5411 + Interview Questions in Quantitative Aptitude Page 2 InterviewSolution

51.	Let A = {1, 2, 3} and B = {a, b} be two sets. Then the number of constant functions from A to B is ___________.
Answer» Let A = {1, 2, 3} and B = {a, b} be two sets. Then the number of constant functions from A to B is ___________.

Discussion

52.	Let f(x)=ax2+bx+c where a,b, and c are constants. If f(x) takes it maximum value at x=13, then which of the following is necessarily true?
Answer» Let $f (x) = a x^{2} + b x + c$ where a,b, and c are constants. If f(x) takes it maximum value at $x = \frac{1}{3},$ then which of the following is necessarily true?

Discussion

53.	A car is moving towards a building. When it is at a distance of 500 metres from the building, another car starts moving away from the building. The two cars meet at a distance of 100 metres from the building, at an angle of elevation of 600. Find the height of the building?
Answer» A car is moving towards a building. When it is at a distance of 500 metres from the building, another car starts moving away from the building. The two cars meet at a distance of 100 metres from the building, at an angle of elevation of 60⁰. Find the height of the building?

Discussion

54.	Find the roots of the equation 3x2+7x−20=0 by the method of completing square?
Answer» Find the roots of the equation $3 x^{2} + 7 x - 20 = 0$ by the method of completing square?

Discussion

55.	The area of a triangle is 5. Two of its vertices are (2, 1) and (3, -2). The third vetex lies on y = x + 3. Find the third vertex:
Answer» The area of a triangle is 5. Two of its vertices are (2, 1) and (3, -2). The third vetex lies on y = x + 3. Find the third vertex:

Discussion

56.	There are 300 people in a locality. Every person in the locality reads 5 different magazines and every magazine is read by 60 people. How many different magazines are there?
Answer» There are 300 people in a locality. Every person in the locality reads 5 different magazines and every magazine is read by 60 people. How many different magazines are there?

Discussion

57.	\|x-3 \|+\|x+5\|=8 find the interval of x
Answer» \|x-3 \|+\|x+5\|=8 find the interval of x

Discussion

58.	A particle complete half revolution on a circular path of radius 14 m in 6 seconds. The average velocity of the particle is 4.66 m s-1 7.33 m s-1 6.22 m s-1 3.44 m s-1
Answer» A particle complete half revolution on a circular path of radius 14 m in 6 seconds. The average velocity of the particle is 4.66 m s-1 7.33 m s-1 6.22 m s-1 3.44 m s-1

Discussion

59.	The price of an article is raised by 30% and then two successive discounts of 10% each are allowed. Ultimately, the gain he received is
Answer» The price of an article is raised by 30% and then two successive discounts of 10% each are allowed. Ultimately, the gain he received is

Discussion

60.	A swimmer can swim 10 km in 2 hours when swimming along the flow of a river. While swimming against the flow, she takes 5 hours for the same distance. Her speed in still water (in km/h) is
Answer» A swimmer can swim 10 km in 2 hours when swimming along the flow of a river. While swimming against the flow, she takes 5 hours for the same distance. Her speed in still water (in km/h) is

Discussion

61.	The total number of students who visited Jodhpur is approximately what percent ofthe numberr of girls who visited Ajmer?
Answer» The total number of students who visited Jodhpur is approximately what percent ofthe numberr of girls who visited Ajmer?

Discussion

62.	What is the original number, if the sum of the digits of a two-digit number is 7. By interchanging the digits is 27 more than the original number?
Answer» What is the original number, if the sum of the digits of a two-digit number is $7$ . By interchanging the digits is $27$ more than the original number?

Discussion

63.	The equation of a plane through the line of intersection of the planes x + 2y = 3, y –2z + 1= 0, and perpendicular to the first plane is:
Answer» The equation of a plane through the line of intersection of the planes x + 2y = 3, y –2z + 1= 0, and perpendicular to the first plane is:

Discussion

64.	The sum of three consecutive terms of an A.P. is 27 and the product is 693. Find the possible common difference of A.P.
Answer» The sum of three consecutive terms of an A.P. is 27 and the product is 693. Find the possible common difference of A.P.

