5411 + Interview Questions in Quantitative Aptitude Page 43 InterviewSolution

2101.	In a race of 2000 m, Ram can beat Laxman by 200 m, in a race of 1600 m, Laxman can beat Bharat by 200 m. By how many meters will Ram beat Bharat in a race of 1200 m?
Answer» In a race of 2000 m, Ram can beat Laxman by 200 m, in a race of 1600 m, Laxman can beat Bharat by 200 m. By how many meters will Ram beat Bharat in a race of 1200 m?

Discussion

2102.	If a, b and c are the sides of a right angled triangle where c is the hypotenuse, then prove that the radius r of the circle which touches the sides of triangle is given by r=a+b−c2
Answer» If a, b and c are the sides of a right angled triangle where c is the hypotenuse, then prove that the radius r of the circle which touches the sides of triangle is given by $r = \frac{a + b - c}{2}$

Discussion

2103.	If lnxb−c=lnyc−a=lnza−b, xyz is equal to ?
Answer» If $\frac{l n x}{b - c} = \frac{l n y}{c - a} = \frac{l n z}{a - b}$ , xyz is equal to ?

Discussion

2104.	Question 2Justify whether it is true to say that−1,−32,−2,52, ⋯ forms an AP as a2−a1=a3−a2.
Answer» Question 2 Justify whether it is true to say that $- 1, \frac{- 3}{2}, - 2, \frac{5}{2}, \dots$ forms an AP as $a_{2} - a_{1} = a_{3} - a_{2}$ .

Discussion

2105.	After the oldest member of a club was replaced by a new member, it was found that the average age of seven members of the club is the same as it was 3 years ago. What is the difference between the ages of the oldest and the new member?
Answer» After the oldest member of a club was replaced by a new member, it was found that the average age of seven members of the club is the same as it was 3 years ago. What is the difference between the ages of the oldest and the new member?

Discussion

2106.	A tank is filled with water and oil in the proportion 5 : 3. When 16 gallons of the mixture are drawn off and the tank filled with 16 gallons of oil, the proportion becomes 3 : 5. How many gallons does the tank contain?
Answer» A tank is filled with water and oil in the proportion 5 : 3. When 16 gallons of the mixture are drawn off and the tank filled with 16 gallons of oil, the proportion becomes 3 : 5. How many gallons does the tank contain?

Discussion

2107.	The sixth term of an A.P is equal to 2. The value of common difference of an A.P which makes the product a1a4a5 least is given by
Answer» The sixth term of an A.P is equal to 2. The value of common difference of an A.P which makes the product a1a4a5 least is given by

Discussion

2108.	If three positive real numbers a, b, c are in A.P. and abc = 4, then the minimum possible value of b is_________.
Answer» If three positive real numbers a, b, c are in A.P. and abc = 4, then the minimum possible value of b is_________.

Discussion

2109.	Find the probability of having 53 Mondays in a leap year
Answer» Find the probability of having 53 Mondays in a leap year

Discussion

2110.	The number of terms in the progression 1, 2, 4, 8,......such that sum gives 513 is
Answer» The number of terms in the progression 1, 2, 4, 8,......such that sum gives 513 is

Discussion

2111.	In the given figure, from a cuboidal solid metalic block, of dimensions 15 cm ⨯ 10 cm ⨯ 5 cm, a cylindrical hole of diameter 7 cm is drilled out. Find the surface area of the remaining block. (Take π=227). [CBSE 2015]
Answer» In the given figure, from a cuboidal solid metalic block, of dimensions 15 cm ⨯ 10 cm ⨯ 5 cm, a cylindrical hole of diameter 7 cm is drilled out. Find the surface area of the remaining block. (Take $π = \frac{22}{7}$ ). [CBSE 2015]

Discussion

2112.	show that n^3 + n is divisble by 8 if n is an odd positive integer.
Answer» show that n^3 + n is divisble by 8 if n is an odd positive integer.

Discussion

2113.	ABCD is a square with length 15cm. Pattern of shading one quarter of the square is shown in the diagram. If this pattern is continued indefinitely, what is the area of shaded region?
Answer» ABCD is a square with length 15cm. Pattern of shading one quarter of the square is shown in the diagram. If this pattern is continued indefinitely, what is the area of shaded region?

2113.

ABCD is a square with length 15cm. Pattern of shading one quarter of the square is shown in the diagram. If this pattern is continued indefinitely, what is the area of shaded region?

Answer»

ABCD is a square with length 15cm. Pattern of shading one quarter of the square is shown in the diagram. If this pattern is continued indefinitely, what is the area of shaded region?

Discussion

2114.	Total number of 4 digit integers with digit sum 4 is
Answer» Total number of 4 digit integers with digit sum 4 is

Discussion

2115.	A trader has a basket of eggs . If counted the eggs in pair one will remain ; If counted in 3 , two will remain ; If counted in 4 , 3 will remain ;If counted in 5, 4 will remain; If counted in 6, 5 will remain ; If counted in 7 , nothing will remain , and the basket cannot accommodate more than 150 eggs . So, how many eggs were there?
Answer» A trader has a basket of eggs . If counted the eggs in pair one will remain ; If counted in 3 , two will remain ; If counted in 4 , 3 will remain ;If counted in 5, 4 will remain; If counted in 6, 5 will remain ; If counted in 7 , nothing will remain , and the basket cannot accommodate more than 150 eggs . So, how many eggs were there?

Discussion

2116.	An alloy contains copper and zinc in the ratio 5:3 and another alloy contains copper and tin in the ratio 8:5. If equal weights of both alloys are melted together, then the weight of tin in the resulting alloy per kg will be
Answer» An alloy contains copper and zinc in the ratio 5:3 and another alloy contains copper and tin in the ratio 8:5. If equal weights of both alloys are melted together, then the weight of tin in the resulting alloy per kg will be

Discussion

2117.	Find the smallest number divided by 28 and32 leaving remainder 8 and 12 respectively in each case
Answer» Find the smallest number divided by 28 and32 leaving remainder 8 and 12 respectively in each case

Discussion

2118.	The sum of the series 12−22+32−42+52−62+...−1002?
Answer» The sum of the series $1^{2} - 2^{2} + 3^{2} - 4^{2} + 5^{2} - 6^{2} + . . . - 100^{2} ?$

Discussion

2119.	In the diagram below, how many distinct paths are there from the start to the finish, moving from one adjacent dot to the next either to the right, down, or diagonally down to the right?
Answer» In the diagram below, how many distinct paths are there from the start to the finish, moving from one adjacent dot to the next either to the right, down, or diagonally down to the right?

2119.

In the diagram below, how many distinct paths are there from the start to the finish, moving from one adjacent dot to the next either to the right, down, or diagonally down to the right?

Answer»

In the diagram below, how many distinct paths are there from the start to the finish, moving from one adjacent dot to the next either to the right, down, or diagonally down to the right?

Discussion

2120.	Question 8 (i)Fig. 12.26 depicts a racing track whose left and right ends are semi-circular.The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find:(i) The distance around the track along its inner edge
Answer» Question 8 (i) Fig. 12.26 depicts a racing track whose left and right ends are semi-circular. The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find: (i) The distance around the track along its inner edge

Discussion

2121.	If the both the radius and height of a right circular cone are increased by 20%, its volume will be increased by:
Answer» If the both the radius and height of a right circular cone are increased by 20%, its volume will be increased by:

Discussion

2122.	In the given figure, AD is a median of a triangle ABC and AM ⊥ BC. Prove that:(i) (ii) (iii)
Answer» In the given figure, AD is a median of a triangle ABC and AM ⊥ BC. Prove that: (i) (ii) (iii)

2122.

In the given figure, AD is a median of a triangle ABC and AM ⊥ BC. Prove that:(i) (ii) (iii)

Answer»

In the given figure, AD is a median of a triangle ABC and AM ⊥ BC. Prove that:

(i)

(ii)

(iii)

Discussion

2123.	If √3−1√3+1=a+b√3, then calculate the values of ′a′ and ′b′.
Answer» If $\frac{\sqrt{3} - 1}{\sqrt{3} + 1} = a + b \sqrt{3}$ , then calculate the values of $^{'} a^{'}$ and $^{'} b^{'}$ .

