5411 + Interview Questions in Quantitative Aptitude Page 42 InterviewSolution

2051.	Two functions F(X) and F1(X) are defined for a variable 'x' as shown below: Mark (a) If F1(X) = F(X) Mark (b) If F1(X) = F(-X) Mark (c) If F1(X) = F(-X) Otherwise Mark (d). For example, If (a) is true for the first graph and (b) is true for the second, the answer should be ab. Input your answer in the space provided. ___
Answer» Two functions F(X) and F1(X) are defined for a variable 'x' as shown below: Mark (a) If F1(X) = F(X) Mark (b) If F1(X) = F(-X) Mark (c) If F1(X) = F(-X) Otherwise Mark (d). For example, If (a) is true for the first graph and (b) is true for the second, the answer should be ab. Input your answer in the space provided. ___

Discussion

2052.	A box contains 5 red, 8 blue and 3 green pens. Rutuja wants to pick a pen at random. What is the probability that the pen is blue?
Answer» A box contains 5 red, 8 blue and 3 green pens. Rutuja wants to pick a pen at random. What is the probability that the pen is blue?

Discussion

2053.	Find the smallest 6 digit number which is exactly divisible by 8, 15 and 18.
Answer» Find the smallest 6 digit number which is exactly divisible by 8, 15 and 18.

Discussion

2054.	Solution of equation 37x + 41y = 70; 41x + 37y = 86 is:
Answer» Solution of equation 37x + 41y = 70; 41x + 37y = 86 is:

Discussion

2055.	Answer the questions based on the information given below. A microorganism Xeta combines with another microorganism of its kind to form a single microorganism unit. If it does not find another Xeta every second, it dies. There are 2x−1 Xeta in the incubation flask initially. Xeta will find another Xeta provided it is there in the same chamber. The time taken by a Xeta added initially to die, increases by 1 second. How many more Xetas need to be added in the incubation flask to ensure that this happens?
Answer» Answer the questions based on the information given below. A microorganism Xeta combines with another microorganism of its kind to form a single microorganism unit. If it does not find another Xeta every second, it dies. There are $2^{x} - 1$ Xeta in the incubation flask initially. Xeta will find another Xeta provided it is there in the same chamber. The time taken by a Xeta added initially to die, increases by 1 second. How many more Xetas need to be added in the incubation flask to ensure that this happens?

Discussion

2056.	If the length is increased by 3 cm and the breadth is increased by 2 cm, the area of a rectangle increases by 67 cm2.But, if the length is reduced by 5 cm and the breadth is increased by 3 cm, the area reduces by 9 cm2.Find the area of the rectangle (in cm2).
Answer» $If the length is increased by 3 cm and the breadth is increased by 2 cm, the area of a rectangle increases by 67 c m^{2} . But, if the length is reduced by 5 cm and the breadth is increased by 3 cm, the area reduces by 9 c m^{2} . Find the area of the rectangle (i n c m^{2}) .$

Discussion

2057.	During 1991-2011, which two fuels meet more than 60% of the total energy demand of both the world and Asia ?
Answer» During 1991-2011, which two fuels meet more than $60 %$ of the total energy demand of both the world and Asia ?

Discussion

2058.	(i) What is the final weight obtained on adding 2 weights of 13 kg 750 g and 24 kg 500 g(ii) Subtract 38kg 500g from 45kg 250g.
Answer» (i) What is the final weight obtained on adding 2 weights of 13 kg 750 g and 24 kg 500 g (ii) Subtract 38kg 500g from 45kg 250g.

Discussion

2059.	Two sides of rhombus ABCD are parallel to the lines y = x + 2 and y = 7x + 3. If the diagonal of rhombus intersect at the point (1, 2) and the vertex A lies on y-axis find the possible co-ordinates of A.
Answer» Two sides of rhombus ABCD are parallel to the lines y = x + 2 and y = 7x + 3. If the diagonal of rhombus intersect at the point (1, 2) and the vertex A lies on y-axis find the possible co-ordinates of A.

