5411 + Interview Questions in Quantitative Aptitude Page 97 InterviewSolution

4801.	Two dices are thrown. The probability that the sum of the numbers coming up on them is 9, if it is known that the number 5 always occurs on the first die, is
Answer» Two dices are thrown. The probability that the sum of the numbers coming up on them is 9, if it is known that the number 5 always occurs on the first die, is

Discussion

4802.	How is Y related to Z ? Statement I. Z says, "I have only one brother". Statement II. Y says, "I have only one sister".
Answer» How is Y related to Z ? Statement I. Z says, "I have only one brother". Statement II. Y says, "I have only one sister".

4802.

How is Y related to Z ? Statement I. Z says, "I have only one brother". Statement II. Y says, "I have only one sister".

Answer»

How is Y related to Z ?

Statement I. Z says, "I have only one brother".

Statement II. Y says, "I have only one sister".

Discussion

4803.	Five students participitated in a competition. Sohan's position was below Suresh's position . Vijay's position was above Deepak's position. Kunal was between Sohan and Vijay. Who secured first position in the competition?
Answer» Five students participitated in a competition. Sohan's position was below Suresh's position . Vijay's position was above Deepak's position. Kunal was between Sohan and Vijay. Who secured first position in the competition?

Discussion

4804.	There is a circle of radius 10 units which circumscribes an equilateral triangle. A quadrilateral is drawn by joining mid points of two adjacent sides of the triangle. Find the area of the quadrilateral.
Answer» There is a circle of radius 10 units which circumscribes an equilateral triangle. A quadrilateral is drawn by joining mid points of two adjacent sides of the triangle. Find the area of the quadrilateral.

Discussion

4805.	There are twice the number of two-wheelers as there are three-wheelers and the number of 4 wheelers are equal to the number of two-wheelers. The average number of wheel per vehicle is:
Answer» There are twice the number of two-wheelers as there are three-wheelers and the number of 4 wheelers are equal to the number of two-wheelers. The average number of wheel per vehicle is:

Discussion

4806.	All the required pairs cannot be determined if it is known that BLUE kept in a box together with
Answer» All the required pairs cannot be determined if it is known that BLUE kept in a box together with

Discussion

4807.	Question 164(i) If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.
Answer» Question 164(i) If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use $(\times 1)$ machines.

4807.

Question 164(i) If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.

Answer»

Question 164(i)

If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use
$(\times 1)$ machines.

Discussion

4808.	Solve: m−(m−1)2=1−(m−2)3.
Answer» Solve: $m - \frac{(m - 1)}{2} = 1 - \frac{(m - 2)}{3}$ .

Discussion

4809.	Let α and β be the roots of the quadratic equation x2+mx−1=0, where m is an odd integer. Let λn=αn+βn, for n≥0. Prove that for n≥0. (a) λn is an integer; and (b) GCD(λn,λn+1)=1
Answer» Let $α a n d β$ be the roots of the quadratic equation $x^{2} + m x - 1 = 0$ , where m is an odd integer. Let $λ_{n} = α^{n} + β^{n}$ , for $n \geq 0$ . Prove that for $n \geq 0$ . (a) $λ_{n}$ is an integer; and (b) $G C D (λ_{n}, λ_{n + 1}) = 1$

Discussion

4810.	ABCD is a trapezium of area 24.5 cm. In it AD∥BC, DAB=90∘, AD = 10 cm and BC = 4 cm, If ABE is a quadrant of circle, find shaded region.
Answer» ABCD is a trapezium of area 24.5 cm. In it $A D ∥ B C$ , $D A B = 90^{\circ}$ , AD = 10 cm and BC = 4 cm, If ABE is a quadrant of circle, find shaded region.

Discussion

4811.	Prove that BR is a tangent to the circle
Answer» Prove that BR is a tangent to the circle

Discussion

4812.	A string of certain length makes one perfect turn around a cube of side A, starting from corner X and ending at Y (as in the fig). Given that the string is wrapped equally around the each edge of the cube. Find the length of the string.
Answer» A string of certain length makes one perfect turn around a cube of side A, starting from corner X and ending at Y (as in the fig). Given that the string is wrapped equally around the each edge of the cube. Find the length of the string.

Discussion

4813.	Find the maximum value of 16Cx for any natural number x.
Answer» Find the maximum value of ¹⁶C_x for any natural number x.

