8677 + Interview Questions in Maths in Class 14 Page 156 InterviewSolution

7751.	What is the least possible number which when divided by 24, 32 or 42 in each case it leaves the remainder 5?
Answer» Solution :Since we know that the LCM of 24 , 32 , and 42 is divisible by the given numbers . So the REQUIRED number = (LCM of 24, 32 , 42) + ( 5 ) = 672 + 5 = 677 HENCE such a LEAST possible number is 677.

Discussion

7752.	Anu invests Rs. 5000 in a bond on which interest is given at 4% per annum during the first year, 5% during the second year and 10% during the third year. How much does she get at the end of the third year.
Answer» ANSWER :RS. 6006

Discussion

7753.	If f(x)=(1)/(x),xne0 and f^(n+1)(x)=f^(n)(f(x)), find the productof f^(11)(1).f^(33)(1).f^(55)(1)f^(77)(1).f^(99)(1):
Answer» 110 88 275 1 Answer :D

Discussion

7754.	A person cover a distance of 760 km partly by train and partly by car. If he travels 160 km by train rest by car it takes 8 hours and if he covers 240 by train and rest by car it takes him 8 hours 12 minute to cover that distance. Find the speed of train and car.
Answer» ANSWER :80 km/h, 100 km/h

Discussion

7755.	If a/b = c/d =e/f = 4, then (ma ^(2) + nc ^(2) + pe ^(2))/( mb ^(2) + nd ^(2) + pf^(2)) = ?
Answer» `10` 16 20 18 Answer :B

Discussion

7756.	Nilu covers a distance by walking for 6h. While returning, his speed decreases by 2km/ h and he takes 9 h to cover the same distance. What was her speed while returning?
Answer» a. 2 km/h b. 5 km/h C. 4 km/h d. 7km/h Answer :C

Discussion

7757.	If (x+1) and (x-1) are factor of ax^(3) + bx^(2) + 3x+5. Find the value of a and b
Answer» ANSWER :`B= -5, a= -3`

Discussion

7758.	In this Delta ABC, BD=8 cm, BC=20 cm, CD=16 cm andangle CBD=angle CAB. Find the perimeter of Delta BDA.
Answer» ANSWER :27

Discussion

7759.	Between Shirdee and Khandala, there are 10 intermediate stations. The number of ways in which a train can be made to stop at 4 of these stations so that no two of these halting stations are consecutive is :
Answer» 35 70 105 10 Answer :A

Discussion

7760.	In a certain colony of cancerous cells , each cell divides into two every minute. How many cells will be produced from a single cell if the rate of division continues for 12 minutes :
Answer» 9180 8190 8910 none of these Answer :B

Discussion

7761.	A sells a scooter priced Rs 36,000. He gives a discount of 8% on the first Rs 20,000 and 5% on the next Rs 10,000. How much discount can he affored on the remaining Rs 6000 if he is to get as much as 7% discount is allowed on the total.
Answer» ANSWER :0.07

Discussion

7762.	If f(x) is an even function of x and g(x) is an odd function then which of the following is true?
Answer» A. `F[g(X)]` is ODD, `g[f(x)]` is odd B. `f[g(x)` is even, `g[f(x)]` is even C. `f[g(x)]` is even, `g[f(x)]` is odd D. NONE of these Answer :C

Discussion

7763.	What are the dimensions (length, breadth and height, respectively) of a cuboid with volume 720 cu cm, surface area 484 sq cm and the area of the base 72 sq cm?
Answer» a. 9,8 and 10 cm c. 12, 6 and 10 cm b. and 10 cm d. 30, 2 and 12 cm Answer :A

Discussion

7764.	A merchant has 140 litres, 260 litres, 320 litres of three kinds of oil. He wants to sell the oil by filling the three kinds separately in tins of equal volume . The volume of such a tin is:
Answer» 20 13 16 70 Answer :A

Discussion

7765.	The square root of 1444is :
Answer» 33 44 34 38 Answer :D

Discussion

7766.	Solve x^8divx^5
Answer» SOLUTION :`x^6/x64=xxxx=x^2`

Discussion

7767.	A hunter fired two shots from the branch of a tree at an interval of 76 seconds. A tiger separating too fast hears the two shots at an interval of 83 seconds. If the velocity of the sound is 1195.2 km/h, then find the speed of tiger?
Answer» 112.8 km/h 100.8 km/h 80.16 km/h none of these Answer :B