Discussion

2060.	Find the sum of values of x for which 3\|x−8\|=9. 16
Answer» Find the sum of values of x for which $3 \| x - 8 \| = 9$ . 16

Discussion

2061.	The total amount with A and C is Rs.60 while with B and C is Rs.80. If the total amount with A, B and C is Rs.130, then what is the amount with C?
Answer» The total amount with A and C is Rs.60 while with B and C is Rs.80. If the total amount with A, B and C is Rs.130, then what is the amount with C?

Discussion

2062.	What was the amount with Uma at the end of the second game?___
Answer» What was the amount with Uma at the end of the second game?___

Discussion

2063.	ABCD is a parallelogram and X is the mid-point of AB. If ar(AXCD) = 24 cm2 , then ar(ΔABC) = ________.
Answer» ABCD is a parallelogram and X is the mid-point of AB. If ar(AXCD) = 24 cm² , then ar(ΔABC) = ________.

Discussion

2064.	49. A person sitting at the top of a tall building is dropping ball at regular intervals of one second.Find the positions of the 3rd,4th and 5th ball when the 6th ball is being dropped.
Answer» 49. A person sitting at the top of a tall building is dropping ball at regular intervals of one second.Find the positions of the 3rd,4th and 5th ball when the 6th ball is being dropped.

Discussion

2065.	12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in next 3 days?
Answer» 12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in next 3 days?

Discussion

2066.	10x when divided by 13 leaves a remainder = -1. If x is a natural number less than 100, then how many solutions are possible for x?
Answer» $10^{x}$ when divided by 13 leaves a remainder = -1. If x is a natural number less than 100, then how many solutions are possible for x?

Discussion

2067.	The average amount spent by an American Foreign National for staying in a hotel in city E is Rs 3800. The average amount spent by a North Indian for staying in a hotel in city D is Rs 2375. What is the difference in expenditure on hotel stay by these two non-local groups over the given period? (Assume that all the individuals in the above mentioned groups stay in hotels during this period)
Answer» The average amount spent by an American Foreign National for staying in a hotel in city E is Rs 3800. The average amount spent by a North Indian for staying in a hotel in city D is Rs 2375. What is the difference in expenditure on hotel stay by these two non-local groups over the given period? (Assume that all the individuals in the above mentioned groups stay in hotels during this period)

Discussion

2068.	The paint in a certain container is sufficient to paint an area equal to 9.375 sq.m. How many bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container?
Answer» The paint in a certain container is sufficient to paint an area equal to 9.375 sq.m. How many bricks of dimensions 22.5 cm $\times$ 10 cm $\times$ 7.5 cm can be painted out of this container?

Discussion

2069.	75.which term of the ap 5,9,13 will be 88 more than 37th term
Answer» 75.which term of the ap 5,9,13 will be 88 more than 37th term

Discussion

2070.	If the sum of n terms of an A.P. is nP+12n(n−1)Q, where P and Q are constants, then find the common difference.
Answer» If the sum of $n$ terms of an $A . P .$ is $n P + \frac{1}{2} n (n - 1) Q$ , where $P$ and $Q$ are constants, then find the common difference.

Discussion

2071.	What is the percentage loss incurred by the businessman in 2002 and 2005 together?
Answer» What is the percentage loss incurred by the businessman in 2002 and 2005 together?

Discussion

2072.	Write down divisibility rule for 7 with an example.
Answer» Write down divisibility rule for 7 with an example.

Discussion

2073.	Question 18The lower window of a house is at a height of 2m above the ground and its upper window is 4m vertically above the lower window. At certain instant the angles of elevation of a balloon from these windows are observed to be 60∘ and 30∘, respectively. Find the height of the balloon above the ground.
Answer» Question 18 The lower window of a house is at a height of 2m above the ground and its upper window is 4m vertically above the lower window. At certain instant the angles of elevation of a balloon from these windows are observed to be $60^{\circ}$ and $30^{\circ}$ , respectively. Find the height of the balloon above the ground.

