5411 + Interview Questions in Quantitative Aptitude Page 70 InterviewSolution

3451.	In how many ways can you put 7 letters into their respective envelopes such that exactly 3 go into the right envelope?___.
Answer» In how many ways can you put 7 letters into their respective envelopes such that exactly 3 go into the right envelope?___.

Discussion

3452.	How many days’ gap was there between the days on which A and E worked overtime?
Answer» How many days’ gap was there between the days on which A and E worked overtime?

Discussion

3453.	Find the difference between half of 1800 and 4 Hundreds & 50 ones.
Answer» Find the difference between half of 1800 and 4 Hundreds & 50 ones.

Discussion

3454.	A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
Answer» A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

Discussion

3455.	A watch loses 90 seconds in an hour and the watch owner adjusts the time lost by the watch in one day at the end of 48 hrs. After how many days will the watch show the correct time before the watch owner adjust the time?
Answer» A watch loses 90 seconds in an hour and the watch owner adjusts the time lost by the watch in one day at the end of 48 hrs. After how many days will the watch show the correct time before the watch owner adjust the time?

Discussion

3456.	A and B can do a piece of work in 30 days. B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days then B and C leave. How many days more will A take to finish the remaining work?
Answer» A and B can do a piece of work in 30 days. B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days then B and C leave. How many days more will A take to finish the remaining work?

Discussion

3457.	The harmonic mean of sum of first n natural numbers and sum of cubes of first n natural numbers is
Answer» The harmonic mean of sum of first n natural numbers and sum of cubes of first n natural numbers is

Discussion

3458.	How is Nikhil related to Rama? I. Nikhil is the only grandson of Rama's father-in-law. II. Rama has no brother-in-law or sister-in-law.
Answer» How is Nikhil related to Rama? I. Nikhil is the only grandson of Rama's father-in-law. II. Rama has no brother-in-law or sister-in-law.

3458.

How is Nikhil related to Rama? I. Nikhil is the only grandson of Rama's father-in-law. II. Rama has no brother-in-law or sister-in-law.

Answer»

How is Nikhil related to Rama?

I. Nikhil is the only grandson of Rama's father-in-law.

II. Rama has no brother-in-law or sister-in-law.

Discussion

3459.	After school(S), Feroz can either go to circus(C) or to a movie theatre(T), after which he goes home. The ways in which he can go from one place to other are given as paths shown. The number of ways Feroz can go from School to Home is given by
Answer» After school(S), Feroz can either go to circus(C) or to a movie theatre(T), after which he goes home. The ways in which he can go from one place to other are given as paths shown. The number of ways Feroz can go from School to Home is given by

3459.

After school(S), Feroz can either go to circus(C) or to a movie theatre(T), after which he goes home. The ways in which he can go from one place to other are given as paths shown. The number of ways Feroz can go from School to Home is given by

Answer»

After school(S), Feroz can either go to circus(C) or to a movie theatre(T), after which he goes home. The ways in which he can go from one place to other are given as paths shown. The number of ways Feroz can go from School to Home is given by

Discussion

3460.	It is given that (232+1) is exactly divisible by a certain number. Which of the following is also definitely divisible by the same number?
Answer» It is given that $(2^{32} + 1)$ is exactly divisible by a certain number. Which of the following is also definitely divisible by the same number?

Discussion

3461.	In a queue, Shikhar is 9th from the back. Arun’s place is 8th from the front. Nikhil is standing between the two. What could be the minimum number of boys standing in the queue?
Answer» In a queue, Shikhar is 9 $^{t h}$ from the back. Arun’s place is 8 $^{t h}$ from the front. Nikhil is standing between the two. What could be the minimum number of boys standing in the queue?

Discussion

3462.	(31)3×(31)−27=?
Answer» $(31)^{3} \times (31)^{- 27} = ?$

Discussion

3463.	Show that x2+4x+7 has no zero
Answer» Show that $x^{2} + 4 x + 7$ has no zero

Discussion

3464.	If 360 = 2x×3y×5z, then x + y + z___
Answer» If 360 = $2^{x} \times 3^{y} \times 5^{z}$ , then x + y + z___

Discussion

3465.	Milk in a container, which is in the form of a frustum of a cone of height n= 30 cm and the radii of whose lower and upper circular ends are 20 cm and 40 cm respectively, is to be distributed in a camp for flood victims. If this milk is available at the rate of Rs 35 per litre and 880 litres of milk is needed daily for camp, find how many such containers of milk are needed for a camp?
Answer» Milk in a container, which is in the form of a frustum of a cone of height n= 30 cm and the radii of whose lower and upper circular ends are 20 cm and 40 cm respectively, is to be distributed in a camp for flood victims. If this milk is available at the rate of Rs 35 per litre and 880 litres of milk is needed daily for camp, find how many such containers of milk are needed for a camp?

Discussion

3466.	Find the value of a6−1a3,given that a2−1a=2.
Answer» Find the value of $\frac{a^{6} - 1}{a^{3}}$ ,given that $\frac{a^{2} - 1}{a} = 2$ .

Discussion

3467.	What is curve fitting?
Answer» What is curve fitting?

Discussion

3468.	Tarapore Committee recommended that before capital account was made convertible the rate of inflation should be brought down for three years within:
Answer» Tarapore Committee recommended that before capital account was made convertible the rate of inflation should be brought down for three years within:

Discussion

3469.	Two spheres of radii 6 cm and 1 cm are inscribed inside a right circular cone. The bigger sphere touches the smaller sphere and also the base of the cone. What is the height of the cone?
Answer» Two spheres of radii 6 cm and 1 cm are inscribed inside a right circular cone. The bigger sphere touches the smaller sphere and also the base of the cone. What is the height of the cone?

Discussion

3470.	In the given equilateral triangle, the smaller circle and the bigger semi circle are inscribed inside. What is the value of XY
Answer» In the given equilateral triangle, the smaller circle and the bigger semi circle are inscribed inside. What is the value of $\frac{X}{Y}$

3470.

In the given equilateral triangle, the smaller circle and the bigger semi circle are inscribed inside. What is the value of XY

Answer»

In the given equilateral triangle, the smaller circle and the bigger semi circle are inscribed inside. What is the value of $\frac{X}{Y}$

Discussion

3471.	What is the ratio of the total female population of Tamil Nadu and Jharkhand together to the total male population of these two states together?
Answer» What is the ratio of the total female population of Tamil Nadu and Jharkhand together to the total male population of these two states together?

Discussion

3472.	Which is the least number that must be subtracted from 1856 so that the remainder when divided by 7, 12, and 16 is 4? (CAT 1994)
Answer» Which is the least number that must be subtracted from 1856 so that the remainder when divided by 7, 12, and 16 is 4? (CAT 1994)

3472.

Which is the least number that must be subtracted from 1856 so that the remainder when divided by 7, 12, and 16 is 4? (CAT 1994)

Answer»

Which is the least number that must be subtracted from 1856 so that the remainder when divided by 7, 12, and 16 is 4?

(CAT 1994)

Discussion

3473.	In the figure find the area outside the trapezium, given square is of side 16 cm. The area is ___.
Answer» In the figure find the area outside the trapezium, given square is of side 16 cm. The area is ___.