Discussion

65.	Consider a circle with unit radius. There are seven adjacent sectors, S1,S2,S3,....S7, in the circle such that their total area is 18 of the area of the circle. Further, the area of the jth sector is twice that of the (j–1)th sector, for j = 2,....,7. Find the ratio of area of S1 to the circle.
Answer» Consider a circle with unit radius. There are seven adjacent sectors, $S_{1}, S_{2}, S_{3}, . . . . S_{7}$ , in the circle such that their total area is $\frac{1}{8}$ of the area of the circle. Further, the area of the jth sector is twice that of the $(j - 1)^{t h}$ sector, for j = 2,....,7. Find the ratio of area of $S_{1}$ to the circle.

Discussion

66.	A box contains 2 blue, 3 green and 5 red balls. If three balls are drawn at random, what is the probability that all balls are different in color?
Answer» A box contains 2 blue, 3 green and 5 red balls. If three balls are drawn at random, what is the probability that all balls are different in color?

Discussion

67.	Find the highest power of 5625 that can exactly divide 565!.
Answer» Find the highest power of 5625 that can exactly divide 565!.

Discussion

68.	Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 km respectively. The minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km per hour is___
Answer» Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 km respectively. The minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km per hour is___

Discussion

69.	sin{2 tan−1√1−x1+x}
Answer» $s i n {2 t a n^{- 1} \sqrt{\frac{1 - x}{1 + x}}}$

Discussion

70.	Find the centre of the circle passing through the points ( - 3, - 1 ), ( - 1,3 ) and ( 6,2 ).
Answer» Find the centre of the circle passing through the points ( - 3, - 1 ), ( - 1,3 ) and ( 6,2 ).

Discussion

71.	In how many ways atleast 5 students can be selected from 9 students.
Answer» In how many ways atleast 5 students can be selected from 9 students.

Discussion

72.	A bus is moving on a straight road with speed 10 m/s and a scooterist wants to overtake the bus which is at 1 km distance in 100 seconds .with what speed should scooterist chase the bus ?
Answer» A bus is moving on a straight road with speed 10 m/s and a scooterist wants to overtake the bus which is at 1 km distance in 100 seconds .with what speed should scooterist chase the bus ?

Discussion

73.	By selling a scooter for Rs. 9,200, a man gains 15 %. Find the cost price of the scooter.
Answer» By selling a scooter for Rs. $9, 200$ , a man gains $15 %$ . Find the cost price of the scooter.

Discussion

74.	I want worksheet on indices for practice. Can solution also be provided
Answer» I want worksheet on indices for practice. Can solution also be provided

Discussion

75.	705,813,822,902,1056 find the wrong term in number serie
Answer» 705,813,822,902,1056 find the wrong term in number serie

Discussion

76.	In a circular dartboard of radius 20 cm, there are 5 concentric circles. The radius of each successive inner concentric circle is 4 cm less than the preceding the outer concentric circle. What is the probability that the dart hits the smallest circle?
Answer» In a circular dartboard of radius 20 cm, there are 5 concentric circles. The radius of each successive inner concentric circle is 4 cm less than the preceding the outer concentric circle. What is the probability that the dart hits the smallest circle?

Discussion

77.	How can we separate the RNA from the sample? Is it easy and less expansive?
Answer» How can we separate the RNA from the sample? Is it easy and less expansive?

Discussion

78.	Two positions of a dice are shown below. Which number will appear on the face opposite to the face with the number 5?
Answer» Two positions of a dice are shown below. Which number will appear on the face opposite to the face with the number 5?

Discussion

79.	If the weight of dry raisins is W1 and that of soaked raisins is W2 ,then the correct equation for calculating the percentage of water absorbed by raisins will be :(1) W1-W2(2) W2-W1(3) W2-W1W1×100(4) W1-W2W2×100
Answer» If the weight of dry raisins is W₁ and that of soaked raisins is W₂ ,then the correct equation for calculating the percentage of water absorbed by raisins will be : (1) W₁-W₂ (2) W₂-W₁ (3) $\frac{W_{2} - W_{1}}{W_{1}} \times 100$ (4) $\frac{W_{1} - W_{2}}{W_{2}} \times 100$

Discussion

80.	In which of the given years was the value per piece minimum?
Answer» In which of the given years was the value per piece minimum?

Discussion

81.	Replace * by correct digit in the following:
Answer» Replace * by correct digit in the following:

Discussion

82.	Question 71The marked price of an article is Rs. 500. The shopkeeper gives a discount of 5% and still makes a profit of 25%. Find the cost price of the article.
Answer» Question 71 The marked price of an article is Rs. 500. The shopkeeper gives a discount of 5% and still makes a profit of 25%. Find the cost price of the article.

82.

Question 71The marked price of an article is Rs. 500. The shopkeeper gives a discount of 5% and still makes a profit of 25%. Find the cost price of the article.

Answer»

Question 71

The marked price of an article is Rs. 500. The shopkeeper gives a discount of 5% and still makes a profit of 25%. Find the cost price of the article.

Discussion

83.	Write first five multiplies of: (a) 5 (b) 8 (c) 9
Answer» Write first five multiplies of: (a) 5 (b) 8 (c) 9

83.

Write first five multiplies of: (a) 5 (b) 8 (c) 9

Answer»

Write
first five multiplies of:

(a) 5 (b) 8 (c) 9

Discussion

84.	find the zeroes of x-2.
Answer» find the zeroes of x-2.

Discussion

85.	The maximum speed of a train is 90km/h. It covers a distance of 500 km in 10 h. Find the ratio of its average speed to its maximum speed.
Answer» The maximum speed of a train is 90km/h. It covers a distance of 500 km in 10 h. Find the ratio of its average speed to its maximum speed.

Discussion

86.	How many parallelograms are three in a hexagon
Answer» How many parallelograms are three in a hexagon

Discussion

87.	Solve the question {(8x+19)18}={(4x+3)9}+{(29−7x)(12−5x)}
Answer» Solve the question ${\frac{(8 x + 19)}{18}} = {\frac{(4 x + 3)}{9}} + {\frac{(29 - 7 x)}{(12 - 5 x)}}$

Discussion

88.	Ashita and Lakshita are employees working in Dazzling enterprises dealing in costume jewellery. The firm secured an urgent order for 1,000 bracelets that were to be delivered within 4 days. They were assigned the responsibility of producing 500 bracelets each at a cost of Rs 100 per bracelet.Ashita was able to produce the required number within the stipulated time at the cost of Rs 55,000 whereas, Lakshita was able to produce only 450 units at a cost of Rs 90 per unit. State whether Ashita and Lakshita are efficient and effective. Give reasons to justify your answer.
Answer» Ashita and Lakshita are employees working in Dazzling enterprises dealing in costume jewellery. The firm secured an urgent order for 1,000 bracelets that were to be delivered within 4 days. They were assigned the responsibility of producing 500 bracelets each at a cost of Rs 100 per bracelet. Ashita was able to produce the required number within the stipulated time at the cost of Rs 55,000 whereas, Lakshita was able to produce only 450 units at a cost of Rs 90 per unit. State whether Ashita and Lakshita are efficient and effective. Give reasons to justify your answer.

Discussion

89.	10. If the arithmetic mean of n numbers of a series is X and the sum of ( n-1 ) number is k , then nth number is :
Answer» 10. If the arithmetic mean of n numbers of a series is X and the sum of ( n-1 ) number is k , then nth number is :

Discussion

90.	The maximum speed on a BG main track if 100 kmph. The track meets a circular curve of radius 275m. The super elevation to be provided is (in cm).40.49
Answer» The maximum speed on a BG main track if 100 kmph. The track meets a circular curve of radius 275m. The super elevation to be provided is (in cm). 40.49

Discussion

91.	Find the tenth term of the sequence: 15,13,1,−1,........
Answer» Find the tenth term of the sequence: $\frac{1}{5}, \frac{1}{3}, 1, - 1, . . . . . . . .$

Discussion

92.	In a row of girls, Rita and Monika occupy the ninth place from the right end and tenth place from the left end, respectively. If they interchange their places, then Rita and Monika occupy 17th place from the right and 18th place from the left respectively. How many girls are there in the row?
Answer» In a row of girls, Rita and Monika occupy the ninth place from the right end and tenth place from the left end, respectively. If they interchange their places, then Rita and Monika occupy 17 $^{t h}$ place from the right and 18 $^{t h}$ place from the left respectively. How many girls are there in the row?

