8677 + Interview Questions in Maths in Class 14 Page 69 InterviewSolution

3401.	Find the value of log_(10)7sqrt13 if log_(10)13=1.1139:
Answer» a) 0.15913 b) 0.5119 c) 1.15913 d) NONE of these Answer :A

Discussion

3402.	Consider the following statements. I. 771021240 is divisible by 11. II. 173 is a prime number. Which of the statements given above is/are correct?
Answer» only I only II Bot I and II Neigher I nor II Answer :C

Discussion

3403.	Two shopkeepers announce the same price of Rs 700 for a shirt. The first offers successive discounts of 30% and 6% while the second offers successive discounts of 20% and 16%. The shopkeeper that offers better discount is more of.
Answer» ANSWER :9.8

Discussion

3404.	A river is flowing at a speed of 5 km/h in a particular direction. A man, who can swim at a speed of 20 km/h in still water, starts swimming along the direction of flow of the river from point A and reaches another point B which is at a distance of 30 km from the starting point A. On reaching point B, the man turns back and starts swimming against the direction of flow of the river and stops after reaching point A. The total time taken by the man to complete his journey is
Answer» 2 h 30 min 3 h 12 min 3 h 30 min 3 h 45 min ANSWER :B

Discussion

3405.	Answer the questions based on the following information, which gives data certain butter producer companies in India. Which company out of the four companies mentioned above has the maximum unutilised capacity in ('000 tonnes) ?
Answer» Amul Nestle Parag Amrit Answer :A

Discussion

3406.	If sqrt(4 x - 9) + sqrt(4 x + 9) = 5 + sqrt7 then the value of x is :
Answer» `4` 5 7 3 Answer :A

Discussion

3407.	A dishonest dealer sells the goods at 6(1)/(4)%loss on cost price but uses 12(1)/(2)% less weight. What is his percentage profit or loss
Answer» ANSWER :`7(1)/(7)%` PROFIT

Discussion

3408.	If a^x = b^y = c^z and b/a = c/b then (2z)/(x + z) is equal to:
Answer» y/x x/y x/z z/x ANSWER :A

Discussion

3409.	Radha was asked to find the average of N consecutive natural numbers starting from 1. By mistake, he added a number twice but he didn't notice it. As a result, he obtained a wrong average of45(11)/(18).. Find the number he added twice.
Answer» ANSWER :10

Discussion

3410.	If the circumference of circle is 4.4 m, then the area of the circle (in m^2) is :
Answer» 49 49 4.9 none of these Answer :D

Discussion

3411.	If 3 tan theta =4, then find sqrt( (1- sin theta)/(1 + sin theta))
Answer» `1/3` `1/2` `2/3` NONE to these Answer :A

Discussion

3412.	Two horses were sold at Rs 2380 each. First was sold at 20% profit and second at 25% loss. Find the over all profit or loss %
Answer» ANSWER :`(100)/(13)%`

Discussion

3413.	A person bought some caps at rate of 27 for Rs 102 and sold them at the rate of 8 for Rs 34. Find the profit or loss percent ?
Answer» ANSWER :`12.5%` PROFIT

Discussion

3414.	If A+B+C=(3pi)/(2), then cos2A+cos2B+cos2C=?
Answer» `1-4sinAsinBsinC` `1-sinAsinBsinC` `1-2sinAsinBsinC` NONE of these Answer :A

Discussion

3415.	To manufacture an article the ratio of raw manterial and labour in respect to total cost is 70% and 30% respectively and profit is 14(2)/(7)% of raw material. If cost of rraw material and labour increased by 20% and 40% respectively and selling price by 80% then find the profit percent ?
Answer» `57%` `65.8%` `60%` con't determined Answer :A

Discussion

3416.	There is a mixture of milk and water 120lt . 1/6 thpartof this mixture is milk. We took out 30 ltmixture and added 'p' ltmilk to this mixture and the ratio was reversed. Then we added 'q' ltwater to this mixture then again the ratio was reversed. Find the value of (q-p)
Answer» 1440 lt 1442 lt 1439 lt 1443 lt Answer :A::D

Discussion

3417.	If (1)/(a+b+c)=(1)/(a)+(1)/(b)+(1)/(c) then find (1)/(a^(7))+(1)/(b^(6))+(1)/(c^(8))
Answer» 1 0 3 2 Answer :C

Discussion

3418.	A cube of maximum possible volume is cut from the solid right circular cylinder. What is the ratio of volume of cube to that of cylinder if the edge of a cube is equal to the height of the cylinder?
Answer» `11/7` `sqrt2pi/7` `7/11` NONE of these Answer :C

Discussion

3419.	After two successive rises, the salary of Eckhrat Tolle, working in a BPO company became equal to 15/8 times of his initial salary. By how much percent was the salary was half of the rise in second time in percent?
Answer» `82.5%` `60%` `50%` can't be determined Answer :C

Discussion

3420.	If A+B+C=pi, then (cosA)/(sinBsinC)+(cosB)/(sinCsinA)+(cosC)/(sinAsinB)=?
Answer» 0 1 2 3 Answer :B

Discussion

3421.	In a lottery of 100 tickets numbered 1 to 100 two tickets are drawn simultaneously , findtheprobabilitythatnoneof theticketsdrawnhasa primenumber .
Answer» `29/66` `17/33` `37/66` `17/50` ANSWER :C

Discussion

3422.	If tantheta-tanphi=xandcotphi-cottheta=y, then cot(theta-phi)=?
Answer» `(1)/(X)-(1)/(y)` `(1)/(x)+(1)/(y)` `x+y` `(1)/(y)-(1)/(x)` ANSWER :A

Discussion

3423.	From a rope of length 38 3/5m, a piece of length 5 3/38m is cut off. The length of the remaining rope is :
Answer» `190 99/33` `33 90/190` `33 99/190` NONE of these ANSWER :C

Discussion

3424.	A covers a distance of 1 km in 4 m 54 sec and B in 5 minutes. In a race of 1000 m, at what distance B should stand ahead of A so that both reach the last point together?
Answer» SOLUTION :N/A

Discussion

3425.	My salary is ₹12,345 per month. The salary of my brother is 10% greater than that of mine. The salary of my only sister is 9.09% greater than that my only brother . The salary of my wife is 56 12/23% less than the total salary of my brother and sister together, then my sister's salary of my wife is :
Answer» greater than my SISTER's SALARY `33 11/23%` LESS than my sister's salary equal to my salary `44 11/23%` greater than my own salary Answer :C

Discussion

3426.	If inradiusof an equilateraltriangle is 3 cm. Find the heightof thisDelta
Answer» ANSWER :9 CM

Discussion

3427.	The salary of A, B, C, D, E, is Rs. 8000 Rs, 5000, Rs. 11000, Rs. 7000, Rs. 9000 per month respectively, then the average salary of A, B, C, D and E per month is :
Answer» `₹7000` `₹8000` `₹8500` `₹9000` SOLUTION :AVERAGE SALARY =(8000+5000+11000+7000+9000)/5=8000

Discussion

3428.	A person calculates 33(1)/(3)%loss at S.P. find his loss at C.P.
Answer» ANSWER :25% LOSS

Discussion

3429.	Froma groupof3menand 2 women , twopersonsare selectedat random. Findthe probabilitythat atleastone womenis selected .
Answer» `1/5` `7/10` `2/5` `5/6` ANSWER :B

Discussion

3430.	Six Ps have to be placed in the squares of the diagram given below such that each column contains at least one P. In how many ways this can be done?
Answer» 26 13 8 24 Answer :A

Discussion

3431.	If p/q and r/sare two rational numbers then the relation\|p/q\| < \|r/s\| is :
Answer» ALWAYS true always false never true none of these Answer :D

Discussion

3432.	A contractor deployed some men to plant 1800 trees in a certain no. of days. But in 1/3rd of the planned time 120 plants could be less planted so to fulfill the target for the rest of the days everyday 20 more plants were planted. Thus it saved one day out of the initially planned no. of days. How many plants he planned to plant each day initially?
Answer» A)180 B)100 C)120 D)160 Answer :B

Discussion

3433.	If tan ^(2) theta + cot^(2) theta = 2 , then what is the value of 2^(sec theta cosec theta ) ?
Answer» 0 1 2 4 Answer :4

Discussion

3434.	A sum of Rs. 2400 amount to Rs. 2646 in 2 years. Find the rate of compound interest per annum?
Answer» ANSWER :`5%`

Discussion

3435.	What should be the next term in the following series ? 12,24 , 72,144 ?
Answer» ANSWER :432

Discussion

3436.	Zener break down will occur if
Answer» MACHINE 1 Machine 2 Machine 3 Machine 1 or 3 Answer :B

Discussion

3437.	Find the coefficient of z^3 in -10xy^2z^3
Answer» `xy^2` -10 `10xy^2` `-10xy^2` ANSWER :D

Discussion

3438.	A merchant earns a profit of 20% by selling a basket containing 80 apples whose cost is Rs. 240 but he gives one- fourth of it to his friend at cost price and sells the remaining apples. In order to earn the same profit,at what price must he sell each apple?
Answer» X3.00 X3.60 X3.80 X4.80 Answer :C

Discussion

3439.	From a solid sphere of radius 15 cm, a right circular cylindrical hole of radius 9 cm whose axis passing through the centre is removed. The total surface area ofthe remaining solid is :
Answer» a.`1188 PI CM^(2) ` b. `108 pi cm^(2) ` `1170 pi cm^(2) ` `144 pi cm^(2) ` ANSWER :C

Discussion

3440.	For any set of real numbers R = {a,b,c} let sum of pairwise product S = ab+bc+ca, If a+b+c = 1 then
Answer» `S LE 1/3` `Slt1/3` `S le SQRT3` `S LT 1/9` ANSWER :A

Discussion

3441.	If tan^(2)alpha=1+2tan^(2)beta, then sqrt(2)cosalpha+cosbeta is equal to (if 0ltalphalt90^(@)and90^(@)ltbetalt180^(@))
Answer» `2sqrt(2)COSALPHA` 0 `2cosbeta` 1 Answer :B

Discussion

3442.	(? – 968) ÷ 79 × 4 = 512
Answer» 11080 10190 11075 11085 Answer :A

Discussion

3443.	A, B and C working together can finish a piece of work in 32 days. They started working together and worked for 20 days then A left the work. Rest work done by B and C in 20 days. In how many days A working alone will finish the work?
Answer» ANSWER :80 DAYS

Discussion

3444.	A train met with an accident 120 km from station A it completed the remaining journey at 5/6 of its previous speed and reached 2 hours late at station B had the accident taken place 300 km further it would have been only 1 hour late?what is the speed of the train?
Answer» 100 km/h 120 km/h 60 km/h 50 km/h Answer :C

Discussion

3445.	A train met with an accident 120 km from station A it completed the remaining journey at 5/6 of its previous speed and reached 2 hours late at station B had the accident taken place 300 km further it would have been only 1 hour late?what is the total distance between A and B?
Answer» 480 km 520 km 600 km 720 km Answer :D

Discussion

3446.	1/(x+4) - 1/(x-7) = 11/30 1/(y-3) + 1/(y+5) = 1/5
Answer» `X gt y` ` x lt y` ` x ge y` x= y or RELATION cannot be ESTABLISHED Solution :` 1/(x+4) - 1/(x-7) = 11/30` ` x = 1,2` ` 1/(y-3)-1/(y+5) = 1/3` ` y =- 3,7`

Discussion

3447.	Michel travelled from New York to New Jersy covering total distance of 250 mile in 8 h partly by car at 30 mile/h and rest by train at 35 mile/h. The distance travelled by car is :
Answer» 150 mile 80 mile 220 mile 180 mile Answer :D

Discussion

3448.	If a, b and c are in A.P than what will be their A.M ?
Answer» 2B= a + c b = a + c can't be DETERMINED NONE of these Answer :D

Discussion

3449.	If each side of the octagon be a, then find the shortest diagonal of the octagon.
Answer» A)`(SQRT(2+sqrt2))a` B)`(1+sqrt2)a` C)`2(1+sqrt2)a` D)`(sqrt4+root(2)(2))a` ANSWER :A

Discussion

3450.	Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are,
Answer» 12,24,36 5,10,15 4,8,12 10,20,30 Answer :A

Discussion

Explore topic-wise InterviewSolutions in .

Find the value of log_(10)7sqrt13 if log_(10)13=1.1139:

Consider the following statements. I. 771021240 is divisible by 11. II. 173 is a prime number. Which of the statements given above is/are correct?

Two shopkeepers announce the same price of Rs 700 for a shirt. The first offers successive discounts of 30% and 6% while the second offers successive discounts of 20% and 16%. The shopkeeper that offers better discount is more of.

Answer the questions based on the following information, which gives data certain butter producer companies in India. Which company out of the four companies mentioned above has the maximum unutilised capacity in ('000 tonnes) ?

If sqrt(4 x - 9) + sqrt(4 x + 9) = 5 + sqrt7 then the value of x is :

A dishonest dealer sells the goods at 6(1)/(4)%loss on cost price but uses 12(1)/(2)% less weight. What is his percentage profit or loss

If a^x = b^y = c^z and b/a = c/b then (2z)/(x + z) is equal to:

Radha was asked to find the average of N consecutive natural numbers starting from 1. By mistake, he added a number twice but he didn't notice it. As a result, he obtained a wrong average of45(11)/(18).. Find the number he added twice.

If the circumference of circle is 4.4 m, then the area of the circle (in m^2) is :

If 3 tan theta =4, then find sqrt( (1- sin theta)/(1 + sin theta))

Two horses were sold at Rs 2380 each. First was sold at 20% profit and second at 25% loss. Find the over all profit or loss %

A person bought some caps at rate of 27 for Rs 102 and sold them at the rate of 8 for Rs 34. Find the profit or loss percent ?

