5411 + Interview Questions in Quantitative Aptitude Page 103 InterviewSolution

5101.	A vertical tower stands on a horizontal plane and is surmounted by a flagstaff of height 5m. From a point on the ground, the angles of elevation of the end bottom of the flagstaff are 60∘ and 30∘ respectively. Find the height of the tower and the distance of the point from the tower. (take√3=1.732)
Answer» A vertical tower stands on a horizontal plane and is surmounted by a flagstaff of height 5m. From a point on the ground, the angles of elevation of the end bottom of the flagstaff are $60^{\circ}$ and $30^{\circ}$ respectively. Find the height of the tower and the distance of the point from the tower. $(t a k e \sqrt{3} = 1.732)$

Discussion

5102.	At the beginning of year 2011, a man had Rs 22,000 in his bank account. He saved some money by the end of this year and deposited it in the bank. The bank pays 10% per annum compound interest and at the end of 2012 he had Rs 39,820 in his bank account. Find what amount of money he had saved and deposited in his account at the end of year 2011.
Answer» At the beginning of year 2011, a man had Rs 22,000 in his bank account. He saved some money by the end of this year and deposited it in the bank. The bank pays 10% per annum compound interest and at the end of 2012 he had Rs 39,820 in his bank account. Find what amount of money he had saved and deposited in his account at the end of year 2011.

Discussion

5103.	If the price of the petrol is Rs 50. What is the new price, if there is a decrease of 10% in the price?___
Answer» If the price of the petrol is Rs 50. What is the new price, if there is a decrease of 10% in the price?___

Discussion

5104.	This curve gives you the number of species residing in a particular area (1,2,3…..11). If all points in the given curve are joined in order 1-2-3-4-5-6-7----so-on-till—11, for how many sets of three points do we see growth followed by decline?(for eg, for the set 2-3-4, first it rises and then it declines)___
Answer» This curve gives you the number of species residing in a particular area (1,2,3…..11). If all points in the given curve are joined in order 1-2-3-4-5-6-7----so-on-till—11, for how many sets of three points do we see growth followed by decline?(for eg, for the set 2-3-4, first it rises and then it declines)___

Discussion

5105.	What is the maximum number of times 10 squares of same side length can intersect each other? ___
Answer» What is the maximum number of times 10 squares of same side length can intersect each other? ___

Discussion

5106.	Sum of the first 30 terms of an arithmetic progression is 0. If the first term is -29, then find the sum of the 28th, 29th and 30th terms of this arithmetic progression.
Answer» Sum of the first 30 terms of an arithmetic progression is 0. If the first term is -29, then find the sum of the 28th, 29th and 30th terms of this arithmetic progression.

Discussion

5107.	The remainder when 543328746 is divided by 8 is ______________.
Answer» The remainder when 543328746 is divided by 8 is ______________.

Discussion

5108.	Study the following information carefully and answer the questions: A set of words and numbers is passed through an arrangement machine and following rearrangement is obtained. Input: talk 48 11 rude 97 84 35 walk jug home 25 bag 77 alone Step I: 97 talk 48 11 rude 84 35 walk jug home 25 77 alone bag Step II: 97 84 talk 48 11 rude 84 35 walk jug 25 77 alone bag home Step III: 97 84 77 talk 48 11 rude 84 35 walk 25 alone bag home jug Step IV: 97 84 77 48 talk 11 35 walk 25 alone bag home jug rude Step V: 97 84 77 48 35 11 walk 25 alone bag home jug rude talk Step VI: 97 84 77 48 35 25 11 alone bag home jug rude talk walk Step VI is the last step of the rearrangement. A set of words and letters is given below. As per the rules followed by the arrangement machine, answer the given questions. Input: 81 who sit 19 32 not but ink flow 51 27 van 68 92 Which of the following is the Step III?
Answer» Study the following information carefully and answer the questions: A set of words and numbers is passed through an arrangement machine and following rearrangement is obtained. Input: talk 48 11 rude 97 84 35 walk jug home 25 bag 77 alone Step I: 97 talk 48 11 rude 84 35 walk jug home 25 77 alone bag Step II: 97 84 talk 48 11 rude 84 35 walk jug 25 77 alone bag home Step III: 97 84 77 talk 48 11 rude 84 35 walk 25 alone bag home jug Step IV: 97 84 77 48 talk 11 35 walk 25 alone bag home jug rude Step V: 97 84 77 48 35 11 walk 25 alone bag home jug rude talk Step VI: 97 84 77 48 35 25 11 alone bag home jug rude talk walk Step VI is the last step of the rearrangement. A set of words and letters is given below. As per the rules followed by the arrangement machine, answer the given questions. Input: 81 who sit 19 32 not but ink flow 51 27 van 68 92 Which of the following is the Step III?

Discussion

5109.	Find the area of ΔPCD, P lies on the line AB, where O is the centre of the outer circle with radius 6.5 cm. ABCD is a rectangle, one of its sides is 5 cm.
Answer» Find the area of $Δ P C D$ , P lies on the line AB, where O is the centre of the outer circle with radius 6.5 cm. ABCD is a rectangle, one of its sides is 5 cm.

Discussion

5110.	What is the average percentage of marks obtained by all the students together in English? Round off your answer to the nearest integer.
Answer» What is the average percentage of marks obtained by all the students together in English? Round off your answer to the nearest integer.

Discussion

5111.	Root of 28
Answer» Root of 28

Discussion

5112.	Q61. If + stands for division, ÷ stands for multiplication × stands for subtraction, and - stands for addition, which one of the following is correct?
Answer» Q61. If + stands for division, $\div$ stands for multiplication $\times$ stands for subtraction, and - stands for addition, which one of the following is correct?

Discussion

5113.	We already know the rule for the pattern of letter L,C and F. Give us the same rule as that given by L. Which are these? Why does this happen?
Answer» We already know the rule for the pattern of letter $L, C$ and $F$ . Give us the same rule as that given by $L$ . Which are these? Why does this happen?

Discussion

5114.	A ship A is moving westwards with a speed of 10 km h−1 and a ship B 100 km south of A, is moving northwards with a speed of 10 km h−1. Find the time after which the distance between them becomes shortest.
Answer» A ship A is moving westwards with a speed of $10 k m h^{- 1}$ and a ship B 100 km south of A, is moving northwards with a speed of $10 k m h^{- 1}$ . Find the time after which the distance between them becomes shortest.

Discussion

5115.	A container contains 100 kg of milk, from this 15 kg of milk was taken out and replaced by water. Again 15 kg of this mixture is taken out and replaced by water again. What will be the approximate percentage of milk after repeating the process 4 times?
Answer» A container contains 100 kg of milk, from this 15 kg of milk was taken out and replaced by water. Again 15 kg of this mixture is taken out and replaced by water again. What will be the approximate percentage of milk after repeating the process 4 times?

Discussion

5116.	4 men and 2 boys can do a job in 623 days. 3 women and 4 boys can finish the same job in 5 days. Also 2 men and 3 women can finish the same job in 4 days. In how many days can 1 man, 1 woman and 1 boy finish the work at their double efficiency___
Answer» 4 men and 2 boys can do a job in $6 \frac{2}{3}$ days. 3 women and 4 boys can finish the same job in 5 days. Also 2 men and 3 women can finish the same job in 4 days. In how many days can 1 man, 1 woman and 1 boy finish the work at their double efficiency___

Discussion

5117.	From a deck of 52 cards, two cards are being chosen without replacement. What will be the probability of first one being black and second one being red.
Answer» From a deck of 52 cards, two cards are being chosen without replacement. What will be the probability of first one being black and second one being red.

Discussion

5118.	If the password for Batch I was 'rate go long top we let have' which batch will have the password 'go rate top long have let we'?
Answer» If the password for Batch I was 'rate go long top we let have' which batch will have the password 'go rate top long have let we'?

Discussion

5119.	Q20) Cash reserve ratio (CRR),Identify the wrong statement
Answer» Q20) Cash reserve ratio (CRR),Identify the wrong statement

Discussion

5120.	Data related to salary structure of 5 individuals from different organisations in March IndividualsBasic SalaryTotal AllowanceTotal DeductionNet SalaryP2180028600−−Q−−435025850R1040012400280020000S1120013800−−T−216005700−Note: i. Total deduction = Provident Fund deduction (which is 10% of basic salary) + other deductions ii. Net salary =. Basic Salary + Total Allowance -Total deduction iii. Few values are missing in the table (indicated by -). A candidate is expected to calculate the missing values, if it is required to answer the given question, on the basis of the given data and information. Q. asic salary of Sis what percent more than the basic salary of R?
Answer» Data related to salary structure of 5 individuals from different organisations in March $\begin{matrix} Individuals & Basic Salary & Total Allowance & Total Deduction & Net Salary P & 21800 & 28600 & - & - Q & - & - & 4350 & 25850 R & 10400 & 12400 & 2800 & 20000 S & 11200 & 13800 & - & - T & - & 21600 & 5700 & - \end{matrix}$ Note: i. Total deduction = Provident Fund deduction (which is 10% of basic salary) + other deductions ii. Net salary =. Basic Salary + Total Allowance -Total deduction iii. Few values are missing in the table (indicated by -). A candidate is expected to calculate the missing values, if it is required to answer the given question, on the basis of the given data and information. Q. asic salary of Sis what percent more than the basic salary of R?

Discussion

5121.	Find the probability of getting a multiple of 3 on one die and multiple of 2 on the other die when two dice are thrown simultaneously?
Answer» Find the probability of getting a multiple of 3 on one die and multiple of 2 on the other die when two dice are thrown simultaneously?

Discussion

5122.	Who among the following stay between V and U?
Answer» Who among the following stay between V and U?

Discussion

5123.	If the imports of company A in 1998 were Rs. 10.40 crore, what were the exports (in Rs.) of company A in the same year?
Answer» If the imports of company A in 1998 were Rs. 10.40 crore, what were the exports (in Rs.) of company A in the same year?

Discussion

5124.	Number of people working in Bamboo industries from different villages and the ratio of men to women working: Q69. Number of men working in Bamboo industries from village A forms what percent of women working from the same village?
Answer» Number of people working in Bamboo industries from different villages and the ratio of men to women working: Q69. Number of men working in Bamboo industries from village A forms what percent of women working from the same village?

5124.

Number of people working in Bamboo industries from different villages and the ratio of men to women working: Q69. Number of men working in Bamboo industries from village A forms what percent of women working from the same village?

Answer»

Number of people working in Bamboo industries from different villages and the ratio of men to women working:

Q69. Number of men working in Bamboo industries from village A forms what percent of women working from the same village?

Discussion

5125.	Number of prime factors in 612×(35)28×(15)16(14)12×(21)11
Answer» Number of prime factors in $\frac{6^{12} \times (35)^{28} \times (15)^{16}}{(14)^{12} \times (21)^{11}}$

Discussion

5126.	What percentage of simple interest per annum did Anvesh pay to Dattu? I. Anvesh borrowed Rs. 10000 from dattu for four years. II. Anvesh returned Rs. 11800 to dattu at the end of four years and settled the loan
Answer» What percentage of simple interest per annum did Anvesh pay to Dattu? I. Anvesh borrowed Rs. 10000 from dattu for four years. II. Anvesh returned Rs. 11800 to dattu at the end of four years and settled the loan

Discussion

5127.	A. In general, the British Internet boom mirrored what had happened on the other side of the Atlantic a year or two earlier. B. Lastminute.com shared all of these attributes. C. This was a replay of events twelve months previously, when the US market witnesses Priceline.com issuing stock on the NASDAQ and ending its first day as a public company worth almost 10 bn $. D. In March 2000, for example, Lastminute.com, the most widely-hyped of all British companies, issued stock on the London Stock Exchange and achieved a valuation, albeit fleetingly, of more than 800 mn $. E. Priceline.com allowed airlines and hotels to unload their spare capacity cheaply online; it made heavy losses; and Morgan Stanley, a leading Wall Street investment bank, marketed its shares to the public. F. The principal difference between the British bubble and the American bubble was one of scale
Answer» A. In general, the British Internet boom mirrored what had happened on the other side of the Atlantic a year or two earlier. B. Lastminute.com shared all of these attributes. C. This was a replay of events twelve months previously, when the US market witnesses Priceline.com issuing stock on the NASDAQ and ending its first day as a public company worth almost 10 bn $. D. In March 2000, for example, Lastminute.com, the most widely-hyped of all British companies, issued stock on the London Stock Exchange and achieved a valuation, albeit fleetingly, of more than 800 mn $. E. Priceline.com allowed airlines and hotels to unload their spare capacity cheaply online; it made heavy losses; and Morgan Stanley, a leading Wall Street investment bank, marketed its shares to the public. F. The principal difference between the British bubble and the American bubble was one of scale

Discussion

5128.	Sixteen men can complete a work in twelve days. Twenty- four children can complete the same work in eighteen days. Twelve men and eight children started working and after eight days there more children joined them. How many days will they now take to complete the remaining work?
Answer» Sixteen men can complete a work in twelve days. Twenty- four children can complete the same work in eighteen days. Twelve men and eight children started working and after eight days there more children joined them. How many days will they now take to complete the remaining work?

Discussion

5129.	The 2nd and 50th term of an A.P is 49 and 89 respectively. Find the sum of first 51 terms of the given A.P.
Answer» The 2^nd and 50^th term of an A.P is 49 and 89 respectively. Find the sum of first 51 terms of the given A.P.

Discussion

5130.	Find the 25th term of the A.P. 10, 6, 2, -2, -6, -10,...:
Answer» Find the 25th term of the A.P. 10, 6, 2, -2, -6, -10,...:

Discussion

5131.	If p and q(≠0) are the roots of the equation x2+px+q=0, then the least value of x2+px+q (xϵR) is:
Answer» If p and $q (\neq 0)$ are the roots of the equation $x^{2} + p x + q = 0,$ then the least value of $x^{2} + p x + q (x ϵ R)$ is:

Discussion

5132.	How many pen drives did Arundati sell till the end of April?
Answer» How many pen drives did Arundati sell till the end of April?

Discussion

5133.	If 1≤x≤3 and 2≤y≤4, what is the maximum value of (xy)?
Answer» If $1 \leq x \leq 3$ and $2 \leq y \leq 4$ , what is the maximum value of $(\frac{x}{y}) ?$

Discussion

5134.	The solution of the inequation 4−x+0.5−7∗2−x<4,xϵR is :
Answer» The solution of the inequation $4^{- x + 0.5} - 7 * 2^{- x} < 4, x ϵ R$ is :

Discussion

5135.	A cricketer has a mean score of 58 runs in nine innings. Find out how many runs are to be scored by him in the tenth inning to raise the mean score to 61.'
Answer» A cricketer has a mean score of 58 runs in nine innings. Find out how many runs are to be scored by him in the tenth inning to raise the mean score to 61.'

Discussion

5136.	In which year is the difference in rate of interest between fixed and floating the maximum?
Answer» In which year is the difference in rate of interest between fixed and floating the maximum?

Discussion

5137.	Find the missing number in the series. 0, 2, 7, ?, 105, 531
Answer» Find the missing number in the series. 0, 2, 7, ?, 105, 531

5137.

Find the missing number in the series. 0, 2, 7, ?, 105, 531

Answer»

Find the missing number in the series.

0, 2, 7, ?, 105, 531

Discussion

5138.	If m times the mth term of an AP is equal to n times its nth term, find the (m+n)th term of that AP. Given that m is not equal to n.
Answer» If m times the $m^{t h}$ term of an AP is equal to n times its $n^{t h}$ term, find the $(m + n)^{t h}$ term of that AP. Given that m is not equal to n.

Discussion

5139.	Find the range of x2+6x+5
Answer» Find the range of $x^{2} + 6 x + 5$

Discussion

5140.	Find the sum of the series N= 1/3 + 1/15 + 1/35………… 100 terms
Answer» Find the sum of the series N= 1/3 + 1/15 + 1/35………… 100 terms

Discussion

5141.	Who is the youngest among N, Q, U, S and X each being of a different age? I. U is younger than only Q and X. II. N is older than S and younger than U.
Answer» Who is the youngest among N, Q, U, S and X each being of a different age? I. U is younger than only Q and X. II. N is older than S and younger than U.

5141.

Who is the youngest among N, Q, U, S and X each being of a different age? I. U is younger than only Q and X. II. N is older than S and younger than U.

Answer»

Who is the youngest among N, Q, U, S and X each being of a different age?

I. U is younger than only Q and X.

II. N is older than S and younger than U.

Discussion

5142.	The population of a town increased from 1,65,000 to 2,82,500 in a decade. What is the overall percentage increase in the population?
Answer» The population of a town increased from 1,65,000 to 2,82,500 in a decade. What is the overall percentage increase in the population?

Discussion

5143.	In a polygon, the interior angles are in A.P. with common difference 5∘ and smallest angle 120∘, then the number of sides is :
Answer» In a polygon, the interior angles are in A.P. with common difference $5^{\circ}$ and smallest angle $120^{\circ}$ , then the number of sides is :

Discussion

5144.	Considering the performance of P an Q in all the papers-
Answer» Considering the performance of P an Q in all the papers-

Discussion

5145.	Suppose, log3c=log12y=a, where x, y are positive numbers. If G is the geometric mean of x and y, and log6 G is equal to
Answer» Suppose, $l o g_{3} c = l o g_{12} y = a$ , where x, y are positive numbers. If G is the geometric mean of x and y, and $l o g_{6}$ G is equal to

Discussion

5146.	If a and b are integers of opposite signs such that (a+3)2:b2=9:1 and (a−1)2:(b−1)2=4:1, then the ratio a2:b2 is
Answer» If a and b are integers of opposite signs such that $(a + 3)^{2} : b^{2} = 9 : 1$ and $(a - 1)^{2} : (b - 1)^{2} = 4 : 1$ , then the ratio $a^{2} : b^{2}$ is

Discussion

5147.	On a particular day, the number of vehicles passing through a crossing is given below : VehicleTwo wheelerThree wheelerFour wheelerFrequency573330 A particular vehicle is chosen at random. What is the probability that is not a four wheeler.
Answer» On a particular day, the number of vehicles passing through a crossing is given below : $\begin{matrix} V e h i c l e & T w o w h e e l e r & T h r e e w h e e l e r & F o u r w h e e l e r F r e q u e n c y & 57 & 33 & 30 \end{matrix}$ A particular vehicle is chosen at random. What is the probability that is not a four wheeler.

Discussion

5148.	Before his last Physics test, Nitish's average for Physics was 33%. In his last test he scored 40% which increased his average to 34%. What must he score in his next test to increase his average to 35%?
Answer» Before his last Physics test, Nitish's average for Physics was $33 %$ . In his last test he scored $40 %$ which increased his average to $34 %$ . What must he score in his next test to increase his average to $35 %$ ?

Discussion

5149.	In each of the questions below, a number series has been given followed by five alternatives. One term of the given number series is wrong. Find out the wrong term and spot a number from the alternatives which will replace the wrong term of the series. 0, 9, 64, 169, 576, 1225
Answer» In each of the questions below, a number series has been given followed by five alternatives. One term of the given number series is wrong. Find out the wrong term and spot a number from the alternatives which will replace the wrong term of the series. 0, 9, 64, 169, 576, 1225

Discussion

5150.	What is the adult population in cities B and F?
Answer» What is the adult population in cities B and F?

Discussion

Explore topic-wise InterviewSolutions in .

If the price of the petrol is Rs 50. What is the new price, if there is a decrease of 10% in the price?___

What is the maximum number of times 10 squares of same side length can intersect each other? ___

Sum of the first 30 terms of an arithmetic progression is 0. If the first term is -29, then find the sum of the 28th, 29th and 30th terms of this arithmetic progression.

The remainder when 543328746 is divided by 8 is ______________.

Find the area of ΔPCD, P lies on the line AB, where O is the centre of the outer circle with radius 6.5 cm. ABCD is a rectangle, one of its sides is 5 cm.

What is the average percentage of marks obtained by all the students together in English? Round off your answer to the nearest integer.

Root of 28

Q61. If + stands for division, ÷ stands for multiplication × stands for subtraction, and - stands for addition, which one of the following is correct?

We already know the rule for the pattern of letter L,C and F. Give us the same rule as that given by L. Which are these? Why does this happen?

A ship A is moving westwards with a speed of 10 km h−1 and a ship B 100 km south of A, is moving northwards with a speed of 10 km h−1. Find the time after which the distance between them becomes shortest.

A container contains 100 kg of milk, from this 15 kg of milk was taken out and replaced by water. Again 15 kg of this mixture is taken out and replaced by water again. What will be the approximate percentage of milk after repeating the process 4 times?

4 men and 2 boys can do a job in 623 days. 3 women and 4 boys can finish the same job in 5 days. Also 2 men and 3 women can finish the same job in 4 days. In how many days can 1 man, 1 woman and 1 boy finish the work at their double efficiency___

From a deck of 52 cards, two cards are being chosen without replacement. What will be the probability of first one being black and second one being red.

If the password for Batch I was 'rate go long top we let have' which batch will have the password 'go rate top long have let we'?

Q20) Cash reserve ratio (CRR),Identify the wrong statement

Find the probability of getting a multiple of 3 on one die and multiple of 2 on the other die when two dice are thrown simultaneously?

Who among the following stay between V and U?

If the imports of company A in 1998 were Rs. 10.40 crore, what were the exports (in Rs.) of company A in the same year?

Number of people working in Bamboo industries from different villages and the ratio of men to women working: Q69. Number of men working in Bamboo industries from village A forms what percent of women working from the same village?

Number of prime factors in 612×(35)28×(15)16(14)12×(21)11

What percentage of simple interest per annum did Anvesh pay to Dattu? I. Anvesh borrowed Rs. 10000 from dattu for four years. II. Anvesh returned Rs. 11800 to dattu at the end of four years and settled the loan

Sixteen men can complete a work in twelve days. Twenty- four children can complete the same work in eighteen days. Twelve men and eight children started working and after eight days there more children joined them. How many days will they now take to complete the remaining work?

The 2nd and 50th term of an A.P is 49 and 89 respectively. Find the sum of first 51 terms of the given A.P.

Find the 25th term of the A.P. 10, 6, 2, -2, -6, -10,...:

If p and q(≠0) are the roots of the equation x2+px+q=0, then the least value of x2+px+q (xϵR) is:

How many pen drives did Arundati sell till the end of April?

If 1≤x≤3 and 2≤y≤4, what is the maximum value of (xy)?

The solution of the inequation 4−x+0.5−7∗2−x&lt;4,xϵR is :

A cricketer has a mean score of 58 runs in nine innings. Find out how many runs are to be scored by him in the tenth inning to raise the mean score to 61.'

In which year is the difference in rate of interest between fixed and floating the maximum?

Find the missing number in the series. 0, 2, 7, ?, 105, 531

If m times the mth term of an AP is equal to n times its nth term, find the (m+n)th term of that AP. Given that m is not equal to n.

Find the range of x2+6x+5

Find the sum of the series N= 1/3 + 1/15 + 1/35………… 100 terms

Who is the youngest among N, Q, U, S and X each being of a different age? I. U is younger than only Q and X. II. N is older than S and younger than U.

The population of a town increased from 1,65,000 to 2,82,500 in a decade. What is the overall percentage increase in the population?

In a polygon, the interior angles are in A.P. with common difference 5∘ and smallest angle 120∘, then the number of sides is :

Considering the performance of P an Q in all the papers-

Suppose, log3c=log12y=a, where x, y are positive numbers. If G is the geometric mean of x and y, and log6 G is equal to

If a and b are integers of opposite signs such that (a+3)2:b2=9:1 and (a−1)2:(b−1)2=4:1, then the ratio a2:b2 is

On a particular day, the number of vehicles passing through a crossing is given below : VehicleTwo wheelerThree wheelerFour wheelerFrequency573330 A particular vehicle is chosen at random. What is the probability that is not a four wheeler.

Before his last Physics test, Nitish's average for Physics was 33%. In his last test he scored 40% which increased his average to 34%. What must he score in his next test to increase his average to 35%?

In each of the questions below, a number series has been given followed by five alternatives. One term of the given number series is wrong. Find out the wrong term and spot a number from the alternatives which will replace the wrong term of the series. 0, 9, 64, 169, 576, 1225

What is the adult population in cities B and F?

The solution of the inequation 4−x+0.5−7∗2−x<4,xϵR is :