Discussion

2074.	Find the missing number in the following table: 44685112675?
Answer» Find the missing number in the following table: $\begin{matrix} 4 & 4 & 68 5 & 1 & 126 7 & 5 & ? \end{matrix}$

Discussion

2075.	What is the remainder obtained when 96! + 97! Is divided by 9506 is
Answer» What is the remainder obtained when 96! + 97! Is divided by 9506 is

Discussion

2076.	In the figure the larger circle has dia 40 units and the smaller circle has dia 10 units. Both the circles touch each other at P and the smaller circle and ABCD touch each other at Q. PQ is the dia of the smaller circle. If ABCD is a square and Q is the mid point of AD, then its side is?
Answer» In the figure the larger circle has dia 40 units and the smaller circle has dia 10 units. Both the circles touch each other at P and the smaller circle and ABCD touch each other at Q. PQ is the dia of the smaller circle. If ABCD is a square and Q is the mid point of AD, then its side is?

2076.

In the figure the larger circle has dia 40 units and the smaller circle has dia 10 units. Both the circles touch each other at P and the smaller circle and ABCD touch each other at Q. PQ is the dia of the smaller circle. If ABCD is a square and Q is the mid point of AD, then its side is?

Answer»

In the figure the larger circle has dia 40 units and the smaller circle has dia 10 units. Both the circles touch each other at P and the smaller circle and ABCD touch each other at Q. PQ is the dia of the smaller circle. If ABCD is a square and Q is the mid point of AD, then its side is?

Discussion

2077.	A(-1,-1), B(6,1), C(8,8), D(x,y) are the four vertices of a rhombus taken in order. Find the co-ordinates of point D.
Answer» A(-1,-1), B(6,1), C(8,8), D(x,y) are the four vertices of a rhombus taken in order. Find the co-ordinates of point D.

Discussion

2078.	Find the next number in the sequence. 2, 3, 8, 63, __
Answer» Find the next number in the sequence. 2, 3, 8, 63, __

2078.

Find the next number in the sequence. 2, 3, 8, 63, __

Answer»

Find the next number in the sequence.

2, 3, 8, 63, __

Discussion

2079.	What can be the maximum points scored by the team which finishes 5th in the group stage matches ? ___
Answer» What can be the maximum points scored by the team which finishes 5^th in the group stage matches ? ___

Discussion

2080.	Out of 210 accidents that occurred on the DND Flyway, 50 resulted in Head Injury, 105 in Chest Injury and 56 in Limb Injury. 32 suffered both Head and Chest Injury, 30 suffered both Head and Limb Injury and 45 suffered both Limb and Chest Injuries. The minimum number of people who suffered all the three injuries is ___.
Answer» Out of 210 accidents that occurred on the DND Flyway, 50 resulted in Head Injury, 105 in Chest Injury and 56 in Limb Injury. 32 suffered both Head and Chest Injury, 30 suffered both Head and Limb Injury and 45 suffered both Limb and Chest Injuries. The minimum number of people who suffered all the three injuries is ___.

Discussion

2081.	Study the following table carefully to answer these questions: Percent of Marks obtained by six students in six subjects SubjectHistoryGeographyMathsScienceEnglishHindiMax.Marks75751001505060A826659766265B767265847475C567871668670D648068726680E486883885660F607479648085 What are the total marks obtained by ‘B’ in all the subjects together ?
Answer» Study the following table carefully to answer these questions: Percent of Marks obtained by six students in six subjects $\begin{matrix} S u b j e c t & H i s t o r y & G e o g r a p h y & M a t h s & S c i e n c e & E n g l i s h & H i n d i M a x . M a r k s & 75 & 75 & 100 & 150 & 50 & 60 A & 82 & 66 & 59 & 76 & 62 & 65 B & 76 & 72 & 65 & 84 & 74 & 75 C & 56 & 78 & 71 & 66 & 86 & 70 D & 64 & 80 & 68 & 72 & 66 & 80 E & 48 & 68 & 83 & 88 & 56 & 60 F & 60 & 74 & 79 & 64 & 80 & 85 \end{matrix}$ What are the total marks obtained by ‘B’ in all the subjects together ?

