5411 + Interview Questions in Quantitative Aptitude Page 81 InterviewSolution

4001.	A table is set up which can seat 5 people from 4 adults and 6 children. Find the probability that the table seats atleast 2 children?
Answer» A table is set up which can seat 5 people from 4 adults and 6 children. Find the probability that the table seats atleast 2 children?

Discussion

4002.	The expenditure of Company X in the year 1998 was Rs. 200 crores and the income of Company X in 1998 was the same as its expenditure in 2001. The income of Company X in 2001 was:
Answer» The expenditure of Company X in the year 1998 was Rs. 200 crores and the income of Company X in 1998 was the same as its expenditure in 2001. The income of Company X in 2001 was:

Discussion

4003.	Two clocks are set to show the correct time at 1:00am on a day. One clock loses 3 minutes in an hour and the other clock gains 3 minutes in an hour. Exactly after how many days will both the watches show the correct time? Assume that is a 12 hour clock.
Answer» Two clocks are set to show the correct time at 1:00am on a day. One clock loses 3 minutes in an hour and the other clock gains 3 minutes in an hour. Exactly after how many days will both the watches show the correct time? Assume that is a 12 hour clock.

4003.

Two clocks are set to show the correct time at 1:00am on a day. One clock loses 3 minutes in an hour and the other clock gains 3 minutes in an hour. Exactly after how many days will both the watches show the correct time? Assume that is a 12 hour clock.

Answer»

Two clocks are set to show the correct time at 1:00am on a day. One clock loses 3 minutes in an hour and the other clock gains 3 minutes in an hour. Exactly after how many days will both the watches show the correct time? Assume that is a 12 hour clock.

Discussion

4004.	A stall sells popcorn and chips in packets of three sizes: large, super, and jumbo. The numbers of large, super, and jumbo packets in its stock are in the ratio 7 : 17 : 16 for popcorn and 6 : 15 : 14 for chips. If the total number of popcorn packets in its stock is the same as that of chips packets, then the numbers of jumbo popcorn packets and jumbo chips packets are in the ratio
Answer» A stall sells popcorn and chips in packets of three sizes: large, super, and jumbo. The numbers of large, super, and jumbo packets in its stock are in the ratio 7 : 17 : 16 for popcorn and 6 : 15 : 14 for chips. If the total number of popcorn packets in its stock is the same as that of chips packets, then the numbers of jumbo popcorn packets and jumbo chips packets are in the ratio

Discussion

4005.	Let f be a function from R to R (R means set of Real numbers) defined as f(x)=(3−x3)13 then fof(x) is
Answer» Let f be a function from R to R (R means set of Real numbers) defined as $f (x) = (3 - x^{3})^{\frac{1}{3}}$ then fof(x) is

Discussion

4006.	The solution of 2x+2\|x\|≥2√2 is
Answer» The solution of $2^{x} + 2^{\| x \|} \geq 2 \sqrt{2}$ is

Discussion

4007.	The figure denotes a circular lamina of radius 28 cm The two sectors in the figure are to be cut out find the area of the remaining portion after the two sectors have been cut out. undefinedundefinedundefinedundefined
Answer» The figure denotes a circular lamina of radius 28 cm The two sectors in the figure are to be cut out find the area of the remaining portion after the two sectors have been cut out. undefined undefined undefined undefined

Discussion

4008.	Q36. From a book having even number of pages, one page is removed at random. The average of the remaining page numbers of the book is found to be 25. Which of the following could not be the average of the page numbers of the book, including the page number of the removed page? सम संख्या के पृष्ठों वाली एक किताब से एक पृष्ठ को यादृच्छिक ढंग से हटाया जाता है। किताबों के शेष पृष्ठ संख्याओं की औसत संख्या 25 पता चलती है। हटाए गए पृष्ठ को मिलाने पर निम्नलिखित में से कौन-सी किताब की पृष्ठ संख्याओं की औसत संख्या नहीं हो सकती?
Answer» Q36. From a book having even number of pages, one page is removed at random. The average of the remaining page numbers of the book is found to be 25. Which of the following could not be the average of the page numbers of the book, including the page number of the removed page? सम संख्या के पृष्ठों वाली एक किताब से एक पृष्ठ को यादृच्छिक ढंग से हटाया जाता है। किताबों के शेष पृष्ठ संख्याओं की औसत संख्या 25 पता चलती है। हटाए गए पृष्ठ को मिलाने पर निम्नलिखित में से कौन-सी किताब की पृष्ठ संख्याओं की औसत संख्या नहीं हो सकती?