Discussion

93.	13. M is a point lying outside the circle, whose centre is O. MP and MQ are tangents to the circle at P and Q respectively. If a tangent RS is drawn at point N lying on the major arc PNQ to intersect MP produced at R and MQ produced at S and PQ//RS, then prove that the perimeter of MRS is 2(MP+RS)?
Answer» 13. M is a point lying outside the circle, whose centre is O. MP and MQ are tangents to the circle at P and Q respectively. If a tangent RS is drawn at point N lying on the major arc PNQ to intersect MP produced at R and MQ produced at S and PQ//RS, then prove that the perimeter of MRS is 2(MP+RS)?

Discussion

94.	Question 126The cells of a bacteria double itself every hour. How many cells will be there after 8 hours, if initially we start with 1 cell. Express the answer in powers.
Answer» Question 126 The cells of a bacteria double itself every hour. How many cells will be there after 8 hours, if initially we start with 1 cell. Express the answer in powers.

94.

Question 126The cells of a bacteria double itself every hour. How many cells will be there after 8 hours, if initially we start with 1 cell. Express the answer in powers.

Answer»

Question 126

The cells of a bacteria double itself every hour. How many cells will be there after 8 hours, if initially we start with 1 cell. Express the answer in powers.

Discussion

95.	In how many ways a team of 11 players can be formed out of 25 players, if 6 out of them are always to be included and 5 are always to be excluded.
Answer» In how many ways a team of 11 players can be formed out of 25 players, if 6 out of them are always to be included and 5 are always to be excluded.

Discussion

96.	Parul and Vijay throw 3 dice in a single throw. It is known that Parul throws a total of 16. Find Vijay’s probability of getting a higher value.
Answer» Parul and Vijay throw 3 dice in a single throw. It is known that Parul throws a total of 16. Find Vijay’s probability of getting a higher value.

Discussion

97.	India has signed how much amount of loan agreement with World Bank for the Tamil Nadu Irrigated Agriculture Modernization Project ?
Answer» India has signed how much amount of loan agreement with World Bank for the Tamil Nadu Irrigated Agriculture Modernization Project ?

Discussion

98.	For the given triangle, find the relation between AC, BC, and CD.
Answer» For the given triangle, find the relation between AC, BC, and CD.

Discussion

99.	A person wrote first N consecutive numbers (natural) on a board and found their sum. Another person came and deleted the smallest number and found the sum of remaining numbers. The process continued until N remained on the board. The average of all the sums is found out to be 105. Find N.
Answer» A person wrote first N consecutive numbers (natural) on a board and found their sum. Another person came and deleted the smallest number and found the sum of remaining numbers. The process continued until N remained on the board. The average of all the sums is found out to be 105. Find N.

Discussion

100.	Two numbers a and b are chosen at random from the set of first 30 natural numbers. The probability that a2−b2 is divisible by 3 is:
Answer» Two numbers a and b are chosen at random from the set of first 30 natural numbers. The probability that $a^{2} - b^{2}$ is divisible by 3 is:

Discussion

Explore topic-wise InterviewSolutions in .

Let A = {1, 2, 3} and B = {a, b} be two sets. Then the number of constant functions from A to B is ___________.

Let f(x)=ax2+bx+c where a,b, and c are constants. If f(x) takes it maximum value at x=13, then which of the following is necessarily true?

A car is moving towards a building. When it is at a distance of 500 metres from the building, another car starts moving away from the building. The two cars meet at a distance of 100 metres from the building, at an angle of elevation of 600. Find the height of the building?

Find the roots of the equation 3x2+7x−20=0 by the method of completing square?

The area of a triangle is 5. Two of its vertices are (2, 1) and (3, -2). The third vetex lies on y = x + 3. Find the third vertex:

There are 300 people in a locality. Every person in the locality reads 5 different magazines and every magazine is read by 60 people. How many different magazines are there?

|x-3 |+|x+5|=8 find the interval of x

A particle complete half revolution on a circular path of radius 14 m in 6 seconds. The average velocity of the particle is 4.66 m s-1 7.33 m s-1 6.22 m s-1 3.44 m s-1

The price of an article is raised by 30% and then two successive discounts of 10% each are allowed. Ultimately, the gain he received is

A swimmer can swim 10 km in 2 hours when swimming along the flow of a river. While swimming against the flow, she takes 5 hours for the same distance. Her speed in still water (in km/h) is

The total number of students who visited Jodhpur is approximately what percent ofthe numberr of girls who visited Ajmer?

What is the original number, if the sum of the digits of a two-digit number is 7. By interchanging the digits is 27 more than the original number?

