5411 + Interview Questions in Quantitative Aptitude

1.	The lateral surface area of a cylinder is equal to the curved surface area of a cone. If their bases be the same, find the ratio of the height of the cylinder to the slant height of the cone.
Answer» The lateral surface area of a cylinder is equal to the curved surface area of a cone. If their bases be the same, find the ratio of the height of the cylinder to the slant height of the cone.

Discussion

2.	The diagonal of a trapezium shaped field is 25m and the perpendiculars dropped on it from the remaining opposite vertices are 8m and 12m. Find the area of the field(in m2).
Answer» The diagonal of a trapezium shaped field is 25m and the perpendiculars dropped on it from the remaining opposite vertices are 8m and 12m. Find the area of the field(in m²).

Discussion

3.	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 school 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 rest 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 percentage of the surveyed kids in S, whose mothers had dropped out before completing primary education, were in G now?
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 school 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 rest 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 percentage of the surveyed kids in S, whose mothers had dropped out before completing primary education, were in G now?

Discussion

4.	In the figure given below, E is the mid-point of AB and F is the midpoint of AD. If the area of FAEC is 13, what is the area of ABCD?
Answer» In the figure given below, E is the mid-point of AB and F is the midpoint of AD. If the area of FAEC is 13, what is the area of ABCD?

Discussion

5.	A sum of Rs. 12000 is borrowed at 12% p.a. compounded annually which is paid back in 3 equal annual installments. What is the amount of each installment?
Answer» A sum of Rs. 12000 is borrowed at $12 %$ p.a. compounded annually which is paid back in 3 equal annual installments. What is the amount of each installment?

Discussion

6.	Add.(i) 613+213(ii) 114+312(iii) 515+217(iv) 315+213
Answer» Add. (i) $6 \frac{1}{3} + 2 \frac{1}{3}$ (ii) $1 \frac{1}{4} + 3 \frac{1}{2}$ (iii) $5 \frac{1}{5} + 2 \frac{1}{7}$ (iv) $3 \frac{1}{5} + 2 \frac{1}{3}$

Discussion

7.	The sum of inradius and circumradius of incircle and circumcircle of a regular polygon of n sides and each of length a is
Answer» The sum of inradius and circumradius of incircle and circumcircle of a regular polygon of $n$ sides and each of length $a$ is

Discussion

8.	A park has the shape of a regular hexagon of sides 2 m each. Ram walks a distance of 5 m around the perimeter. What is the direct distance between the start point and the end point?
Answer» A park has the shape of a regular hexagon of sides 2 m each. Ram walks a distance of 5 m around the perimeter. What is the direct distance between the start point and the end point?

Discussion

9.	How many multiples of 4 lie between 10 and 250?
Answer» How many multiples of 4 lie between 10 and 250?

Discussion

10.	Find the smallest 5 digit number that is divisible by 35. Answer must be in detail.
Answer» Find the smallest 5 digit number that is divisible by 35. Answer must be in detail.

Discussion

11.	What is the divisibility rule of 9?
Answer» What is the divisibility rule of 9?

Discussion

12.	15. The expression 2x+bx-cx+d. Leaves the same remainder when divided by x+1 or x-2 or 2x-1. . find b&c
Answer» 15. The expression 2x+bx-cx+d. Leaves the same remainder when divided by x+1 or x-2 or 2x-1. . find b&c

Discussion

13.	Rita scored 25% less than Nita. How much percent more did Nita score than Rita?
Answer» Rita scored 25% less than Nita. How much percent more did Nita score than Rita?

Discussion

14.	Can P be an odd number? I. When P is multiplied by an odd number then the product is an odd number. II. P is not divisible by 2
Answer» Can P be an odd number? I. When P is multiplied by an odd number then the product is an odd number. II. P is not divisible by 2

14.

Can P be an odd number? I. When P is multiplied by an odd number then the product is an odd number. II. P is not divisible by 2

Answer»

Can P be an odd number?

I. When P is multiplied by an odd number then the product is an odd number.

II. P is not divisible by 2

Discussion

15.	In a class of 20 students, if Mohan ranks 12th from the top, and Sohan 6th from the bottom, how many students are between them?
Answer» In a class of 20 students, if Mohan ranks 12th from the top, and Sohan 6th from the bottom, how many students are between them?