Discussion

2082.	If the population in the country in the year 1980 was 800 mn, how many million votes did the party secure in this election?
Answer» If the population in the country in the year 1980 was 800 mn, how many million votes did the party secure in this election?

Discussion

2083.	Two students appeared at an examination. A secured 50 marks more than B. 50% of the sum of marks secured by both A and B is equal to 100. The individual marks secured by A and B is respectively:
Answer» Two students appeared at an examination. A secured 50 marks more than B. 50% of the sum of marks secured by both A and B is equal to 100. The individual marks secured by A and B is respectively:

Discussion

2084.	An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency 10GHz. What is the frequency of the microwave measured by the observer?(speed of light =3×108 ms−1)
Answer» An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency $10 G H z$ . What is the frequency of the microwave measured by the observer? (speed of light $= 3 \times 10^{8} m s^{- 1}$ )

Discussion

2085.	Find the area of given triangle in cm2 [3 Marks]
Answer» Find the area of given triangle in $c m^{2}$ [3 Marks]

2085.

Find the area of given triangle in cm2 [3 Marks]

Answer»

Find the area of given triangle in $c m^{2}$ [3 Marks]

Discussion

2086.	Let k be an integer such that the triangle with vertices {k,-3k},{5,k} and{-k,2} has area 28sq.units . Then the orthocentre of the triangle is at the point:
Answer» Let k be an integer such that the triangle with vertices {k,-3k},{5,k} and{-k,2} has area 28sq.units . Then the orthocentre of the triangle is at the point:

Discussion

2087.	Given that −1≤v≤1,−2≤u≤−0.5 and−2≤z≤−0.5 and w=vzu, then which of the following is necessarily true?
Answer» Given that $- 1 \leq v \leq 1, - 2 \leq u \leq - 0.5 a n d - 2 \leq z \leq - 0.5$ and $w = \frac{v z}{u}$ , then which of the following is necessarily true?

Discussion

2088.	The ratio of the speed of a train and a car is 16 : 15. Also, a bus covered a distance of 480 km in 8 hours. The speed of the bus is three-fourth the speed of the train. How much distance will the car cover in 6 hours?
Answer» The ratio of the speed of a train and a car is 16 : 15. Also, a bus covered a distance of 480 km in 8 hours. The speed of the bus is three-fourth the speed of the train. How much distance will the car cover in 6 hours?

Discussion

2089.	If the five friends are ranked in descending order according to their total marks, Daya is ranked third and has one mark more than the person who ranked fourth. How much did Daya score in the GD? ___
Answer» If the five friends are ranked in descending order according to their total marks, Daya is ranked third and has one mark more than the person who ranked fourth. How much did Daya score in the GD? ___

Discussion

2090.	If x% of 75 is 12, then x =(a) 8(b) 10(c) 12(d) 16
Answer» If x% of 75 is 12, then x = (a) 8 (b) 10 (c) 12 (d) 16

Discussion

2091.	The remainder obtained when3450 is divided by 108 is
Answer» The remainder obtained when $3^{450}$ is divided by 108 is

Discussion

2092.	What is the slope of the line passing through the points (2, 8) and (-1, 4)?
Answer» What is the slope of the line passing through the points (2, 8) and (-1, 4)?

Discussion

2093.	33. The sum of the digits of a three digit number is 20. The middle digit is equal to one fourth the sum of the other two. If the order of the digits be reversed,the number increases the original number by 198. Find the original number.
Answer» 33. The sum of the digits of a three digit number is 20. The middle digit is equal to one fourth the sum of the other two. If the order of the digits be reversed,the number increases the original number by 198. Find the original number.