4008.

Q36. From a book having even number of pages, one page is removed at random. The average of the remaining page numbers of the book is found to be 25. Which of the following could not be the average of the page numbers of the book, including the page number of the removed page? सम संख्या के पृष्ठों वाली एक किताब से एक पृष्ठ को यादृच्छिक ढंग से हटाया जाता है। किताबों के शेष पृष्ठ संख्याओं की औसत संख्या 25 पता चलती है। हटाए गए पृष्ठ को मिलाने पर निम्नलिखित में से कौन-सी किताब की पृष्ठ संख्याओं की औसत संख्या नहीं हो सकती?

Answer»

Q36. From a book having even number of pages, one page is removed at random. The average of the remaining page numbers of the book is found to be 25. Which of the following could not be the average of the page numbers of the book, including the page number of the removed page?

सम संख्या के पृष्ठों वाली एक किताब से एक पृष्ठ को यादृच्छिक ढंग से हटाया जाता है। किताबों के शेष पृष्ठ संख्याओं की औसत संख्या 25 पता चलती है। हटाए गए पृष्ठ को मिलाने पर निम्नलिखित में से कौन-सी किताब की पृष्ठ संख्याओं की औसत संख्या नहीं हो सकती?

Discussion

4009.	A prisoner runs away from police station with a uniform speed of 100m/minute .after one minute a policeman runs behind to catch him.he goes at a speed of 100m/minute and increase his speed 10m/minute each succeding minute .after how many minutes ,the policeman catch the prisoner?
Answer» A prisoner runs away from police station with a uniform speed of 100m/minute .after one minute a policeman runs behind to catch him.he goes at a speed of 100m/minute and increase his speed 10m/minute each succeding minute .after how many minutes ,the policeman catch the prisoner?

Discussion

4010.	Ashok started walking towards South. After walking 50 m, he took a right turn and walked 30 m. He then took a right turn and walked 100 m. He then took a right turn and walked for 30 m and stopped. How far and in which direction was he from the starting point?
Answer» Ashok started walking towards South. After walking 50 m, he took a right turn and walked 30 m. He then took a right turn and walked 100 m. He then took a right turn and walked for 30 m and stopped. How far and in which direction was he from the starting point?

Discussion

4011.	What was the percentage increase in export of rice from 1991 to 1992 ?
Answer» What was the percentage increase in export of rice from 1991 to 1992 ?

Discussion

4012.	P, Q, R, S, and T run a 100 metre race. P beats Q by 20 m, R by 25 m, S by 40 m, and T by 50 m. Q, R, S, and T now run another 100 metre race. Assume that they run at exactly the same speeds as before. What is the approximate total of the distances by which Q beats R, S, and T? (Write your answer to the nearest possible natural number) Metre ___
Answer» P, Q, R, S, and T run a 100 metre race. P beats Q by 20 m, R by 25 m, S by 40 m, and T by 50 m. Q, R, S, and T now run another 100 metre race. Assume that they run at exactly the same speeds as before. What is the approximate total of the distances by which Q beats R, S, and T? (Write your answer to the nearest possible natural number) Metre ___

Discussion

4013.	What is the respective ratio between the expenditure of person A on food and the expenditure of person S on clothes?
Answer» What is the respective ratio between the expenditure of person A on food and the expenditure of person S on clothes?