Discussion

4814.	In the second round match played by Churchill, how many total goals were scored? ___
Answer» In the second round match played by Churchill, how many total goals were scored? ___

Discussion

4815.	Given the information above, the percentage of doctors older than 35 can be at most
Answer» Given the information above, the percentage of doctors older than 35 can be at most

Discussion

4816.	Statements : All tests are exams. No exam is a question. Conclusions I. At least some tests are questions. II. No test is a question.
Answer» Statements : All tests are exams. No exam is a question. Conclusions I. At least some tests are questions. II. No test is a question.

4816.

Statements : All tests are exams. No exam is a question. Conclusions I. At least some tests are questions. II. No test is a question.

Answer»

Statements :

All tests are exams.

No exam is a question.

Conclusions

I. At least some tests are questions.

II. No test is a question.

Discussion

4817.	After how many stations does Q get down?
Answer» After how many stations does Q get down?

Discussion

4818.	The remainder obtained when the denominator of a fraction is divided by the numerator is zero. If 2 is added to the numerator the fraction becomes 12. The original fraction is
Answer» The remainder obtained when the denominator of a fraction is divided by the numerator is zero. If 2 is added to the numerator the fraction becomes $\frac{1}{2}$ . The original fraction is

Discussion

4819.	AZ : CX : : ? : JQ
Answer» AZ : CX : : ? : JQ

Discussion

4820.	15 is one-third of one fourth of a number, then(310)thof the number is -
Answer» $15 is one-third of one fourth of a number, then {(\frac{3}{10})}^{t h} of the number is -$

Discussion

4821.	Which are the messengers required in sequence to send a package from K to M?
Answer» Which are the messengers required in sequence to send a package from K to M?

Discussion

4822.	The number of significant figures in 3.1205 are:
Answer» The number of significant figures in 3.1205 are:

Discussion

4823.	In the following question, two equations I and II are given. You have to solve both the equations and choose the appropriate answer. I. a2 -- 5a + 6 = 0 II. b2 -- 3b + 2 = 0
Answer» In the following question, two equations I and II are given. You have to solve both the equations and choose the appropriate answer. I. a $^{2}$ -- 5a + 6 = 0 II. b $^{2}$ -- 3b + 2 = 0

4823.

In the following question, two equations I and II are given. You have to solve both the equations and choose the appropriate answer. I. a2 -- 5a + 6 = 0 II. b2 -- 3b + 2 = 0

Answer»

In the following question, two equations I and II are given. You have to solve both the equations and choose the appropriate answer.

I. a $^{2}$ -- 5a + 6 = 0

II. b $^{2}$ -- 3b + 2 = 0

Discussion

4824.	A, K, M and P are 4 friends. Who among them is the heaviest? Statement I: P is heavier than M and K but lighter than A. Statement II: M is lighter than P and A but heavier than K.
Answer» A, K, M and P are 4 friends. Who among them is the heaviest? Statement I: P is heavier than M and K but lighter than A. Statement II: M is lighter than P and A but heavier than K.

4824.

A, K, M and P are 4 friends. Who among them is the heaviest? Statement I: P is heavier than M and K but lighter than A. Statement II: M is lighter than P and A but heavier than K.

Answer»

A, K, M and P are 4 friends. Who among them is the heaviest?

Statement I: P is heavier than M and K but lighter than A.

Statement II: M is lighter than P and A but heavier than K.

Discussion

4825.	The athletes from FRG and USA decided to run a 4 × 100 m relay race for their respective countries with the country having three athletes borrowing the athlete from CZE. Assume that all the athletes ran their stretch of the relay race at the same speed as in Decathlon event. How much more time did the FRG relay team take as compared to the USA team?
Answer» The athletes from FRG and USA decided to run a 4 $\times$ 100 m relay race for their respective countries with the country having three athletes borrowing the athlete from CZE. Assume that all the athletes ran their stretch of the relay race at the same speed as in Decathlon event. How much more time did the FRG relay team take as compared to the USA team?

Discussion

4826.	A man travels from his home to office at 4km/hr and reaches his office 20 min late. If the speed had been 6 km/hr he would have reached 10 min early. Find the distance from his home to office?
Answer» A man travels from his home to office at 4km/hr and reaches his office 20 min late. If the speed had been 6 km/hr he would have reached 10 min early. Find the distance from his home to office?