Discussion

2094.	If the arithmetic mean and harmonic mean of two distinct positive numbers is 16 and 4 respectively, then the geometric mean of the two numbers is
Answer» If the arithmetic mean and harmonic mean of two distinct positive numbers is 16 and 4 respectively, then the geometric mean of the two numbers is

Discussion

2095.	If the nth term of A.p. is 6n-5 then find the sum of the n-terms of AP in term of 'n'
Answer» If the nth term of A.p. is 6n-5 then find the sum of the n-terms of AP in term of 'n'

Discussion

2096.	O is the centre of the circle of radius 5 cm. T is a point such that OT = 13 cm and OT intersects the circle at E. If AB is tangent to the circle at E. Find the length of AB, where TP and TQ are tangents to the circle
Answer» O is the centre of the circle of radius 5 cm. T is a point such that OT = 13 cm and OT intersects the circle at E. If AB is tangent to the circle at E. Find the length of AB, where TP and TQ are tangents to the circle

Discussion

2097.	Aman and Bahadur are walking in the same direction beside a railroad track, and Aman is far behind Bahadur. Both walk at constant speeds, and Aman walks faster than Bahadur. A long train traveling at a constant speed in the same direction will take 10 seconds to pass Aman (from the front to the end) and will take 9 seconds to pass Bahadur. If it will take twenty minutes for the front of the train to travel from Aman to Bahadur, how many minutes will it take for Aman to catch up to Bahadur?
Answer» Aman and Bahadur are walking in the same direction beside a railroad track, and Aman is far behind Bahadur. Both walk at constant speeds, and Aman walks faster than Bahadur. A long train traveling at a constant speed in the same direction will take 10 seconds to pass Aman (from the front to the end) and will take 9 seconds to pass Bahadur. If it will take twenty minutes for the front of the train to travel from Aman to Bahadur, how many minutes will it take for Aman to catch up to Bahadur?

Discussion

2098.	When 60 kg of rice is sold from a bag containing 240 kg of rice, what percent of it remains in the bag?
Answer» When 60 kg of rice is sold from a bag containing 240 kg of rice, what percent of it remains in the bag?

Discussion

2099.	Consider x, y, z are three consecutive terms of a G.P. such that x + y + z = -120 and y = 80. Find xyz. ?
Answer» Consider x, y, z are three consecutive terms of a G.P. such that x + y + z = -120 and y = 80. Find xyz. ?

Discussion

2100.	Two dice are thrown simultaneously. The probability of getting an even number on both the dice is?
Answer» Two dice are thrown simultaneously. The probability of getting an even number on both the dice is?

Discussion

Explore topic-wise InterviewSolutions in .

A box contains 5 red, 8 blue and 3 green pens. Rutuja wants to pick a pen at random. What is the probability that the pen is blue?

Find the smallest 6 digit number which is exactly divisible by 8, 15 and 18.

Solution of equation 37x + 41y = 70; 41x + 37y = 86 is:

If the length is increased by 3 cm and the breadth is increased by 2 cm, the area of a rectangle increases by 67 cm2.But, if the length is reduced by 5 cm and the breadth is increased by 3 cm, the area reduces by 9 cm2.Find the area of the rectangle (in cm2).

During 1991-2011, which two fuels meet more than 60% of the total energy demand of both the world and Asia ?

(i) What is the final weight obtained on adding 2 weights of 13 kg 750 g and 24 kg 500 g(ii) Subtract 38kg 500g from 45kg 250g.

Two sides of rhombus ABCD are parallel to the lines y = x + 2 and y = 7x + 3. If the diagonal of rhombus intersect at the point (1, 2) and the vertex A lies on y-axis find the possible co-ordinates of A.