Discussion

7768.	A person buys a radio for 1030 and he spent 50 on its repairs. If he sold it for 1200, find the profit percent
Answer» 10 1/3 11 1/9 12 1/2 none of these Answer :B

Discussion

7769.	An item is sold for 680 by allowing a discount of 15% on its marked price. The marked price of item is
Answer» Answer :800 L 100 J 85

Discussion

7770.	The Average age of 12 men is decreased by one year when two of them having ages 28 years and 32 years are replaced by two women of same age . The age of a women is?
Answer» a. 26 b. 33 c. 24 d. 61 Answer :RS. 260

Discussion

7771.	A group of workers was put on a job. From the second day onwards, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage, the group would have finished the job in 55% of the time. How many workers were there in the group?
Answer» 50 40 45 10 Answer :D

Discussion

7772.	A man purchased three types of wheat. Cost of 1st, 2nd and 3rd type of wheat are Rs. 1.27 /kg, Rs. 1.29 /kg andRs. 1.32 /kg respectively. In which ratio are these mixed so that cost of mixture is Rs. 1.30 kg.
Answer» 1 : 2 : 3 2 : 2 : 3 2 : 6 : 3 1 : 1 : 2 Answer :`1: 1 :2 `

Discussion

7773.	The value of n in the expression n^2 - 2(n!) + n = 0 for every n in N is :
Answer» a.6 b.1 c.3 d.data insufficient. Answer :D

Discussion

7774.	The following table gives the sales details of the books for CAT written by Sarvesh : Which of the categories had either a consistent growth or consistent decline in the period shown ?
Answer» QA DI VA LR Answer :D

Discussion

7775.	If x = 6 and y = 3 then the value of [x + y]^(x//y) is :
Answer» 30 36 81 18 Answer :C

Discussion

7776.	Which one of the following is not the correct relation?
Answer» `(25)^3 + (38)^3 + (87)^3 = (90)^(3)` `(3)^3 + (4)^3 + (5)^(3) = (6)^3` `(17)^(3) + (29)^(3) = (57)^3` `1^3 + 6^3 + 8^3= 9^3` Answer :C

Discussion

7777.	A farmer can plough a field working 3 hours per days in 9 days. The worker has to work how many hours per days to finish the samework in 6 days?
Answer» ANSWER :4.5

Discussion

7778.	If the product of 1 xx 2 xx 3 xx 4 xx … n contains 68 zeros in the end of the number. Then the maximum possible number of values of n is:
Answer» 1 3 5 6 Answer :C

Discussion

7779.	What should come in place of the question mark (? ) in the following questions ? 7008^(**) 24 + 6208-s-16= ?
Answer» a. 640 b. 720 c. 700 d. NONE of the above

Discussion

7780.	Number of aspirants who had qualified in only Maths and LR sections:
Answer» 20 10 28 38 Answer :B

Discussion

7781.	Find the soluations of the following equations.2x^10-x^5-4=0
Answer» SOLUTION :1.11014 and `-103473`

Discussion

7782.	The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is
Answer» 91 910 1001 1911 Answer :A

Discussion

7783.	A man sells an article at a gain of 25%. If he had bought it at 20% less and sold it for 5 less, he would have gained 45%. The cost price of the article is
Answer» 81 500/9 80 78 Answer :D

Discussion

7784.	If the roots of a quadratic equation are unequal, which one of the followingcannot be true?
Answer» A)`DGT0` B)`DLT0` C)D = 0 D)ROOTS are conjugate also Answer :C

Discussion

7785.	Find the number of co-prime numbers of 10.
Answer» SOLUTION :`10 = 2xx5` NUMBER of coprime numbers of 10 is given by `varphi(10) = (1-1/2)(1-1/5) = 4` These numbers are 1,3,7,9.

Discussion

7786.	A shopkeeper sells a watch for Rs 960 after giving discount of 20% . Had he not given any discount he would earn 40% profit. At what price he sould sell that watch in order to earn profit of 54% .
Answer» ANSWER :RS. 1320

Discussion

7787.	P lent some money to Q at 5% per annum simple interest. Q lent the entire amount to R on the same day at 8 (1)/(2)% per annum. In this transaction after a year Q earned a profit of Rs. 350. Find the sum of money lent by P to Q.
Answer» ANSWER :RS. 10000

Discussion

7788.	There are two quadratic equations. Solve these equations and find the relation Between p and q.3p^2+5p+5=0 q^2-4q-12=0
Answer» `pltq` `pgtq` `PLE Q` connotbe determined Answer :D

Discussion

7789.	The radii of two concentric circle are 13 cm and 8 cm. AB is a diameter of the bigger circle and BD is a tangent to the smaller circle touching it at D and the bigger circle at E. Point A is joined to D. Find the length of AD.
Answer» ANSWER :AD = 19 CM

Discussion

7790.	A shopkeeper gives discount of 35% and gives one article free on purchasing 12 ariticles. If he earns profit of 20% then find ratio of C.P. to M.P.
Answer» ANSWER :`1:2`

Discussion

7791.	What is approximate overall percentage obtained by C in the examination?
Answer» 78 69 75 71 Answer :D

Discussion

7792.	Find the remainder when4^(5^(6^(7^(8^(9^(10)))))) is divided by 6.
Answer» 2 3 4 5 Answer :C

Discussion

7793.	ABCD is a square with sides of length 10 units. OCD is an isosceles triangle with base CD. OC cuts AB at point Q and OD cuts AB at point P. The area of trapezoid PQCD is 80 sq units. The length of altitude from O of the AOPQ (in units) is
Answer» 12 13 14 None of these Answer :D

Discussion

7794.	A cricket team of 11 players is to be formed from 16 players including 4 bowlers and 2 wicketkeepers. In how many different ways can a team be formed so that the team has atleast 3 bowlers and atleast one wicket keeper?
Answer» 2472 2274 2437 1236 Answer :A

Discussion

7795.	A dishonest dealer sells the goods at 10% profit on cost price but uses false meter. So his over all profit is 30% find the cm. In 1 m that he used.
Answer» ANSWER :`(1100)/(13)`

Discussion

7796.	The metro service has a train going from A to B and B to A every hour, the first one at 6 a.m. The trip from one city to other takes 4.5 hours, and all trains travel at the same speed. How many trains will you pass while going from A to B if you start at 12 noon?
Answer» ANSWER : 9 TRAINS

Discussion

7797.	Solve the following expressions . (2^2 + 2^3 + 2^(-2) + 2^(-3))
Answer» ANSWER :`99/8`

Discussion

7798.	Two numbers are in the ratio 3 : 7. If 6 be added to each of them, then they are in the ratio 5 : 9. Find the numbers ?
Answer» A) 11 & 17 B) 7 & 17 C) 9 & 21 D) 13 & 23

Discussion

7799.	A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is –
Answer» 2mph 2.5 mph 3 mph 4 mph Answer :A

Discussion

7800.	If a/6=b/4=c/2 then (a+b+c)/b=?
Answer» 2 3 4 5 Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

What is the least possible number which when divided by 24, 32 or 42 in each case it leaves the remainder 5?

Anu invests Rs. 5000 in a bond on which interest is given at 4% per annum during the first year, 5% during the second year and 10% during the third year. How much does she get at the end of the third year.

If f(x)=(1)/(x),xne0 and f^(n+1)(x)=f^(n)(f(x)), find the productof f^(11)(1).f^(33)(1).f^(55)(1)f^(77)(1).f^(99)(1):

A person cover a distance of 760 km partly by train and partly by car. If he travels 160 km by train rest by car it takes 8 hours and if he covers 240 by train and rest by car it takes him 8 hours 12 minute to cover that distance. Find the speed of train and car.

If a/b = c/d =e/f = 4, then (ma ^(2) + nc ^(2) + pe ^(2))/( mb ^(2) + nd ^(2) + pf^(2)) = ?

Nilu covers a distance by walking for 6h. While returning, his speed decreases by 2km/ h and he takes 9 h to cover the same distance. What was her speed while returning?

If (x+1) and (x-1) are factor of ax^(3) + bx^(2) + 3x+5. Find the value of a and b

In this Delta ABC, BD=8 cm, BC=20 cm, CD=16 cm andangle CBD=angle CAB. Find the perimeter of Delta BDA.

Between Shirdee and Khandala, there are 10 intermediate stations. The number of ways in which a train can be made to stop at 4 of these stations so that no two of these halting stations are consecutive is :

In a certain colony of cancerous cells , each cell divides into two every minute. How many cells will be produced from a single cell if the rate of division continues for 12 minutes :

A sells a scooter priced Rs 36,000. He gives a discount of 8% on the first Rs 20,000 and 5% on the next Rs 10,000. How much discount can he affored on the remaining Rs 6000 if he is to get as much as 7% discount is allowed on the total.

If f(x) is an even function of x and g(x) is an odd function then which of the following is true?

What are the dimensions (length, breadth and height, respectively) of a cuboid with volume 720 cu cm, surface area 484 sq cm and the area of the base 72 sq cm?

A merchant has 140 litres, 260 litres, 320 litres of three kinds of oil. He wants to sell the oil by filling the three kinds separately in tins of equal volume . The volume of such a tin is:

The square root of 1444is :

Solve x^8divx^5

A hunter fired two shots from the branch of a tree at an interval of 76 seconds. A tiger separating too fast hears the two shots at an interval of 83 seconds. If the velocity of the sound is 1195.2 km/h, then find the speed of tiger?

A person buys a radio for 1030 and he spent 50 on its repairs. If he sold it for 1200, find the profit percent

An item is sold for 680 by allowing a discount of 15% on its marked price. The marked price of item is

The Average age of 12 men is decreased by one year when two of them having ages 28 years and 32 years are replaced by two women of same age . The age of a women is?

A man purchased three types of wheat. Cost of 1st, 2nd and 3rd type of wheat are Rs. 1.27 /kg, Rs. 1.29 /kg andRs. 1.32 /kg respectively. In which ratio are these mixed so that cost of mixture is Rs. 1.30 kg.

The value of n in the expression n^2 - 2(n!) + n = 0 for every n in N is :

The following table gives the sales details of the books for CAT written by Sarvesh : Which of the categories had either a consistent growth or consistent decline in the period shown ?

If x = 6 and y = 3 then the value of [x + y]^(x//y) is :

Which one of the following is not the correct relation?

A farmer can plough a field working 3 hours per days in 9 days. The worker has to work how many hours per days to finish the samework in 6 days?

If the product of 1 xx 2 xx 3 xx 4 xx … n contains 68 zeros in the end of the number. Then the maximum possible number of values of n is:

What should come in place of the question mark (? ) in the following questions ? 7008^(**) 24 + 6208-s-16= ?

Number of aspirants who had qualified in only Maths and LR sections:

Find the soluations of the following equations.2x^10-x^5-4=0

The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is

A man sells an article at a gain of 25%. If he had bought it at 20% less and sold it for 5 less, he would have gained 45%. The cost price of the article is

If the roots of a quadratic equation are unequal, which one of the followingcannot be true?

Find the number of co-prime numbers of 10.

A shopkeeper sells a watch for Rs 960 after giving discount of 20% . Had he not given any discount he would earn 40% profit. At what price he sould sell that watch in order to earn profit of 54% .

P lent some money to Q at 5% per annum simple interest. Q lent the entire amount to R on the same day at 8 (1)/(2)% per annum. In this transaction after a year Q earned a profit of Rs. 350. Find the sum of money lent by P to Q.

There are two quadratic equations. Solve these equations and find the relation Between p and q.3p^2+5p+5=0 q^2-4q-12=0

The radii of two concentric circle are 13 cm and 8 cm. AB is a diameter of the bigger circle and BD is a tangent to the smaller circle touching it at D and the bigger circle at E. Point A is joined to D. Find the length of AD.

A shopkeeper gives discount of 35% and gives one article free on purchasing 12 ariticles. If he earns profit of 20% then find ratio of C.P. to M.P.

What is approximate overall percentage obtained by C in the examination?

Find the remainder when4^(5^(6^(7^(8^(9^(10)))))) is divided by 6.

ABCD is a square with sides of length 10 units. OCD is an isosceles triangle with base CD. OC cuts AB at point Q and OD cuts AB at point P. The area of trapezoid PQCD is 80 sq units. The length of altitude from O of the AOPQ (in units) is

A cricket team of 11 players is to be formed from 16 players including 4 bowlers and 2 wicketkeepers. In how many different ways can a team be formed so that the team has atleast 3 bowlers and atleast one wicket keeper?

A dishonest dealer sells the goods at 10% profit on cost price but uses false meter. So his over all profit is 30% find the cm. In 1 m that he used.

The metro service has a train going from A to B and B to A every hour, the first one at 6 a.m. The trip from one city to other takes 4.5 hours, and all trains travel at the same speed. How many trains will you pass while going from A to B if you start at 12 noon?

Solve the following expressions . (2^2 + 2^3 + 2^(-2) + 2^(-3))

Two numbers are in the ratio 3 : 7. If 6 be added to each of them, then they are in the ratio 5 : 9. Find the numbers ?

A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is –

If a/6=b/4=c/2 then (a+b+c)/b=?