Discussion

4014.	How old is Vijay's elder brother?___
Answer» How old is Vijay's elder brother?___

Discussion

4015.	Q19. There are 60 students in a class. Each student gets chocolates that are 20% of the total number of students in the class. If 30% of the total number of chocolates is distributed among one-tenth of the students, how many chocolates will each student get? किसी कक्षा में 60 विद्यार्थी हैं। प्रत्येक विद्यार्थी को चॉकलेट दी जाती है जो कि कक्षा के कुल विद्यार्थियों की संख्या का 20 % है। यदि चॉकलेट की कुल संख्या का 30 % विद्यार्थियों की कुल संख्या के दसवें भाग के बीच वितरित किया जाता है तो प्रत्येक छात्र को कितने चॉकलेट मिलेंगे?
Answer» Q19. There are 60 students in a class. Each student gets chocolates that are 20% of the total number of students in the class. If 30% of the total number of chocolates is distributed among one-tenth of the students, how many chocolates will each student get? किसी कक्षा में 60 विद्यार्थी हैं। प्रत्येक विद्यार्थी को चॉकलेट दी जाती है जो कि कक्षा के कुल विद्यार्थियों की संख्या का 20 % है। यदि चॉकलेट की कुल संख्या का 30 % विद्यार्थियों की कुल संख्या के दसवें भाग के बीच वितरित किया जाता है तो प्रत्येक छात्र को कितने चॉकलेट मिलेंगे?

4015.

Q19. There are 60 students in a class. Each student gets chocolates that are 20% of the total number of students in the class. If 30% of the total number of chocolates is distributed among one-tenth of the students, how many chocolates will each student get? किसी कक्षा में 60 विद्यार्थी हैं। प्रत्येक विद्यार्थी को चॉकलेट दी जाती है जो कि कक्षा के कुल विद्यार्थियों की संख्या का 20 % है। यदि चॉकलेट की कुल संख्या का 30 % विद्यार्थियों की कुल संख्या के दसवें भाग के बीच वितरित किया जाता है तो प्रत्येक छात्र को कितने चॉकलेट मिलेंगे?

Answer»

Q19. There are 60 students in a class. Each student gets chocolates that are 20% of the total number of students in the class. If 30% of the total number of chocolates is distributed among one-tenth of the students, how many chocolates will each student get?

किसी कक्षा में 60 विद्यार्थी हैं। प्रत्येक विद्यार्थी को चॉकलेट दी जाती है जो कि कक्षा के कुल विद्यार्थियों की संख्या का 20 % है। यदि चॉकलेट की कुल संख्या का 30 % विद्यार्थियों की कुल संख्या के दसवें भाग के बीच वितरित किया जाता है तो प्रत्येक छात्र को कितने चॉकलेट मिलेंगे?

Discussion

4016.	Which player was the last in the "Pirate Bay-II" tournament?
Answer» Which player was the last in the "Pirate Bay-II" tournament?

Discussion

4017.	The class average for the first social studies test in Molly’s class was 85%. 23 students took the test. When the 24th student joined the class and took the same test, the class average went up to 85.5%. What grade did the new student earn on the exam?
Answer» The class average for the first social studies test in Molly’s class was $85 %$ . 23 students took the test. When the 24th student joined the class and took the same test, the class average went up to $85.5 %$ . What grade did the new student earn on the exam?

Discussion

4018.	If the lowest temperature in Gulmarg in Kashmir was - 10∘C in January and in summer the temperature rose by 43 degrees and reached the maximum temperature, what was the maximum temperature that year?
Answer» If the lowest temperature in Gulmarg in Kashmir was - $10^{\circ} C$ in January and in summer the temperature rose by 43 degrees and reached the maximum temperature, what was the maximum temperature that year?

Discussion

4019.	A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.16. Determine (i) P (not A ) (ii) P (not B) and (iii) P (A or B)
Answer» A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.16. Determine (i) P (not A ) (ii) P (not B) and (iii) P (A or B)

Discussion

4020.	In the given figure, O is the centre of the circle, ∠OAB=30∘ and ∠OCB=55∘. Find the measures of ∠BOC and ∠AOC.
Answer» In the given figure, O is the centre of the circle, $∠ O A B = 30^{\circ}$ and $∠ O C B = 55^{\circ}$ . Find the measures of $∠ B O C$ and $∠ A O C$ .

Discussion

4021.	Given p ≤4 is a positive real. Let A be the area of the bounded region enclosed by the curves y = 1 - \|1-x\| and y = \|2x-p\|. Then which among the following best describes A?
Answer» Given p $\leq$ 4 is a positive real. Let A be the area of the bounded region enclosed by the curves y = 1 - \|1-x\| and y = \|2x-p\|. Then which among the following best describes A?

Discussion

4022.	What is the value of m , if a3+3a2–am+4 when divided by a−2, gives a remainder m?
Answer» What is the value of m , if $a^{3} + 3 a^{2} - a m + 4$ when divided by $a - 2$ , gives a remainder m?

Discussion

4023.	What is the total number of matches played in the tournament?
Answer» What is the total number of matches played in the tournament?

Discussion

4024.	Three Science classes: A, B, and C, take a test 1. The average score in class A is 83 2. The average score in class B is 76 3. The average score in class C is 85 4. The average score of all students in classes A and B together is 79 5. The average score of all students in classes B and C together is 81 What is the average for all three classes?
Answer» Three Science classes: A, B, and C, take a test 1. The average score in class A is 83 2. The average score in class B is 76 3. The average score in class C is 85 4. The average score of all students in classes A and B together is 79 5. The average score of all students in classes B and C together is 81 What is the average for all three classes?

4024.

Three Science classes: A, B, and C, take a test 1. The average score in class A is 83 2. The average score in class B is 76 3. The average score in class C is 85 4. The average score of all students in classes A and B together is 79 5. The average score of all students in classes B and C together is 81 What is the average for all three classes?

Answer»

Three Science classes: A, B, and C, take a test

1. The average score in class A is 83

2. The average score in class B is 76

3. The average score in class C is 85

4. The average score of all students in classes A and B together is 79

5. The average score of all students in classes B and C together is 81

What is the average for all three classes?

Discussion

4025.	Had there been no anomaly in the selling patterns of the four, how many pen drives more/less would the four together sell in the year?
Answer» Had there been no anomaly in the selling patterns of the four, how many pen drives more/less would the four together sell in the year?

Discussion

4026.	A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how long is B in the business, if the profits at the end of the year are divided in the ratio of 3 : 1?
Answer» A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how long is B in the business, if the profits at the end of the year are divided in the ratio of 3 : 1?

Discussion

4027.	If f(t)=√t, g(t)=t4 and h(t) = 4t - 8, then the formula for g(f(h(t)) will be?
Answer» If $f (t) = \sqrt{t}, g (t) = \frac{t}{4}$ and h(t) = 4t - 8, then the formula for g(f(h(t)) will be?

Discussion

4028.	If A, B, C, D, are the angles of cyclic quadrilateral, then cosA + cosB + cosC + cosD =
Answer» If A, B, C, D, are the angles of cyclic quadrilateral, then cosA + cosB + cosC + cosD =

Discussion

4029.	How much money did X invest? I. An increase in the simple interest from 478% to 518% per annum increases his yearly income by Rs 25. II. The sum invested gets doubled when invested at 8% per annum for 1212 yr.
Answer» How much money did X invest? I. An increase in the simple interest from $4 \frac{7}{8} %$ to $5 \frac{1}{8} %$ per annum increases his yearly income by Rs 25. II. The sum invested gets doubled when invested at $8 %$ per annum for $12 \frac{1}{2}$ yr.

Discussion

4030.	As what sum the compound interest will become Rs. 1373.36 at 12% p.a. after 2 years.
Answer» As what sum the compound interest will become Rs. 1373.36 at 12 $%$ p.a. after 2 years.

Discussion

4031.	How many natural number solutions are there for the equation, A+B+C = 100?
Answer» How many natural number solutions are there for the equation, A+B+C = 100?

Discussion

4032.	Both the H.C.F and the difference of two numbers is 7. If the L.C.M of the two numbers is a three digit number, then what is the maximum possible value of the smaller number?
Answer» Both the H.C.F and the difference of two numbers is 7. If the L.C.M of the two numbers is a three digit number, then what is the maximum possible value of the smaller number?

Discussion

4033.	Find the next term in the following sequence. hud, jzh, lel, njp, ?
Answer» Find the next term in the following sequence. hud, jzh, lel, njp, ?

Discussion

4034.	You need to select 7 members for a Cabinet. For political issues, the party has decided to select them from the following pool of members. Five from North - A, B, C, D, E Five from South - L, M, N, O, P Conditions: i) There must be at least three members each from north and south ii) If A is selected, E cannot be selected. iii) If L is selected, neither O nor P can be selected. iv) If M is selected, P cannot be selected. Who should always be selected?
Answer» You need to select 7 members for a Cabinet. For political issues, the party has decided to select them from the following pool of members. Five from North - A, B, C, D, E Five from South - L, M, N, O, P Conditions: i) There must be at least three members each from north and south ii) If A is selected, E cannot be selected. iii) If L is selected, neither O nor P can be selected. iv) If M is selected, P cannot be selected. Who should always be selected?

Discussion

4035.	If the ratio of the sum of first n terms of two A.P's is (7n+1): (4n+27), find the of their mth terms
Answer» If the ratio of the sum of first n terms of two A.P's is (7n+1): (4n+27), find the of their $m^{t h}$ terms

Discussion

4036.	Two concentric circles have a common centre O a line L intersectthe outer circle at A and B and the inner circle at C and D . If AB =x and CD = y prove that AC = BD = 12 (x - y)
Answer» Two concentric circles have a common centre O a line L intersectthe outer circle at A and B and the inner circle at C and D . If AB =x and CD = y prove that AC = BD = $\frac{1}{2}$ (x - y)

Discussion

4037.	If both the roots of the equation x2−6ax+2−2a+9a2=0 exceed 3, then find the value of a.undefinedundefinedundefinedundefined
Answer» If both the roots of the equation $x^{2} - 6 a x + 2 - 2 a + 9 a^{2} = 0$ exceed 3, then find the value of a. undefined undefined undefined undefined

Discussion

4038.	If the pass code for 7 p.m. to 8 p.m. batch is 'pen with write pencil 'nice time day', what will be the pass code for 11 a.m. to 12 noon?
Answer» If the pass code for 7 p.m. to 8 p.m. batch is 'pen with write pencil 'nice time day', what will be the pass code for 11 a.m. to 12 noon?

Discussion

4039.	If the difference between the capacity of a pipeline and the amount of oil flowing in it is called as the slack in that pipeline, what is the slack in the pipeline connecting units C and D (in litres)?___
Answer» If the difference between the capacity of a pipeline and the amount of oil flowing in it is called as the slack in that pipeline, what is the slack in the pipeline connecting units C and D (in litres)?___

Discussion

4040.	The probability that two integers chosen at random and their product will have the same last digit is:
Answer» The probability that two integers chosen at random and their product will have the same last digit is:

Discussion

4041.	A bag contains 3 red and 7 black balls, two balls are taken out at random without replacement. If the first ball taken out is red, then the probability that the second taken out ball is red:
Answer» A bag contains 3 red and 7 black balls, two balls are taken out at random without replacement. If the first ball taken out is red, then the probability that the second taken out ball is red:

Discussion

4042.	Find the sum of the number of books possessed by A and B.___
Answer» Find the sum of the number of books possessed by A and B.___

Discussion

4043.	What is the central angle corresponding to the total number of cellular phones (both Nokia and Samsung) sold by store S?
Answer» What is the central angle corresponding to the total number of cellular phones (both Nokia and Samsung) sold by store S?

Discussion

4044.	PQ is a chord of length S cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T. Find the length of TP.
Answer» PQ is a chord of length S cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T. Find the length of TP.

Discussion

4045.	N=(323232…….. 50 digits)9.ie in base 9. Find the remainder when N is divided by 8?
Answer» N=(323232…….. 50 digits)₉.ie in base 9. Find the remainder when N is divided by 8?

Discussion

4046.	Let g(x) = max (2x+1, 3-4x) where 'x' is a real number. Find the minimum possible value of g(x).
Answer» Let g(x) = max (2x+1, 3-4x) where 'x' is a real number. Find the minimum possible value of g(x).

