5411 + Interview Questions in Quantitative Aptitude Page 3 InterviewSolution

101.	Complete the following series 66,36,18,____
Answer» Complete the following series 66,36,18,____

Discussion

102.	56. Find the area of the region bounded by the latus recta of the ellipse x2/a2 + y2/b2 =1 and the tangents to the ellipse drawn at their ends.
Answer» 56. Find the area of the region bounded by the latus recta of the ellipse x2/a2 + y2/b2 =1 and the tangents to the ellipse drawn at their ends.

Discussion

103.	In a committee, 50 people speak French, 20 Speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages?
Answer» In a committee, $50$ people speak French, $20$ Speak Spanish and $10$ speak both Spanish and French. How many speak at least one of these two languages?

Discussion

104.	Which of the following is the graph of [x] (greatest integer of x)?
Answer» Which of the following is the graph of [x] (greatest integer of x)?

Discussion

105.	Eight plants are to be arranged in rows, such that each row has same number of plants. In how many different ways can this arrangement be done?
Answer» Eight plants are to be arranged in rows, such that each row has same number of plants. In how many different ways can this arrangement be done?

Discussion

106.	tens digit in 1!+4!+7!+10!+12!+13!+15!+16!+!7! is divisible by4573!
Answer» tens digit in 1!+4!+7!+10!+12!+13!+15!+16!+!7! is divisible by 4 5 7 3!

Discussion

107.	A triangle with maximum area is cut from a circle. If the triangle is revolved about its any side such that the volume of solid so obtained is 128π cm3, then the radius of the circle is
Answer» A triangle with maximum area is cut from a circle. If the triangle is revolved about its any side such that the volume of solid so obtained is 128π cm3, then the radius of the circle is

Discussion

108.	What is the difference when we add vectors by triangle law and when we add them by the resultant formula?
Answer» What is the difference when we add vectors by triangle law and when we add them by the resultant formula?

Discussion

109.	Given a set of n rays in a plane, define a reversal as the operation of reversing precisely one ray and obtaining a new set of rays. If all the rays are reversed after 42 operations, then n can be
Answer» Given a set of n rays in a plane, define a reversal as the operation of reversing precisely one ray and obtaining a new set of rays. If all the rays are reversed after 42 operations, then n can be

Discussion

110.	A's share when ₹78,345 is divided between A and B in the ratio 4:11 is ₹ ___ .
Answer» A's share when ₹78,345 is divided between A and B in the ratio 4:11 is ₹ ___ .

Discussion

111.	As a result of greater competition in the US computer industry:
Answer» As a result of greater competition in the US computer industry:

Discussion

112.	The sum of 4 consecutive two-digit odd numbers, when divided by 10 becomes a perfect square. Which of the following can possibly be one of these 4 numbers?
Answer» The sum of 4 consecutive two-digit odd numbers, when divided by 10 becomes a perfect square. Which of the following can possibly be one of these 4 numbers?

Discussion

113.	कवि ने गाँव को 'हरता जन मन' क्यों कहा है?
Answer» कवि ने गाँव को 'हरता जन मन' क्यों कहा है?

Discussion

114.	x4+32 = 288. Find ‘-x’ (if x ϵR, x < 0). Ans.______________.
Answer» $x^{4}$ +32 = 288. Find ‘-x’ (if x $ϵ$ R, x < 0). Ans.______________.

Discussion

115.	Let x=√4+√4−√4+√4−....∞. Then, x equals
Answer» Let $x = \sqrt{4 + \sqrt{4 - \sqrt{4 + \sqrt{4 - . . . . \infty}}}}$ . Then, x equals

Discussion

116.

The water level in a dam initially is 500 m. Due to rains the level of water is increasing 5% for every 10 days of the total level. Find the missing number. Time taken (in days) Water level (in m) 0 500 10 A 20 551.25 30 578.8125 525

Answer» The water level in a dam initially is 500 m. Due to rains the level of water is increasing 5% for every 10 days of the total level. Find the missing number.

Time taken (in days)	Water level (in m)
0	500
10	A
20	551.25
30	578.8125

525

Discussion

117.	E is the mid-point of the non-parallel side BC of a trapezium ABCD. E is joined to the opposite vertices A and D prove that ΔABE+ΔDCE=12 trapezium ABCD.
Answer» E is the mid-point of the non-parallel side BC of a trapezium ABCD. E is joined to the opposite vertices A and D prove that $Δ A B E + Δ D C E = \frac{1}{2}$ trapezium ABCD.

Discussion

118.	If Pankaj deposits 1,50,000 rupees in a bank at 10 p.c.p.a. for two years, what is the total amount he will get from the bank ?
Answer» If Pankaj deposits 1,50,000 rupees in a bank at 10 p.c.p.a. for two years, what is the total amount he will get from the bank ?

Discussion

119.	The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find the diameter of the base of the cylinder. Assume π=227.
Answer» The curved surface area of a right circular cylinder of height 14 cm is 88 $c m^{2}$ . Find the diameter of the base of the cylinder. Assume $π = \frac{22}{7}$ .

Discussion

120.	Read the statements below.Reeta: Let’s park the car here.Rohan: No, this is no parking zone.By looking at which of the following signs, is Rohan saying so?
Answer» Read the statements below. Reeta: Let’s park the car here. Rohan: No, this is no parking zone. By looking at which of the following signs, is Rohan saying so?

Discussion

121.	Find the minimum value of loga b+logb a (where a and b are not equal to 1).
Answer» Find the minimum value of $l o g_{a} b + l o g_{b} a$ (where a and b are not equal to 1).

Discussion

122.	Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same? (rounded off to two digits after decimal)
Answer» Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same? (rounded off to two digits after decimal)

Discussion

123.	If the lines l1 and l2 are parallel then find the value of `x'.
Answer» If the lines l $_{1}$ and l $_{2}$ are parallel then find the value of `x'.

123.

If the lines l1 and l2 are parallel then find the value of `x'.

Answer»

If the lines l $_{1}$ and l $_{2}$ are parallel then find the value of `x'.

Discussion

124.	how to find the height of a regular hexagon in terms of side a ?
Answer» how to find the height of a regular hexagon in terms of side a ?

Discussion

125.	solution of linear equations by determinant 4/(x+5) +3/(y+7)=-1 and 6/(x+5) -6/(y+7)=-5
Answer» solution of linear equations by determinant 4/(x+5) +3/(y+7)=-1 and 6/(x+5) -6/(y+7)=-5

Discussion

126.	Slope of normal at (1,1) to the curve x3+3xy+y3=5 is
Answer» Slope of normal at $(1, 1)$ to the curve $x^{3} + 3 x y + y^{3} = 5$ is

Discussion

127.	Prove that the tangents drawn at the ends of diameter of a circle are parallel
Answer» Prove that the tangents drawn at the ends of diameter of a circle are parallel

Discussion

128.	A solid wooden toy in the shape of a right circular cone is mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy.
Answer» A solid wooden toy in the shape of a right circular cone is mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy.

Discussion

129.	The foreign exchange reserve in 1997-98 was how many times that in 1994-95?
Answer» The foreign exchange reserve in 1997-98 was how many times that in 1994-95?

Discussion

130.	49. ABCD is a //gm in which BC =BE A line segment DE intersect ABat F Area of triangle ADF is 4 cm square find the area of //ABCD
Answer» 49. ABCD is a //gm in which BC =BE A line segment DE intersect ABat F Area of triangle ADF is 4 cm square find the area of //ABCD

Discussion

131.	Find the next number in the sequence. 157.5, –45, –15, 6, 3, –2, ?
Answer» Find the next number in the sequence. 157.5, –45, –15, 6, 3, –2, ?

131.

Find the next number in the sequence. 157.5, –45, –15, 6, 3, –2, ?

Answer»

Find the next number in the sequence.

157.5, –45, –15, 6, 3, –2, ?

Discussion

132.	HOW TO FIND AN EVEN MIDDLE TERM IN AN AP?
Answer» HOW TO FIND AN EVEN MIDDLE TERM IN AN AP?

Discussion

133.	Consider the Boolean expression:f(A,B,C,D)=¯¯¯¯¯¯¯¯AB+¯¯¯¯A ¯¯¯¯C ¯¯¯¯¯D+¯¯¯¯A ¯¯¯¯B D+¯¯¯¯¯¯¯¯AB C ¯¯¯¯¯Dthen the minimised expression of f(A,B,C,D) is equal to
Answer» Consider the Boolean expression: $f (A, B, C, D) = ¯ ¯¯¯¯¯¯ ¯ A B + ¯ ¯¯ ¯ A ¯ ¯¯ ¯ C ¯ ¯¯¯ ¯ D + ¯ ¯¯ ¯ A ¯ ¯¯ ¯ B D + ¯ ¯¯¯¯¯¯ ¯ A B C ¯ ¯¯¯ ¯ D$ then the minimised expression of $f (A, B, C, D)$ is equal to

Discussion

134.	26.when X is divided by 3 leaves remainder of 1and the quotient also leaves a remainder of 1 when divided by 2 find the remainder when X is divided by 6?
Answer» 26.when X is divided by 3 leaves remainder of 1and the quotient also leaves a remainder of 1 when divided by 2 find the remainder when X is divided by 6?

Discussion

135.	If the sum of n terms of an AP is given by S_n=a+bn+cn^2,where a,b and c are independent of n, then a. a≠0 b. d≠3b c.d=2c d. first term of an AP is b-
Answer» If the sum of n terms of an AP is given by S_n=a+bn+cn^2,where a,b and c are independent of n, then a. a≠0 b. d≠3b c.d=2c d. first term of an AP is b-

Discussion

136.	यदि आप माली की जगह पर होते, तो हुकूमत के फैसले का इंतज़ार करते या नहीं? अगर हाँ, तो क्यों? और नहीं, तो क्यों?
Answer» यदि आप माली की जगह पर होते, तो हुकूमत के फैसले का इंतज़ार करते या नहीं? अगर हाँ, तो क्यों? और नहीं, तो क्यों?

Discussion

137.	Last year the population of Nashville was x and if it continues to increase at the same rate, then next year the population will be y, what is the present population?
Answer» Last year the population of Nashville was x and if it continues to increase at the same rate, then next year the population will be y, what is the present population?

Discussion

138.	Two circles C (O, r) and C (O', r') intersect at two points A and B and O lies on C(O', r'). A tangent CD is drawn to the circle C(O', r') at A. Then
Answer» Two circles C (O, r) and C (O', r') intersect at two points A and B and O lies on C(O', r'). A tangent CD is drawn to the circle C(O', r') at A. Then

Discussion

139.	The number of integers x for which x, 10 and 24 are the sides of an acute angled triangle is
Answer» The number of integers x for which x, 10 and 24 are the sides of an acute angled triangle is

Discussion

140.	The remainder when 124124 is divided by 11 is _____________.
Answer» The remainder when 124124 is divided by 11 is _____________.

Discussion

141.

How many words can you make using letters from the word in the picture? One has been done for you.HIPPOPOTAMUSDisclaimer: Kindly refer the textbook for the image. POT Circle what you can carry in your school bag. Now write the names of circled things in the box below.ruler, sharpner, pen, eraser, water bottle, ice-cream cone, books, toy, pebbles, pencil, tiffin, spectaclesDisclaimer: Kindly refer the textbook for the images. 1. 2. 3. 4. 5. 6. 7. 8.

Answer»

How many words can you make using letters from the word in the picture? One has been done for you.

HIPPOPOTAMUS

Disclaimer: Kindly refer the textbook for the image.

POT

Circle what you can carry in your school bag. Now write the names of circled things in the box below.

ruler, sharpner, pen, eraser, water bottle, ice-cream cone, books, toy, pebbles, pencil, tiffin, spectacles

Disclaimer: Kindly refer the textbook for the images.

1.	2.
3.	4.
5.	6.
7.	8.

Discussion

142.	In the figure, if DE BC, then find the perimeter of quadrilateral BDEC.
Answer» In the figure, if DE BC, then find the perimeter of quadrilateral BDEC.

142.

In the figure, if DE BC, then find the perimeter of quadrilateral BDEC.

Answer»

In the figure, if DE BC, then find the perimeter of quadrilateral BDEC.

Discussion

143.	14 Let p be an odd number and T(p) be the following set of 22 matrices ( matrix given below in image Q - the number of A in T(p) such that A is either symmetric or skew symmetric or both ,and det(A) divisible by p is 1) (p-1) 2) 2(p-1) 3) (p-1)+1 4)2p-1
Answer» 14 Let p be an odd number and T(p) be the following set of 22 matrices ( matrix given below in image Q - the number of A in T(p) such that A is either symmetric or skew symmetric or both ,and det(A) divisible by p is 1) (p-1) 2) 2(p-1) 3) (p-1)+1 4)2p-1

Discussion

144.	To whom does C-4 belong at the end of the game?
Answer» To whom does C-4 belong at the end of the game?

Discussion

145.	Given a square ABCD such that line joining C and the midpoint of AD i.e. F meets line joining AB at E when extended. Find the ratio of area of Δ DFC to that of Δ EBC.
Answer» Given a square ABCD such that line joining C and the midpoint of AD i.e. F meets line joining AB at E when extended. Find the ratio of area of $Δ$ DFC to that of $Δ$ EBC.

145.

Given a square ABCD such that line joining C and the midpoint of AD i.e. F meets line joining AB at E when extended. Find the ratio of area of Δ DFC to that of Δ EBC.

Answer»

Given a square ABCD such that line joining C and the midpoint of AD i.e. F meets line joining AB at E when extended. Find the ratio of area of $Δ$ DFC to that of $Δ$ EBC.

Discussion

146.	A positive whole number M less than 100 is represented in base 2 notation, base 3 notation, and base 5 notation. It is found that in all three cases the last digit is 1, while in exactly two out of the three cases the leading digit is 1. Then M equals:
Answer» A positive whole number M less than 100 is represented in base 2 notation, base 3 notation, and base 5 notation. It is found that in all three cases the last digit is 1, while in exactly two out of the three cases the leading digit is 1. Then M equals:

Discussion

147.	Four persons independently solve a certain problem correctly with probabilities 12,34,14,18. Then the probability that the problem is solved correctly by at least one of them is
Answer» Four persons independently solve a certain problem correctly with probabilities $\frac{1}{2}, \frac{3}{4}, \frac{1}{4}, \frac{1}{8}$ . Then the probability that the problem is solved correctly by at least one of them is

Discussion

148.	If a=∑∞n=1(2n(2n−1)!) and b=∑∞n=1(2n(2n+1)!). Find value of [a] + [3b] where [ ] denotes greatest integer function or integral value of x.
Answer» If $a = \sum_{n = 1}^{\infty} (\frac{2 n}{(2 n - 1)!})$ and $b = \sum_{n = 1}^{\infty} (\frac{2 n}{(2 n + 1)!})$ . Find value of [a] + [3b] where [ ] denotes greatest integer function or integral value of x.

Discussion

149.

Match the following social security schemes with their respective eligible age-range for enrolment: Which of the above statements is/are correct

Answer»

Match the following social security schemes with their respective eligible age-range for enrolment:

Which of the above statements is/are correct

Discussion

150.	Find the real values of 'x' satisfying: log0.3(10x+3)<log0.3(7x−4)
Answer» Find the real values of 'x' satisfying: $l o g_{0.3} (10 x + 3) < l o g_{0.3} (7 x - 4)$

Discussion

Explore topic-wise InterviewSolutions in .

Complete the following series 66,36,18,____

56. Find the area of the region bounded by the latus recta of the ellipse x2/a2 + y2/b2 =1 and the tangents to the ellipse drawn at their ends.

In a committee, 50 people speak French, 20 Speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages?

Which of the following is the graph of [x] (greatest integer of x)?

Eight plants are to be arranged in rows, such that each row has same number of plants. In how many different ways can this arrangement be done?

tens digit in 1!+4!+7!+10!+12!+13!+15!+16!+!7! is divisible by4573!

A triangle with maximum area is cut from a circle. If the triangle is revolved about its any side such that the volume of solid so obtained is 128π cm3, then the radius of the circle is

What is the difference when we add vectors by triangle law and when we add them by the resultant formula?

Given a set of n rays in a plane, define a reversal as the operation of reversing precisely one ray and obtaining a new set of rays. If all the rays are reversed after 42 operations, then n can be

A's share when ₹78,345 is divided between A and B in the ratio 4:11 is ₹ ___ .

As a result of greater competition in the US computer industry:

The sum of 4 consecutive two-digit odd numbers, when divided by 10 becomes a perfect square. Which of the following can possibly be one of these 4 numbers?

कवि ने गाँव को 'हरता जन मन' क्यों कहा है?

x4+32 = 288. Find ‘-x’ (if x ϵR, x &lt; 0). Ans.______________.

Let x=√4+√4−√4+√4−....∞. Then, x equals

The water level in a dam initially is 500 m. Due to rains the level of water is increasing 5% for every 10 days of the total level. Find the missing number. Time taken (in days) Water level (in m) 0 500 10 A 20 551.25 30 578.8125 525

E is the mid-point of the non-parallel side BC of a trapezium ABCD. E is joined to the opposite vertices A and D prove that ΔABE+ΔDCE=12 trapezium ABCD.

If Pankaj deposits 1,50,000 rupees in a bank at 10 p.c.p.a. for two years, what is the total amount he will get from the bank ?

The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find the diameter of the base of the cylinder. Assume π=227.

Read the statements below.Reeta: Let’s park the car here.Rohan: No, this is no parking zone.By looking at which of the following signs, is Rohan saying so?

Find the minimum value of loga b+logb a (where a and b are not equal to 1).

Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same? (rounded off to two digits after decimal)

If the lines l1 and l2 are parallel then find the value of `x'.

how to find the height of a regular hexagon in terms of side a ?

solution of linear equations by determinant 4/(x+5) +3/(y+7)=-1 and 6/(x+5) -6/(y+7)=-5

Slope of normal at (1,1) to the curve x3+3xy+y3=5 is

Prove that the tangents drawn at the ends of diameter of a circle are parallel

A solid wooden toy in the shape of a right circular cone is mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy.

The foreign exchange reserve in 1997-98 was how many times that in 1994-95?

49. ABCD is a //gm in which BC =BE A line segment DE intersect ABat F Area of triangle ADF is 4 cm square find the area of //ABCD

Find the next number in the sequence. 157.5, –45, –15, 6, 3, –2, ?

HOW TO FIND AN EVEN MIDDLE TERM IN AN AP?

Consider the Boolean expression:f(A,B,C,D)=¯¯¯¯¯¯¯¯AB+¯¯¯¯A ¯¯¯¯C ¯¯¯¯¯D+¯¯¯¯A ¯¯¯¯B D+¯¯¯¯¯¯¯¯AB C ¯¯¯¯¯Dthen the minimised expression of f(A,B,C,D) is equal to

26.when X is divided by 3 leaves remainder of 1and the quotient also leaves a remainder of 1 when divided by 2 find the remainder when X is divided by 6?

If the sum of n terms of an AP is given by S_n=a+bn+cn^2,where a,b and c are independent of n, then a. a≠0 b. d≠3b c.d=2c d. first term of an AP is b-

यदि आप माली की जगह पर होते, तो हुकूमत के फैसले का इंतज़ार करते या नहीं? अगर हाँ, तो क्यों? और नहीं, तो क्यों?

Last year the population of Nashville was x and if it continues to increase at the same rate, then next year the population will be y, what is the present population?

Two circles C (O, r) and C (O', r') intersect at two points A and B and O lies on C(O', r'). A tangent CD is drawn to the circle C(O', r') at A. Then

The number of integers x for which x, 10 and 24 are the sides of an acute angled triangle is

The remainder when 124124 is divided by 11 is _____________.

In the figure, if DE BC, then find the perimeter of quadrilateral BDEC.

14 Let p be an odd number and T(p) be the following set of 22 matrices ( matrix given below in image Q - the number of A in T(p) such that A is either symmetric or skew symmetric or both ,and det(A) divisible by p is 1) (p-1) 2) 2(p-1) 3) (p-1)+1 4)2p-1

To whom does C-4 belong at the end of the game?

Given a square ABCD such that line joining C and the midpoint of AD i.e. F meets line joining AB at E when extended. Find the ratio of area of Δ DFC to that of Δ EBC.

A positive whole number M less than 100 is represented in base 2 notation, base 3 notation, and base 5 notation. It is found that in all three cases the last digit is 1, while in exactly two out of the three cases the leading digit is 1. Then M equals:

Four persons independently solve a certain problem correctly with probabilities 12,34,14,18. Then the probability that the problem is solved correctly by at least one of them is

If a=∑∞n=1(2n(2n−1)!) and b=∑∞n=1(2n(2n+1)!). Find value of [a] + [3b] where [ ] denotes greatest integer function or integral value of x.

Match the following social security schemes with their respective eligible age-range for enrolment: Which of the above statements is/are correct

Find the real values of 'x' satisfying: log0.3(10x+3)&lt;log0.3(7x−4)

x4+32 = 288. Find ‘-x’ (if x ϵR, x < 0). Ans.______________.

Find the real values of 'x' satisfying: log0.3(10x+3)<log0.3(7x−4)