5411 + Interview Questions in Quantitative Aptitude Page 49 InterviewSolution

2401.	If n is a positive integer, what is the smallest value of n such that (n+10) + (n+11) + (n+12) + ......+ (n+58) is a perfect square?
Answer» If n is a positive integer, what is the smallest value of n such that (n+10) + (n+11) + (n+12) + ......+ (n+58) is a perfect square?

2401.

If n is a positive integer, what is the smallest value of n such that (n+10) + (n+11) + (n+12) + ......+ (n+58) is a perfect square?

Answer»

If n is a positive integer, what is the smallest value of n such that

(n+10) + (n+11) + (n+12) + ......+ (n+58) is a perfect square?

2402.	topic=variation of g at height h:g(h)=GM/(R+H)^2AND IN NEXT STEP HOW DOES IT BECOME:g(h)=GM/R^2(1+H/R)^2
Answer» topic=variation of g at height h: g(h)=GM/(R+H)^2 AND IN NEXT STEP HOW DOES IT BECOME: g(h)=GM/R^2(1+H/R)^2

Discussion

2403.	25 Find the perimeter of a with the vertices (0,5) , (5,1) and (-1,-1). Also name the type of formed?
Answer» 25 Find the perimeter of a with the vertices (0,5) , (5,1) and (-1,-1). Also name the type of formed?

Discussion

2404.	.In AABC, AB 4, AC 6, point H is the projection of vertex B to the bisector of angle A, find MH, whereM is mid point of BC.AABC ,AB = 4, AC = 6,(A) 1(B) 2(C) 3(D) 4
Answer» .In AABC, AB 4, AC 6, point H is the projection of vertex B to the bisector of angle A, find MH, whereM is mid point of BC.AABC ,AB = 4, AC = 6,(A) 1(B) 2(C) 3(D) 4

Discussion

2405.	The total number of women in the building is approximately what percent of the total number of members in the building?
Answer» The total number of women in the building is approximately what percent of the total number of members in the building?

Discussion

2406.	In which year and from which school did the maximum number of students appear in the exam?
Answer» In which year and from which school did the maximum number of students appear in the exam?

Discussion

2407.	Sony had to travel a certain distance.He travelled 3/5 of the distance at 40 kmph .and the remaining at 60 kmph .If the total time taken is 6 1/2 hours . Find the distance he travelled?
Answer» Sony had to travel a certain distance.He travelled 3/5 of the distance at 40 kmph .and the remaining at 60 kmph .If the total time taken is 6 1/2 hours . Find the distance he travelled?

Discussion

2408.	The number of words that can be formd out of the letters of the word COMMITTEE is
Answer» The number of words that can be formd out of the letters of the word COMMITTEE is

Discussion

2409.	150 workers were engaged to finish a piece of work in certain number of days . four workers dropped the second day , four more dropped the third day and so on . it takes 8 days more to finish the work now . find the number of days in which work was completed .
Answer» 150 workers were engaged to finish a piece of work in certain number of days . four workers dropped the second day , four more dropped the third day and so on . it takes 8 days more to finish the work now . find the number of days in which work was completed .

Discussion

2410.	Aditya and Dhana sit for the selection of a six member team for a project X in company Z. If the team is to be split up into 2 three-person sub-teams, the percent of all the possible subteams that include Aditya also include Dhan is___
Answer» Aditya and Dhana sit for the selection of a six member team for a project X in company Z. If the team is to be split up into 2 three-person sub-teams, the percent of all the possible subteams that include Aditya also include Dhan is___

Discussion

2411.	What is the difference between the average production of flavour X in 1995, 1996 and 1997 and the average production of flavour Y in 1998, 1999 and 2000?
Answer» What is the difference between the average production of flavour X in 1995, 1996 and 1997 and the average production of flavour Y in 1998, 1999 and 2000?

Discussion

2412.	Two AMs. A1 and A2, two GMs. G1 and G2 and two HMs. H1 and H2 are inserted between any two numbers. Then find the arithmetic mean between H1 and H2 in terms of A1,A2,G1,G2.
Answer» Two AMs. $A_{1} a n d A_{2}$ , two GMs. $G_{1} a n d G_{2}$ and two HMs. $H_{1} a n d H_{2}$ are inserted between any two numbers. Then find the arithmetic mean between $H_{1} a n d H_{2}$ in terms of $A_{1}, A_{2}, G_{1}, G_{2} .$

Discussion

2413.	99.Let a R b be the relation on the set N of all natural numbers defined by a+3b=12. Find the domain and range of R
Answer» 99.Let a R b be the relation on the set N of all natural numbers defined by a+3b=12. Find the domain and range of R

Discussion

2414.	Question 116 Find x, so that (29)3×(29)−6=(29)2x−1.
Answer» Question 116 Find x, so that ${(\frac{2}{9})}^{3} \times {(\frac{2}{9})}^{- 6} = {(\frac{2}{9})}^{2 x - 1} .$

2414.

Question 116 Find x, so that (29)3×(29)−6=(29)2x−1.

Answer»

Question 116

Find x, so that

${(\frac{2}{9})}^{3} \times {(\frac{2}{9})}^{- 6} = {(\frac{2}{9})}^{2 x - 1} .$

Discussion

2415.	Three numbers are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is
Answer» Three numbers are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is

Discussion

2416.	show that one and only one out of n,n+4,n+8,n+12 and n+16 is divisible by 5 , where n is any po
Answer» show that one and only one out of n,n+4,n+8,n+12 and n+16 is divisible by 5 , where n is any po

Discussion

2417.	Four concentric circles share the same centre. The smallest circle has a radius of 1 inch. For n ≥ 1, the area of the nth smallest circle in square inches, An, is given by An+1=An+(2n+1)π. What is the ratio of the sum of the areas of the four circles to the sum of their circumferences?
Answer» Four concentric circles share the same centre. The smallest circle has a radius of 1 inch. For n ≥ 1, the area of the nth smallest circle in square inches, A_n, is given by $A_{n + 1} = A_{n} + (2 n + 1) π$ . What is the ratio of the sum of the areas of the four circles to the sum of their circumferences?

Discussion

2418.	In an examination, the maximum marks for each of the three papers are 50 each. Maximummarks for the fourth paper are 100. Find the number of ways in which the candidate can score 60%marks in the aggregate.
Answer» In an examination, the maximum marks for each of the three papers are 50 each. Maximum marks for the fourth paper are 100. Find the number of ways in which the candidate can score 60% marks in the aggregate.

Discussion

2419.	Question 2It is given that ΔABC∼ΔEDF such that AB = 5cm, AC = 7cm, DF = 15cm and DE = 12cm. Find the lengths of the remaining sides of the triangles.
Answer» Question 2 It is given that $Δ A B C \sim Δ E D F$ such that AB = 5cm, AC = 7cm, DF = 15cm and DE = 12cm. Find the lengths of the remaining sides of the triangles.

Discussion

2420.	8 If the first term and nth term of an ap are -5 and an respectively, then find the value of a19-2a10 ?
Answer» 8 If the first term and nth term of an ap are -5 and an respectively, then find the value of a19-2a10 ?

Discussion

2421.	In a school there were 860 students, 35% study Sanskrit .How many students do not learn Sanskrit? [2 MARKS]
Answer» In a school there were 860 students, 35% study Sanskrit .How many students do not learn Sanskrit? [2 MARKS]

Discussion

2422.	Who topped the Group Discussion test?
Answer» Who topped the Group Discussion test?

Discussion

2423.	16 For any positive integer n, show that one and only one out of n, n plus 3, n plus 6 or n plus 9 is divisible by 4.
Answer» 16 For any positive integer n, show that one and only one out of n, n plus 3, n plus 6 or n plus 9 is divisible by 4.

Discussion

2424.	26. Let w be the cube root of unity and the roots of the cubic equation (z+w)³ =8 , represent the vertices of triangle then what is the area of the triangle
Answer» 26. Let w be the cube root of unity and the roots of the cubic equation (z+w)³ =8 , represent the vertices of triangle then what is the area of the triangle

Discussion

2425.	Abhay choses to bat and he scores exactly 50 runs in 12 balls. He makes only zeroes, fours and sixes in these 12 balls. It is also known that he does not score more than 2 zeroes. In how many different ways can he do so?
Answer» Abhay choses to bat and he scores exactly 50 runs in 12 balls. He makes only zeroes, fours and sixes in these 12 balls. It is also known that he does not score more than 2 zeroes. In how many different ways can he do so?

2425.

Abhay choses to bat and he scores exactly 50 runs in 12 balls. He makes only zeroes, fours and sixes in these 12 balls. It is also known that he does not score more than 2 zeroes. In how many different ways can he do so?

Answer»

Abhay choses to bat and he scores exactly 50 runs in 12 balls. He makes only zeroes, fours and sixes in these 12 balls. It is also known that he does not score more than 2 zeroes. In how many different ways can he do so?

Discussion

2426.	What is the profession of A?
Answer» What is the profession of A?

Discussion

2427.	A butler stole wine from a butt of sherry which contained 30% of spirit and he replaced what he had stolen by wine containing only 12% of spirit. The butt was then 18% strong only. How much of the butt did he steal?
Answer» A butler stole wine from a butt of sherry which contained 30% of spirit and he replaced what he had stolen by wine containing only 12% of spirit. The butt was then 18% strong only. How much of the butt did he steal?

Discussion

2428.	(11100)2 =(1001)x. What is the value of x?
Answer» $(11100)_{2} = (1001)_{x}$ . What is the value of x?

Discussion

2429.	In △ABC,A≡(1,1) and P,Q,R are respectively the midpoints of sides BC,CA and AB where P≡(−3,−1). If centroid of △PQR is (α,β) then \|α+β\|
Answer» In $△ A B C, A \equiv (1, 1)$ and $P, Q, R$ are respectively the midpoints of sides $B C, C A$ and $A B$ where $P \equiv (- 3, - 1)$ . If centroid of $△ P Q R$ is $(α, β)$ then $\| α + β \|$

Discussion

2430.	What will be the output of the following code segment:myList = [1,2,3,4,5,6,7,8,9,10]for i in range(0,len(myList)): if i%2 == 0: print(myList[i])
Answer» What will be the output of the following code segment: myList = [1,2,3,4,5,6,7,8,9,10] for i in range(0,len(myList)): if i%2 == 0: print(myList[i])

Discussion

2431.	Find the indicated term in the sequence, whose nth term is: an=n22n; a7.
Answer» Find the indicated term in the sequence, whose $n^{t h}$ term is: $a_{n} = \frac{n^{2}}{2^{n}}; a_{7}$ .

Discussion

2432.	29. If x is a natural number which when divided by 5,leaves remainder 3,then the remainder when x square - 5 x + 2 is divided by 5
Answer» 29. If x is a natural number which when divided by 5,leaves remainder 3,then the remainder when x square - 5 x + 2 is divided by 5

Discussion

2433.	Equation 2x2+5xy+3y2+6x+7y+4=0 represents a pair of straight lines. If their point of intersection is (h,k) find the value of h-k. __
Answer» Equation $2 x^{2} + 5 x y + 3 y^{2} + 6 x + 7 y + 4 = 0$ represents a pair of straight lines. If their point of intersection is (h,k) find the value of h-k. __

Discussion

2434.	The natural number has prime factorization given by N=23⋅5x⋅7y, where x+y=5 and 1x+1y=56 (x>y). Then the number of even divisors of N (excluding N), is equal to
Answer» The natural number has prime factorization given by $N = 2^{3} \cdot 5^{x} \cdot 7^{y},$ where $x + y = 5$ and $\frac{1}{x} + \frac{1}{y} = \frac{5}{6} (x > y) .$ Then the number of even divisors of $N ($ excluding $N),$ is equal to

Discussion

2435.	If R=(3065−2965)(3064−2964) , then (CAT 2005)
Answer» If $R = \frac{(30^{65} - 29^{65})}{(30^{64} - 29^{64})}$ , then (CAT 2005)

Discussion

2436.	Use the line graph given here to solve the question: Among the options given, the combined percentage contribution of ‘Problem A’ and ‘Problem B’ towards ‘Biggest School problem’ is least for the year
Answer» Use the line graph given here to solve the question: Among the options given, the combined percentage contribution of ‘Problem A’ and ‘Problem B’ towards ‘Biggest School problem’ is least for the year

Discussion

2437.	Zog moves to a big cave with some more friends. Count the number of his friends in the new cave.
Answer» Zog moves to a big cave with some more friends. Count the number of his friends in the new cave.

Discussion

2438.	The passbook of Mr Randhir showed an overdraft balance of Rs. 40,950 on March 31, 2010. Prepare bank reconciliation statement on March 31, 2010. (i) Out of cheques amounting to Rs. 8,000 drawn by Mr Randhir on March 27 a cheque for Rs. 3,000 was encashed on April 3. (ii) Credited by the bank with Rs. 3,800 for interest collected by them, but the amount is not entered in the cash book. (iii) Rs. 10,900 paid in by Mr Randhir in cash and by cheques on March 31, cheques amounting to Rs. 3,800 were collected on April 7. (iv) A cheque of Rs. 780 credited in the passbook on March 28 being dishonoured is debited again in the passbook on April 1, 2010. There was no entry in the cash book about the dishonour of the cheque until April 15.
Answer» The passbook of Mr Randhir showed an overdraft balance of Rs. 40,950 on March 31, 2010. Prepare bank reconciliation statement on March 31, 2010. (i) Out of cheques amounting to Rs. 8,000 drawn by Mr Randhir on March 27 a cheque for Rs. 3,000 was encashed on April 3. (ii) Credited by the bank with Rs. 3,800 for interest collected by them, but the amount is not entered in the cash book. (iii) Rs. 10,900 paid in by Mr Randhir in cash and by cheques on March 31, cheques amounting to Rs. 3,800 were collected on April 7. (iv) A cheque of Rs. 780 credited in the passbook on March 28 being dishonoured is debited again in the passbook on April 1, 2010. There was no entry in the cash book about the dishonour of the cheque until April 15.

2438.

The passbook of Mr Randhir showed an overdraft balance of Rs. 40,950 on March 31, 2010. Prepare bank reconciliation statement on March 31, 2010. (i) Out of cheques amounting to Rs. 8,000 drawn by Mr Randhir on March 27 a cheque for Rs. 3,000 was encashed on April 3. (ii) Credited by the bank with Rs. 3,800 for interest collected by them, but the amount is not entered in the cash book. (iii) Rs. 10,900 paid in by Mr Randhir in cash and by cheques on March 31, cheques amounting to Rs. 3,800 were collected on April 7. (iv) A cheque of Rs. 780 credited in the passbook on March 28 being dishonoured is debited again in the passbook on April 1, 2010. There was no entry in the cash book about the dishonour of the cheque until April 15.

Answer»

The passbook of Mr Randhir showed an overdraft balance of Rs. 40,950 on March 31, 2010.

Prepare bank reconciliation statement on March 31, 2010.

(i) Out of cheques amounting to Rs. 8,000 drawn by Mr Randhir on March 27 a cheque for Rs. 3,000 was encashed on April 3.

(ii) Credited by the bank with Rs. 3,800 for interest collected by them, but the amount is not entered in the cash book.

(iii) Rs. 10,900 paid in by Mr Randhir in cash and by cheques on March 31, cheques amounting to Rs. 3,800 were collected on April 7.

(iv) A cheque of Rs. 780 credited in the passbook on March 28 being dishonoured is debited again in the passbook on April 1, 2010. There was no entry in the cash book about the dishonour of the cheque until April 15.

Discussion

2439.	If f(x)=x2+6x+a,g(x)=x2+4x+b,h(x)=x2+14x+c and the LCM of f(x), g(x) and h(x) is (x + 8)(x - 2)(x - 6), then the value of a + b +c is
Answer» If $f (x) = x^{2} + 6 x + a, g (x) = x^{2} + 4 x + b, h (x) = x^{2} + 14 x + c$ and the LCM of f(x), g(x) and h(x) is (x + 8)(x - 2)(x - 6), then the value of a + b +c is

Discussion

2440.	The below question consists of problem figures and followed by four answer figures (A), (B), (C) and (D). Find out the figure from the answer figures which will continue the given series.
Answer» The below question consists of problem figures and followed by four answer figures (A), (B), (C) and (D). Find out the figure from the answer figures which will continue the given series.

Discussion

2441.	Read the following passage and answer the questions that follow: Equal number of students from two schools are meeting in a sports meet and in this meet, total number of boys is equal to the total number of girls. Students of same sex and same school hug each other and students of same school but different sex handshake with each other. Total number of girls in the meet is 3 and each of the two schools is sending at least 1 boy and 1 girl to the meet. Q60. What is the total number of hugs in the meet? निम्नलिखित परिचछेद को पढ़िए और इसके आगे आने वाले प्रश्नों के उत्तर दीजिएः एक स्पोर्ट्स बैठक (sports meet) में दो विद्यालयों से समान संख्या में विद्यार्थी भाग ले रहे हैं और इस बैठक में, लड़कों की कुल संख्या लड़कियों की कुल संख्या के बराबर है। एक हीं विद्यलाय के तथा सम लिंगी विद्यार्थी एक-दूसरे से गले मिलते हैं और एक हीं विद्यालय के परंतु विषम लिंगी विद्यार्थी एक-दूसरे से हाथ मिलाते हैं। बैठक में लड़कियों की कुल संख्या 3 हैं और दोनों में से प्रत्येक विद्यालय बैठक में कम से कम 1 लड़का और 1 लड़की भेज रहा है। Q60. बैठक में गले मिलने की कुल संख्या कितनी है?
Answer» Read the following passage and answer the questions that follow: Equal number of students from two schools are meeting in a sports meet and in this meet, total number of boys is equal to the total number of girls. Students of same sex and same school hug each other and students of same school but different sex handshake with each other. Total number of girls in the meet is 3 and each of the two schools is sending at least 1 boy and 1 girl to the meet. Q60. What is the total number of hugs in the meet? निम्नलिखित परिचछेद को पढ़िए और इसके आगे आने वाले प्रश्नों के उत्तर दीजिएः एक स्पोर्ट्स बैठक (sports meet) में दो विद्यालयों से समान संख्या में विद्यार्थी भाग ले रहे हैं और इस बैठक में, लड़कों की कुल संख्या लड़कियों की कुल संख्या के बराबर है। एक हीं विद्यलाय के तथा सम लिंगी विद्यार्थी एक-दूसरे से गले मिलते हैं और एक हीं विद्यालय के परंतु विषम लिंगी विद्यार्थी एक-दूसरे से हाथ मिलाते हैं। बैठक में लड़कियों की कुल संख्या 3 हैं और दोनों में से प्रत्येक विद्यालय बैठक में कम से कम 1 लड़का और 1 लड़की भेज रहा है। Q60. बैठक में गले मिलने की कुल संख्या कितनी है?

2441.

Read the following passage and answer the questions that follow: Equal number of students from two schools are meeting in a sports meet and in this meet, total number of boys is equal to the total number of girls. Students of same sex and same school hug each other and students of same school but different sex handshake with each other. Total number of girls in the meet is 3 and each of the two schools is sending at least 1 boy and 1 girl to the meet. Q60. What is the total number of hugs in the meet? निम्नलिखित परिचछेद को पढ़िए और इसके आगे आने वाले प्रश्नों के उत्तर दीजिएः एक स्पोर्ट्स बैठक (sports meet) में दो विद्यालयों से समान संख्या में विद्यार्थी भाग ले रहे हैं और इस बैठक में, लड़कों की कुल संख्या लड़कियों की कुल संख्या के बराबर है। एक हीं विद्यलाय के तथा सम लिंगी विद्यार्थी एक-दूसरे से गले मिलते हैं और एक हीं विद्यालय के परंतु विषम लिंगी विद्यार्थी एक-दूसरे से हाथ मिलाते हैं। बैठक में लड़कियों की कुल संख्या 3 हैं और दोनों में से प्रत्येक विद्यालय बैठक में कम से कम 1 लड़का और 1 लड़की भेज रहा है। Q60. बैठक में गले मिलने की कुल संख्या कितनी है?

Answer»

Read the following passage and answer the questions that follow:

Equal number of students from two schools are meeting in a sports meet and in this meet, total number of boys is equal to the total number of girls. Students of same sex and same school hug each other and students of same school but different sex handshake with each other. Total number of girls in the meet is 3 and each of the two schools is sending at least 1 boy and 1 girl to the meet.

Q60. What is the total number of hugs in the meet?

निम्नलिखित परिचछेद को पढ़िए और इसके आगे आने वाले प्रश्नों के उत्तर दीजिएः

एक स्पोर्ट्स बैठक (sports meet) में दो विद्यालयों से समान संख्या में विद्यार्थी भाग ले रहे हैं और इस बैठक में, लड़कों की कुल संख्या लड़कियों की कुल संख्या के बराबर है। एक हीं विद्यलाय के तथा सम लिंगी विद्यार्थी एक-दूसरे से गले मिलते हैं और एक हीं विद्यालय के परंतु विषम लिंगी विद्यार्थी एक-दूसरे से हाथ मिलाते हैं। बैठक में लड़कियों की कुल संख्या 3 हैं और दोनों में से प्रत्येक विद्यालय बैठक में कम से कम 1 लड़का और 1 लड़की भेज रहा है।

Q60. बैठक में गले मिलने की कुल संख्या कितनी है?

Discussion

2442.	Percentage wise distribution of players who play six different games Q13. What is the respective ratio of the number of players who play tennis to the number of players who play hockey?
Answer» Percentage wise distribution of players who play six different games Q13. What is the respective ratio of the number of players who play tennis to the number of players who play hockey?

2442.

Percentage wise distribution of players who play six different games Q13. What is the respective ratio of the number of players who play tennis to the number of players who play hockey?

Answer»

Percentage wise distribution of players who play six different games

Q13. What is the respective ratio of the number of players who play tennis to the number of players who play hockey?

Discussion

2443.	Question 6Write True or False and justify your answer :If AOB is a diameter of a circle and C is a point on the circle, then AC2+BC2=AB2
Answer» Question 6 Write True or False and justify your answer : If AOB is a diameter of a circle and C is a point on the circle, then $A C^{2} + B C^{2} = A B^{2}$

Discussion

2444.	Solve these 2=10*q(9-q) step by step
Answer» Solve these 2=10*q(9-q) step by step

Discussion

2445.	Find the area of the biggest possible triangle whose base is 10 cm and perimeter 36 cm.
Answer» Find the area of the biggest possible triangle whose base is 10 cm and perimeter 36 cm.

Discussion

2446.	The sum of all the even positive integers less than 200 which are not divisible by 6 is
Answer» The sum of all the even positive integers less than 200 which are not divisible by 6 is

Discussion

2447.	What was the percentage increase in imports from 1997 to 1998?
Answer» What was the percentage increase in imports from 1997 to 1998?

Discussion

2448.	Find the average of all the odd numbers and average of all the even numbers from 1 to 45.
Answer» Find the average of all the odd numbers and average of all the even numbers from 1 to 45.

Discussion

2449.	The coefficient of x in the equation ax2+bx+c=0 was wrongly taken as 17 instead of 13 & its roots were -2, -15. Actual roots are _____.
Answer» The coefficient of x in the equation $a x^{2} + b x + c = 0$ was wrongly taken as 17 instead of 13 & its roots were -2, -15. Actual roots are _____.

Discussion

2450.	A ball is dropped on the ground from height 10 m.If coefficient of restitution is 0.2, then the height towhich ball will rebound is(2) 0.4 m(1) 0.2 m(4) 0.1 m(3) 0.3 m
Answer» A ball is dropped on the ground from height 10 m.If coefficient of restitution is 0.2, then the height towhich ball will rebound is(2) 0.4 m(1) 0.2 m(4) 0.1 m(3) 0.3 m

Discussion

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The coefficient of x in the equation ax2+bx+c=0 was wrongly taken as 17 instead of 13 &amp; its roots were -2, -15. Actual roots are _____.

A ball is dropped on the ground from height 10 m.If coefficient of restitution is 0.2, then the height towhich ball will rebound is(2) 0.4 m(1) 0.2 m(4) 0.1 m(3) 0.3 m

The natural number has prime factorization given by N=23⋅5x⋅7y, where x+y=5 and 1x+1y=56 (x>y). Then the number of even divisors of N (excluding N), is equal to

The coefficient of x in the equation ax2+bx+c=0 was wrongly taken as 17 instead of 13 & its roots were -2, -15. Actual roots are _____.