8677 + Interview Questions in Maths in Class 14 Page 142 InterviewSolution

7051.	A person saves 6%of income. After 2 years his income is increased by 15%but his savings remain the same. Find the percentage increase in his expenditure
Answer» `15.95%` `15%` `14.8%` `15.5%` ANSWER :A

Discussion

7052.	There are 3 pots and 4 coins. All these coins are to be distributed into these pots where any pot can contain any number of coins. In how many ways all these coins can be distributed if all coins are identical and two pots are also identical?
Answer» 2 10 9 11 Answer :C

Discussion

7053.	A sum of ₹ 550 was taken as a loan. This is to be paid back in two equal annual instalments. If the rate of interest be 20% compounded annually, then the value of each instalments is:
Answer» 300 360 25 none of these Answer :B

Discussion

7054.	Two right triangles ABC and DBC are drawn on the same hypotenues BC on the same side of BC. If AC and DB intersects at P, then :
Answer» `(AP)/(PC)=(BP)/(DP)` `APxxDP=PCxxBP` `APxxPC=BPxxDP` `APxxBP=PCxxPD` Answer :C

Discussion

7055.	A cylinder with height and radius 2:1 is filled with soft drink and then it is titled so as to allow some soft drink to flow off to an extent where the level of soft drink just touches the lowestpoint of the upper mouth . If the 2.1 L soft drink is retained in the cylinder , what is the capacity of the cylinder ?
Answer» 3.6 L 4 L 1.2 L 4.2 L Answer :D

Discussion

7056.	A cylinder with height and radius 2:1 is filled with soft drink and then it is titled so as to allow some soft drink to flow off to an extent where the level of soft drink just touches the lowestpoint of the upper mouth . If the quantity of soft drink left is poured into a conical flask whose heightsand base radius are same as that of the cylinder so as to fill the conical flask completely , the quantity of soft drink left in the cylinder as a fraction of its total capacity is :
Answer» `1/3` `1/6` `1/9` `1/10` ANSWER :B

Discussion

7057.	thereare 3 potsand 4 coins .Allthesecoinsare tobe distributedintothesepotswhereanypot cancontain any numberof coins . Inhowmany ways all thesecoinscan bedistributed if allcoinsare differentbut all potsareidentical ?
Answer» `3^4` `4^3` `"^3P_4` `"^4P_3` ANSWER :A

Discussion

7058.	Find the area of the triangle formed by the straight lines whose equations are2y+x−5=0,y+2x−7=0, and x−y+1=0.
Answer» `3/10` 10 6 `2/5` ANSWER :A

Discussion

7059.	Let a ,b , cbe the real numbers. The following system of equations in x ,y ,a n dz(x^2)/(a^2)+(y^2)/(b^2)-(z^2)/(a^2)=1,(x^2)/(a^2)-(y^2)/(b^2)+(z^2)/(a^2)=1,-(x^2)/(a^2)+(y^2)/(b^2)+(z^2)/(a^2)=1hasa. no solution b. uniquesolutionc. infinitely many solutionsd. finitely many solutions
Answer» no solution unique solution infinetly MANY solutions finitely many solutions Answer :D

Discussion

7060.	How many 10 digits numbers can be formed by using the digits 2 and 3?
Answer» `2^(10)` `10^2` `10!` noneofthese Answer :A

Discussion

7061.	The sum of n terms of the series (1)/(sqrt(1) + sqrt3) + 1/(sqrt3 + sqrt5) + 1/(sqrt5 +sqrt7) + … is :
Answer» only (IV) and (V) only (i), (III) and (iv) only (II) and (iii) only (i), (ii), (iii) and (v) ANSWER :D

Discussion

7062.	A two digit number is five times the sum if its digits. If 9 is added to the number, the digits interchange their positions. The sum of digits of the numbers is :
Answer» 11 9 7 6 Answer :B

Discussion

7063.	An article is sold for Rs. 1980 at 10% profit. What is the cost price?
Answer» ₹ 198 ₹ 1800 ₹ 1900 ₹ 1600 Answer :B

Discussion

7064.	I 1,log_9(3^(1-x)+2), log_3(4.3^x-1) are in A.P. then x equals (A) log_34 (B) 1-log_43 (C) 1-log_34 (D) log_4 3
Answer» `log_4 3` `log_3 4` `1-log_3 4` `log_3 (1/4)` ANSWER :C

Discussion

7065.	For what value of x, (14)C_x is maximum ?
Answer» 5 6 7 8 Answer :C

Discussion

7066.	Find the length of the tangent to a circle with centreO and radius3cm from a pointP such that OP=5cm?
Answer» 7 4 8 1 Answer :D

Discussion

7067.	The value of (log_(2)8 + log_(3)9 + log_(5) 25) is:
Answer» 5 6 7 none of these ANSWER :C

Discussion

7068.	AB and CD are two parallel lines. PQ cuts AB and CD at E and F respectively. EL is the bisector of angle BEF. If angle LEB=35^@ ,then angle CFQ will be :
Answer» `70^@` `55^@` `110^@` `125^@` ANSWER :C

Discussion

7069.	A, B and C subscribes ₹ 47000 for a business. If A subscribes ₹ 7000 more than B and B ₹ 5000 more than C , then out of profit of ₹ 4700, C receives:
Answer» ₹ 1200 ₹ 4500 ₹ 1000 none of the above Answer :C

Discussion

7070.	Rs. 9 is to be paid in 10 monthly installment. Find Rate of interest if each installment is of Rs. 1 .
Answer» ANSWER :`26(2)/(3)%`

Discussion

7071.	If x+ y+ z= 2s find (s-x)^(3) + (s-y)^(3) + 3(s-x) (s-y) z= ?
Answer» `z^(3)` `-z^(3)` 0 `2z^(3)` Answer :C

Discussion

7072.	A rabit takes 22 leaps for every 17 leaps of cat and 22 leaps of a rabit are equal to 17 leaps of the cat. What is the ratio of the speeds of rabit and cat?
Answer» 0.042361111111111 484:289 0.72361111111111 none of these Answer :A

Discussion

7073.	In three alloys A, B and C the percentage of copper is 80%, 75% and 70% respectively and the percentageof tin is 15%, 15% and 25% respectively and the remaining is nickel. If 10 kg, 15 kg and 50 kg of the three alloys be mixed together, find the ratio of copper, tin and nickel in the mixture thus obtained.
Answer» ANSWER :`217 : 65 :18`

Discussion

7074.	Four dice are rolled. The number of possible outcomes in which atleast one die shows 4 is :
Answer» 671 168 176 none of these Answer :A

Discussion

7075.	Simplify:- 6/5 of 3/4 of 1/2 of ? = 3600
Answer» a. 6000 b. 7000 c. 8000 d. 18000 Answer :A

Discussion

7076.	In how many ways can the letters of the word STRANGE be arranged so that the vowels may appear in the odd places?
Answer» 720 1092 1440 1772 Answer :C

Discussion

7077.	There are four numbers such that the first three of them form an Arithmetic Progression and the last three form a Geometric Progression. The sum of the first and the third is 2. and that of second and fourth is 26. What is the sum of first and fourth number ?
Answer» a)`85(13)/(25)` b)`25(73)/(85)` c)83 d)NONE of these Answer :D

Discussion

7078.	If the average marks of the 1/4th class is 85% and that of 1/3rd class is 70% and the average marks of the rest class is 56% then the average of the whole class is (for the given subjects):
Answer» 0.67916 0.7233 0.69165 can't be determined Answer :A

Discussion

7079.	Number of roots of the equation 3^2.x^2-7x+7= 9 is
Answer» a. 1 B. 2 c. 3 d. 4 Answer :B

Discussion

7080.	Two trains A and B start from Howrah and Patna towards Patna and Howrah respectively at the same time. After passing each other,they take 4,h, 48 min and 3 h,20 min to reach Patna and Howrah,respectively. If the train from Howrah is moving at 45 km/h, then the speed of the other train is
Answer» 60 km/h 45 km/h 35 km/h 54 km/h ANSWER :D

Discussion

7081.	Some quantity of rice is required for each member of a family of 15 members. On a particular day, due to the absence of some members of the family, the consumption of rice was reduced in the ratio 5 : 3. Find the number of members absent on that day.
Answer» 3 6 8 9 Answer :B

Discussion

7082.	Find the equation of one of the two line which pass through the point (4,5) which make an acute angle 45^@ with the line 2x-y +7=0:
Answer» a. x-2y =0 b. 7x+5y -3=0 c. 3x+y +8 =0 d. x-3y +11 =0 Answer :D

Discussion

7083.	An 85 m long rod is divided into two parts. if one part is (2)/(3) of the other part, then the shorter part (in metres) is:
Answer» 34 `56(2)/(3)` 85 51 Answer :D

Discussion

7084.	ABCD is a parallelogram and M is the mid point of BC. AB and DM are produced to meet at N, then :
Answer» A)`AN=sqrt3AB` B)`AN=2AB` C)`AN^(2)=(3)/(2)AB^(2)` D)`AN^(2)=2AB^(2)` Answer :B

Discussion

7085.	If (a)/(x-1) + (4b)/(y-2b) + (9c)/(z-3c)= 6-a find (ax)/(x-1) + (2y)/(y-2b) + (3z)/(z-3c)= ?
Answer» ANSWER :11

Discussion

7086.	In the third quadrant, the values of sintheta and costheta are:
Answer» POSITIVE and NEGATIVE respectively negative and positive respectively both positive both negative Answer :D

Discussion

7087.	The number of two digit numbers which are prime :
Answer» 25 23 21 cat't be determined Answer :C

Discussion

7088.	Find the value of k, if 15!=1k07674368000
Answer» 0 3 2 1 Answer :B

Discussion

7089.	A shopkeeper sells a table at a discount of 20% and earns a profit of 60%. If he sells the same table at 40% discount, then what will be his new profit per cent ?
Answer» 20 30 35 40 Answer :A

Discussion

7090.	If side of an equilateral triangle is increased by 2 units , then the area is increased by 3+sqrt3 square units. Find the side of this equilateral triangle.
Answer» ANSWER :`SQRT3`

Discussion

7091.	Find the value of x :- 4 4/5 ÷ 6 2/5 =x.
Answer» a. 3/4 b. 5/7 c. 7/11 d. 5/8 Answer :A

Discussion

7092.	Radhey Lal markup the prices of sweets by 40% and he sold only 40% of those at this price. He sells half of the rest at 14 2/7% discount and rest at 25% discount. What is the net profit of Radhey Lal?
Answer» `26.5%` `23.5%` `30%` `28.6%` ANSWER :B

Discussion

7093.	If d is the HCF of a and b, then d = lambda a + mu b where :
Answer» `LAMBDA` and `mu` are uniquely determined `lambda` and `mu` are both POSITIVE . `lambda` and `mu` are both NEGATIVE one of the `lambda` and `mu` is negative and the other is positive ANSWER :A

Discussion

7094.	P took Rs. 7500 loan at a certain rate of simple interest per annum and Rs. 4500 at 1% more. After three years he paid 1575 as simple interest. Find at what rate did he take Rs 4500 loan ?
Answer» `6(1)/(4)%` `6(2)/(3)%` `%` `5.5%` ANSWER :RS. 600

Discussion

7095.	Abhinav scores 80% in Physics and 66% in Chemistry and the maximum marks of both the papers are 100 . What percent does the score in maths which is of 200 marks, if he scores80% marks in all the three subjects?
Answer» `74%` `84%` `87%` `83%` ANSWER :C

Discussion

7096.	Solve the following expression : 3/55 +9/88
Answer»

Discussion

7097.	If alpha is a positive acute angle and 2sin alpha+15cos^(2)alpha=7, then the value of cotalpha is
Answer» `(3)/(4)` `(2)/(3)` `(SQRT(5))/(2)` `(2)/(sqrt(5))` Answer :C::D

Discussion

7098.	If a, b, c are in H.P. , then (b+a)/(b-a)+(b+c)/(b-c)
Answer» 1 2 B-c/a-b ab/c Answer :B

Discussion

7099.	The value of sqrt(((0.03)^(2) + (0.21)^(2) + (0.065)^(2))/((0.003)^(2) + (0.021)^(2) + (0.0065)^(2)))
Answer» `2.8` 5 `10^(2)` `5^(2)` ANSWER :B

Discussion

7100.	If a, b, c belong to R, and equations x^2+2x+9=0 and ax^2+bx+c=0 have a common root, then a: b: c is
Answer» `1:2:9` `2:1:7` `1:3:9` `1:2:4` ANSWER :A

Discussion

Explore topic-wise InterviewSolutions in .

A person saves 6%of income. After 2 years his income is increased by 15%but his savings remain the same. Find the percentage increase in his expenditure

There are 3 pots and 4 coins. All these coins are to be distributed into these pots where any pot can contain any number of coins. In how many ways all these coins can be distributed if all coins are identical and two pots are also identical?

A sum of ₹ 550 was taken as a loan. This is to be paid back in two equal annual instalments. If the rate of interest be 20% compounded annually, then the value of each instalments is:

Two right triangles ABC and DBC are drawn on the same hypotenues BC on the same side of BC. If AC and DB intersects at P, then :

thereare 3 potsand 4 coins .Allthesecoinsare tobe distributedintothesepotswhereanypot cancontain any numberof coins . Inhowmany ways all thesecoinscan bedistributed if allcoinsare differentbut all potsareidentical ?

Find the area of the triangle formed by the straight lines whose equations are2y+x−5=0,y+2x−7=0, and x−y+1=0.

Let a ,b , cbe the real numbers. The following system of equations in x ,y ,a n dz(x^2)/(a^2)+(y^2)/(b^2)-(z^2)/(a^2)=1,(x^2)/(a^2)-(y^2)/(b^2)+(z^2)/(a^2)=1,-(x^2)/(a^2)+(y^2)/(b^2)+(z^2)/(a^2)=1hasa. no solution b. uniquesolutionc. infinitely many solutionsd. finitely many solutions

How many 10 digits numbers can be formed by using the digits 2 and 3?

The sum of n terms of the series (1)/(sqrt(1) + sqrt3) + 1/(sqrt3 + sqrt5) + 1/(sqrt5 +sqrt7) + … is :

A two digit number is five times the sum if its digits. If 9 is added to the number, the digits interchange their positions. The sum of digits of the numbers is :

An article is sold for Rs. 1980 at 10% profit. What is the cost price?

I 1,log_9(3^(1-x)+2), log_3(4.3^x-1) are in A.P. then x equals (A) log_34 (B) 1-log_43 (C) 1-log_34 (D) log_4 3

For what value of x, (14)C_x is maximum ?

Find the length of the tangent to a circle with centreO and radius3cm from a pointP such that OP=5cm?

The value of (log_(2)8 + log_(3)9 + log_(5) 25) is:

AB and CD are two parallel lines. PQ cuts AB and CD at E and F respectively. EL is the bisector of angle BEF. If angle LEB=35^@ ,then angle CFQ will be :

A, B and C subscribes ₹ 47000 for a business. If A subscribes ₹ 7000 more than B and B ₹ 5000 more than C , then out of profit of ₹ 4700, C receives:

Rs. 9 is to be paid in 10 monthly installment. Find Rate of interest if each installment is of Rs. 1 .

If x+ y+ z= 2s find (s-x)^(3) + (s-y)^(3) + 3(s-x) (s-y) z= ?

A rabit takes 22 leaps for every 17 leaps of cat and 22 leaps of a rabit are equal to 17 leaps of the cat. What is the ratio of the speeds of rabit and cat?

Four dice are rolled. The number of possible outcomes in which atleast one die shows 4 is :

Simplify:- 6/5 of 3/4 of 1/2 of ? = 3600

In how many ways can the letters of the word STRANGE be arranged so that the vowels may appear in the odd places?

There are four numbers such that the first three of them form an Arithmetic Progression and the last three form a Geometric Progression. The sum of the first and the third is 2. and that of second and fourth is 26. What is the sum of first and fourth number ?

If the average marks of the 1/4th class is 85% and that of 1/3rd class is 70% and the average marks of the rest class is 56% then the average of the whole class is (for the given subjects):

Number of roots of the equation 3^2.x^2-7x+7= 9 is

Two trains A and B start from Howrah and Patna towards Patna and Howrah respectively at the same time. After passing each other,they take 4,h, 48 min and 3 h,20 min to reach Patna and Howrah,respectively. If the train from Howrah is moving at 45 km/h, then the speed of the other train is

Some quantity of rice is required for each member of a family of 15 members. On a particular day, due to the absence of some members of the family, the consumption of rice was reduced in the ratio 5 : 3. Find the number of members absent on that day.

Find the equation of one of the two line which pass through the point (4,5) which make an acute angle 45^@ with the line 2x-y +7=0:

An 85 m long rod is divided into two parts. if one part is (2)/(3) of the other part, then the shorter part (in metres) is:

ABCD is a parallelogram and M is the mid point of BC. AB and DM are produced to meet at N, then :

If (a)/(x-1) + (4b)/(y-2b) + (9c)/(z-3c)= 6-a find (ax)/(x-1) + (2y)/(y-2b) + (3z)/(z-3c)= ?

In the third quadrant, the values of sintheta and costheta are:

The number of two digit numbers which are prime :

Find the value of k, if 15!=1k07674368000

A shopkeeper sells a table at a discount of 20% and earns a profit of 60%. If he sells the same table at 40% discount, then what will be his new profit per cent ?

If side of an equilateral triangle is increased by 2 units , then the area is increased by 3+sqrt3 square units. Find the side of this equilateral triangle.

Find the value of x :- 4 4/5 ÷ 6 2/5 =x.

Radhey Lal markup the prices of sweets by 40% and he sold only 40% of those at this price. He sells half of the rest at 14 2/7% discount and rest at 25% discount. What is the net profit of Radhey Lal?

If d is the HCF of a and b, then d = lambda a + mu b where :

P took Rs. 7500 loan at a certain rate of simple interest per annum and Rs. 4500 at 1% more. After three years he paid 1575 as simple interest. Find at what rate did he take Rs 4500 loan ?

Abhinav scores 80% in Physics and 66% in Chemistry and the maximum marks of both the papers are 100 . What percent does the score in maths which is of 200 marks, if he scores80% marks in all the three subjects?

Solve the following expression : 3/55 +9/88

If alpha is a positive acute angle and 2sin alpha+15cos^(2)alpha=7, then the value of cotalpha is

If a, b, c are in H.P. , then (b+a)/(b-a)+(b+c)/(b-c)

The value of sqrt(((0.03)^(2) + (0.21)^(2) + (0.065)^(2))/((0.003)^(2) + (0.021)^(2) + (0.0065)^(2)))

If a, b, c belong to R, and equations x^2+2x+9=0 and ax^2+bx+c=0 have a common root, then a: b: c is