Discussion

3474.	In these a question is followed by two statements (I) and (II). Choose a, if statement (I) is sufficient to answer the question asked, but statement (II) by itself is not sufficient to answer the question. Choose b, if statement (II) by itself is sufficient to answer the question, but statement (I) alone is not sufficient to answer the question. Choose c, if both the statements (I) and (II) together are sufficient to answer the question but neither statement by itself is sufficient to answer the question. Choose d, if the two statements, even when taken together, are not sufficient to answer the question. Q9. Did a candidate X in an election receive more than 40% of the 30,000 votes cast? I. Candidate Y received 45% of the votes. II. Candidate X received exactly 11,000 votes.
Answer» In these a question is followed by two statements (I) and (II). Choose a, if statement (I) is sufficient to answer the question asked, but statement (II) by itself is not sufficient to answer the question. Choose b, if statement (II) by itself is sufficient to answer the question, but statement (I) alone is not sufficient to answer the question. Choose c, if both the statements (I) and (II) together are sufficient to answer the question but neither statement by itself is sufficient to answer the question. Choose d, if the two statements, even when taken together, are not sufficient to answer the question. Q9. Did a candidate X in an election receive more than 40% of the 30,000 votes cast? I. Candidate Y received 45% of the votes. II. Candidate X received exactly 11,000 votes.

3474.

In these a question is followed by two statements (I) and (II). Choose a, if statement (I) is sufficient to answer the question asked, but statement (II) by itself is not sufficient to answer the question. Choose b, if statement (II) by itself is sufficient to answer the question, but statement (I) alone is not sufficient to answer the question. Choose c, if both the statements (I) and (II) together are sufficient to answer the question but neither statement by itself is sufficient to answer the question. Choose d, if the two statements, even when taken together, are not sufficient to answer the question. Q9. Did a candidate X in an election receive more than 40% of the 30,000 votes cast? I. Candidate Y received 45% of the votes. II. Candidate X received exactly 11,000 votes.

Answer»

In these a question is followed by two statements (I) and (II). Choose a, if statement (I) is sufficient to answer the question asked, but statement (II) by itself is not sufficient to answer the question. Choose b, if statement (II) by itself is sufficient to answer the question, but statement (I) alone is not sufficient to answer the question. Choose c, if both the statements (I) and (II) together are sufficient to answer the question but neither statement by itself is sufficient to answer the question. Choose d, if the two statements, even when taken together, are not sufficient to answer the question.

Q9. Did a candidate X in an election receive more than 40% of the 30,000 votes cast?

I. Candidate Y received 45% of the votes.

II. Candidate X received exactly 11,000 votes.

Discussion

3475.	The equation to the line bisecting the join of (3,-4) and (5,2) and having its intercepts on the x-axis and the y-axis in the ratio 2 : 1 is
Answer» The equation to the line bisecting the join of (3,-4) and (5,2) and having its intercepts on the x-axis and the y-axis in the ratio 2 : 1 is

Discussion

3476.	If the area of a regular octagon is 8 (√2+1)cm2, the side length of octagon is -
Answer» If the area of a regular octagon is 8 $(\sqrt{2} + 1)$ $c m^{2}$ , the side length of octagon is -

Discussion

3477.	A invested Rs. 3000 in a business and B joined him after 3 months investing Rs.4000. If the ratio of the profit share of A to that of B after 1 year is xy . Find the relation between x and y.
Answer» A invested Rs. 3000 in a business and B joined him after 3 months investing Rs.4000. If the ratio of the profit share of A to that of B after 1 year is $\frac{x}{y}$ . Find the relation between x and y.

Discussion

3478.	In the previous question, if in 1994 prices increased by 5%, 1% and 10% while the volume of sales break-up was 40%, 30% and 30% for plywood, saw timber and logs respectively, then want was the average realization?
Answer» In the previous question, if in 1994 prices increased by 5%, 1% and 10% while the volume of sales break-up was 40%, 30% and 30% for plywood, saw timber and logs respectively, then want was the average realization?

Discussion

3479.	Find the length of the tangent from P to the circle with centre O as shown in the figure.
Answer» Find the length of the tangent from P to the circle with centre O as shown in the figure.

3479.

Find the length of the tangent from P to the circle with centre O as shown in the figure.

Answer»

Find the length of the tangent from P to the circle with centre O as shown in the figure.

Discussion

3480.	What is Amita's age?
Answer» What is Amita's age?

Discussion

3481.	In the given figure AB\|\|CD,∠BAE=45∘,∠DCE=50∘ and ∠CED=x, then find the value of x.
Answer» In the given figure $A B \| \| C D, ∠ B A E = 45^{\circ}, ∠ D C E = 50^{\circ}$ and $∠ C E D = x$ , then find the value of x.

Discussion

3482.	The number of x digit numbers in nth base system will be
Answer» The number of x digit numbers in $n^{t h}$ base system will be

Discussion

3483.	If sin θ=x+ax for all x ∈R−{0}, then which one of the following is correct?
Answer» $I f s i n θ = x + \frac{a}{x} f o r a l l x \in R - {0}$ , then which one of the following is correct?

Discussion

3484.	The total cost of a certain length of a piece of cloth is Rs 200. If the piece was 5 cm longer and each metre of cloth costs Rs 2 less, the cost of the piece would have remained unchanged. How long is the piece and what is its original rate per metre?
Answer» The total cost of a certain length of a piece of cloth is Rs 200. If the piece was 5 cm longer and each metre of cloth costs Rs 2 less, the cost of the piece would have remained unchanged. How long is the piece and what is its original rate per metre?

Discussion

3485.	Which of these words/numbers would be seventh (from right side) in Step VI for the input?
Answer» Which of these words/numbers would be seventh (from right side) in Step VI for the input?

Discussion

3486.	What is the difference between the numbers of vehicles manufactured by Company Y in 2000 and 2001 ?
Answer» What is the difference between the numbers of vehicles manufactured by Company Y in 2000 and 2001 ?

Discussion

3487.	If a metallic cuboid weighs 16 kg, what would be the weight of the new cuboid of metal, if all dimensions are reduced to one – fourth of the original?
Answer» If a metallic cuboid weighs 16 kg, what would be the weight of the new cuboid of metal, if all dimensions are reduced to one – fourth of the original?

Discussion

3488.	The sum of all the three digit numbers which when divided by 8 give a remainder of 5 is___
Answer» The sum of all the three digit numbers which when divided by 8 give a remainder of 5 is___

Discussion

3489.	The product of two two-digit numbers is 2160 and their G.C.D is 12. The numbers are:
Answer» The product of two two-digit numbers is 2160 and their G.C.D is 12. The numbers are:

Discussion

3490.	An iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm if the sides of the sheet are in the ratio 1:5, the sides of the rectangular sheet are
Answer» An iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm if the sides of the sheet are in the ratio 1:5, the sides of the rectangular sheet are

Discussion

3491.	Find the cube root of 30, 000.
Answer» Find the cube root of 30, 000.

Discussion

3492.	Q. A shopkeeper has deposited all of the old toys in his shop into a basket and put it for sale at the rate of Rs. 99 per toy. There are three less Pokemon toys than Barbie toys and five more Pokemon toys than Lego toys. If there are a total of 17 Pokemon toys, what is the probability of drawing a Lego toy at random? (There are no other toys in the basket than the ones mentioned in the question) Q. एक दुकानदार ने अपनी दुकान में सभी पुराने खिलौनों को एक टोकरी में जमा किया और इसे 99रु. प्रति खिलौना की दर से बिक्री के लिए रखा।बार्बी खिलौनों की तुलना में तीन कम पोकेमॉन खिलौने और लेगो खिलौने की तुलना में पांच अधिक पोकेमॉन खिलौने हैं।यदि कुल 17 पोकेमॉन खिलौने हैं, तो यादृच्छिक रूप से एक लेगो खिलौना निकलने की प्रायिकता क्या है? (प्रश्न में वर्णित खिलौनों के अलावा टोकरी में कोई अन्य खिलौना नहीं है)
Answer» Q. A shopkeeper has deposited all of the old toys in his shop into a basket and put it for sale at the rate of Rs. 99 per toy. There are three less Pokemon toys than Barbie toys and five more Pokemon toys than Lego toys. If there are a total of 17 Pokemon toys, what is the probability of drawing a Lego toy at random? (There are no other toys in the basket than the ones mentioned in the question) Q. एक दुकानदार ने अपनी दुकान में सभी पुराने खिलौनों को एक टोकरी में जमा किया और इसे 99रु. प्रति खिलौना की दर से बिक्री के लिए रखा।बार्बी खिलौनों की तुलना में तीन कम पोकेमॉन खिलौने और लेगो खिलौने की तुलना में पांच अधिक पोकेमॉन खिलौने हैं।यदि कुल 17 पोकेमॉन खिलौने हैं, तो यादृच्छिक रूप से एक लेगो खिलौना निकलने की प्रायिकता क्या है? (प्रश्न में वर्णित खिलौनों के अलावा टोकरी में कोई अन्य खिलौना नहीं है)

Discussion

3493.	Convert 4.13(recurring) into vulgar fraction
Answer» Convert 4.13(recurring) into vulgar fraction

Discussion

3494.	If P and Q are two solid spheres such that the surface area of Q is 300% higher than the surface area of P. The volume of P is found to be K% lower than the volume of Q. Find the value of K?
Answer» If P and Q are two solid spheres such that the surface area of Q is $300 %$ higher than the surface area of P. The volume of P is found to be $K %$ lower than the volume of Q. Find the value of K?

Discussion

3495.	The number of ways in which three different rings can be worn in four fingers with at most one in each finger, are
Answer» The number of ways in which three different rings can be worn in four fingers with at most one in each finger, are

Discussion

3496.	Which team was at the second position at the end of group matches?
Answer» Which team was at the second position at the end of group matches?

Discussion

3497.	Find the unit digit of 1255311+8481618?___
Answer» Find the unit digit of $\frac{12^{55}}{3^{11}} + \frac{8^{48}}{16^{18}}$ ?___

Discussion

3498.	If the roots of the equation (a2+b2)x2−2(ac+bd)x+(c2+d2)=0 are equal, then prove that ab=cd.
Answer» If the roots of the equation $(a^{2} + b^{2}) x^{2} - 2 (a c + b d) x + (c^{2} + d^{2}) = 0$ are equal, then prove that $\frac{a}{b} = \frac{c}{d}$ .

Discussion

3499.	If each of the vowels in the word HONESTLY is changed to the next letter in the English alphabetical series and each consonant is changed to the previous letter in the English alphabetical series and then the alphabets so formed are arranged in alphabetical order from left to right, the positions of how many of the following alphabets will remain unchanged?
Answer» If each of the vowels in the word HONESTLY is changed to the next letter in the English alphabetical series and each consonant is changed to the previous letter in the English alphabetical series and then the alphabets so formed are arranged in alphabetical order from left to right, the positions of how many of the following alphabets will remain unchanged?

Discussion

3500.	The sum of three positive numbers is 3, then the maximum value of the geometric mean of the three numbers is
Answer» The sum of three positive numbers is 3, then the maximum value of the geometric mean of the three numbers is

Discussion

Explore topic-wise InterviewSolutions in .

In how many ways can you put 7 letters into their respective envelopes such that exactly 3 go into the right envelope?___.

How many days’ gap was there between the days on which A and E worked overtime?

Find the difference between half of 1800 and 4 Hundreds &amp; 50 ones.

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

A watch loses 90 seconds in an hour and the watch owner adjusts the time lost by the watch in one day at the end of 48 hrs. After how many days will the watch show the correct time before the watch owner adjust the time?

A and B can do a piece of work in 30 days. B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days then B and C leave. How many days more will A take to finish the remaining work?

The harmonic mean of sum of first n natural numbers and sum of cubes of first n natural numbers is

How is Nikhil related to Rama? I. Nikhil is the only grandson of Rama's father-in-law. II. Rama has no brother-in-law or sister-in-law.

After school(S), Feroz can either go to circus(C) or to a movie theatre(T), after which he goes home. The ways in which he can go from one place to other are given as paths shown. The number of ways Feroz can go from School to Home is given by

It is given that (232+1) is exactly divisible by a certain number. Which of the following is also definitely divisible by the same number?

In a queue, Shikhar is 9th from the back. Arun’s place is 8th​ from the front. Nikhil is standing between the two. What could be the minimum number of boys standing in the queue?

(31)3×(31)−27=?

Show that x2+4x+7 has no zero

If 360 = 2x×3y×5z, then x + y + z___

Find the value of a6−1a3,given that a2−1a=2.

What is curve fitting?

Tarapore Committee recommended that before capital account was made convertible the rate of inflation should be brought down for three years within:

Two spheres of radii 6 cm and 1 cm are inscribed inside a right circular cone. The bigger sphere touches the smaller sphere and also the base of the cone. What is the height of the cone?

In the given equilateral triangle, the smaller circle and the bigger semi circle are inscribed inside. What is the value of XY

What is the ratio of the total female population of Tamil Nadu and Jharkhand together to the total male population of these two states together?

Which is the least number that must be subtracted from 1856 so that the remainder when divided by 7, 12, and 16 is 4? (CAT 1994)

In the figure find the area outside the trapezium, given square is of side 16 cm. The area is ___.

The equation to the line bisecting the join of (3,-4) and (5,2) and having its intercepts on the x-axis and the y-axis in the ratio 2 : 1 is

If the area of a regular octagon is 8 (√2+1)cm2, the side length of octagon is -

A invested Rs. 3000 in a business and B joined him after 3 months investing Rs.4000. If the ratio of the profit share of A to that of B after 1 year is xy . Find the relation between x and y.

In the previous question, if in 1994 prices increased by 5%, 1% and 10% while the volume of sales break-up was 40%, 30% and 30% for plywood, saw timber and logs respectively, then want was the average realization?

Find the length of the tangent from P to the circle with centre O as shown in the figure.

What is Amita's age?

In the given figure AB||CD,∠BAE=45∘,∠DCE=50∘ and ∠CED=x, then find the value of x.

The number of x digit numbers in nth base system will be

If sin θ=x+ax for all x ∈R−{0}, then which one of the following is correct?

The total cost of a certain length of a piece of cloth is Rs 200. If the piece was 5 cm longer and each metre of cloth costs Rs 2 less, the cost of the piece would have remained unchanged. How long is the piece and what is its original rate per metre?

Which of these words/numbers would be seventh (from right side) in Step VI for the input?

What is the difference between the numbers of vehicles manufactured by Company Y in 2000 and 2001 ?

If a metallic cuboid weighs 16 kg, what would be the weight of the new cuboid of metal, if all dimensions are reduced to one – fourth of the original?

The sum of all the three digit numbers which when divided by 8 give a remainder of 5 is___

The product of two two-digit numbers is 2160 and their G.C.D is 12. The numbers are:

An iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm if the sides of the sheet are in the ratio 1:5, the sides of the rectangular sheet are

Find the cube root of 30, 000.

Convert 4.13(recurring) into vulgar fraction

If P and Q are two solid spheres such that the surface area of Q is 300% higher than the surface area of P. The volume of P is found to be K% lower than the volume of Q. Find the value of K?

The number of ways in which three different rings can be worn in four fingers with at most one in each finger, are

Which team was at the second position at the end of group matches?

Find the unit digit of 1255311+8481618?___

If the roots of the equation (a2+b2)x2−2(ac+bd)x+(c2+d2)=0 are equal, then prove that ab=cd.

The sum of three positive numbers is 3, then the maximum value of the geometric mean of the three numbers is

Find the difference between half of 1800 and 4 Hundreds & 50 ones.

In a queue, Shikhar is 9th from the back. Arun’s place is 8th from the front. Nikhil is standing between the two. What could be the minimum number of boys standing in the queue?