8677 + Interview Questions in Maths in Class 14 Page 3 InterviewSolution

101.	If HCF and LCM of two number are 17 and 408 How many numbers are possible for such type ?
Answer» ANSWER :`=24`

Discussion

102.	Three friends, P, Q and R started a partnership business investing money in the ratio of 5 : 4 : 2 respectively for a period of 3 years. What is the amount received by P as his share in the total profit ?a. Total amount invested in the business in Rs. 22,000.b. Profit earned at the end of 3 years is 3/8 of the total investment.c. The average amount of profit earned per year is Rs. 2750.
Answer» A) Only c is sufficient B) Both a & b are sufficient C) Both A & B GIVES result D) None Answer :1KM

Discussion

103.	Area of a rhombus is144 cm^(2) and the ratio of length of two diagonals is 1:2. The sum of lengths of its diagonals are :
Answer» 72 CM 40 cm 36 cm `18 sqrt2 cm` Answer :C

Discussion

104.	Rs. 1720 to be paid in 4 equal installments in 4 years. Find each intallment if rate of interest is 5% per annum.
Answer» ANSWER :RS 400

Discussion

105.	For the non negativereal x, such that xge-11 what is the minimium and maximum value of y, wherey=x^2+12x+27?
Answer» `-9,16` `9,27` 0,27 none of these Answer :B

Discussion

106.	Find max^(m)&min^(m) value of 27^(sinx).81^(cosx)
Answer» ANSWER :`(1)/(243)`

Discussion

107.	p^2-42p-343=0 16/sqrtq+9/sqrtq=5sqrtq
Answer» `pltq` `pgtq` `pleq` `plt/gtq`

Discussion

108.	Simplify:- 3/11 of 5/7 of (?) = 63
Answer» a. 3134 b. 312.4 C. 3100 d. 323.4 Answer :C

Discussion

109.	Q lent out a certain amount at 6% per annum for 2 years and another at 7% per annum for the same time and after the completion of the period. He got Rs 2478 as interest. If one-fourth of the first amount is equal to the one-fifth of the second amount. Find the total amount he lent out.
Answer» RS 19900 Rs 19100 Rs 18900 Rs 18100 Answer :0.1

Discussion

110.	The ratio of the income of Anil and Mukesh is 2:3. The sum of their expenditure is Rs. 8000 and the amount of savings of Anil is equal to the amount of expenditure of Mukesh. What is the sum of their savings
Answer» 22000 4000 16000 12000 Answer :D

Discussion

111.	Area of rhombus is 256 cm^2. One of the diagonal is half of the other diagonal. The sum of the diagonals is :
Answer» 38 cm 48 cm 28 cm 56 cm Answer :B

Discussion

112.	There are four calculators and it is known it is known that exactly two of them are defective. They are tested one by one , in a random order till both the defective calculators are identified. Then the probability that only two tests are required is :
Answer» `5/6` `1/2` `1/6` `1/3` ANSWER :C

Discussion

113.	Sarvesh Verma has 3 mobile wallets- PayPal, PayTM and PayU-installed in his smartphone. Initially, he has only ₹ 100 in PayPal wallet and other two wallets have nothing. He can transfer his money from one wallet to any other wallet without any transaction charges or any incentives. One day, he performes seven online transactions, and in every transaction he empties his one wallet completely into another wallet. After seven transaction he has rs 100 in PayPal wallet. During this procedure neither he pays any amount to nor receives any amount from any third party by any means. In how many different ways can he make these transactions?
Answer» 14 21 42 49 Answer :C

Discussion

114.	Solve the following expressions . 3^(x - 1) + 3^(x + 1) = 90 then x= ?
Answer» ANSWER :`3`

Discussion

115.	Two pipes can fill a tank in 10 h and 16 h respectively. A third pipe can empty the tank in 32 h. If all the three pipes function simultaneously, then in how much time the tank will be full? (in hours)
Answer» `7 11/21` `7 13/21` `8 4/21` `6 5/14` Solution :10 HR A pipe `rarr 1` 16 hr B pipe `rarr 1` 32 hr C pipe `rarr 1` `1/10 + 1/16 - 1/32 = 21/160` `160/21 = 7 13/21 `hr Alternate Solution: Working together in 1 hour, they fill- `(16 +10 -5)` UNITS = 21 units `THEREFORE` Total time required `= 160/21 = 7 13/21` hours.

Discussion

116.	In what time would 5400 at 8% per annum yield the same interest as 2400 at 9% per annum in 4 years ?
Answer» 2 4 6 8 Answer :C

Discussion

117.	Find the value of log m + logm^(2) + log m^(3) +……. + log m^(n):
Answer» `(N(n+1))/2` `(MN)/2` `(n(n+1))/2log_m` `n(n+1)logm^2` ANSWER :C

Discussion

118.	Fresh fruit contains68% water and dry fruit contains 20% water. How much dry fruit can beobtained. From 100 kg of fresh fruit?32\ kgb. 40\ kgc. 52\ kgd. 80\ kg
Answer» ANSWER :22 KG

Discussion

119.	If the nth term of an A.P. is 4n-1 , find the 30th term and the sum of first 30 terms.
Answer» 119 and 1830 69 and 1665 119 and 1380 none of these Answer :A

Discussion

120.	If a+b+c=24, then the maximum value of abc is :
Answer» 215 512 125 576 Solution :abc can be maximum only when a=b=c for a GIVEN sum a+b+c=24, `(abc)_max=(8xx8xx8)`=512 . Since,(a=b=c)

Discussion

121.	A person bought some articles at rate of 6 for Rs 5 and sold them at the rate of 5 for Rs 6. Find the profit or loss percent?
Answer» ANSWER :0.44

Discussion

122.	If D be the discriminant of the quadratic equationax^2+bx+c=0 what will be the coordinates of its vertex?
Answer» `-b//2a,-D//4a` `-b//2a,D//4a` `b//2a,-D//2a` `b//2a,sqrtD//4a` ANSWER :A

Discussion

123.	Between 2 O'clock and 3 O'clock when two hands of a clock overlap each other?
Answer» ANSWER :`2:10:54`

Discussion

124.	ABCD is a cyclic trapezium & ABII CD, ABis diameter. BC = 2cm, AB = 8 cm, CD = ?
Answer» ANSWER :CD = 7 CM

Discussion

125.	A solid metal ball of diameter 16 cm is melted and cast into smaller balls, each of radius 1 cm. The number of such balls is :
Answer» 256 2048 512 4096 Answer :C

Discussion

126.	A person goes from point P to point Q covergin 1/3 of the distance with speed 10km/hr, the next 1/3 of the distance at 20 km/hr and the last 1/3 of the distance at 60 km/hr. The average speed of the person is
Answer» 15 km/hr 18 km/hr 25 km/hr 30 km/hr Solution :SINCE all the three distances are same , hence the average SPEED=`(3xx10xx20xx60)/(200+1200+600)`=18km/hr

Discussion

127.	Find the 7th term of the series -1/8 +1/4 - 1/2 + 1… :
Answer» 8 -16 -8 none of these Answer :C

Discussion

128.	Larry has along weekend off for 4 days that starts from Thursday and lasts till Sunday. She wants to attend some spiritual enrichment sessions that are held every day for four hours. In how many ways can she attend one or more sessions during this long weekend ?
Answer» A) 15 B) 16 C) 4 D) `4 XX ^4C_1` ANSWER :A

Discussion

129.	There were two candidates in an election. 75% of voters cast their votes, out of which 2% of the votes were found invalid. A candidate got 9261 votes which were 75% of total valid votes. Find the total number of voters enrolled.
Answer» ANSWER :16800

Discussion

130.	A library has an average number of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 day beginning with Sunday is :
Answer» ANSWER :285

Discussion

131.	Present age of Karan is 5 times the age of Shivam. After 10yr, Karan will be 3 times as old as Shivam. What are the present ages of Karan and Shivam?
Answer» ANSWER :10 YR

Discussion

132.	If a + 1/a = 3, then the value of a^3 + 1/(a^3) is :
Answer» 15 18 27 none of these Answer :B

Discussion

133.	What should come in place of the question mark (? ) in the following questions ? (6)^(2)+ 8^(2) x (2)^(2)-(9)^2 = ?
Answer» 215 209 221 211 Answer :D

Discussion

134.	20% profit is made when a discount of 20% is given on the marked price. When the discount is 30% profit will be
Answer» 0.04 0.05 0.06 0.075 Answer :B

Discussion

135.	In a plane there are 37 straight lines, of which 13 pass through the point A and 11 pass through the point B. Besides, no three lines pass through one point, no line passes through both points A and B, and no two are parallel. Find the number of points of intersection of the straight lines.
Answer» 535 525 235 355 Answer :A

Discussion

136.	If the numerator of a fraction be increased by 20%and its denominator is decreased by 5% , The fraction becomes (5)/(2) .Find the original fraction.
Answer» ANSWER :`(95)/(48)`

Discussion

137.	A trader marked a watch 40%above the cost price and then gave a discount of 10% . He made a net profit of Rs. 468 after paying a tax of 10%on the gross profit. What is the cost price of the watch?
Answer» RS .1200 Rs.1800 Rs.2000 Rs.2340 Answer :C

Discussion

138.	Price of an article is reduced by K%and the reduced price is increased by K% . If present price is (P)/(100)then find out theinitialprice .
Answer» ANSWER :`(100P)/(10000-K^(2))`

Discussion

139.	O is the centre on the circle. PA and PB are tangent segments. Then the quadrilateral AOBP is :
Answer» RECTANGLE SQUARE CYCLIC NONE of these Answer :C

Discussion

140.	The price of raw materials has gone up by 15% , labour cost has also increased from 25% of the cost of raw material to 30%of the cost of raw material. By how much percentage should there be reduction in the usage of raw materials so as to keep the cost same
Answer» ANSWER :`17%`

Discussion

141.	A, B and C walk 1 km in 5 min, 8 min and 10 min, respectively. C starts walking from a point at a certain time, B starts from the same point 1 min later and A starts from the same point 2 min later than C Then, A meetBand C at times
Answer» 2 min , 3MIN `4/3` min , 3 min `2 ` min , ` 5/3` min 1 min , 2 min Answer :C

Discussion

142.	A certain sum of money at compound interest grows up to Rs 12960 in 2 years and up to Rs. 13176 in 3 years. Find the rate of interest per annum.
Answer» ANSWER :`1(2)/(3)%`

Discussion

143.	The number of ways in which an examiner can assign 50 marks to 10 questions giving not less than 3 marks to any question is :
Answer» `"^(29)C_9` `"^(47)C_3` `"^(52)C_2` `"^(40)C_(10)` Answer :A

Discussion

144.	Ina 1600 m race A beats B by 80 m and C by 60 m if they run at the same time then by what distance will C beat B in a 400 m race?
Answer» 5(15/77)m 5(20/76) 15(5/77)m none of these Answer :A

Discussion

145.	If ""^(13)C_(X) = ""^(13)C_(Y) and XneY , then the value of X+Y is
Answer» 6 7 13 26 Answer :C

Discussion

146.	What is the area of the right angled triangle? I. I. Base of the triangle is X cm II. Height of the triangle is Y cm III. Hypotenuse of the triangle is Z cm
Answer» I and II Only II II and III Any TWO of three Answer :D

Discussion

147.	Ifsqrt(3x^(2)-12x + 19) + sqrt(3x^(2)-12x-11)= 16 then find sqrt(3x^(2)-12x + 19) - sqrt(3x^(2) -12x-11)= ?
Answer»

Discussion

148.	If (a-2)^(2) + (b-3)^(2) + (c-11)^(2)=0 find sqrt(a+b+c)=?
Answer» 4 `-4` `+- 4` 16 Answer :D

Discussion

149.	The value of (log_(3)81) is:
Answer» 0 1 2 6 Answer :C

Discussion

150.	Find the value of (2^(1//4)- 1) (2^(3//4) + 2^(1//2) +2^(1//4) +1)
Answer» 1 2 `-1` NONE of these Answer :A

Discussion

Explore topic-wise InterviewSolutions in .

If HCF and LCM of two number are 17 and 408 How many numbers are possible for such type ?

Area of a rhombus is144 cm^(2) and the ratio of length of two diagonals is 1:2. The sum of lengths of its diagonals are :

Rs. 1720 to be paid in 4 equal installments in 4 years. Find each intallment if rate of interest is 5% per annum.

For the non negativereal x, such that xge-11 what is the minimium and maximum value of y, wherey=x^2+12x+27?

Find max^(m)&min^(m) value of 27^(sinx).81^(cosx)

p^2-42p-343=0 16/sqrtq+9/sqrtq=5sqrtq

Simplify:- 3/11 of 5/7 of (?) = 63

Q lent out a certain amount at 6% per annum for 2 years and another at 7% per annum for the same time and after the completion of the period. He got Rs 2478 as interest. If one-fourth of the first amount is equal to the one-fifth of the second amount. Find the total amount he lent out.

The ratio of the income of Anil and Mukesh is 2:3. The sum of their expenditure is Rs. 8000 and the amount of savings of Anil is equal to the amount of expenditure of Mukesh. What is the sum of their savings

Area of rhombus is 256 cm^2. One of the diagonal is half of the other diagonal. The sum of the diagonals is :

There are four calculators and it is known it is known that exactly two of them are defective. They are tested one by one , in a random order till both the defective calculators are identified. Then the probability that only two tests are required is :

Solve the following expressions . 3^(x - 1) + 3^(x + 1) = 90 then x= ?

Two pipes can fill a tank in 10 h and 16 h respectively. A third pipe can empty the tank in 32 h. If all the three pipes function simultaneously, then in how much time the tank will be full? (in hours)

In what time would 5400 at 8% per annum yield the same interest as 2400 at 9% per annum in 4 years ?

Find the value of log m + logm^(2) + log m^(3) +……. + log m^(n):

Fresh fruit contains68% water and dry fruit contains 20% water. How much dry fruit can beobtained. From 100 kg of fresh fruit?32\ kgb. 40\ kgc. 52\ kgd. 80\ kg

If the nth term of an A.P. is 4n-1 , find the 30th term and the sum of first 30 terms.

If a+b+c=24, then the maximum value of abc is :

A person bought some articles at rate of 6 for Rs 5 and sold them at the rate of 5 for Rs 6. Find the profit or loss percent?

If D be the discriminant of the quadratic equationax^2+bx+c=0 what will be the coordinates of its vertex?

Between 2 O'clock and 3 O'clock when two hands of a clock overlap each other?

ABCD is a cyclic trapezium & ABII CD, ABis diameter. BC = 2cm, AB = 8 cm, CD = ?

A solid metal ball of diameter 16 cm is melted and cast into smaller balls, each of radius 1 cm. The number of such balls is :

A person goes from point P to point Q covergin 1/3 of the distance with speed 10km/hr, the next 1/3 of the distance at 20 km/hr and the last 1/3 of the distance at 60 km/hr. The average speed of the person is

Find the 7th term of the series -1/8 +1/4 - 1/2 + 1… :

Larry has along weekend off for 4 days that starts from Thursday and lasts till Sunday. She wants to attend some spiritual enrichment sessions that are held every day for four hours. In how many ways can she attend one or more sessions during this long weekend ?

There were two candidates in an election. 75% of voters cast their votes, out of which 2% of the votes were found invalid. A candidate got 9261 votes which were 75% of total valid votes. Find the total number of voters enrolled.

A library has an average number of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 day beginning with Sunday is :

Present age of Karan is 5 times the age of Shivam. After 10yr, Karan will be 3 times as old as Shivam. What are the present ages of Karan and Shivam?

If a + 1/a = 3, then the value of a^3 + 1/(a^3) is :

What should come in place of the question mark (? ) in the following questions ? (6)^(2)+ 8^(2) x (2)^(2)-(9)^2 = ?

20% profit is made when a discount of 20% is given on the marked price. When the discount is 30% profit will be

In a plane there are 37 straight lines, of which 13 pass through the point A and 11 pass through the point B. Besides, no three lines pass through one point, no line passes through both points A and B, and no two are parallel. Find the number of points of intersection of the straight lines.

If the numerator of a fraction be increased by 20%and its denominator is decreased by 5% , The fraction becomes (5)/(2) .Find the original fraction.

A trader marked a watch 40%above the cost price and then gave a discount of 10% . He made a net profit of Rs. 468 after paying a tax of 10%on the gross profit. What is the cost price of the watch?

Price of an article is reduced by K%and the reduced price is increased by K% . If present price is (P)/(100)then find out theinitialprice .

O is the centre on the circle. PA and PB are tangent segments. Then the quadrilateral AOBP is :

The price of raw materials has gone up by 15% , labour cost has also increased from 25% of the cost of raw material to 30%of the cost of raw material. By how much percentage should there be reduction in the usage of raw materials so as to keep the cost same

A, B and C walk 1 km in 5 min, 8 min and 10 min, respectively. C starts walking from a point at a certain time, B starts from the same point 1 min later and A starts from the same point 2 min later than C Then, A meetBand C at times

A certain sum of money at compound interest grows up to Rs 12960 in 2 years and up to Rs. 13176 in 3 years. Find the rate of interest per annum.

The number of ways in which an examiner can assign 50 marks to 10 questions giving not less than 3 marks to any question is :

Ina 1600 m race A beats B by 80 m and C by 60 m if they run at the same time then by what distance will C beat B in a 400 m race?

If ""^(13)C_(X) = ""^(13)C_(Y) and XneY , then the value of X+Y is

What is the area of the right angled triangle? I. I. Base of the triangle is X cm II. Height of the triangle is Y cm III. Hypotenuse of the triangle is Z cm

Ifsqrt(3x^(2)-12x + 19) + sqrt(3x^(2)-12x-11)= 16 then find sqrt(3x^(2)-12x + 19) - sqrt(3x^(2) -12x-11)= ?

If (a-2)^(2) + (b-3)^(2) + (c-11)^(2)=0 find sqrt(a+b+c)=?

The value of (log_(3)81) is:

Find the value of (2^(1//4)- 1) (2^(3//4) + 2^(1//2) +2^(1//4) +1)