Discussion

16.	Mr. Patel walked 6 km to reach the station from his house, then he boarded a train whose average speed was 60 km/hr and thus he reached his destination. In this way, he took a total of 3 hours. If the average speed of the entire journey was 32 km/hr then the average speed of walking is:
Answer» Mr. Patel walked 6 km to reach the station from his house, then he boarded a train whose average speed was 60 km/hr and thus he reached his destination. In this way, he took a total of 3 hours. If the average speed of the entire journey was 32 km/hr then the average speed of walking is:

Discussion

17.	Question 11A TV tower stands vertically on a bank of a canal. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60∘. From another point 20 m away from this point on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is 30∘. Find the height of the tower and the width of the canal.
Answer» Question 11 A TV tower stands vertically on a bank of a canal. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is $60^{\circ}$ . From another point 20 m away from this point on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is $30^{\circ}$ . Find the height of the tower and the width of the canal.

Discussion

18.	The solution set of the in equationx2+6x–7\|x+4\|<0 is
Answer» The solution set of the in equation $\frac{x^{2} + 6 x - 7}{\| x + 4 \|} < 0$ is

Discussion

19.	If the distance between the foci and the distance between the directries of the hyperbola x2a2-y2b2=1 are in the ratio 3:2, then its eccentricity is __________________.
Answer» If the distance between the foci and the distance between the directries of the hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$ are in the ratio 3:2, then its eccentricity is __________________.

Discussion

20.	Prove that DE is parallel to BC
Answer» Prove that DE is parallel to BC

Discussion

21.	The two adjacent sides of a cyclic quadrilateral are 2 and 5. The angle between them is 60∘. If the area of the quadrilateral is 4√3, then the sum of other two sides is:
Answer» The two adjacent sides of a cyclic quadrilateral are $2$ and $5$ . The angle between them is $60^{\circ}$ . If the area of the quadrilateral is $4 \sqrt{3}$ , then the sum of other two sides is:

Discussion

22.	How many students out of the four mentioned students had 'S' at the canteen?
Answer» How many students out of the four mentioned students had 'S' at the canteen?

Discussion

23.	36% of the maximum marks is required to pass a test. Astudent gets 123 marks and is declared failed by 39 marks find the maximum marks.
Answer» 36% of the maximum marks is required to pass a test. Astudent gets 123 marks and is declared failed by 39 marks find the maximum marks.

Discussion

24.	If 5y–5(y−1)=100, then what is the value of (3y)y?
Answer» If $5^{y} - 5^{(y - 1)} = 100$ , then what is the value of $(3 y)^{y}$ ?

Discussion

25.	The total number of passengers in the general class coaches in both the trains together is approximately what percentage of the total number of passengers in Train B?
Answer» The total number of passengers in the general class coaches in both the trains together is approximately what percentage of the total number of passengers in Train B?

Discussion

26.	First basket has 0 balls
Answer» First basket has 0 balls

Discussion

27.	Find 2 zeros of p(x)=3x²+x-1
Answer» Find 2 zeros of p(x)=3x²+x-1

Discussion

28.	If the three lines ax+a2y+1=0, bx+b2y+1=0 and cx+c2y+1=0 are concurrent, show that atleast two of the three constants a,b,c are equal.
Answer» If the three lines $a x + a^{2} y + 1 = 0, b x + b^{2} y + 1 = 0$ and $c x + c^{2} y + 1 = 0$ are concurrent, show that atleast two of the three constants a,b,c are equal.

Discussion

29.	When a two digit number is rotated by 180∘ a different two digit number is obtained. What is the probability of such an occurrence?
Answer» When a two digit number is rotated by $180^{\circ}$ a different two digit number is obtained. What is the probability of such an occurrence?

Discussion

30.	There is a pyramid on a base which is a regular hexagon of side 2a. If every slant edge of this pyramid is of length (5a)2 then the volume of this pyramid must be:
Answer» There is a pyramid on a base which is a regular hexagon of side 2a. If every slant edge of this pyramid is of length $\frac{(5 a)}{2}$ then the volume of this pyramid must be:

Discussion

31.	If PQ is double ordinate of the parabola y^2 = 4ax then loucs of its point of trisection is
Answer» If PQ is double ordinate of the parabola y^2 = 4ax then loucs of its point of trisection is

Discussion

32.	If 3rd,7th,12th terms of an ap are 3 consecutive terms of a gp then common ratio is
Answer» If 3rd,7th,12th terms of an ap are 3 consecutive terms of a gp then common ratio is

Discussion

33.	Question 15A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30∘, which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60∘. Find the time taken by the car to reach the foot of the tower from this point.
Answer» Question 15 A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of $30^{\circ}$ , which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be $60^{\circ}$ . Find the time taken by the car to reach the foot of the tower from this point.

Discussion

34.	Q44. Dave purchased 150 bales of cotton at Rs. 70 per bale. He spent Rs. 500 on the transportation, paid octroi at the rate of 40 paisa per bale and paid Rs. 140 to the coolie. What must be the selling price per bale to have a gain of 20%? Q44. डेव ने कपास के 150 गाँठ को 70 रू प्रति गठरी के दाम पर खरीदा। उसने परिवहन पर 500 रू तथा प्रवेश द्वार पर 40 पैसे प्रति गाँठ के हिसाब से दिए 140 रू कुली को दिए। 20% का लाभ प्राप्त करने के लिए प्रति गाँठ का बिक्री मूल्य क्या होना चाहिए?
Answer» Q44. Dave purchased 150 bales of cotton at Rs. 70 per bale. He spent Rs. 500 on the transportation, paid octroi at the rate of 40 paisa per bale and paid Rs. 140 to the coolie. What must be the selling price per bale to have a gain of 20%? Q44. डेव ने कपास के 150 गाँठ को 70 रू प्रति गठरी के दाम पर खरीदा। उसने परिवहन पर 500 रू तथा प्रवेश द्वार पर 40 पैसे प्रति गाँठ के हिसाब से दिए 140 रू कुली को दिए। 20% का लाभ प्राप्त करने के लिए प्रति गाँठ का बिक्री मूल्य क्या होना चाहिए?

34.

Q44. Dave purchased 150 bales of cotton at Rs. 70 per bale. He spent Rs. 500 on the transportation, paid octroi at the rate of 40 paisa per bale and paid Rs. 140 to the coolie. What must be the selling price per bale to have a gain of 20%? Q44. डेव ने कपास के 150 गाँठ को 70 रू प्रति गठरी के दाम पर खरीदा। उसने परिवहन पर 500 रू तथा प्रवेश द्वार पर 40 पैसे प्रति गाँठ के हिसाब से दिए 140 रू कुली को दिए। 20% का लाभ प्राप्त करने के लिए प्रति गाँठ का बिक्री मूल्य क्या होना चाहिए?

Answer»

Q44. Dave purchased 150 bales of cotton at Rs. 70 per bale. He spent Rs. 500 on the transportation, paid octroi at the rate of 40 paisa per bale and paid Rs. 140 to the coolie. What must be the selling price per bale to have a gain of 20%?

Q44. डेव ने कपास के 150 गाँठ को 70 रू प्रति गठरी के दाम पर खरीदा। उसने परिवहन पर 500 रू तथा प्रवेश द्वार पर 40 पैसे प्रति गाँठ के हिसाब से दिए 140 रू कुली को दिए। 20% का लाभ प्राप्त करने के लिए प्रति गाँठ का बिक्री मूल्य क्या होना चाहिए?

Discussion

35.	Today the age of Sam is five times the age of Sally. After 21 years, Sam will be twice as old as Sally. Find their present ages.
Answer» Today the age of Sam is five times the age of Sally. After 21 years, Sam will be twice as old as Sally. Find their present ages.

Discussion

36.	If C and D invest some money in the ratio 7 : 6 for the same time and after one year the difference in the profit obtained by C and D is Rs.100, find the profit of A?
Answer» If C and D invest some money in the ratio 7 : 6 for the same time and after one year the difference in the profit obtained by C and D is Rs.100, find the profit of A?

Discussion

37.	There are three containers of equal capacity and all are completely filled with mixtures of acid & water in different ratios. The ratio of acid to water in the first container is 2:3, in the second container the ratio is 3:7 and in the third container it is 4:11. If the mixture of all three containers are mixed together, find the ratio of acid to water.
Answer» There are three containers of equal capacity and all are completely filled with mixtures of acid & water in different ratios. The ratio of acid to water in the first container is 2:3, in the second container the ratio is 3:7 and in the third container it is 4:11. If the mixture of all three containers are mixed together, find the ratio of acid to water.

Discussion

38.	Total amount earned by person A in the year 2006 and person C in the year 2010 together was approximately what percent of the amount earned by person E in the year 2009?
Answer» Total amount earned by person A in the year 2006 and person C in the year 2010 together was approximately what percent of the amount earned by person E in the year 2009?

Discussion

39.	Question 42(i)At a fete, cards bearing numbers 1 to 1000, one number on one card, are put in a box. Each player selects one card at random and that card is not replaced. If the selected card has a perfect square greater than 500, the player wins a prize. What is the probability that the first player wins a prize?
Answer» Question 42(i) At a fete, cards bearing numbers 1 to 1000, one number on one card, are put in a box. Each player selects one card at random and that card is not replaced. If the selected card has a perfect square greater than 500, the player wins a prize. What is the probability that the first player wins a prize?

Discussion

40.	Do we have to do exponential function before doing logarithms
Answer» Do we have to do exponential function before doing logarithms

Discussion

41.	In terms of percentage profit, which among following the best transaction?
Answer» In terms of percentage profit, which among following the best transaction?

Discussion

42.	A balloon, which always remains spherical on inflation, is being inflated by pumping in 900 cubic centimetres of gas per second. Find the rate at which the radius of the balloon increases when the radius is 15 cm.
Answer» A balloon, which always remains spherical on inflation, is being inflated by pumping in $900$ cubic centimetres of gas per second. Find the rate at which the radius of the balloon increases when the radius is $15 cm$ .

Discussion

43.	which of the following vector is perpendicular to the vector a= 2i+3j+4k ?a) i+j+k b) 4i+3j-2k c) i-3j+k d) i+2j-2k
Answer» which of the following vector is perpendicular to the vector a= 2i+3j+4k ? a) i+j+k b) 4i+3j-2k c) i-3j+k d) i+2j-2k

Discussion

44.	There are three events A,B and C one of which must, and only one can happen, the odds are 8 to 3 against A,5 to 2 against B. If the odds against C is pq, then the value of p−q is
Answer» There are three events $A, B$ and $C$ one of which must, and only one can happen, the odds are $8$ to $3$ against $A, 5$ to $2$ against $B .$ If the odds against $C$ is $\frac{p}{q},$ then the value of $p - q$ is

Discussion

45.	How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala route, by the police department?___
Answer» How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala route, by the police department?___

Discussion

46.	Is 5k−5 a multiple of4??
Answer» Is $5^{k - 5}$ a multiple of4??

Discussion

47.	The Z= 0 plane is
Answer» The Z= 0 plane is

Discussion

48.	Which of the following is the smallest number which when divided by 55,23 and 39 leaves a remainder of 8 ?
Answer» Which of the following is the smallest number which when divided by 55,23 and 39 leaves a remainder of 8 ?

Discussion

49.	Let the centroid of an equilateral triangle ABC be at the origin. Let one of the sides of the equilateral triangle be along the straight line x+y=3. If R and r be the radius of circumcircle and incircle respectively of △ABC, then (R+r) is equal to
Answer» Let the centroid of an equilateral triangle $A B C$ be at the origin. Let one of the sides of the equilateral triangle be along the straight line $x + y = 3$ . If $R$ and $r$ be the radius of circumcircle and incircle respectively of $△ A B C$ , then $(R + r)$ is equal to

Discussion

50.	The sum and product of three consecutive terms of an A.P. is 18 and 36 respectively. The common difference of the A.P. is
Answer» The sum and product of three consecutive terms of an A.P. is 18 and 36 respectively. The common difference of the A.P. is

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The lateral surface area of a cylinder is equal to the curved surface area of a cone. If their bases be the same, find the ratio of the height of the cylinder to the slant height of the cone.

The diagonal of a trapezium shaped field is 25m and the perpendiculars dropped on it from the remaining opposite vertices are 8m and 12m. Find the area of the field(in m2).

In the figure given below, E is the mid-point of AB and F is the midpoint of AD. If the area of FAEC is 13, what is the area of ABCD?

A sum of Rs. 12000 is borrowed at 12% p.a. compounded annually which is paid back in 3 equal annual installments. What is the amount of each installment?

