit as remuneration for running the business and the rest of profit is divided in proportion to the investments. If in a year P totally receives Rs.780, what does Q receive?

In an AP first term is 2 and the sum of first 5 terms is 1/4 of next five terms show that 20th term is 112

The number of candidates appearing for the exam from city C is what percent of the total number of candidates appearing for the exam from city B? Round off your answer to the nearest integer.

If the health expenditure in 2005 is 198000 cr, then the annual increase in the period 2001 to 2005 is nearest to ?

17. How many 4 digit numbers are there that have at least one digit that is a 1 or a 2?

50. Number of positive integral solution of (x,y,z ) such that xyz =24

6. Assuming the ball to be identical except for the diffrence in the colour , the no of the ways in which the one or more ball can be selected from 10 white,9green and 7 black.

A largest possible cylinder is inscribed within a cube. What portion of the cube would be occupied by the cylinder?

If the Organizers wants to ensure that the number of participants at S gets evenly distributed along streets from S to A, from S to B, and from S to D, then a feasible set of task time(in hours) at junctions A, B, C, and D respectively to achieve this goal is:

Number of Nokia cellular phones sold by store R is what percent more than the total number of Samsung cellular phones sold by stores P and Q together?

Draw the bubbles. Trace and say the letters aloud.Disclaimer: Kindly refer the textbook for the images.

If a number 774958A96B is to be divisible by 8 and 9, the respective values of A and B will be : (CAT 1996)

The value of π upto 50 decimal places is given below :3.14159265358979323846264338327950288419716939937510 From this information prepare an ungrouped frequency distribution table of digits appearing after the decimal point.

The product of three integers is 324. If first of them is one-fourth of 324 and the second one is 2, then find the twice of the third number.

A train 200m long enters at 5m/s and exits at 3m/s from a bridge 300m long. The time taken by it is

The angle between the minute hand and the hour hand of a clock when the time is 8:40 is:

All edges of a square pyramid are of equal lengths. If the length of the base edge is 20 cm, what is the total surface area?

The first term of an AP is 5, the last term is 50 and the sum is 440. Find the number of terms and the common difference.

11. If theta lies in the first quadrant and costheta=8/17,then the value of cos (30^°+theta)+cos (45^°-theta)+cos (120^°-theta)is

The centre of a circle is at O(2x, x + 6). If the circle passes through the point (–7, 10) and has a diameter of length 10 5 units, then find the coordinates of the centre of the circle

Question 7The sum of three consecutive multiples of 8 is 888. Find the multiples.

If OD is the diameter of the circular arc, which of these relations could be true?

Which option follows the rule, no letter comes twice in any line?

Q started a business by investing Rs.2700. After sometime P joined him by investing Rs.3600, the share of the profit of P to that of Q after 14 months is 8:7. After how many months did P join the business?

Newton-Raphson method is used to compute a root of the equation 2x2+5x−9=0 with 4.5 as the initial value. The approximation after one iteration is ________2.15

What is the total production of units of C, D &amp; E together for both the years (in lakh tons)?

The total number of graduates who appeared for ES in 2008 is what percent of the total number of graduates who appeared for CS in the same year?

35.a ball is droped from a height .if it takes 0.200s to cross the last 6.00m before hitting the ground , find the height from which it was drrpped g=10m/s

37. Find the probability of 53 sundays in a leap year ?

Which of the following is NOT necessarily true?

Question 5Check whether 6n can end with the digit 0 for any natural number n.

How many goals were scored against Salgaocar in the third round? ___

What is the percentage increase in the production of Company Y from 1996 to 1999?

Based on JEE (Main) Pattern } 1.) If }z_1-3z_2+2z_3=0, then }z_1,z_2 and }z_3 are } (1)collinea} r } (2) Vertices of a triangle } (3) Three of the vertices of a square } (4) Three of the vertices of a rectangle

Question 3 (ii)In an AP:(ii) Given a = 7, a13=35, find d and S13.

The next number is the sequence 4, 8, 16, 28, 44, _____________.

The total number of foreign tourists who visited all three places on Tuesday together is what percent of the total number foreign tourists who visited Wagha Border on Monday and Wednesday together?

In a school there are 120 students, who participated in Cricket and Football. 50 of them played both games. The sum of number of students who played exactly one game and number of students who played none of the game is ___.

What is the total production of units of C, D & E together for both the years (in lakh tons)?