The equation of a plane through the line of intersection of the planes x + 2y = 3, y –2z + 1= 0, and perpendicular to the first plane is:

The sum of three consecutive terms of an A.P. is 27 and the product is 693. Find the possible common difference of A.P.

Consider a circle with unit radius. There are seven adjacent sectors, S1,S2,S3,....S7, in the circle such that their total area is 18 of the area of the circle. Further, the area of the jth sector is twice that of the (j–1)th sector, for j = 2,....,7. Find the ratio of area of S1 to the circle.

A box contains 2 blue, 3 green and 5 red balls. If three balls are drawn at random, what is the probability that all balls are different in color?

Find the highest power of 5625 that can exactly divide 565!.

Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 km respectively. The minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km per hour is___

sin{2 tan−1√1−x1+x}

Find the centre of the circle passing through the points ( - 3, - 1 ), ( - 1,3 ) and ( 6,2 ).

In how many ways atleast 5 students can be selected from 9 students.

A bus is moving on a straight road with speed 10 m/s and a scooterist wants to overtake the bus which is at 1 km distance in 100 seconds .with what speed should scooterist chase the bus ?

By selling a scooter for Rs. 9,200, a man gains 15 %. Find the cost price of the scooter.

I want worksheet on indices for practice. Can solution also be provided

705,813,822,902,1056 find the wrong term in number serie

In a circular dartboard of radius 20 cm, there are 5 concentric circles. The radius of each successive inner concentric circle is 4 cm less than the preceding the outer concentric circle. What is the probability that the dart hits the smallest circle?

How can we separate the RNA from the sample? Is it easy and less expansive?

Two positions of a dice are shown below. Which number will appear on the face opposite to the face with the number 5?

If the weight of dry raisins is W1 and that of soaked raisins is W2 ,then the correct equation for calculating the percentage of water absorbed by raisins will be :(1) W1-W2(2) W2-W1(3) W2-W1W1×100(4) W1-W2W2×100

In which of the given years was the value per piece minimum?

Replace * by correct digit in the following:

Question 71The marked price of an article is Rs. 500. The shopkeeper gives a discount of 5% and still makes a profit of 25%. Find the cost price of the article.

Write first five multiplies of: (a) 5 (b) 8 (c) 9

find the zeroes of x-2.

The maximum speed of a train is 90km/h. It covers a distance of 500 km in 10 h. Find the ratio of its average speed to its maximum speed.

How many parallelograms are three in a hexagon

Solve the question {(8x+19)18}={(4x+3)9}+{(29−7x)(12−5x)}

10. If the arithmetic mean of n numbers of a series is X and the sum of ( n-1 ) number is k , then nth number is :

The maximum speed on a BG main track if 100 kmph. The track meets a circular curve of radius 275m. The super elevation to be provided is (in cm).40.49

Find the tenth term of the sequence: 15,13,1,−1,........

In a row of girls, Rita and Monika occupy the ninth place from the right end and tenth place from the left end, respectively. If they interchange their places, then Rita and Monika occupy 17th place from the right and 18th place from the left respectively. How many girls are there in the row?

13. M is a point lying outside the circle, whose centre is O. MP and MQ are tangents to the circle at P and Q respectively. If a tangent RS is drawn at point N lying on the major arc PNQ to intersect MP produced at R and MQ produced at S and PQ//RS, then prove that the perimeter of MRS is 2(MP+RS)?

Question 126The cells of a bacteria double itself every hour. How many cells will be there after 8 hours, if initially we start with 1 cell. Express the answer in powers.

In how many ways a team of 11 players can be formed out of 25 players, if 6 out of them are always to be included and 5 are always to be excluded.

Parul and Vijay throw 3 dice in a single throw. It is known that Parul throws a total of 16. Find Vijay’s probability of getting a higher value.

India has signed how much amount of loan agreement with World Bank for the Tamil Nadu Irrigated Agriculture Modernization Project ?

For the given triangle, find the relation between AC, BC, and CD.

A person wrote first N consecutive numbers (natural) on a board and found their sum. Another person came and deleted the smallest number and found the sum of remaining numbers. The process continued until N remained on the board. The average of all the sums is found out to be 105. Find N.

Two numbers a and b are chosen at random from the set of first 30 natural numbers. The probability that a2−b2 is divisible by 3 is: