8677 + Interview Questions in Maths in Class 14 Page 91 InterviewSolution

4501.	A positive number p is such that (p + 4) is divisible by 7, 'N' being a smallest possible number larger than first prime number, which can make (p + N^2) divisible by 7. The value of N is :
Answer» 3 9 5 7 Answer :C

Discussion

4502.	If 8cos2theta+8sec2theta=65and0^(@)ltthetalt(pi)/(2), then 4cos4theta is equal to
Answer» a) `-(23)/(8)` b) `-(31)/(8)` c) `-(31)/(32)` d) `-(33)/(32)` Answer :A::C

Discussion

4503.	Two types of rice of rate Rs. 11/kg and Rs. 21/kg. Find the ratio of two types of rice to obtain a mixture of rate Rs. 17/kg.
Answer» ANSWER :`2:3`

Discussion

4504.	A 250 m long train is running at 100km/h.In what time,will it pass a man running at 10 km/h in the same direction in which the train is going?
Answer» ANSWER :`=10 s`

Discussion

4505.	Find the number of ways of expressing 36 as a product of two factors.
Answer» SOLUTION :`36 = 2^2xx3^2` NUMBER of factors = (2+1)(2+1) = 9 Hence the no. of ways of expressing 36 as a PRODUCT of two factors `(9+1)/2 = 5`. as `36 = (1xx36) = (2xx18) = (3xx12) = (4xx9) = (6xx6)`

Discussion

4506.	13.00bar5 xx 20 xx 8.4bar23
Answer» SOLUTION :`13 5/900 xx 20 xx 8 (423 - 4)/990 = 13 1/180 xx 20 xx 8 419/990 = 19521599/(9 xx 990) = 2190.9763187`

Discussion

4507.	The remeainder obtained when 1! + 2! + 3! + … +77! is divided by 7 is :
Answer» 0 5 4 can't be determined Answer :B

Discussion

4508.	A train passes two persons who are walking in the direction opposite to the direction of train at the rate of 10 m/s and 20 m/s respectively in 12 s and 10 s, respectively. Find the length of the train.
Answer» a. 500m b. 900m c. 400m d. 600m Answer :D

Discussion

4509.	If varphi = (1 + sqrt5)/2 and the three sides of a triangle are 1, sqrt varphi, varphi, which one of the following statements is true about this triangle ?
Answer» 1.no such TRIANGLE exists 2.itt's a RIGHT ANGLE triangle 3.it's an ISOCELES triangle 4.nothing can be said Answer :B

Discussion

4510.	If the roots of the equation x^2-2ax+a^2+a-3=0are real and less than 3, then :
Answer» `ALT2` `2leale3` `3ltale4` `agt4` ANSWER :A

Discussion

4511.	Find the remainder in expression– (1235 xx 1237 xx 1239)/(12)
Answer» 3 6 11 9 Answer :C

Discussion

4512.	Let S be a sequence of the form [K(1), K(2),....K(m)]. Each term can be defined by the following four functions : P[K(x)]=3Q[K(x)]-4 Q[K(x)]=2R[K(x)]+R[K(2x)] R[K(x)]=S[K(2x)]-S[K(x)] S[K(x)]={{:(0 if xlt0),(3x+4 if 0 le x le 6),(4x+3 if x gt 6):} Also if Q[K(x)]=y then PQ[K(x)]=P[K(y)] What is the value of P[K(3)]?
Answer» 3 5 32 137 Answer :D

Discussion

4513.	Let S be a sequence of the form [K(1), K(2),....K(m)]. Each term can be defined by the following four functions : P[K(x)]=3Q[K(x)]-4 Q[K(x)]=2R[K(x)]+R[K(2x)] R[K(x)]=S[K(2x)]-S[K(x)] S[K(x)]={{:(0 if xlt0),(3x+4 if 0 le x le 6),(4x+3 if x gt 6):} Also if Q[K(x)]=y then PQ[K(x)]=P[K(y)] What is the value of QRS[K(1)]:
Answer» 112 224 448 none of these Answer :C

Discussion

4514.	A person goes 60 km (upstream and downstream) in 10 hours. Time taken to cover 3 km downstream is equal to time taken to cover 2 km upstream. Find the speed of current and speed of boat in still water.
Answer» SOLUTION :N/A

Discussion

4515.	Find the no. of zeros in expression : (8^(253) - 8^(252) - 8^(251))(3^(221) - 3^(220) - 3^(219))
Answer» 1 2 3 0 Answer :B

Discussion

4516.	A, B and C can do a piece of work in 12, 15 and 20 days. How much minimum time should be required to complete this work if more than two persons can not work in a day and in any two consecutive days same pair can not work ?
Answer» `6(2)/(3)` `7(1)/(17)` 8 9 Answer :7 days

Discussion

4517.	In my office there are 30% female employees and 30% of these earn greater than Rs. 8,000 per month and 80% male employees earn less than Rs. 8,000 per month.What could be the minimum percentage of employees who earn less than ₹8000 per month?
Answer» `77%` `14%` `56%` Can't be determined Answer :C

Discussion

4518.	If x = (sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)), then x^3+ 1/x^3 is equal to
Answer» 98 1000 5 970 Answer :D

Discussion

4519.	If cosec^(2)theta+cot^(2)theta=(5)/(7), then find the value of cosec^(4)theta-cot^(4)theta.
Answer» `(5)/(7)` `(7)/(5)` `(1)/(7)` NONE of these Answer :A

Discussion

4520.	The three vertices of a parallelogram taken in a order are (-1,0) , (3,1) and (2,2) respectively. Find the coordinates of the fourth vertex :
Answer» a. (-1,2) B. (-2,1) C. (2,3) d. (3,-2) ANSWER :B

Discussion

4521.	A shopkeeper gives discount of 4% and gives one article free on purchasing 15 ariticles. If he earns profit of 35% then find ratio of C.P. to M.P.
Answer» 3:1 2:3 3:2 4:3 Answer :`2:3`

Discussion

4522.	Find the no. of male students (i.e., boys), if there are 42% male students in the school and the total no. of student in the school is 1000.
Answer» Solution :REQUIRED NUMBER of MALE STUDENTS `=42%of 1000 =42/100 xx 1000 =420`

Discussion

4523.	B and C are equally efficient, but the efficiency of-A is half of each B and C. A and B started a work and 3 days later C joined them. If A alone can do the work in 14 days, then in how many more days the work will be completed?
Answer» 1 2 3 4.5 Answer :A

Discussion

4524.	Ashwin has to travel from one point to another point in a certain time . Travelling at a speed of 6 kmph he reaches 40 m late and travelling at a speed of 8 kmph he reaches 12 m earlier . What is the distance between this two points ?
Answer» 27 km 18 km 5 km 21 km SOLUTION :`(d)/(6) - (40)/(60) = (d)/(8) + (12)/(60)` `(d)/(6) - (d)/(8) = (12)/(60) + (40)/(60)` `(2d)/(48) = (52)/(60)` `D = (52 XX 48)/(60 xx 2) = 20.8` = 21 km

Discussion

4525.	If A and B are divided by D, then the remainder obtained are 13 and 31 respectively where A, B, C are natural numbers. Further A + B is divided by the same divisor D the remainderis 4, then the divisor D is:
Answer» 14 23 40 18 Answer :C

Discussion

4526.	A is twice fast as B is thrice as fast as C.the journey covered by C in 78 minutes will be covered by A in:
Answer» 12 min 13 min 15.5 min none of these Answer :B

Discussion

4527.	(kcosec^(2)30^(@).sec^(2)45)/(8cos^(2)45^(@).sin^(2)60^(@))=tan^(2)60^(@)-tan^(2)30^(@), then k = ?
Answer» 1 `-1` 2 0 Answer :A

Discussion

4528.	Mutiply 185 by 215.
Answer» Solution :STEP 1: 215 - 185 = 30 (here 30 is an even number) Step 2:`30/2=15` Step 3:185 + 15 = 215 - 15 = 200 Step 4:`(200)^2 -(15)^2` = 40000 - 225 = 39775

Discussion

4529.	A train enters into a tunnel AB at A and exits at B. A jackal is sitting at O in another by passing tunnal AOB,which is connected to AB at A and B, where OA is perpendicular to OB. A cat is sitting at P inside the tunnel AB making the shortest possible distance between O and P, such that AO:PB=30:32 When a train before entering into the tunnel AB makes a whistle (or siren) somewhere before A, the jackal and cat run towards A, they meet with accident (with the train) at the entrance A. Further if the cat moves towards B instead of A it again meets with accident at the exit of the tunnel by the same train coming from the same direction. What is the ratio of speed of jackal and cat?
Answer» 1.6666 0.21041666666667 0.042361111111111 can't be determine Answer :B

Discussion

4530.	A train 180 m long taken 20 sec. In crossing a tunnel 460m long. The speed of the train is
Answer» 32 36 28 can't be determine Answer :C

Discussion

4531.	A man purchases a TV for Rs. 8000 and sells it at 10% loss. What is the selling price of T.V?
Answer» Rs.6500 Rs.6900 Rs.7000 Rs.7200 Answer :C

Discussion

4532.	A shopkeeper sold an article for Rs. 2500. If the cost price of the article is 2000, find the profit percent.
Answer» 29% 27% 25% 23% ANSWER :D

Discussion

4533.	A shopkeeper purchases a table and sells it for Rs. 4200. If he incurs a loss of 20%, find the cost price of table.
Answer» Rs.5200 Rs.5052 Rs.5150 Rs.5250 Answer :C

Discussion

4534.	A train enters into a tunnel AB at A and exits at B. A jackal is sitting at O in another by passing tunnal AOB,which is connected to AB at A and B, where OA is perpendicular to OB. A cat is sitting at P inside the tunnel AB making the shortest possible distance between O and P, such that AO:PB=30:32 When a train before entering into the tunnel AB makes a whistle (or siren) somewhere before A, the jackal and cat run towards A, they meet with accident (with the train) at the entrance A. Further if the cat moves towards B instead of A it again meets with accident at the exit of the tunnel by the same train coming from the same direction. If jackal moves towards OPB and cat moves towards POA who will not meet accident with the train?
Answer» 0.042361111111111 0.12777777777778 0.21111111111111 none of these Answer :C

Discussion

4535.	A,B and C invest in the ratio of 3: 4: 5. The percentage of return on their investments are in the ratio of 6: 5: 4. Find the total earnings, if B earns ₹250 more than A :
Answer» ₹ 6000 ₹ 7250 ₹ 5000 none of these Answer :B

Discussion

4536.	A covers half of his disttance with 20 km/h and rest with 30 km/h.What is the average speed during the whole journey?
Answer» 20 km/h 24 km/h 25 km/h 26 km/h Answer :B

Discussion

4537.	Sum of n terms of the series log a + log((a^2)/(b)) + log((a^3)/(b^2)) + log ((a^4)/(b^3)) + ... is :
Answer» `LOG {(a^n)/(B^(n-1))}^(n//2)` `log {(a^(n+1))/(b^(n-1))}^(n//2)` `log {(a^n)/(b^n)}^(n//2)` `log {(a^(n+1))/(b^n)}^(n//2)` ANSWER :B

Discussion

4538.	The following pie chart shows the hourly distribution of all the major activities of a student. If he spends the time in games equal to the home work and remains constant in other activities, then the percentage decrease in time of sleeping :
Answer» `15%` `12.5`%` `20%` NONE of these Answer :B

Discussion

4539.	If m + n = mn - 5, then the maximum number of ordered pairs of (m,n) for every m, n is a natural number.
Answer» 4 5 6 none of these Answer :A

Discussion

4540.	If the perimeter of a square is 80 cm, then what is the diagonal of the square (in cm) ?
Answer» `10+4sqrt5`CM `12+5sqrt5`cm 16 cm `14+4sqrt5` cm Answer :A

Discussion

4541.	A few of the sides of a regular pentagon are extended in such a way that it forms an isoceles triangle as shown in the given diagram. If the perimeter of the pentagon is 10 cm, what is the perimeter of the isosceles triangle PQR? (##AHT_SKV_QCT_C12_E07_096_Q01.png" width="80%">
Answer» a. 2 (1/4) hrs B. 4 hrs 5 min c.4 (1/2) hrs d. Can't be determined Answer :B

Discussion

4542.	The ratio of numerator to a denominator of a fraction is 1/5 when x and 5x are added to the numerator and denominator respectively to the given fraction then the ratio of the new fraction will be :
Answer» 0.042361111111111 1:5 0.045138888888889 0.088194444444444 Answer :C

Discussion

4543.	The pie chart given below shows the spendings of a family on various heads during a month. Study the graph and answer the questions Which three expenditures together have a central angle of 108^(@)?
Answer» Fuel, Clothing and Others Fuel, EDUCATION and Others Clothing , Rend and Others Education, RENT and Others ANSWER :B

Discussion

4544.	A shopkeeper bought 300 lamps at the rate of 6 Rs /lamps . As some lamps were defected shopkeeper decided to sell them at the rate of 4.5 Rs/lamp and rest at profit of 25% . Finally he got profit of 16(2)/(3)%at whole . Find number of defected lamps?
Answer» ANSWER :50

Discussion

4545.	There are 9 pairs of white shoes and 6 pairs of black shoes contained in a box. We are allowed to draw only one shoe at a time. Minimum how many shoes are required to be drawn out to get one pair of white shoes?
Answer» 11 22 33 15 Answer :B

Discussion

4546.	3739 + 164*27 = ?
Answer» a. 105400 b. 4000 C. 8200 d. 690 Answer :C

Discussion

4547.	ABCD is a cyclic quadrilateral in which AB is a diameter , ,BC=CDandangleABD=50^(@) then angleDBC is :
Answer» `25^(@)` `20^(@)` `45^(@)` `30^(@)` ANSWER :B

Discussion

4548.	24 man can complete a piece of work in 15 days. 2 days after the 24 men started working, 4 men left the work. How many more days will the remaining men now take to complete the remaining work?
Answer» `15 1/3` `16 4/5` `11 2/5` `10 4/5` Solution :`("WORK")/(man XX DAYS) = ("REMAINING work" )/(men xx days)` `W/(24xx13) = W/(20 xx D)` `20 xx D = 24 xx 13` `D = (24xx13)/20 = 78/5 =15 3/5 ` days

Discussion

4549.	Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Answer» A) 27 sec B) 31 sec C) 23 sec D) 29 sec Answer :C

Discussion

4550.	3^(6n) + 4^(6n) is necessarily divisible by 25 when :
Answer» n is an even integer n is an odd integer only n is a PRIME `n GE 6, n epsilon I^+` ANSWER :B

Discussion

Explore topic-wise InterviewSolutions in .

A positive number p is such that (p + 4) is divisible by 7, 'N' being a smallest possible number larger than first prime number, which can make (p + N^2) divisible by 7. The value of N is :

If 8cos2theta+8sec2theta=65and0^(@)ltthetalt(pi)/(2), then 4cos4theta is equal to

Two types of rice of rate Rs. 11/kg and Rs. 21/kg. Find the ratio of two types of rice to obtain a mixture of rate Rs. 17/kg.

A 250 m long train is running at 100km/h.In what time,will it pass a man running at 10 km/h in the same direction in which the train is going?

Find the number of ways of expressing 36 as a product of two factors.

13.00bar5 xx 20 xx 8.4bar23

The remeainder obtained when 1! + 2! + 3! + … +77! is divided by 7 is :

A train passes two persons who are walking in the direction opposite to the direction of train at the rate of 10 m/s and 20 m/s respectively in 12 s and 10 s, respectively. Find the length of the train.

If varphi = (1 + sqrt5)/2 and the three sides of a triangle are 1, sqrt varphi, varphi, which one of the following statements is true about this triangle ?

If the roots of the equation x^2-2ax+a^2+a-3=0are real and less than 3, then :

Find the remainder in expression– (1235 xx 1237 xx 1239)/(12)

A person goes 60 km (upstream and downstream) in 10 hours. Time taken to cover 3 km downstream is equal to time taken to cover 2 km upstream. Find the speed of current and speed of boat in still water.

Find the no. of zeros in expression : (8^(253) - 8^(252) - 8^(251))(3^(221) - 3^(220) - 3^(219))

A, B and C can do a piece of work in 12, 15 and 20 days. How much minimum time should be required to complete this work if more than two persons can not work in a day and in any two consecutive days same pair can not work ?

In my office there are 30% female employees and 30% of these earn greater than Rs. 8,000 per month and 80% male employees earn less than Rs. 8,000 per month.What could be the minimum percentage of employees who earn less than ₹8000 per month?

If x = (sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)), then x^3+ 1/x^3 is equal to

If cosec^(2)theta+cot^(2)theta=(5)/(7), then find the value of cosec^(4)theta-cot^(4)theta.

The three vertices of a parallelogram taken in a order are (-1,0) , (3,1) and (2,2) respectively. Find the coordinates of the fourth vertex :

A shopkeeper gives discount of 4% and gives one article free on purchasing 15 ariticles. If he earns profit of 35% then find ratio of C.P. to M.P.

Find the no. of male students (i.e., boys), if there are 42% male students in the school and the total no. of student in the school is 1000.

B and C are equally efficient, but the efficiency of-A is half of each B and C. A and B started a work and 3 days later C joined them. If A alone can do the work in 14 days, then in how many more days the work will be completed?

Ashwin has to travel from one point to another point in a certain time . Travelling at a speed of 6 kmph he reaches 40 m late and travelling at a speed of 8 kmph he reaches 12 m earlier . What is the distance between this two points ?

If A and B are divided by D, then the remainder obtained are 13 and 31 respectively where A, B, C are natural numbers. Further A + B is divided by the same divisor D the remainderis 4, then the divisor D is:

A is twice fast as B is thrice as fast as C.the journey covered by C in 78 minutes will be covered by A in:

(kcosec^(2)30^(@).sec^(2)45)/(8cos^(2)45^(@).sin^(2)60^(@))=tan^(2)60^(@)-tan^(2)30^(@), then k = ?

Mutiply 185 by 215.

A train 180 m long taken 20 sec. In crossing a tunnel 460m long. The speed of the train is

A man purchases a TV for Rs. 8000 and sells it at 10% loss. What is the selling price of T.V?

A shopkeeper sold an article for Rs. 2500. If the cost price of the article is 2000, find the profit percent.

A shopkeeper purchases a table and sells it for Rs. 4200. If he incurs a loss of 20%, find the cost price of table.

A,B and C invest in the ratio of 3: 4: 5. The percentage of return on their investments are in the ratio of 6: 5: 4. Find the total earnings, if B earns ₹250 more than A :

A covers half of his disttance with 20 km/h and rest with 30 km/h.What is the average speed during the whole journey?

Sum of n terms of the series log a + log((a^2)/(b)) + log((a^3)/(b^2)) + log ((a^4)/(b^3)) + ... is :

The following pie chart shows the hourly distribution of all the major activities of a student. If he spends the time in games equal to the home work and remains constant in other activities, then the percentage decrease in time of sleeping :

If m + n = mn - 5, then the maximum number of ordered pairs of (m,n) for every m, n is a natural number.

If the perimeter of a square is 80 cm, then what is the diagonal of the square (in cm) ?

A few of the sides of a regular pentagon are extended in such a way that it forms an isoceles triangle as shown in the given diagram. If the perimeter of the pentagon is 10 cm, what is the perimeter of the isosceles triangle PQR? (##AHT_SKV_QCT_C12_E07_096_Q01.png" width="80%">

The ratio of numerator to a denominator of a fraction is 1/5 when x and 5x are added to the numerator and denominator respectively to the given fraction then the ratio of the new fraction will be :

The pie chart given below shows the spendings of a family on various heads during a month. Study the graph and answer the questions Which three expenditures together have a central angle of 108^(@)?

A shopkeeper bought 300 lamps at the rate of 6 Rs /lamps . As some lamps were defected shopkeeper decided to sell them at the rate of 4.5 Rs/lamp and rest at profit of 25% . Finally he got profit of 16(2)/(3)%at whole . Find number of defected lamps?

There are 9 pairs of white shoes and 6 pairs of black shoes contained in a box. We are allowed to draw only one shoe at a time. Minimum how many shoes are required to be drawn out to get one pair of white shoes?

3739 + 164*27 = ?

ABCD is a cyclic quadrilateral in which AB is a diameter , ,BC=CDandangleABD=50^(@) then angleDBC is :

24 man can complete a piece of work in 15 days. 2 days after the 24 men started working, 4 men left the work. How many more days will the remaining men now take to complete the remaining work?

Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?

3^(6n) + 4^(6n) is necessarily divisible by 25 when :