If A+B+C=(3pi)/(2), then cos2A+cos2B+cos2C=?

To manufacture an article the ratio of raw manterial and labour in respect to total cost is 70% and 30% respectively and profit is 14(2)/(7)% of raw material. If cost of rraw material and labour increased by 20% and 40% respectively and selling price by 80% then find the profit percent ?

There is a mixture of milk and water 120lt . 1/6 thpartof this mixture is milk. We took out 30 ltmixture and added 'p' ltmilk to this mixture and the ratio was reversed. Then we added 'q' ltwater to this mixture then again the ratio was reversed. Find the value of (q-p)

If (1)/(a+b+c)=(1)/(a)+(1)/(b)+(1)/(c) then find (1)/(a^(7))+(1)/(b^(6))+(1)/(c^(8))

A cube of maximum possible volume is cut from the solid right circular cylinder. What is the ratio of volume of cube to that of cylinder if the edge of a cube is equal to the height of the cylinder?

After two successive rises, the salary of Eckhrat Tolle, working in a BPO company became equal to 15/8 times of his initial salary. By how much percent was the salary was half of the rise in second time in percent?

If A+B+C=pi, then (cosA)/(sinBsinC)+(cosB)/(sinCsinA)+(cosC)/(sinAsinB)=?

In a lottery of 100 tickets numbered 1 to 100 two tickets are drawn simultaneously , findtheprobabilitythatnoneof theticketsdrawnhasa primenumber .

If tantheta-tanphi=xandcotphi-cottheta=y, then cot(theta-phi)=?

From a rope of length 38 3/5m, a piece of length 5 3/38m is cut off. The length of the remaining rope is :

A covers a distance of 1 km in 4 m 54 sec and B in 5 minutes. In a race of 1000 m, at what distance B should stand ahead of A so that both reach the last point together?

If inradiusof an equilateraltriangle is 3 cm. Find the heightof thisDelta

The salary of A, B, C, D, E, is Rs. 8000 Rs, 5000, Rs. 11000, Rs. 7000, Rs. 9000 per month respectively, then the average salary of A, B, C, D and E per month is :

A person calculates 33(1)/(3)%loss at S.P. find his loss at C.P.

Froma groupof3menand 2 women , twopersonsare selectedat random. Findthe probabilitythat atleastone womenis selected .

Six Ps have to be placed in the squares of the diagram given below such that each column contains at least one P. In how many ways this can be done?

If p/q and r/sare two rational numbers then the relation|p/q| < |r/s| is :

If tan ^(2) theta + cot^(2) theta = 2 , then what is the value of 2^(sec theta cosec theta ) ?

A sum of Rs. 2400 amount to Rs. 2646 in 2 years. Find the rate of compound interest per annum?

What should be the next term in the following series ? 12,24 , 72,144 ?

Zener break down will occur if

Find the coefficient of z^3 in -10xy^2z^3

A merchant earns a profit of 20% by selling a basket containing 80 apples whose cost is Rs. 240 but he gives one- fourth of it to his friend at cost price and sells the remaining apples. In order to earn the same profit,at what price must he sell each apple?

From a solid sphere of radius 15 cm, a right circular cylindrical hole of radius 9 cm whose axis passing through the centre is removed. The total surface area ofthe remaining solid is :

For any set of real numbers R = {a,b,c} let sum of pairwise product S = ab+bc+ca, If a+b+c = 1 then

If tan^(2)alpha=1+2tan^(2)beta, then sqrt(2)cosalpha+cosbeta is equal to (if 0ltalphalt90^(@)and90^(@)ltbetalt180^(@))

(? – 968) ÷ 79 × 4 = 512

A, B and C working together can finish a piece of work in 32 days. They started working together and worked for 20 days then A left the work. Rest work done by B and C in 20 days. In how many days A working alone will finish the work?

A train met with an accident 120 km from station A it completed the remaining journey at 5/6 of its previous speed and reached 2 hours late at station B had the accident taken place 300 km further it would have been only 1 hour late?what is the speed of the train?

A train met with an accident 120 km from station A it completed the remaining journey at 5/6 of its previous speed and reached 2 hours late at station B had the accident taken place 300 km further it would have been only 1 hour late?what is the total distance between A and B?

1/(x+4) - 1/(x-7) = 11/30 1/(y-3) + 1/(y+5) = 1/5

Michel travelled from New York to New Jersy covering total distance of 250 mile in 8 h partly by car at 30 mile/h and rest by train at 35 mile/h. The distance travelled by car is :

If a, b and c are in A.P than what will be their A.M ?

If each side of the octagon be a, then find the shortest diagonal of the octagon.

Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are,