5411 + Interview Questions in Quantitative Aptitude Page 91 InterviewSolution

4501.	What is the remainder when (32540×42400×3233)+222 is divided by 13?
Answer» What is the remainder when $(32540 \times 42400 \times 3233) + 222$ is divided by 13?

Discussion

4502.	If α,β are the roots of ax2+2bx+c=0 and α+δ, βδ are the roots of Ax2+2Bx+C=0, then
Answer» If $α, β$ are the roots of $a x^{2} + 2 b x + c = 0$ and $α + δ$ , $β δ$ are the roots of $A x^{2} + 2 B x + C = 0$ , then

Discussion

4503.	If the roots if the equation (a−b)x2+(b−c)x+c−a=0, are equal. Prove that a,b,c are in AP.
Answer» If the roots if the equation $(a - b) x^{2} + (b - c) x + c - a = 0$ , are equal. Prove that a,b,c are in AP.

Discussion

4504.	Let f(x)=1xIn(xex) then its primitive with respect to x is
Answer» Let $f (x) = \frac{1}{x} I n (\frac{x}{e^{x}})$ then its primitive with respect to x is

Discussion

4505.	In a triangle if sin2A+sin2B+sin2C=2, then triangle is always -
Answer» In a triangle if $s i n^{2} A + s i n^{2} B + s i n^{2} C = 2$ , then triangle is always -

Discussion

4506.	Show that any positive odd integer is in the form of (6m + 1 )or (6m + 3) or (6 m + 5) Where m is some integer
Answer» Show that any positive odd integer is in the form of (6m + 1 )or (6m + 3) or (6 m + 5) Where m is some integer

Discussion

4507.	Approximately, by what percent is the urban population of Maharashtra less than its rural population?
Answer» Approximately, by what percent is the urban population of Maharashtra less than its rural population?

Discussion

4508.	Find the value of 'x' for which it satisfies the inequality \|x - 2\| + \|x - 3\| + \|x - 4\| ≥ 9.
Answer» Find the value of 'x' for which it satisfies the inequality \|x - 2\| + \|x - 3\| + \|x - 4\| $\geq$ 9.

Discussion

4509.	We can find two individuals who cannot be reached by anyone in
Answer» We can find two individuals who cannot be reached by anyone in

Discussion

4510.	In an exam 49% candidates failed in English and 36% failed in Hindi and 15% failed in both subjects If the total number of candidates who passed in English alone is 630. What is the total number of candidates appeared in exam?
Answer» In an exam 49% candidates failed in English and 36% failed in Hindi and 15% failed in both subjects If the total number of candidates who passed in English alone is 630. What is the total number of candidates appeared in exam?

Discussion

4511.	What is the total cost of repairing the odd-numbered dorms (in Rs.Crores)? ___
Answer» What is the total cost of repairing the odd-numbered dorms (in Rs.Crores)? ___

Discussion

4512.	Q22. Ramesh is twice as good a workman as Sunil and finished a piece of work in 3 hours less than Sunil. In how many hours, 1 together could finish that piece of work?
Answer» Q22. Ramesh is twice as good a workman as Sunil and finished a piece of work in 3 hours less than Sunil. In how many hours, 1 together could finish that piece of work?

Discussion

4513.	If x is a natural number and 4 < x < 50, then the largest n, such that n! would always divide: x(x2−1)(x2−4)(x2−9)(x+4) is___
Answer» If x is a natural number and 4 < x < 50, then the largest n, such that n! would always divide: $x (x^{2} - 1) (x^{2} - 4) (x^{2} - 9) (x + 4)$ is___

Discussion

4514.	The number of novels (romantic and horror) sold by store F is what percent less than the total number of romantic novels sold by stores B and G together?
Answer» The number of novels (romantic and horror) sold by store F is what percent less than the total number of romantic novels sold by stores B and G together?

Discussion

4515.	Why do we need significant figures?
Answer» Why do we need significant figures?

Discussion

4516.	Is 32x+2−8n−9 is divisible by 8?
Answer» Is $3^{2 x + 2} - 8 n - 9$ is divisible by 8?

Discussion

4517.	The solution set of 14+1x<12+13, when x ϵR, is:
Answer» The solution set of $\frac{1}{4} + \frac{1}{x} < \frac{1}{2} + \frac{1}{3}$ , when $x ϵ R,$ is:

Discussion

4518.	x123456y5915233345 Which of the following equations will satisfy the above data?
Answer» $\begin{matrix} x & 1 & 2 & 3 & 4 & 5 & 6 y & 5 & 9 & 15 & 23 & 33 & 45 \end{matrix}$ Which of the following equations will satisfy the above data?