Discussion

4047.	A started a business with Rs. 52,000 and after 4 months B joined him with Rs.39,000. At the end of the year, out of the total profits B received total Rs. 20,000 including 25% of the profits as commission for managing the business. What amount did A receive?
Answer» A started a business with Rs. 52,000 and after 4 months B joined him with Rs.39,000. At the end of the year, out of the total profits B received total Rs. 20,000 including $25 %$ of the profits as commission for managing the business. What amount did A receive?

Discussion

4048.	Until the MBA arrived on the scene, the IIT graduate was king. A. A degree from one of the five IIT's was passport to a well-paying job, great prospects abroad and, for some, a decent dowry to boot. B. From the day he or she cracked the joint entrance exam, the IIT student commanded the awe of neighbours and close relatives. C. IIT students had, meanwhile, also developed their own special culture, complete with lingo and attitude, which they passed down. D. True, the success stories of IIT graduates are legion and they now constitute the cream of the Indian diaspora. 6. But not many alumni would agree that the IIT undergraduate mindset merits serious psychological study, let alone an interactive one. (CAT 1997)
Answer» Until the MBA arrived on the scene, the IIT graduate was king. A. A degree from one of the five IIT's was passport to a well-paying job, great prospects abroad and, for some, a decent dowry to boot. B. From the day he or she cracked the joint entrance exam, the IIT student commanded the awe of neighbours and close relatives. C. IIT students had, meanwhile, also developed their own special culture, complete with lingo and attitude, which they passed down. D. True, the success stories of IIT graduates are legion and they now constitute the cream of the Indian diaspora. 6. But not many alumni would agree that the IIT undergraduate mindset merits serious psychological study, let alone an interactive one. (CAT 1997)

4048.

Until the MBA arrived on the scene, the IIT graduate was king. A. A degree from one of the five IIT's was passport to a well-paying job, great prospects abroad and, for some, a decent dowry to boot. B. From the day he or she cracked the joint entrance exam, the IIT student commanded the awe of neighbours and close relatives. C. IIT students had, meanwhile, also developed their own special culture, complete with lingo and attitude, which they passed down. D. True, the success stories of IIT graduates are legion and they now constitute the cream of the Indian diaspora. 6. But not many alumni would agree that the IIT undergraduate mindset merits serious psychological study, let alone an interactive one. (CAT 1997)

Answer»

Until the MBA arrived on the scene, the IIT graduate was king.
A. A degree from one of the five IIT's was passport to a well-paying job, great prospects abroad and, for some, a decent dowry to boot.
B. From the day he or she cracked the joint entrance exam, the IIT student commanded the awe of neighbours and close relatives.
C. IIT students had, meanwhile, also developed their own special culture, complete with lingo and attitude, which they passed down.
D. True, the success stories of IIT graduates are legion and they now constitute the cream of the Indian diaspora.
6. But not many alumni would agree that the IIT undergraduate mindset merits serious psychological study, let alone an interactive one.

(CAT 1997)

Discussion

4049.	How many girls are taller than Shravan in his class ? I. When students of Shravan's class are ranked in descending order of their heights, Shravan 's rank is 17th from the top among all the students and 12th among boys. II. Shravan's rank from the bottom on the basis of height among boys is 18th and among all students, 29th.
Answer» How many girls are taller than Shravan in his class ? I. When students of Shravan's class are ranked in descending order of their heights, Shravan 's rank is 17^th from the top among all the students and 12^th among boys. II. Shravan's rank from the bottom on the basis of height among boys is 18^th and among all students, 29^th.

4049.

How many girls are taller than Shravan in his class ? I. When students of Shravan's class are ranked in descending order of their heights, Shravan 's rank is 17th from the top among all the students and 12th among boys. II. Shravan's rank from the bottom on the basis of height among boys is 18th and among all students, 29th.

Answer»

How many girls are taller than Shravan in his class ?

I. When students of Shravan's class are ranked in descending order of their heights, Shravan 's rank is 17^th from the top among all the students and 12^th among boys.

II. Shravan's rank from the bottom on the basis of height among boys is 18^th and among all students, 29^th.

Discussion

4050.	Prove that n2 - n is divisible by 2 for every positive integer n.
Answer» Prove that n² - n is divisible by 2 for every positive integer n.

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