Add.(i) 613+213(ii) 114+312(iii) 515+217(iv) 315+213

The sum of inradius and circumradius of incircle and circumcircle of a regular polygon of n sides and each of length a is

A park has the shape of a regular hexagon of sides 2 m each. Ram walks a distance of 5 m around the perimeter. What is the direct distance between the start point and the end point?

How many multiples of 4 lie between 10 and 250?

Find the smallest 5 digit number that is divisible by 35. Answer must be in detail.

What is the divisibility rule of 9?

15. The expression 2x+bx-cx+d. Leaves the same remainder when divided by x+1 or x-2 or 2x-1. . find b&c

Rita scored 25% less than Nita. How much percent more did Nita score than Rita?

Can P be an odd number? I. When P is multiplied by an odd number then the product is an odd number. II. P is not divisible by 2

In a class of 20 students, if Mohan ranks 12th from the top, and Sohan 6th from the bottom, how many students are between them?

Mr. Patel walked 6 km to reach the station from his house, then he boarded a train whose average speed was 60 km/hr and thus he reached his destination. In this way, he took a total of 3 hours. If the average speed of the entire journey was 32 km/hr then the average speed of walking is:

The solution set of the in equationx2+6x–7|x+4|&lt;0 is

If the distance between the foci and the distance between the directries of the hyperbola x2a2-y2b2=1 are in the ratio 3:2, then its eccentricity is __________________.

Prove that DE is parallel to BC

The two adjacent sides of a cyclic quadrilateral are 2 and 5. The angle between them is 60∘. If the area of the quadrilateral is 4√3, then the sum of other two sides is:

How many students out of the four mentioned students had 'S' at the canteen?

36% of the maximum marks is required to pass a test. Astudent gets 123 marks and is declared failed by 39 marks find the maximum marks.

If 5y–5(y−1)=100, then what is the value of (3y)y?

The total number of passengers in the general class coaches in both the trains together is approximately what percentage of the total number of passengers in Train B?

First basket has 0 balls

Find 2 zeros of p(x)=3x²+x-1

If the three lines ax+a2y+1=0, bx+b2y+1=0 and cx+c2y+1=0 are concurrent, show that atleast two of the three constants a,b,c are equal.

When a two digit number is rotated by 180∘ a different two digit number is obtained. What is the probability of such an occurrence?

There is a pyramid on a base which is a regular hexagon of side 2a. If every slant edge of this pyramid is of length (5a)2 then the volume of this pyramid must be:

If PQ is double ordinate of the parabola y^2 = 4ax then loucs of its point of trisection is

If 3rd,7th,12th terms of an ap are 3 consecutive terms of a gp then common ratio is

Today the age of Sam is five times the age of Sally. After 21 years, Sam will be twice as old as Sally. Find their present ages.

If C and D invest some money in the ratio 7 : 6 for the same time and after one year the difference in the profit obtained by C and D is Rs.100, find the profit of A?

Total amount earned by person A in the year 2006 and person C in the year 2010 together was approximately what percent of the amount earned by person E in the year 2009?

Do we have to do exponential function before doing logarithms

In terms of percentage profit, which among following the best transaction?

A balloon, which always remains spherical on inflation, is being inflated by pumping in 900 cubic centimetres of gas per second. Find the rate at which the radius of the balloon increases when the radius is 15 cm.

which of the following vector is perpendicular to the vector a= 2i+3j+4k ?a) i+j+k b) 4i+3j-2k c) i-3j+k d) i+2j-2k

There are three events A,B and C one of which must, and only one can happen, the odds are 8 to 3 against A,5 to 2 against B. If the odds against C is pq, then the value of p−q is

How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala route, by the police department?___

Is 5k−5 a multiple of4??

The Z= 0 plane is

Which of the following is the smallest number which when divided by 55,23 and 39 leaves a remainder of 8 ?

Let the centroid of an equilateral triangle ABC be at the origin. Let one of the sides of the equilateral triangle be along the straight line x+y=3. If R and r be the radius of circumcircle and incircle respectively of △ABC, then (R+r) is equal to

The sum and product of three consecutive terms of an A.P. is 18 and 36 respectively. The common difference of the A.P. is

The solution set of the in equationx2+6x–7|x+4|<0 is