Discussion

4519.	If m and 2m2 are the roots of x2−px+q=0, then q+4q2+6pq=:
Answer» If $m$ and $2 m^{2}$ are the roots of $x^{2} - p x + q = 0$ , then $q + 4 q^{2} + 6 p q =$ :

Discussion

4520.	Drum X is 12 full of oil and drum Y, which has twice the capacity of drum X , is 23 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what fraction of its capacity?
Answer» Drum X is $\frac{1}{2}$ full of oil and drum Y, which has twice the capacity of drum X , is $\frac{2}{3}$ full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what fraction of its capacity?

Discussion

4521.	The remainder obtained when (13+23+33+43+……1003) is divided by 9 is
Answer» The remainder obtained when $(1^{3} + 2^{3} + 3^{3} + 4^{3} + \dots \dots 100^{3})$ is divided by 9 is

Discussion

4522.	Find the number of different necklaces made with 6 beads of different colours.
Answer» Find the number of different necklaces made with 6 beads of different colours.

Discussion

4523.	Find the area of the triangle formed by the lines whose equations are 2y - x = 5, y + 2x =7 and y - x = 1.
Answer» Find the area of the triangle formed by the lines whose equations are 2y - x = 5, y + 2x =7 and y - x = 1.

Discussion

4524.	There is an Arithmetic Progression with 10 terms. The Sum of numbers at even places is 15 and Sum of numbers at odd places is 252. Find the common difference.
Answer» There is an Arithmetic Progression with 10 terms. The Sum of numbers at even places is 15 and Sum of numbers at odd places is $\frac{25}{2}$ . Find the common difference.

Discussion

4525.	Two alarm clocks ring their alarms at regular intervals of 60 seconds and 90 seconds. If they first beep together at 12 noon, at what time will they beep again together for the first time?
Answer» Two alarm clocks ring their alarms at regular intervals of 60 seconds and 90 seconds. If they first beep together at 12 noon, at what time will they beep again together for the first time?

Discussion

4526.	A rubber ball is dropped from a height of 5 m on a planet where the value of acceleration due to gravity is not known. On bouncing, it rises to 1.8 m. Find the factor by which the ball loses its velocity.
Answer» A rubber ball is dropped from a height of 5 m on a planet where the value of acceleration due to gravity is not known. On bouncing, it rises to 1.8 m. Find the factor by which the ball loses its velocity.

Discussion

4527.	From Metro Station A a train starts at regular interval of 10mins and runs towards B Metro Station with constant speed of 80kmph without stopping. At some point of time, all the trains simultaneously have to reduce their speed 50kmph due to defect in rails. What will become the time intervals between arrivals of the trains at the Metro Station B during the defect in rails?
Answer» From Metro Station A a train starts at regular interval of 10mins and runs towards B Metro Station with constant speed of 80kmph without stopping. At some point of time, all the trains simultaneously have to reduce their speed 50kmph due to defect in rails. What will become the time intervals between arrivals of the trains at the Metro Station B during the defect in rails?

Discussion

4528.	256, 252, 244, 228, 196, ?
Answer» 256, 252, 244, 228, 196, ?

Discussion

4529.	If the first step of an input is ‘785 198 32 426 373 96 49’, then which of the following step will be the ‘785 32 426 49 198 373 96’?
Answer» If the first step of an input is ‘785 198 32 426 373 96 49’, then which of the following step will be the ‘785 32 426 49 198 373 96’?

Discussion

4530.	If all words with 2 distinct vowels and 3 distinct consonants were listed alphabetically, what would be the rank of “ACDEF’?
Answer» If all words with 2 distinct vowels and 3 distinct consonants were listed alphabetically, what would be the rank of “ACDEF’?

Discussion

4531.	In a survey among 70 people, 50 like Vanila and 40 like Chocolate. What is the minimum and maximum number of people who like exactly 2 flavours respectively?
Answer» In a survey among 70 people, 50 like Vanila and 40 like Chocolate. What is the minimum and maximum number of people who like exactly 2 flavours respectively?