Discussion

4827.	How many games have been played till now?
Answer» How many games have been played till now?

Discussion

4828.	Aptitude test 6 : 222 : : 7 : ? 210 336 343 350
Answer» Aptitude test 6 : 222 : : 7 : ? 210 336 343 350

Discussion

4829.	A shopkeeper sold an article at a gain of 5% if we are sold it for 16 . 50 rupees Less he would have lost 5% find the cost percentage of the article
Answer» A shopkeeper sold an article at a gain of 5% if we are sold it for 16 . 50 rupees Less he would have lost 5% find the cost percentage of the article

Discussion

4830.	In a row of 16 students, when Prakash moves two places ahead to his left he becomes 7th from the left. What was his original place in the beginning from the right?
Answer» In a row of 16 students, when Prakash moves two places ahead to his left he becomes $7^{t h}$ from the left. What was his original place in the beginning from the right?

Discussion

4831.	The remainder when 513513 is divided by 13 is _____________.
Answer» The remainder when 513513 is divided by 13 is _____________.

Discussion

4832.	Let 'x' be the arithmetic mean and y,z be the geometric means between any two geometric numbers.The value of (y3+z3)(xyz) is?
Answer» Let 'x' be the arithmetic mean and y,z be the geometric means between any two geometric numbers.The value of $\frac{(y^{3} + z^{3})}{(x y z)}$ is?

Discussion

4833.	Find the 202nd digit from the right in the product of 4!×5!×6!...............71!?
Answer» Find the $202^{n d}$ digit from the right in the product of $4! \times 5! \times 6! . . . . . . . . . . . . . . .71! ?$

Discussion

4834.	Who is staying on floor 5?
Answer» Who is staying on floor 5?

Discussion

4835.	Two trains 300 m and 225 m long are running in the same direction at the rate of 60 kmph and 67.5 kmph respectively(Assume one train behind the other train). In how much time will they cross each other?
Answer» Two trains 300 m and 225 m long are running in the same direction at the rate of 60 kmph and 67.5 kmph respectively(Assume one train behind the other train). In how much time will they cross each other?

Discussion

4836.	A circle is inscribed in a right-angled triangle, as shown. The point of contact of the circle and the hypotenuse divides the hypotenuse into lengths x and y. Prove that the area of the triangle is equal to xy. undefinedundefinedundefinedundefined
Answer» A circle is inscribed in a right-angled triangle, as shown. The point of contact of the circle and the hypotenuse divides the hypotenuse into lengths x and y. Prove that the area of the triangle is equal to xy. undefined undefined undefined undefined

Discussion

4837.	Harish said on looking at the portrait of a man, "His mother is the wife of my father's son. I don’t have any brothers or sisters." Whose portrait was Harish was looking at?
Answer» Harish said on looking at the portrait of a man, "His mother is the wife of my father's son. I don’t have any brothers or sisters." Whose portrait was Harish was looking at?

Discussion

4838.	Two tubes can fill a reservoir in 7 hrs and 8 hrs each. The tubes are opened together and due to a leakage, it takes 16 mins more to fill up the reservoir. When the reservoir fills up, how long will the leakage take to empty it?
Answer» Two tubes can fill a reservoir in 7 hrs and 8 hrs each. The tubes are opened together and due to a leakage, it takes 16 mins more to fill up the reservoir. When the reservoir fills up, how long will the leakage take to empty it?

Discussion

4839.	Among Shivani, Rana, Navin, Rakesh and Karan, who has secured maximum marks in Mathematics? I. Karan has secured more marks in Mathematics than Rana and Navin. II. Shivani and Rakesh have secured less marks in Mathematics than Navin.
Answer» Among Shivani, Rana, Navin, Rakesh and Karan, who has secured maximum marks in Mathematics? I. Karan has secured more marks in Mathematics than Rana and Navin. II. Shivani and Rakesh have secured less marks in Mathematics than Navin.

4839.

Among Shivani, Rana, Navin, Rakesh and Karan, who has secured maximum marks in Mathematics? I. Karan has secured more marks in Mathematics than Rana and Navin. II. Shivani and Rakesh have secured less marks in Mathematics than Navin.

Answer»

Among Shivani, Rana, Navin, Rakesh and Karan, who has secured maximum marks in Mathematics?

I. Karan has secured more marks in Mathematics than Rana and Navin.

II. Shivani and Rakesh have secured less marks in Mathematics than Navin.

Discussion

4840.	A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from an empty state, if B is used for half the time and A and B fill it together for the other half?
Answer» A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from an empty state, if B is used for half the time and A and B fill it together for the other half?

4840.

A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from an empty state, if B is used for half the time and A and B fill it together for the other half?

Answer»

A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from an empty state, if B is used for half the time and A and B fill it together for the other half?

Discussion

4841.	If the foreign exchange reserves in the beginning of 1998-99 were Rs.11341 bn and Rs.2961 bn were withdrawn by Chinese residing abroad, then what will be the reserve at the end of year after adjusting trade deficit of the year?
Answer» If the foreign exchange reserves in the beginning of 1998-99 were Rs.11341 bn and Rs.2961 bn were withdrawn by Chinese residing abroad, then what will be the reserve at the end of year after adjusting trade deficit of the year?

Discussion

4842.	If an A grade gets 4 points and a B grade gets 3 points, a C gets 2 and a D gets 1 point, what is the grade point average of the class? (approximately)
Answer» If an A grade gets 4 points and a B grade gets 3 points, a C gets 2 and a D gets 1 point, what is the grade point average of the class? (approximately)

Discussion

4843.	If 5 balls are picked at random, what is the probability that none are orange ?
Answer» If 5 balls are picked at random, what is the probability that none are orange ?

Discussion

4844.	What are the possible values of ′x′ in \|\|x\|−2\|≥2?
Answer» What are the possible values of $^{'} x^{'} i n \| \| x \| - 2 \| \geq 2 ?$

Discussion

4845.	The remainder obtained when 5150+4950is divided by 50 is
Answer» The remainder obtained when $51^{50}$ + $49^{50}$ is divided by 50 is

Discussion

4846.	What is the difference between total candidates appeared in six states in the year 1991 and 1993?
Answer» What is the difference between total candidates appeared in six states in the year 1991 and 1993?

Discussion

4847.	The number of male passengers from South Africa are approximately what percentage of the total number of passengers from Britain?
Answer» The number of male passengers from South Africa are approximately what percentage of the total number of passengers from Britain?

Discussion

4848.	x1,x2,x3,...,x40 are forty real numbers such that xr<xr+1 for r = 1, 2, 3... 39. Five numbers out of these are picked up at random. The probability that the five numbers have x20 as the middle number is:
Answer» $x_{1}$ , $x_{2}$ , $x_{3}$ ,..., $x_{40}$ are forty real numbers such that $x_{r}$ $<$ $x_{r + 1}$ for r = 1, 2, 3... 39. Five numbers out of these are picked up at random. The probability that the five numbers have $x_{20}$ as the middle number is:

Discussion

4849.	Q50. A, B and C are three participants in a km race. If A can give B a start of 40 m and B can give C a start of 25 m, how many metres start can A give C?
Answer» Q50. A, B and C are three participants in a km race. If A can give B a start of 40 m and B can give C a start of 25 m, how many metres start can A give C?

Discussion

4850.	Anil and Binod started a business by investing Rs.35,000 and Rs.13,000 respectively. At the end of every month, Anil withdraws certain amount from his investment and Binod invests the same amount as Anil has withdrawn. At the end of the year they share the profits in the ratio 1:1 . Find the amount invested by Binod every month.
Answer» Anil and Binod started a business by investing Rs.35,000 and Rs.13,000 respectively. At the end of every month, Anil withdraws certain amount from his investment and Binod invests the same amount as Anil has withdrawn. At the end of the year they share the profits in the ratio $1 : 1$ . Find the amount invested by Binod every month.

Discussion

Explore topic-wise InterviewSolutions in .

Two dices are thrown. The probability that the sum of the numbers coming up on them is 9, if it is known that the number 5 always occurs on the first die, is

How is Y related to Z ? Statement I. Z says, "I have only one brother". Statement II. Y says, "I have only one sister".

Five students participitated in a competition. Sohan's position was below Suresh's position . Vijay's position was above Deepak's position. Kunal was between Sohan and Vijay. Who secured first position in the competition?

There is a circle of radius 10 units which circumscribes an equilateral triangle. A quadrilateral is drawn by joining mid points of two adjacent sides of the triangle. Find the area of the quadrilateral.

There are twice the number of two-wheelers as there are three-wheelers and the number of 4 wheelers are equal to the number of two-wheelers. The average number of wheel per vehicle is:

All the required pairs cannot be determined if it is known that BLUE kept in a box together with

Question 164(i) If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.

Solve: m−(m−1)2=1−(m−2)3.

Let α and β be the roots of the quadratic equation x2+mx−1=0, where m is an odd integer. Let λn=αn+βn, for n≥0. Prove that for n≥0. (a) λn is an integer; and (b) GCD(λn,λn+1)=1

ABCD is a trapezium of area 24.5 cm. In it AD∥BC, DAB=90∘, AD = 10 cm and BC = 4 cm, If ABE is a quadrant of circle, find shaded region.

Prove that BR is a tangent to the circle

A string of certain length makes one perfect turn around a cube of side A, starting from corner X and ending at Y (as in the fig). Given that the string is wrapped equally around the each edge of the cube. Find the length of the string.

Find the maximum value of 16Cx for any natural number x.

In the second round match played by Churchill, how many total goals were scored? ___

Given the information above, the percentage of doctors older than 35 can be at most

Statements : All tests are exams. No exam is a question. Conclusions I. At least some tests are questions. II. No test is a question.

After how many stations does Q get down?

The remainder obtained when the denominator of a fraction is divided by the numerator is zero. If 2 is added to the numerator the fraction becomes 12. The original fraction is

AZ : CX : : ? : JQ

15 is one-third of one fourth of a number, then(310)thof the number is -

Which are the messengers required in sequence to send a package from K to M?

The number of significant figures in 3.1205 are:

In the following question, two equations I and II are given. You have to solve both the equations and choose the appropriate answer. I. a2 -- 5a + 6 = 0 II. b2 -- 3b + 2 = 0

A, K, M and P are 4 friends. Who among them is the heaviest? Statement I: P is heavier than M and K but lighter than A. Statement II: M is lighter than P and A but heavier than K.

A man travels from his home to office at 4km/hr and reaches his office 20 min late. If the speed had been 6 km/hr he would have reached 10 min early. Find the distance from his home to office?

How many games have been played till now?

Aptitude test 6 : 222 : : 7 : ? 210 336 343 350

A shopkeeper sold an article at a gain of 5% if we are sold it for 16 . 50 rupees Less he would have lost 5% find the cost percentage of the article

In a row of 16 students, when Prakash moves two places ahead to his left he becomes 7th from the left. What was his original place in the beginning from the right?

The remainder when 513513 is divided by 13 is _____________.

Let 'x' be the arithmetic mean and y,z be the geometric means between any two geometric numbers.The value of (y3+z3)(xyz) is?

Find the 202nd digit from the right in the product of 4!×5!×6!...............71!?

Who is staying on floor 5?

Two trains 300 m and 225 m long are running in the same direction at the rate of 60 kmph and 67.5 kmph respectively(Assume one train behind the other train). In how much time will they cross each other?

A circle is inscribed in a right-angled triangle, as shown. The point of contact of the circle and the hypotenuse divides the hypotenuse into lengths x and y. Prove that the area of the triangle is equal to xy. undefinedundefinedundefinedundefined

Harish said on looking at the portrait of a man, "His mother is the wife of my father's son. I don’t have any brothers or sisters." Whose portrait was Harish was looking at?

Two tubes can fill a reservoir in 7 hrs and 8 hrs each. The tubes are opened together and due to a leakage, it takes 16 mins more to fill up the reservoir. When the reservoir fills up, how long will the leakage take to empty it?

Among Shivani, Rana, Navin, Rakesh and Karan, who has secured maximum marks in Mathematics? I. Karan has secured more marks in Mathematics than Rana and Navin. II. Shivani and Rakesh have secured less marks in Mathematics than Navin.

A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from an empty state, if B is used for half the time and A and B fill it together for the other half?

If the foreign exchange reserves in the beginning of 1998-99 were Rs.11341 bn and Rs.2961 bn were withdrawn by Chinese residing abroad, then what will be the reserve at the end of year after adjusting trade deficit of the year?

If an A grade gets 4 points and a B grade gets 3 points, a C gets 2 and a D gets 1 point, what is the grade point average of the class? (approximately)

If 5 balls are picked at random, what is the probability that none are orange ?

What are the possible values of ′x′ in ||x|−2|≥2?

The remainder obtained when 5150+4950is divided by 50 is

What is the difference between total candidates appeared in six states in the year 1991 and 1993?

The number of male passengers from South Africa are approximately what percentage of the total number of passengers from Britain?

x1,x2,x3,...,x40 are forty real numbers such that xr&lt;xr+1 for r = 1, 2, 3... 39. Five numbers out of these are picked up at random. The probability that the five numbers have x20 as the middle number is:

Q50. A, B and C are three participants in a km race. If A can give B a start of 40 m and B can give C a start of 25 m, how many metres start can A give C?

x1,x2,x3,...,x40 are forty real numbers such that xr<xr+1 for r = 1, 2, 3... 39. Five numbers out of these are picked up at random. The probability that the five numbers have x20 as the middle number is: