5411 + Interview Questions in Quantitative Aptitude Page 10 InterviewSolution

451.	For a drama, 3 students need to be selected out of 6 students A,B,C,D,E and F. If A is already selected, what is the probability of selecting C also?
Answer» For a drama, 3 students need to be selected out of 6 students A,B,C,D,E and F. If A is already selected, what is the probability of selecting C also?

Discussion

452.	Let P be an interior point of a right-angled isosceles triangle ABC with hypotenuse AB. If the perpendicular distance of P from each of AB, BC, and CA is 4(√2−1)cm, then the area, in sq cm, of the triangle ABC is ___
Answer» Let P be an interior point of a right-angled isosceles triangle ABC with hypotenuse AB. If the perpendicular distance of P from each of AB, BC, and CA is $4 (\sqrt{2} - 1) c m$ , then the area, in sq cm, of the triangle ABC is ___

Discussion

453.	Question 4 (ii)If the lateral surface of a cylinder is 94.2cm2 and its height is 5 cm, then find: (ii) its volume. [Use π=3.14]
Answer» Question 4 (ii) If the lateral surface of a cylinder is $94.2 c m^{2}$ and its height is 5 cm, then find: (ii) its volume. $[U s e π = 3.14]$

453.

Question 4 (ii)If the lateral surface of a cylinder is 94.2cm2 and its height is 5 cm, then find: (ii) its volume. [Use π=3.14]

Answer»

Question 4 (ii)

If the lateral surface of a cylinder is $94.2 c m^{2}$ and its height is 5 cm, then find:

(ii) its volume. $[U s e π = 3.14]$

Discussion

454.	SP of an item is Rs.374 and discount on it is Rs.24, find the MP.
Answer» SP of an item is Rs.374 and discount on it is Rs.24, find the MP.

Discussion

455.	What is Dennis' score in Networking?
Answer» What is Dennis' score in Networking?

Discussion

456.	In the centre of a triangular plot of land of sides 15m, 12m and 9m, a triangular portion isto be covered with trees and the portion in between the two triangles is covered withgrass. If the triangular portion inside the plot has perimeter 18m and its sides are in theratio 4:3:2. Find the area to be planted with trees and area to be planted with grass.(\surd3=1.32)
Answer» In the centre of a triangular plot of land of sides 15m, 12m and 9m, a triangular portion isto be covered with trees and the portion in between the two triangles is covered withgrass. If the triangular portion inside the plot has perimeter 18m and its sides are in theratio 4:3:2. Find the area to be planted with trees and area to be planted with grass.(\surd3=1.32)

Discussion

457.	19.How to find out the time taken to move from mean position to a/3 while oscillating?
Answer» 19.How to find out the time taken to move from mean position to a/3 while oscillating?

Discussion

458.	In how many ways can 7 identical erasers be distributed among 4 kids in such a way that each kid gets at least one eraser but nobody gets more than 3 erasers?
Answer» In how many ways can 7 identical erasers be distributed among 4 kids in such a way that each kid gets at least one eraser but nobody gets more than 3 erasers?

Discussion

459.	Let p,q and r be real numbers (p≠q,r≠0), such that the roots of the equation 1x+p+1x+q=1r are equal in magnitude but opposite in sign, then the sum of squares of these roots is equal to :
Answer» Let $p, q a n d r$ be real numbers $(p \neq q, r \neq 0)$ , such that the roots of the equation $\frac{1}{x + p} + \frac{1}{x + q} = \frac{1}{r}$ are equal in magnitude but opposite in sign, then the sum of squares of these roots is equal to :

Discussion

460.	Jethalal took a housing loan of 2,50,000 rupees from a bank at 10 p.c.p.a. for 5 years. What is the yearly interest he must pay and the total amount he returns to the bank?
Answer» Jethalal took a housing loan of 2,50,000 rupees from a bank at 10 p.c.p.a. for 5 years. What is the yearly interest he must pay and the total amount he returns to the bank?

Discussion

461.	What is the value of m , if a3 +3a2 – am +4 when divided by a - 2, gives a remainder m?
Answer» What is the value of m , if a³ +3a² – am +4 when divided by a - 2, gives a remainder m?

Discussion

462.	In which year was the sale of trinkets as a percentage of domestic production the highest?
Answer» In which year was the sale of trinkets as a percentage of domestic production the highest?