Find the sum of values of x for which 3|x−8|=9. 16

The total amount with A and C is Rs.60 while with B and C is Rs.80. If the total amount with A, B and C is Rs.130, then what is the amount with C?

What was the amount with Uma at the end of the second game?___

ABCD is a parallelogram and X is the mid-point of AB. If ar(AXCD) = 24 cm2 , then ar(ΔABC) = ________.

49. A person sitting at the top of a tall building is dropping ball at regular intervals of one second.Find the positions of the 3rd,4th and 5th ball when the 6th ball is being dropped.

10x when divided by 13 leaves a remainder = -1. If x is a natural number less than 100, then how many solutions are possible for x?

The paint in a certain container is sufficient to paint an area equal to 9.375 sq.m. How many bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container?

75.which term of the ap 5,9,13 will be 88 more than 37th term

If the sum of n terms of an A.P. is nP+12n(n−1)Q, where P and Q are constants, then find the common difference.

What is the percentage loss incurred by the businessman in 2002 and 2005 together?

Write down divisibility rule for 7 with an example.

Find the missing number in the following table: 44685112675?

What is the remainder obtained when 96! + 97! Is divided by 9506 is

In the figure the larger circle has dia 40 units and the smaller circle has dia 10 units. Both the circles touch each other at P and the smaller circle and ABCD touch each other at Q. PQ is the dia of the smaller circle. If ABCD is a square and Q is the mid point of AD, then its side is?

A(-1,-1), B(6,1), C(8,8), D(x,y) are the four vertices of a rhombus taken in order. Find the co-ordinates of point D.

Find the next number in the sequence. 2, 3, 8, 63, __

What can be the maximum points scored by the team which finishes 5th in the group stage matches ? ___

If the population in the country in the year 1980 was 800 mn, how many million votes did the party secure in this election?

Two students appeared at an examination. A secured 50 marks more than B. 50% of the sum of marks secured by both A and B is equal to 100. The individual marks secured by A and B is respectively:

An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency 10GHz. What is the frequency of the microwave measured by the observer?(speed of light =3×108 ms−1)

Find the area of given triangle in cm2 [3 Marks]

Let k be an integer such that the triangle with vertices {k,-3k},{5,k} and{-k,2} has area 28sq.units . Then the orthocentre of the triangle is at the point:

Given that −1≤v≤1,−2≤u≤−0.5 and−2≤z≤−0.5 and w=vzu, then which of the following is necessarily true?

The ratio of the speed of a train and a car is 16 : 15. Also, a bus covered a distance of 480 km in 8 hours. The speed of the bus is three-fourth the speed of the train. How much distance will the car cover in 6 hours?

If the five friends are ranked in descending order according to their total marks, Daya is ranked third and has one mark more than the person who ranked fourth. How much did Daya score in the GD? ___

If x% of 75 is 12, then x =(a) 8(b) 10(c) 12(d) 16

The remainder obtained when3450 is divided by 108 is

What is the slope of the line passing through the points (2, 8) and (-1, 4)?

33. The sum of the digits of a three digit number is 20. The middle digit is equal to one fourth the sum of the other two. If the order of the digits be reversed,the number increases the original number by 198. Find the original number.

If the arithmetic mean and harmonic mean of two distinct positive numbers is 16 and 4 respectively, then the geometric mean of the two numbers is

If the nth term of A.p. is 6n-5 then find the sum of the n-terms of AP in term of 'n'

O is the centre of the circle of radius 5 cm. T is a point such that OT = 13 cm and OT intersects the circle at E. If AB is tangent to the circle at E. Find the length of AB, where TP and TQ are tangents to the circle

When 60 kg of rice is sold from a bag containing 240 kg of rice, what percent of it remains in the bag?

Consider x, y, z are three consecutive terms of a G.P. such that x + y + z = -120 and y = 80. Find xyz. ?

Two dice are thrown simultaneously. The probability of getting an even number on both the dice is?