Discussion

2124.	Maximum number of tangents drawn from the external point to the circle is _____.___
Answer» Maximum number of tangents drawn from the external point to the circle is _____. ___

Discussion

2125.	A beaker filled with water has a weight of 16 kg when it is full and a weight of 13 kg when it is one-fourth full. Find the weight of the empty beaker.
Answer» A beaker filled with water has a weight of 16 kg when it is full and a weight of 13 kg when it is one-fourth full. Find the weight of the empty beaker.

Discussion

2126.	Which of the following CANNOT be the total credit points earned by any employee from the projects?
Answer» Which of the following CANNOT be the total credit points earned by any employee from the projects?

Discussion

2127.	How many steps will be required to get the final output from the following input? Input: which do yet go out of win
Answer» How many steps will be required to get the final output from the following input? Input: which do yet go out of win

2127.

How many steps will be required to get the final output from the following input? Input: which do yet go out of win

Answer»

How many steps will be required to get the final output from the following input?

Input: which do yet go out of win

Discussion

2128.	In the adjoining figure O is the centre of the circle with radius 'r' AB, CD and EF are the diameters of the circle. ∠OAF=∠OCB=60∘. What is the area of the shaded region?
Answer» In the adjoining figure O is the centre of the circle with radius 'r' AB, CD and EF are the diameters of the circle. $∠ O A F = ∠ O C B = 60^{\circ}$ . What is the area of the shaded region?

Discussion

2129.	In the triangle ABC, MN is parallel to AB. Area of trapezium ABNM is twice the area of triangle CMN. What is ratio of CM : AM ?
Answer» In the triangle ABC, MN is parallel to AB. Area of trapezium ABNM is twice the area of triangle CMN. What is ratio of CM : AM ?

Discussion

2130.	Manish, Rahul and Bharti have some stones with each of them. Five times the number of stones with Rahul equals seven times the number of stones with Manish while five times the number of stones with Manish equals seven times the number of stones with Bharti. What is the minimum number of stones that can be there with all three of them put together?
Answer» Manish, Rahul and Bharti have some stones with each of them. Five times the number of stones with Rahul equals seven times the number of stones with Manish while five times the number of stones with Manish equals seven times the number of stones with Bharti. What is the minimum number of stones that can be there with all three of them put together?

Discussion

2131.	Roots of x2 − 11x + 28 = 0 are a and b. Then \|a − b\| = ______________.___
Answer» $R o o t s o f x^{2} - 11 x + 28 = 0 a r e a a n d b . T h e n \| a - b \| =$ ______________. ___

Discussion

2132.	Let n be a non-negative integer. Then the number of divisors of the form 4n+1 of the number (10)10⋅(11)11⋅(13)13 is equal to
Answer» Let $n$ be a non-negative integer. Then the number of divisors of the form $4 n + 1$ of the number $(10)^{10} \cdot (11)^{11} \cdot (13)^{13}$ is equal to

Discussion

2133.	How much alcohol must be added to 400 ml of a 15% solution to make its strength 32%?
Answer» How much alcohol must be added to $400 m l$ of a $15 %$ solution to make its strength $32 %$ ?

Discussion

2134.

The following tables shows the number of male and female workers, under employment gurantee scheme, in villages A, B, C and D. Village A B C D No. of females 150 240 90 140 No. of males 225 160 210 110 (1) Show the information by a sub-divided bar-diagram.(2) Show the information by a percentage bar diagram.

Answer» The following tables shows the number of male and female workers, under employment gurantee scheme, in villages A, B, C and D.

Village	A	B	C	D
No. of females	150	240	90	140
No. of males	225	160	210	110

(1) Show the information by a sub-divided bar-diagram.

(2) Show the information by a percentage bar diagram.

Discussion

2135.	Q11. Rajan walks 20m south from his house, turns left and walks 25m. Again turns left and walks 50m, then turns right and walks 5m to reach his school. In which direction is the school from his house?
Answer» Q11. Rajan walks 20m south from his house, turns left and walks 25m. Again turns left and walks 50m, then turns right and walks 5m to reach his school. In which direction is the school from his house?

Discussion

2136.	Would Charley ever go back to the ticket-counter on the third level to buy tickets to Galesburg for himself and his wife?
Answer» Would Charley ever go back to the ticket-counter on the third level to buy tickets to Galesburg for himself and his wife?

Discussion

2137.	A cat is 25 leaps away from a dog. The dog notices the cat and starts in hot pursuits. The dog makes 5 leaps and cat makes 6 leaps per minutes and one leap of the dog is equal to 2 leaps of the cat. The time in which the dog catches the cat is:
Answer» A cat is 25 leaps away from a dog. The dog notices the cat and starts in hot pursuits. The dog makes 5 leaps and cat makes 6 leaps per minutes and one leap of the dog is equal to 2 leaps of the cat. The time in which the dog catches the cat is:

Discussion

2138.	In the given figure, a cylindrical wrapper of flat tablets is shown. The radius of a tablet is 7 mm and its thickness is 5 mm. How many such tablets are wrapped in the wrapper?
Answer» In the given figure, a cylindrical wrapper of flat tablets is shown. The radius of a tablet is 7 mm and its thickness is 5 mm. How many such tablets are wrapped in the wrapper?

Discussion

2139.	A small boy is throwing a ball towards a wall 6 min front of him. He releases the ball at a height of1.4 m from the ground. The ball bounces from the wall at a height of 3m, rebounds from the ground and reaches the boy's hand exactly at the point ofrelease. Assuming the two bounces (one from the wall and the other from the ground) to be perfectly elastic, how far ahead of the boy did the ball bounce from ground ?(A) 1.5 m(C) 3.5 m(B) 2.5 m(D) 4.5 m
Answer» A small boy is throwing a ball towards a wall 6 min front of him. He releases the ball at a height of1.4 m from the ground. The ball bounces from the wall at a height of 3m, rebounds from the ground and reaches the boy's hand exactly at the point ofrelease. Assuming the two bounces (one from the wall and the other from the ground) to be perfectly elastic, how far ahead of the boy did the ball bounce from ground ?(A) 1.5 m(C) 3.5 m(B) 2.5 m(D) 4.5 m

Discussion

2140.	The probability of getting an even number, when a die is thrown once is :
Answer» The probability of getting an even number, when a die is thrown once is :

Discussion

2141.	Read the following information carefully and answer these questions At a party, A, B, C, D, and E are sitting in a circle. The group comprises a professor, an industrialist, and a businessman. The businessman is sitting in between the industrialist and his wife D. A the professor is married to E, who is the sister of B. The industrialist is seated to the right of C. Both the ladies are unemployed Q14. Who among them must be a graduate?
Answer» Read the following information carefully and answer these questions At a party, A, B, C, D, and E are sitting in a circle. The group comprises a professor, an industrialist, and a businessman. The businessman is sitting in between the industrialist and his wife D. A the professor is married to E, who is the sister of B. The industrialist is seated to the right of C. Both the ladies are unemployed Q14. Who among them must be a graduate?

2141.

Read the following information carefully and answer these questions At a party, A, B, C, D, and E are sitting in a circle. The group comprises a professor, an industrialist, and a businessman. The businessman is sitting in between the industrialist and his wife D. A the professor is married to E, who is the sister of B. The industrialist is seated to the right of C. Both the ladies are unemployed Q14. Who among them must be a graduate?

Answer»

Read the following information carefully and answer these questions

At a party, A, B, C, D, and E are sitting in a circle. The group comprises a professor, an industrialist, and a businessman. The businessman is sitting in between the industrialist and his wife D. A the professor is married to E, who is the sister of B. The industrialist is seated to the right of C. Both the ladies are unemployed

Q14. Who among them must be a graduate?

Discussion

2142.	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

2143.	In an entrance test there are multiple choice questions. There are four possible answers to each questions, of which one is correct. The probability that a student knows the answer to a question is 9/10. If he gets the correct answer to a question, then the probability that he was guessing is
Answer» In an entrance test there are multiple choice questions. There are four possible answers to each questions, of which one is correct. The probability that a student knows the answer to a question is 9/10. If he gets the correct answer to a question, then the probability that he was guessing is

Discussion

2144.	On a certain sum, the difference between the compound interest and the simple interest for the second year is Rs.4500 and the same for the third year is Rs.14175. What is the sum?
Answer» On a certain sum, the difference between the compound interest and the simple interest for the second year is Rs.4500 and the same for the third year is Rs.14175. What is the sum?

Discussion

2145.	Which term of the sequence 20,1914,1812,1734,… is the first negative term?
Answer» Which term of the sequence $20, 19 \frac{1}{4}, 18 \frac{1}{2}, 17 \frac{3}{4}, \dots$ is the first negative term?

Discussion

2146.	For which of the following processes Δ H will be positive? Options: F(g) + e– → F–(g) O–(g) + e– → O2–(g) Cl(g) + e– → Cl–(g) O(g) + e– → O–(g)
Answer» For which of the following processes Δ H will be positive? Options: F(g) + e– → F–(g) O–(g) + e– → O2–(g) Cl(g) + e– → Cl–(g) O(g) + e– → O–(g)

Discussion

2147.	Three men (Tom, Peter and Jack) and three women (Eliza, Anne and Karen) are spending a few months at a hillside. They are to stay in a row of nine cottages, each one living in his or her own cottage. There are no others staying in the same row of houses. 1. Anne, Tom and Jack do not want to stay in any cottage, which is at the end of the row. 2. Eliza and Anne are unwilling to stay besides any occupied cottage. 3. Karen is next to Peter and Jack. 4. Between Anne and Jack’s cottage there is just one vacant house. 5. None of the girls occupy adjacent cottages. 6. The house occupied by Tom is next to an end cottage. Q. How many of them occupy cottages next to a vacant cottage?
Answer» Three men (Tom, Peter and Jack) and three women (Eliza, Anne and Karen) are spending a few months at a hillside. They are to stay in a row of nine cottages, each one living in his or her own cottage. There are no others staying in the same row of houses. 1. Anne, Tom and Jack do not want to stay in any cottage, which is at the end of the row. 2. Eliza and Anne are unwilling to stay besides any occupied cottage. 3. Karen is next to Peter and Jack. 4. Between Anne and Jack’s cottage there is just one vacant house. 5. None of the girls occupy adjacent cottages. 6. The house occupied by Tom is next to an end cottage. Q. How many of them occupy cottages next to a vacant cottage?

Discussion

2148.	Question 14How many multiples of 4 lie between 10 and 250?
Answer» Question 14 How many multiples of 4 lie between 10 and 250?

Discussion

2149.	A two digit number is such that the product of its digits is 12. When 9 is added to the number, the digits interchange their places. The number is ___.
Answer» A two digit number is such that the product of its digits is 12. When 9 is added to the number, the digits interchange their places. The number is ___.

Discussion

2150.	Find the value of p for which the points (-1,3) , (2,p) and (5,-1) are collinear.
Answer» Find the value of p for which the points (-1,3) , (2,p) and (5,-1) are collinear.

Discussion

Explore topic-wise InterviewSolutions in .

In a race of 2000 m, Ram can beat Laxman by 200 m, in a race of 1600 m, Laxman can beat Bharat by 200 m. By how many meters will Ram beat Bharat in a race of 1200 m?

If a, b and c are the sides of a right angled triangle where c is the hypotenuse, then prove that the radius r of the circle which touches the sides of triangle is given by r=a+b−c2

If lnxb−c=lnyc−a=lnza−b, xyz is equal to ?

Question 2Justify whether it is true to say that−1,−32,−2,52, ⋯ forms an AP as a2−a1=a3−a2.

After the oldest member of a club was replaced by a new member, it was found that the average age of seven members of the club is the same as it was 3 years ago. What is the difference between the ages of the oldest and the new member?

A tank is filled with water and oil in the proportion 5 : 3. When 16 gallons of the mixture are drawn off and the tank filled with 16 gallons of oil, the proportion becomes 3 : 5. How many gallons does the tank contain?

The sixth term of an A.P is equal to 2. The value of common difference of an A.P which makes the product a1a4a5 least is given by

If three positive real numbers a, b, c are in A.P. and abc = 4, then the minimum possible value of b is_________.

Find the probability of having 53 Mondays in a leap year

The number of terms in the progression 1, 2, 4, 8,......such that sum gives 513 is

In the given figure, from a cuboidal solid metalic block, of dimensions 15 cm ⨯ 10 cm ⨯ 5 cm, a cylindrical hole of diameter 7 cm is drilled out. Find the surface area of the remaining block. (Take π=227). [CBSE 2015]

show that n^3 + n is divisble by 8 if n is an odd positive integer.

ABCD is a square with length 15cm. Pattern of shading one quarter of the square is shown in the diagram. If this pattern is continued indefinitely, what is the area of shaded region?

Total number of 4 digit integers with digit sum 4 is

An alloy contains copper and zinc in the ratio 5:3 and another alloy contains copper and tin in the ratio 8:5. If equal weights of both alloys are melted together, then the weight of tin in the resulting alloy per kg will be

Find the smallest number divided by 28 and32 leaving remainder 8 and 12 respectively in each case

The sum of the series 12−22+32−42+52−62+...−1002?

In the diagram below, how many distinct paths are there from the start to the finish, moving from one adjacent dot to the next either to the right, down, or diagonally down to the right?

Question 8 (i)Fig. 12.26 depicts a racing track whose left and right ends are semi-circular.The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find:(i) The distance around the track along its inner edge

If the both the radius and height of a right circular cone are increased by 20%, its volume will be increased by:

In the given figure, AD is a median of a triangle ABC and AM ⊥ BC. Prove that:(i) (ii) (iii)

If √3−1√3+1=a+b√3, then calculate the values of ′a′ and ′b′.

Maximum number of tangents drawn from the external point to the circle is _____.___

A beaker filled with water has a weight of 16 kg when it is full and a weight of 13 kg when it is one-fourth full. Find the weight of the empty beaker.

Which of the following CANNOT be the total credit points earned by any employee from the projects?

How many steps will be required to get the final output from the following input? Input: which do yet go out of win

In the adjoining figure O is the centre of the circle with radius 'r' AB, CD and EF are the diameters of the circle. ∠OAF=∠OCB=60∘. What is the area of the shaded region?

In the triangle ABC, MN is parallel to AB. Area of trapezium ABNM is twice the area of triangle CMN. What is ratio of CM : AM ?

Roots of x2 − 11x + 28 = 0 are a and b. Then |a − b| = ______________.___

Let n be a non-negative integer. Then the number of divisors of the form 4n+1 of the number (10)10⋅(11)11⋅(13)13 is equal to

How much alcohol must be added to 400 ml of a 15% solution to make its strength 32%?

Q11. Rajan walks 20m south from his house, turns left and walks 25m. Again turns left and walks 50m, then turns right and walks 5m to reach his school. In which direction is the school from his house?

Would Charley ever go back to the ticket-counter on the third level to buy tickets to Galesburg for himself and his wife?

A cat is 25 leaps away from a dog. The dog notices the cat and starts in hot pursuits. The dog makes 5 leaps and cat makes 6 leaps per minutes and one leap of the dog is equal to 2 leaps of the cat. The time in which the dog catches the cat is:

In the given figure, a cylindrical wrapper of flat tablets is shown. The radius of a tablet is 7 mm and its thickness is 5 mm. How many such tablets are wrapped in the wrapper?

The probability of getting an even number, when a die is thrown once is :

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

In an entrance test there are multiple choice questions. There are four possible answers to each questions, of which one is correct. The probability that a student knows the answer to a question is 9/10. If he gets the correct answer to a question, then the probability that he was guessing is

On a certain sum, the difference between the compound interest and the simple interest for the second year is Rs.4500 and the same for the third year is Rs.14175. What is the sum?

Which term of the sequence 20,1914,1812,1734,… is the first negative term?

For which of the following processes Δ H will be positive? Options: F(g) + e– → F–(g) O–(g) + e– → O2–(g) Cl(g) + e– → Cl–(g) O(g) + e– → O–(g)

Question 14How many multiples of 4 lie between 10 and 250?

A two digit number is such that the product of its digits is 12. When 9 is added to the number, the digits interchange their places. The number is ___.

Find the value of p for which the points (-1,3) , (2,p) and (5,-1) are collinear.

Maximum number of tangents drawn from the external point to the circle is ___._

Roots of x2 − 11x + 28 = 0 are a and b. Then |a − b| = ____________._