Discussion

463.	If AB = 10 cm, what is the area of the shaded portion? It is given that OPA and OQB are quadrants of a circle and AB is a tangent to them. AMR and RNB are two identical semicircles.
Answer» If AB = 10 cm, what is the area of the shaded portion? It is given that OPA and OQB are quadrants of a circle and AB is a tangent to them. AMR and RNB are two identical semicircles.

Discussion

464.	Dexter is coming up with a chemical complex using 3 different soluble substances in the volume ratio 3:4:7. The densities of these substances are in the ratio 5:2:6 respectively. The mass of the 2nd substance contained in 130 litres of the complex is ___
Answer» Dexter is coming up with a chemical complex using 3 different soluble substances in the volume ratio 3:4:7. The densities of these substances are in the ratio 5:2:6 respectively. The mass of the $2^{n d}$ substance contained in 130 litres of the complex is ___

Discussion

465.	Three no.s form a GP.if the third term is decreased by 128 then,the three no.s thus obtained will form an AP. If the second term of thia AP is decreased by 16 ,a GP will be formed again. Determine the no.s.
Answer» Three no.s form a GP.if the third term is decreased by 128 then,the three no.s thus obtained will form an AP. If the second term of thia AP is decreased by 16 ,a GP will be formed again. Determine the no.s.

Discussion

466.	If number x is 20% less than another number y and y is 40% more than 100, then find out the value of x.
Answer» If number x is 20% less than another number y and y is 40% more than 100, then find out the value of x.

Discussion

467.	In a zoo, the ratio of the number of lions to the number of zebras is 1 : 3. If the number of lions is 30, then find the number of zebras.90
Answer» In a zoo, the ratio of the number of lions to the number of zebras is 1 : 3. If the number of lions is 30, then find the number of zebras. 90

Discussion

468.	Two pipes A and B can fill a cistern in 3712 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:
Answer» Two pipes A and B can fill a cistern in $37 \frac{1}{2}$ minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:

Discussion

469.	In the given figure, compute the area of quadrilateral ABCD.
Answer» In the given figure, compute the area of quadrilateral ABCD.

Discussion

470.	If f(x)=x2+1 and g(x)=x2−1, then what is the value of f[g{h(x)}]? Given, h(x)=1555∑x=1[f(x)+g(x)]
Answer» If $f (x) = x^{2} + 1$ and $g (x) = x^{2} - 1$ , then what is the value of f[g{h(x)}]? Given, $h (x) = \frac{1}{55} 5 \sum x = 1 [f (x) + g (x)]$

Discussion

471.	If Alisha finds that she is twelfth from the right in a line of girls and fourth from the left, how many girls should be added to the line such that there are 28 girls in the line?
Answer» If Alisha finds that she is twelfth from the right in a line of girls and fourth from the left, how many girls should be added to the line such that there are 28 girls in the line?

Discussion

472.	Step IV of an input is:89 bastion 75 chopper 19 39 horseplayer diagram Which of the following is definitely the input?
Answer» Step IV of an input is:89 bastion 75 chopper 19 39 horseplayer diagram Which of the following is definitely the input?

472.

Step IV of an input is:89 bastion 75 chopper 19 39 horseplayer diagram Which of the following is definitely the input?

Answer»

Step IV of an input is:89 bastion 75 chopper 19 39 horseplayer diagram

Which of the following is definitely the input?

Discussion

473.	Find the total number of numbers that can be formed by using all the digits 1,2,3,4,3,2,1 so that the odd digits always occupy the odd places.
Answer» Find the total number of numbers that can be formed by using all the digits 1,2,3,4,3,2,1 so that the odd digits always occupy the odd places.

Discussion

474.	Directions (Qs. 1– 2) : Answer the questions based on the following information. What is the value of the loans in 1980 at 1983 prices?
Answer» Directions (Qs. 1– 2) : Answer the questions based on the following information. What is the value of the loans in 1980 at 1983 prices?

Discussion

475.	Write 271 as the sum of positive real numbers so as to maximize their product.
Answer» Write 271 as the sum of positive real numbers so as to maximize their product.

Discussion

476.	In a group of people, there are 13 who like apples, 9 who like blueberries, 15 who like cantaloupe,and 6 who like dates. (A person can like more than 1 kind of fruit.) Each person who likes blueberries also likes exactly one of apples and cantaloupe. Each person who likes cantaloupe also likes exactly one of blueberries and dates. Find the minimum possible number of people in the group
Answer» In a group of people, there are 13 who like apples, 9 who like blueberries, 15 who like cantaloupe,and 6 who like dates. (A person can like more than 1 kind of fruit.) Each person who likes blueberries also likes exactly one of apples and cantaloupe. Each person who likes cantaloupe also likes exactly one of blueberries and dates. Find the minimum possible number of people in the group

Discussion

477.	If M % N means M is the father of N; M & N means M is the mother of N; M $ N means M is the brother N; and M ~ N means M is the sister of N, which of the following shows that A is the maternal uncle of B?
Answer» If M % N means M is the father of N; M & N means M is the mother of N; M $ N means M is the brother N; and M ~ N means M is the sister of N, which of the following shows that A is the maternal uncle of B?

Discussion

478.	The bottom two teams will be relegated to the B League at the end of the league. Assuming each team has to play a total of 22 matches and all the remaining matches of the league turn out to be draws. Which two teams will be relegated (if teams have the same number of points then the team with fewer wins will be relegated)?
Answer» The bottom two teams will be relegated to the B League at the end of the league. Assuming each team has to play a total of 22 matches and all the remaining matches of the league turn out to be draws. Which two teams will be relegated (if teams have the same number of points then the team with fewer wins will be relegated)?

Discussion

479.	The ratio between a two digit number and sum of its digits is a:b. If the digit in the units place is n more than the digit in the tens place then find the number in terms of n, a, b
Answer» The ratio between a two digit number and sum of its digits is a:b. If the digit in the units place is n more than the digit in the tens place then find the number in terms of n, a, b

Discussion

480.	Find the value of x and y by reducing the given equation to linear form and thensolving algebraically.2/x-3/y=4/7 and 5/x+7/y=7/2
Answer» Find the value of x and y by reducing the given equation to linear form and then solving algebraically. 2/x-3/y=4/7 and 5/x+7/y=7/2

Discussion

481.	sin−1{√1+x+√1−x2}
Answer» $s i n^{- 1} {\frac{\sqrt{1 + x} + \sqrt{1 - x}}{2}}$

Discussion

482.	A man starts from L to M, another from M to L at the same time. After passing each other, they complete their journey in 313 and 445hr respectively. Find the speed of the second man if the speed of the first is 24km/hrundefinedundefinedundefinedundefined
Answer» A man starts from L to M, another from M to L at the same time. After passing each other, they complete their journey in $3 \frac{1}{3} a n d 4 \frac{4}{5} h r$ respectively. Find the speed of the second man if the speed of the first is 24km/hr undefined undefined undefined undefined

Discussion

483.	44. The area of cyclic quadrilateral ABCD with sides AB = 18 cm, BC= 10cm, CD= 14cm, DA= 10cm is equal to
Answer» 44. The area of cyclic quadrilateral ABCD with sides AB = 18 cm, BC= 10cm, CD= 14cm, DA= 10cm is equal to

Discussion

484.	Let p and q be two positive number such that p+q=2 and p4+q4=272. Then p and q are roots of the equation:
Answer» Let $p$ and $q$ be two positive number such that $p + q = 2$ and $p^{4} + q^{4} = 272$ . Then $p$ and $q$ are roots of the equation:

Discussion

485.	If centroid of triangle formed by (t,t2),(−t2,−2t) and (3,4) is incentre of the triangle formed by the points (0,0),(3,0) and (0,4). Then number of solutions of the equation cos2θ+5cosθ=2t in (0,2π) is
Answer» If centroid of triangle formed by $(t, t^{2}), (- t^{2}, - 2 t)$ and $(3, 4)$ is incentre of the triangle formed by the points $(0, 0), (3, 0)$ and $(0, 4)$ . Then number of solutions of the equation $cos 2 θ + 5 cos θ = 2 t$ in $(0, 2 π)$ is

Discussion

486.	Number of diagonals in a hexagon is___
Answer» Number of diagonals in a hexagon is___

Discussion

487.	Details of the number of students applying for CET for engineering Number of students who appeared for the exam as a % of the total no of students who applied for the exam Note: Number of students who secured admission in 1993-94 is 4000. The compounded annual growth rate from 1994-95 to 1999-2000 in the number of students who appeared for the exam is
Answer» Details of the number of students applying for CET for engineering Number of students who appeared for the exam as a % of the total no of students who applied for the exam Note: Number of students who secured admission in 1993-94 is 4000. The compounded annual growth rate from 1994-95 to 1999-2000 in the number of students who appeared for the exam is

Discussion

488.	Let ABC be a right triangle in which AB=6cm, BC=8cm and angleB=90degree, BD is perpendicular from B to AC. the circle through BCD is drawn . Construct the tangents from A to the circle.
Answer» Let ABC be a right triangle in which AB=6cm, BC=8cm and angleB=90degree, BD is perpendicular from B to AC. the circle through BCD is drawn . Construct the tangents from A to the circle.

Discussion

489.	Question 13How many three-digit numbers are divisible by 7?
Answer» Question 13 How many three-digit numbers are divisible by 7?

Discussion

490.	On circles O is the centre of the circle .in the given figure OA=OB=OC Then prove that Angle x+angle y=2(angle z+angle t)
Answer» On circles O is the centre of the circle .in the given figure OA=OB=OC Then prove that Angle x+angle y=2(angle z+angle t)

Discussion

491.	If two teams from each group qualify for the third round then what is the minimum points of the team from group A which qualifies?
Answer» If two teams from each group qualify for the third round then what is the minimum points of the team from group A which qualifies?

Discussion

492.	The salaries of A, B and C are in the ratio 2:3:4. If the salaries are increased by 10%, 20% and 30% respectively, then the increased salaries will be in the ratio
Answer» The salaries of $A,$ $B$ and $C$ are in the ratio $2 : 3 : 4.$ If the salaries are increased by $10 %,$ $20 %$ and $30 %$ respectively, then the increased salaries will be in the ratio

Discussion

493.	From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 15cm, 8cm and 7cm. Find the area of the triangle.
Answer» From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 15cm, 8cm and 7cm. Find the area of the triangle.

Discussion

494.	If 215 is divided by 13, the remainder is ___________.
Answer» If 2¹⁵ is divided by 13, the remainder is ___________.

Discussion

495.	Prove that there is no natural number for which 4^n ends with digit zero
Answer» Prove that there is no natural number for which 4^n ends with digit zero

Discussion

496.	If an isosceles right triangle has area 8 cm2 then the length of its hypotenuse is(a) √32 cm(b) √48 cm(c) √24 cm(d) √4 cm
Answer» If an isosceles right triangle has area $8 c m^{2}$ then the length of its hypotenuse is (a) $\sqrt{32} c m$ (b) $\sqrt{48} c m$ (c) $\sqrt{24} c m$ (d) $\sqrt{4} c m$

Discussion

497.	How many arcseconds are in 1∘?
Answer» How many arcseconds are in 1 $^{\circ} ?$

Discussion

498.	If a = b2p, b = c2q and c = a2r, then pqr =?
Answer» If a = b $^{2 p}$ , b = c $^{2 q}$ and c = a $^{2 r}$ , then pqr =?

Discussion

499.	How many numbers lie between 100 and 10000 which when successively divided by 7, 11 and 13 leaves the respective remainders of 5, 6 and 7? ___
Answer» How many numbers lie between 100 and 10000 which when successively divided by 7, 11 and 13 leaves the respective remainders of 5, 6 and 7? ___

Discussion

500.	Find the remainder when 4001000 is divided by 17?
Answer» Find the remainder when $400^{1000}$ is divided by 17?

Discussion

Explore topic-wise InterviewSolutions in .

For a drama, 3 students need to be selected out of 6 students A,B,C,D,E and F. If A is already selected, what is the probability of selecting C also?

Let P be an interior point of a right-angled isosceles triangle ABC with hypotenuse AB. If the perpendicular distance of P from each of AB, BC, and CA is 4(√2−1)cm, then the area, in sq cm, of the triangle ABC is ___

Question 4 (ii)If the lateral surface of a cylinder is 94.2cm2 and its height is 5 cm, then find: (ii) its volume. [Use π=3.14]

SP of an item is Rs.374 and discount on it is Rs.24, find the MP.

What is Dennis' score in Networking?

19.How to find out the time taken to move from mean position to a/3 while oscillating?

In how many ways can 7 identical erasers be distributed among 4 kids in such a way that each kid gets at least one eraser but nobody gets more than 3 erasers?

Let p,q and r be real numbers (p≠q,r≠0), such that the roots of the equation 1x+p+1x+q=1r are equal in magnitude but opposite in sign, then the sum of squares of these roots is equal to :

Jethalal took a housing loan of 2,50,000 rupees from a bank at 10 p.c.p.a. for 5 years. What is the yearly interest he must pay and the total amount he returns to the bank?

What is the value of m , if a3 +3a2 – am +4 when divided by a - 2, gives a remainder m?

In which year was the sale of trinkets as a percentage of domestic production the highest?

If AB = 10 cm, what is the area of the shaded portion? It is given that OPA and OQB are quadrants of a circle and AB is a tangent to them. AMR and RNB are two identical semicircles.

Dexter is coming up with a chemical complex using 3 different soluble substances in the volume ratio 3:4:7. The densities of these substances are in the ratio 5:2:6 respectively. The mass of the 2nd substance contained in 130 litres of the complex is ___

Three no.s form a GP.if the third term is decreased by 128 then,the three no.s thus obtained will form an AP. If the second term of thia AP is decreased by 16 ,a GP will be formed again. Determine the no.s.

If number x is 20% less than another number y and y is 40% more than 100, then find out the value of x.

In a zoo, the ratio of the number of lions to the number of zebras is 1 : 3. If the number of lions is 30, then find the number of zebras.90

Two pipes A and B can fill a cistern in 3712 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:

In the given figure, compute the area of quadrilateral ABCD.

If f(x)=x2+1 and g(x)=x2−1, then what is the value of f[g{h(x)}]? Given, h(x)=1555∑x=1[f(x)+g(x)]

If Alisha finds that she is twelfth from the right in a line of girls and fourth from the left, how many girls should be added to the line such that there are 28 girls in the line?

Step IV of an input is:89 bastion 75 chopper 19 39 horseplayer diagram Which of the following is definitely the input?

Find the total number of numbers that can be formed by using all the digits 1,2,3,4,3,2,1 so that the odd digits always occupy the odd places.

Directions (Qs. 1– 2) : Answer the questions based on the following information. What is the value of the loans in 1980 at 1983 prices?

Write 271 as the sum of positive real numbers so as to maximize their product.

If M % N means M is the father of N; M &amp; N means M is the mother of N; M $ N means M is the brother N; and M ~ N means M is the sister of N, which of the following shows that A is the maternal uncle of B?

The ratio between a two digit number and sum of its digits is a:b. If the digit in the units place is n more than the digit in the tens place then find the number in terms of n, a, b

Find the value of x and y by reducing the given equation to linear form and thensolving algebraically.2/x-3/y=4/7 and 5/x+7/y=7/2

sin−1{√1+x+√1−x2}

A man starts from L to M, another from M to L at the same time. After passing each other, they complete their journey in 313 and 445hr respectively. Find the speed of the second man if the speed of the first is 24km/hrundefinedundefinedundefinedundefined

44. The area of cyclic quadrilateral ABCD with sides AB = 18 cm, BC= 10cm, CD= 14cm, DA= 10cm is equal to

Let p and q be two positive number such that p+q=2 and p4+q4=272. Then p and q are roots of the equation:

If centroid of triangle formed by (t,t2),(−t2,−2t) and (3,4) is incentre of the triangle formed by the points (0,0),(3,0) and (0,4). Then number of solutions of the equation cos2θ+5cosθ=2t in (0,2π) is

Number of diagonals in a hexagon is___

Let ABC be a right triangle in which AB=6cm, BC=8cm and angleB=90degree, BD is perpendicular from B to AC. the circle through BCD is drawn . Construct the tangents from A to the circle.

Question 13How many three-digit numbers are divisible by 7?

On circles O is the centre of the circle .in the given figure OA=OB=OC Then prove that Angle x+angle y=2(angle z+angle t)

If two teams from each group qualify for the third round then what is the minimum points of the team from group A which qualifies?

The salaries of A, B and C are in the ratio 2:3:4. If the salaries are increased by 10%, 20% and 30% respectively, then the increased salaries will be in the ratio

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 15cm, 8cm and 7cm. Find the area of the triangle.

If 215 is divided by 13, the remainder is ___________.

Prove that there is no natural number for which 4^n ends with digit zero

If an isosceles right triangle has area 8 cm2 then the length of its hypotenuse is(a) √32 cm(b) √48 cm(c) √24 cm(d) √4 cm

How many arcseconds are in 1∘?

If a = b2p, b = c2q and c = a2r, then pqr =?

How many numbers lie between 100 and 10000 which when successively divided by 7, 11 and 13 leaves the respective remainders of 5, 6 and 7? ___

Find the remainder when 4001000 is divided by 17?

If M % N means M is the father of N; M & N means M is the mother of N; M $ N means M is the brother N; and M ~ N means M is the sister of N, which of the following shows that A is the maternal uncle of B?