Discussion

4532.	Mr Phani Ram, the team selector, has made the following observations to improve the performance of the team: (i) Performance of first five players has improved, whereas performance of last six players has gone down. (ii) Had there been no extra runs, runs in the second match would have decreased by maximum percentage. (iii) If the team had played its full 50 overs. it would have scored maximum in the first match. How many of these observations are true?
Answer» Mr Phani Ram, the team selector, has made the following observations to improve the performance of the team: (i) Performance of first five players has improved, whereas performance of last six players has gone down. (ii) Had there been no extra runs, runs in the second match would have decreased by maximum percentage. (iii) If the team had played its full 50 overs. it would have scored maximum in the first match. How many of these observations are true?

Discussion

4533.	In how many ways can the number 100 be written as a sum of two or more consecutive positive integers?
Answer» In how many ways can the number 100 be written as a sum of two or more consecutive positive integers?

Discussion

4534.	In each question, three statements showing relationships have been given, which are followed by two conclusions I and II. Assuming that the given statements are true, find out which conclusion(s) is/are definitely true. Statements: R c U, U? Q, W $ R Conclusions: I. W c U II. W U
Answer» In each question, three statements showing relationships have been given, which are followed by two conclusions I and II. Assuming that the given statements are true, find out which conclusion(s) is/are definitely true. Statements: R c U, U? Q, W $$$ R Conclusions: I. W c U II. W U

Discussion

4535.	What was the approximate percentage increase in production from 1993 to 1994?
Answer» What was the approximate percentage increase in production from 1993 to 1994?

Discussion

4536.	A student is required to answer 5 out of 8 questions divided into two groups each containing 4 questions. He is not permitted to attempt more than 3 from each group. In how many ways can he make the choice?
Answer» A student is required to answer 5 out of 8 questions divided into two groups each containing 4 questions. He is not permitted to attempt more than 3 from each group. In how many ways can he make the choice?

Discussion

4537.	If the cost of a commodity increases by 60%, by what fraction must its consumption be reduced so as to keep the expenditure same as before.
Answer» If the cost of a commodity increases by 60%, by what fraction must its consumption be reduced so as to keep the expenditure same as before.

Discussion

4538.	In a follow up survey of the same kids two years later, it was found that all the kids were now in school. Of the kids who were not in scncol earlier, in one region, 25% were in G now, whereas the rest were enrolled in 12; in the second region, all such kids were in G now; while in the third region, 50% of such kids had now joined G while the had joined P. As a result, in all three regions put together, 50% of the kids who were earlier out of school had joined G. It was also seen that no surveyed kid had changed schools. What number of the surveyed kids now were in G in W?
Answer» In a follow up survey of the same kids two years later, it was found that all the kids were now in school. Of the kids who were not in scncol earlier, in one region, $25 %$ were in G now, whereas the rest were enrolled in 12; in the second region, all such kids were in G now; while in the third region, $50 %$ of such kids had now joined G while the had joined P. As a result, in all three regions put together, $50 %$ of the kids who were earlier out of school had joined G. It was also seen that no surveyed kid had changed schools. What number of the surveyed kids now were in G in W?

Discussion

4539.	Mayank buys some candles for Rs. 15 a dozen and an equal number of different candles for Rs.12 a dozen. He sells all for Rs.16.50 a dozen and makes a profit of Rs.150. How many dozens of candles did he buy altogether?
Answer» Mayank buys some candles for Rs. 15 a dozen and an equal number of different candles for Rs.12 a dozen. He sells all for Rs.16.50 a dozen and makes a profit of Rs.150. How many dozens of candles did he buy altogether?

Discussion

4540.	Which of the following pairs cannot occupy the seats on either side of B?
Answer» Which of the following pairs cannot occupy the seats on either side of B?

Discussion

4541.	In 2003, the Making Hits Record Company spent 40% of its total budget on the production of ten albums, 30% of its budget on the marketing of these albums, and the remainder of its budget on overhead costs. In the same year, the Song Factory Record Company spent 20% of its total budget on the production of 10 albums and 60% of its budget on the marketing of these albums. Making Hits sold a total of 800,000 copies of the ten records it produced in 2003, while the Song Factory sold a total of 1,600,000 copies of the ten records it produced in 2003. Assuming each company met its budget, which of the following conclusions is best supported by the information given above?
Answer» In 2003, the Making Hits Record Company spent 40% of its total budget on the production of ten albums, 30% of its budget on the marketing of these albums, and the remainder of its budget on overhead costs. In the same year, the Song Factory Record Company spent 20% of its total budget on the production of 10 albums and 60% of its budget on the marketing of these albums. Making Hits sold a total of 800,000 copies of the ten records it produced in 2003, while the Song Factory sold a total of 1,600,000 copies of the ten records it produced in 2003. Assuming each company met its budget, which of the following conclusions is best supported by the information given above?

Discussion

4542.	A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime-number less than 23, is :
Answer» A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime-number less than 23, is :

Discussion

4543.	A solid sphere is cut into identical pieces by three mutually perpendicular planes passing through its centre. Increase in total surface area of all the pieces with respect to the total surface area of the original sphere is
Answer» A solid sphere is cut into identical pieces by three mutually perpendicular planes passing through its centre. Increase in total surface area of all the pieces with respect to the total surface area of the original sphere is

Discussion

4544.	Who among the four was wearing the yellow cap?
Answer» Who among the four was wearing the yellow cap?

Discussion

4545.	Village S is in which direction with respect to village T? (Assume that the distance between all the villages is equal) I. Village T is to the South of village X, which is to the South-East of Village S. II. Village Y is to the East of village S and to the North-East of Village T.
Answer» Village S is in which direction with respect to village T? (Assume that the distance between all the villages is equal) I. Village T is to the South of village X, which is to the South-East of Village S. II. Village Y is to the East of village S and to the North-East of Village T.

4545.

Village S is in which direction with respect to village T? (Assume that the distance between all the villages is equal) I. Village T is to the South of village X, which is to the South-East of Village S. II. Village Y is to the East of village S and to the North-East of Village T.

Answer»

Village S is in which direction with respect to village T? (Assume that the distance between all the villages is equal)

I. Village T is to the South of village X, which is to the South-East of Village S.

II. Village Y is to the East of village S and to the North-East of Village T.

Discussion

4546.	Who is the coach of the second youngest boy?
Answer» Who is the coach of the second youngest boy?

Discussion

4547.	What is the approximate compounded average annual growth rate of the Actual Inflow of FDI over the period 2003 to 2007?
Answer» What is the approximate compounded average annual growth rate of the Actual Inflow of FDI over the period 2003 to 2007?

Discussion

4548.	Consider a square track ABCD. A circular track EPHQ is inscribed in the above square track, while a hexagonal track EFGHIJ is inscribed in the above circle and track EGI is a triangular path inscribed inside the hexagonal track. All figures are regular. If a, b ,c and d are lengths of the square, circular, hexagonal and triangular tracks respectively, then which of the following is true?
Answer» Consider a square track ABCD. A circular track EPHQ is inscribed in the above square track, while a hexagonal track EFGHIJ is inscribed in the above circle and track EGI is a triangular path inscribed inside the hexagonal track. All figures are regular. If a, b ,c and d are lengths of the square, circular, hexagonal and triangular tracks respectively, then which of the following is true?

Discussion

4549.	In a bolt factory, machines A, B and C manufacture respectively 25%,35% and 40% of the total bs. Of their output 5, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product. If the bolt drawn is found to be defective, what is the probability that it is manufactured by the machine B?
Answer» In a bolt factory, machines A, B and C manufacture respectively 25%,35% and 40% of the total bs. Of their output 5, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product. If the bolt drawn is found to be defective, what is the probability that it is manufactured by the machine B?

Discussion

4550.	There are 60 people at an activity centre. 31 go river rafting, 24 go river rafting and on hiking, 12 do neither activity. How many just go on the hiking but do not go river rafting?
Answer» There are 60 people at an activity centre. 31 go river rafting, 24 go river rafting and on hiking, 12 do neither activity. How many just go on the hiking but do not go river rafting?

4550.

There are 60 people at an activity centre. 31 go river rafting, 24 go river rafting and on hiking, 12 do neither activity. How many just go on the hiking but do not go river rafting?

Answer»

There are 60 people at an activity centre.
31 go river rafting, 24 go river rafting and on hiking, 12 do neither activity.

How many just go on the hiking but do not go river rafting?

Discussion

Explore topic-wise InterviewSolutions in .

What is the remainder when (32540×42400×3233)+222 is divided by 13?

If α,β are the roots of ax2+2bx+c=0 and α+δ, βδ are the roots of Ax2+2Bx+C=0, then

If the roots if the equation (a−b)x2+(b−c)x+c−a=0, are equal. Prove that a,b,c are in AP.

Let f(x)=1xIn(xex) then its primitive with respect to x is

In a triangle if sin2A+sin2B+sin2C=2, then triangle is always -

Show that any positive odd integer is in the form of (6m + 1 )or (6m + 3) or (6 m + 5) Where m is some integer

Approximately, by what percent is the urban population of Maharashtra less than its rural population?

Find the value of 'x' for which it satisfies the inequality |x - 2| + |x - 3| + |x - 4| ≥ 9.

We can find two individuals who cannot be reached by anyone in

In an exam 49% candidates failed in English and 36% failed in Hindi and 15% failed in both subjects If the total number of candidates who passed in English alone is 630. What is the total number of candidates appeared in exam?

What is the total cost of repairing the odd-numbered dorms (in Rs.Crores)? ___

Q22. Ramesh is twice as good a workman as Sunil and finished a piece of work in 3 hours less than Sunil. In how many hours, 1 together could finish that piece of work?

If x is a natural number and 4 < x < 50, then the largest n, such that n! would always divide: x(x2−1)(x2−4)(x2−9)(x+4) is___

The number of novels (romantic and horror) sold by store F is what percent less than the total number of romantic novels sold by stores B and G together?

Why do we need significant figures?

Is 32x+2−8n−9 is divisible by 8?

The solution set of 14+1x&lt;12+13, when x ϵR, is:

x123456y5915233345 Which of the following equations will satisfy the above data?

If m and 2m2 are the roots of x2−px+q=0, then q+4q2+6pq=:

Drum X is 12 full of oil and drum Y, which has twice the capacity of drum X , is 23 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what fraction of its capacity?

The remainder obtained when (13+23+33+43+……1003) is divided by 9 is

Find the number of different necklaces made with 6 beads of different colours.

Find the area of the triangle formed by the lines whose equations are 2y - x = 5, y + 2x =7 and y - x = 1.

There is an Arithmetic Progression with 10 terms. The Sum of numbers at even places is 15 and Sum of numbers at odd places is 252. Find the common difference.

Two alarm clocks ring their alarms at regular intervals of 60 seconds and 90 seconds. If they first beep together at 12 noon, at what time will they beep again together for the first time?

A rubber ball is dropped from a height of 5 m on a planet where the value of acceleration due to gravity is not known. On bouncing, it rises to 1.8 m. Find the factor by which the ball loses its velocity.

256, 252, 244, 228, 196, ?

If the first step of an input is ‘785 198 32 426 373 96 49’, then which of the following step will be the ‘785 32 426 49 198 373 96’?

If all words with 2 distinct vowels and 3 distinct consonants were listed alphabetically, what would be the rank of “ACDEF’?

In a survey among 70 people, 50 like Vanila and 40 like Chocolate. What is the minimum and maximum number of people who like exactly 2 flavours respectively?

In how many ways can the number 100 be written as a sum of two or more consecutive positive integers?

In each question, three statements showing relationships have been given, which are followed by two conclusions I and II. Assuming that the given statements are true, find out which conclusion(s) is/are definitely true. Statements: R c U, U? Q, W $ R Conclusions: I. W c U II. W U

What was the approximate percentage increase in production from 1993 to 1994?

A student is required to answer 5 out of 8 questions divided into two groups each containing 4 questions. He is not permitted to attempt more than 3 from each group. In how many ways can he make the choice?

If the cost of a commodity increases by 60%, by what fraction must its consumption be reduced so as to keep the expenditure same as before.

Mayank buys some candles for Rs. 15 a dozen and an equal number of different candles for Rs.12 a dozen. He sells all for Rs.16.50 a dozen and makes a profit of Rs.150. How many dozens of candles did he buy altogether?

Which of the following pairs cannot occupy the seats on either side of B?

A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime-number less than 23, is :

A solid sphere is cut into identical pieces by three mutually perpendicular planes passing through its centre. Increase in total surface area of all the pieces with respect to the total surface area of the original sphere is

Who among the four was wearing the yellow cap?

Village S is in which direction with respect to village T? (Assume that the distance between all the villages is equal) I. Village T is to the South of village X, which is to the South-East of Village S. II. Village Y is to the East of village S and to the North-East of Village T.

Who is the coach of the second youngest boy?

What is the approximate compounded average annual growth rate of the Actual Inflow of FDI over the period 2003 to 2007?

There are 60 people at an activity centre. 31 go river rafting, 24 go river rafting and on hiking, 12 do neither activity. How many just go on the hiking but do not go river rafting?

The solution set of 14+1x<12+13, when x ϵR, is: