8677 + Interview Questions in Maths in Class 14 Page 10 InterviewSolution

451.	The sides AC,BC and AB of a triangle ABC are tangents to its incircle at D,E and F, respectively. Point D lies on the hypotenuse AC such that D is the circumcentre of the triangle ABC. Find EF:AC.
Answer» `1/root(2)(2)` `1/2+sqrt2` `1/2-sqrt2` NONEOF these Answer :B

Discussion

452.	The ratio of difference of S.I and C.I for 2 years and 3 years is (8)/(25). Find the rate of interest.
Answer» ANSWER :`12.5%`

Discussion

453.	400,396,392,380,360,330,288
Answer» 1. 380 2. 396 3. 400 4. 288 Solution :The PATTERN is as FOLLOWS:

Discussion

454.	Study the following graph carefully and answer the questions that follow If the amount of profitearnedby companyA in the year 2007was ? 1.5 lakh , what was its expenditurein that year ?
Answer» ? `1.96` LAKH F `2.64` lakh ? `1.27` lakh ? `3/75 lakh ` ANSWER :D

Discussion

455.	If 10 men can reap a field in 57 days, In how many days will 19 men reap the field?
Answer» 21 DAYS 19 days 76 days 30 days Answer :D

Discussion

456.	A and B throw a diealternatively till one of them gets a 6 and wins the game. Find theirrespective probabilities of winning, if A starts first.
Answer» `36/91,30/91,25/91` `10/71,16/91,22/81` `13/61,15/61,17/61` NONE of these Answer :A

Discussion

457.	If abcd=81, what is the minimum value of a+b+c+d?
Answer» 18 9 12 36 Answer :C

Discussion

458.	A sum of money amounts to Rs. 4500 in 2 years and Rs. 6750 in 4 years Compound Interest. Find the sum.
Answer» ANSWER :RS. 3000

Discussion

459.	Product of three natural numbers is 24000 and their HCF is 10. How many such triplets of numbers are there?
Answer» 5 4 7 6 Answer :C

Discussion

460.	1559.999+24.001 + 11.005 xx 6.999 = ?
Answer» a. 1370 b. 1660 d. 1520 d. 1820 Answer :D

Discussion

461.	Two angles of a triangle are1/2 radian and 1/3 radian. The measure of the third angle in degree (taking 'pi' = 22/7)
Answer» ANSWER :`(97)/(42)` RADIAN

Discussion

462.	Match the items in Column I with the relevant item in column II.
Answer» <P>P (p,R,s), Q(q, s), R(q,s), S(p, r, s) P(p,r), Q(q), R(q, s), S(r,s) P(p,s), Q(s), R(q), S(p, r, s) P(p), Q(q ,s), R(s), S(p,s) ANSWER :A

Discussion

463.	A right circular cone resting on its base is cut at (4)/(5)th its height along a plane parallel to the circular base . The height of original cone is 75 cm and base diameteris 42 cm.What is the base radius of cut out top portion cone ?
Answer» a. 4.2 CM B. 2.8 cm C. 3.5 cm d. 8.4 cm ANSWER :A

Discussion

464.	John started from A to B and Vinod from B to A. If the distance between A and B is 125 km and they meet at 75 km fromA,what is the ratio of John's speed to that of Vinod's speed?
Answer» `2 :3` `3 :2` `4 :3` `5 :4` ANSWER :B

Discussion

465.	A trader has a faulty balance that weighs 20% less than what is should weigh. If he wants to earn 25% profit, while offering a whopping 50% discount by how much per cent should he mark up his goods?
Answer» 80 90 100 120 Answer :C

Discussion

466.	If the length of a rectangle decreases by 5 m and breadth increases by 3 m, then its area reduces 9 sq m. If length and breadth of this rectangle increased by 3 m and 2 m respectively, then its area increased by 67 sq m. What is the length of rectangle?
Answer» 9 m 15.6 m 17 m 18.5 m Answer :C

Discussion

467.	A 110 m long train crosses a tree in 3 s. How long will it take to cross 165 m long platform and 135 m long bridge, if platform and bridge are at a distance of 30 m?
Answer» 12s 15 s 16 s 18 s Answer :A

Discussion

468.	ABC is an isosceles right Angle triangle . I is incentre. Find ratio of area oftriangle Delta AIC and Delta ABC
Answer» ANSWER :`SQRT(2) - 1 :1 `

Discussion

469.	Raman covers 1 km in 8 min while Suman covers the same distance in 10 min. By what distance does Raman beatsuman ?
Answer» (A)150 m (B)65 m (C)190 m (D)200 m Answer :D

Discussion

470.	I. 10x^(2) + 33x + 27 = 0 II.5y^(2) + 19y + 18 = 0
Answer» `x GT y` ` x ge y` ` x LT y` Relationship between x and y cannot be determined Solution :I. `10x^(2)+33x+27=0` `rArr10x^(2)+15x+18x+27=0` `rArr5x(2x+3)+9(2x+3)=0` `rArr(5x+9)(2x+3)` `thereforex=-9//5,-3//2` II .`5Y^(2)+19y+18=0` `5y^(2)+10y+9y+18=0` `5y(y+2)+9(y+2)=0` `(5y+9)(y+2)` `thereforey=-9//5, -2` `thereforexgey`

Discussion

471.	If a^(1//m) = b^(1//n)= c^(1//p) and abc = 1 then m + n + p is equal to :
Answer» 0 2 1 `-2` ANSWER :A

Discussion

472.	If m+ (1)/(m+2)=-4 , find m^(2) + m+1=?
Answer» ANSWER :7

Discussion

473.	What is the inradius of the incircle shown in the figure?
Answer» 9 cm 4 cm can't be determined none of these Answer :B

Discussion

474.	Amitabh,s average expenditure for the january to june isa ₹4200 and he spends₹1200 in january and ₹1500 in july.The average expenditure for the months of february to july is:
Answer» `₹4250` `₹4520` `₹4060` NONE of these Answer :A

Discussion

475.	Two numbers P and Q are given What is P+Q ? (i) LCM of P and Q is 36 times their HCF (ii) The sum of LCM of P & Q and their HCF is 444. P/10+Q/10 is an integer. (iv) P+Qgt150 Which of the given statements are redundant to find the answer of the question.
Answer» 1.statement(ii) 2.statement (iii) 3.statement (iv) 4.statement(i) Solution :Let x men typisst do the TYPING in (n-5) DAYS And y woment typist do the typing in n days So, `x(n-5)=y(n)` From option (i) Let `x=2p` And `y=5p` `2p(n-5)=5p(n)` `2n-10=5n` `n=-(10)/(3)` not POSSIBLE From option (ii), `10p(n-5)=3p(n)` `10n-50=3n` `7n=50` `n=(50)/(7)` it is possible Fromoption (iii) `9p(n-5)=7p(n)` `9n-45=7n` `2n=45` `n=(45)/(2)` possible Fromoption (iv) `10p(n-5)=7p(n)` 10n-50=7n` `n=(50)/(3)` possible So, (ii),(iii) and (iv) are possible.

Discussion

476.	The value of x satisfying theinequalities hold: qquad log_(0.2)(x+5)>0
Answer» 6 8 4 (2,8) ANSWER :B

Discussion

477.	ABCD is a rectangle. There are two points P & Q on side AB and AD such that area of triangles PAQ, CDQ & PBC are equal. If the length of BP is 2 cm, find the length of AP.
Answer» ANSWER :`1+sqrt(5)`

Discussion

478.	A and B started a business by investing Rs. 36000 and Rs. 45000 respectively. After 4 months B withdraws 4/9 of his investment. Its 5 months After she again invested 11/9 of its original investment. If the total earned profit at the end of the year, is Rs. 117240, then who will get more money as a share of profit and how much?
Answer» ANSWER :B, RS. 13560

Discussion

479.	Which of the following is not a possible number of region into which three straight lines, of infinite extent, divide a plane?
Answer» 4 5 6 7 Answer :B

Discussion

480.	In what time does a sum of money becomes 3.6 times of itself at simple interest rate of 13% per annum.
Answer» ANSWER :20 YEARS

Discussion

481.	250 students appeared in MOCK CAT consisting of three sections viz. Maths, Data Interpretation (DI) and English. 20 students did not qualify any of the three sections and 66 students qualified all the three sections, 24 students did not qualify DI only. 12 did not qualify DI and Maths only. Those who qualified Maths only exceeded those who did not qualify any of the section by 16. Those who did not qualify Maths only exceeded those who did not qualify only DI and Maths by 8. Those who did not qualify English only were twice the number of students who did not qualify Maths only. Find the number of students who has qualified atleast two sections.
Answer» ANSWER :`=150`

Discussion

482.	SP of an article is already fixed. If it is sold at (3)/(4) th of SP there would be 16(2)/(3)%loss find the profit % if it is sold at (6)/(5) th of S.P.
Answer» ANSWER :0.3333

Discussion

483.	Simplify the following expression1/((a-b)(b-c))+1/((b-c)(c-a))+1/((c-a)(a-b))
Answer» 0 1 3 none of these Answer :A

Discussion

484.	I. 10x^(2) + 33x + 27 = 0""II. 5y^(2) + 19y+18 = 0
Answer» ` x gt y` ` x GE y` ` x lt y` Relationship between x and y cannot be determined SOLUTION :I. ` 10x^(2) + 33x+27 = 0` `x_(1) =(-33+sqrt(b^(2)-4AC))/(2a)=(-33+sqrt(1089-4xx10xx27))/20=(-33+3)/20` ` x_(2)=(-33-sqrt(b^(2)-4ac))/(2a)` ` x_(2) = (-33-sqrt(1089-1080))/20` ` x_(1) = (-33+3)/20,x_(2)= (-33-3)/20` ` x_(1) = (-30)/20, x_(2) = (-36)/20 = (-9)/5, x = (-3)/2, (-9)/5` II. ` 5y^(2) + 19y+18 = 0` ` y_(1) = (-19-sqrt(361-4xx18xx5))/10` ` y_(2) = (-19-sqrt(361-360))/10` ` y_(1) = (-19+1)/10` ` y_(2) = (-19-1)/10 = (-18)/10 = (-9)/5 = (-20)/10 = - 2` ` y= (-9)/5, -2 rArrx ge y`

Discussion

485.	If (ab)^2=bcb and (dd)^2=ccff, where a , f, d are strictly in increasing order of G.P. and b, c, d are increasing order of A.P. Then the value of f will be, where ab and bcb etc. are the two digit and 3 digit numbers etc.
Answer» 9 8 can't be determined none of these Answer :D

Discussion

486.	There are deers and ducks in a zoo. If heads are counted then there are 180 total and if legs arecounted then there are 448 total. Find the number ofdeers and ducks .
Answer» ANSWER :DEER `to 44 ,` DUCK `to 136`

Discussion

487.	There are 60 workers who arefor M/s. Nottam Dibbawala Pvt. Ltd, Mumbai, outof which 25 are women . Alos : (i) 28 wrokers are married . (ii) 26 workers are graduate . (iii) 20 married workers are graduated out of which 9 are men . (iv) 15 menare graduate . (v) 15 men are married .How many unmarriedwomen are graduate ?
Answer» 20 8 0 can't be determined Answer :C

Discussion

488.	A 400 m long train takes 36 s to cross a man walking at 20km/h in the direction opposite to that of the train. What is the speed of the train?
Answer» 20 km/h 30 km/h 15 km/h 11 km/h Answer :A

Discussion

489.	How many meters of cloth 10 m wide will be required to make a conical tent with base radius of 14m and height 48 m?
Answer» 110 m 55 m 77 m 220 m Answer :D

Discussion

490.	Find the sum of n terms of 0.8 + 0.88 + 0.888 + …
Answer» `8/9[1/9{1-(0.1)^N}]` `8/9[1/10{1-(0.1)^n}]` `8/9[n-1/9{1-(0.1)^n}]` NONE of these Answer :C

Discussion

491.	At what rate per cent per annum will Rs. 1000 amount to Rs. 1331 in 3 years. The interest is compounded yearly
Answer» ANSWER :0.1

Discussion

492.	Efficiency of Asha is 25%more than Usha and Usha takes 25 days to complete a piece of work. Asha started a work alone and then usha joined her 5 days before actual completion of the work. For how many days did Asha work alone?
Answer» 9 11 10 15 Answer :B

Discussion

493.	An article passing through two hands is sold at a profit of 40% at the original cost price.If the 1st dealer makes a profit of 20%, then the profit per cent made by the second is
Answer» `15(2)/(3)%` `16(2)/(3)%` `13(2)/(3)%` `11(2)/(3)%` ANSWER :B

Discussion

494.	An engineer in the urban planning department of IIM Kashipur, situated near Jim Corbett National Park in Uttarakhand, wants to connect all the 25 buildings (blocks) mutually. Each road connects only one pair of blocks. No single road connects more than 2 blocks. The roads are designed in such a way that one can reach from one block to any other block through a sequence of roads laid out at thecampus. The number of roads (R) in the campus may satisfy the condition.
Answer» `25 le R le 625` `24 le R le 288` `24 le R le 300` `25 le R 225` Answer :C

Discussion

495.	If every pair from among the equationsx^2+px+qr=0,x^2+qx+rp=0 andx^2+rx+pq=0 has a common root, then the sum of the three common roots is
Answer» 2(p+q+r) p+q+r `-(p+q+r)` pqr Answer :B

Discussion

496.	If (a^(3//2)-ab^(1//2)+a^(1//2)b-b^(3//2)) is divided by (a^(1//2)-b^(1//2)), then the quotient is :
Answer» a+B a-b `a^(1//2)+b^(1//2)` `a^2-b^2` ANSWER :A

Discussion

497.	ifx^3-1/x^3=36 then find the value of x-1/x
Answer» 1 2 3 6 Answer :C

Discussion

498.	Which of the following are additional homopolymers?
Answer» Twenty volunteers are involved in Yoga Four volunteers are involved in all the THREE jobs Twenty three volunteers are involved in EXACTLY ONE task No need for any ADDITIONAL information Answer :A

Discussion

499.	If the simple interest on a certain sum of money is 4//25th of the sum and the rate per cent equal to thenumber of years, then find the rate of interest per annum.
Answer» ANSWER :0.04

Discussion

500.	Find the number of ways of distributing 7 identical balls into three boxes so that no box is empty and each box being large enough to accomodate all balls.
Answer» 15 `7^3` `""^(24)C_4` `(20!)/(4!)` ANSWER :A

Discussion

Explore topic-wise InterviewSolutions in .

The sides AC,BC and AB of a triangle ABC are tangents to its incircle at D,E and F, respectively. Point D lies on the hypotenuse AC such that D is the circumcentre of the triangle ABC. Find EF:AC.

The ratio of difference of S.I and C.I for 2 years and 3 years is (8)/(25). Find the rate of interest.

400,396,392,380,360,330,288

Study the following graph carefully and answer the questions that follow If the amount of profitearnedby companyA in the year 2007was ? 1.5 lakh , what was its expenditurein that year ?

If 10 men can reap a field in 57 days, In how many days will 19 men reap the field?

A and B throw a diealternatively till one of them gets a 6 and wins the game. Find theirrespective probabilities of winning, if A starts first.

If abcd=81, what is the minimum value of a+b+c+d?

A sum of money amounts to Rs. 4500 in 2 years and Rs. 6750 in 4 years Compound Interest. Find the sum.

Product of three natural numbers is 24000 and their HCF is 10. How many such triplets of numbers are there?

1559.999+24.001 + 11.005 xx 6.999 = ?

Two angles of a triangle are1/2 radian and 1/3 radian. The measure of the third angle in degree (taking 'pi' = 22/7)

Match the items in Column I with the relevant item in column II.

A right circular cone resting on its base is cut at (4)/(5)th its height along a plane parallel to the circular base . The height of original cone is 75 cm and base diameteris 42 cm.What is the base radius of cut out top portion cone ?

John started from A to B and Vinod from B to A. If the distance between A and B is 125 km and they meet at 75 km fromA,what is the ratio of John's speed to that of Vinod's speed?

A trader has a faulty balance that weighs 20% less than what is should weigh. If he wants to earn 25% profit, while offering a whopping 50% discount by how much per cent should he mark up his goods?

If the length of a rectangle decreases by 5 m and breadth increases by 3 m, then its area reduces 9 sq m. If length and breadth of this rectangle increased by 3 m and 2 m respectively, then its area increased by 67 sq m. What is the length of rectangle?

A 110 m long train crosses a tree in 3 s. How long will it take to cross 165 m long platform and 135 m long bridge, if platform and bridge are at a distance of 30 m?

ABC is an isosceles right Angle triangle . I is incentre. Find ratio of area oftriangle Delta AIC and Delta ABC

Raman covers 1 km in 8 min while Suman covers the same distance in 10 min. By what distance does Raman beatsuman ?

I. 10x^(2) + 33x + 27 = 0 II.5y^(2) + 19y + 18 = 0

If a^(1//m) = b^(1//n)= c^(1//p) and abc = 1 then m + n + p is equal to :

If m+ (1)/(m+2)=-4 , find m^(2) + m+1=?

What is the inradius of the incircle shown in the figure?

Amitabh,s average expenditure for the january to june isa ₹4200 and he spends₹1200 in january and ₹1500 in july.The average expenditure for the months of february to july is:

Two numbers P and Q are given What is P+Q ? (i) LCM of P and Q is 36 times their HCF (ii) The sum of LCM of P & Q and their HCF is 444. P/10+Q/10 is an integer. (iv) P+Qgt150 Which of the given statements are redundant to find the answer of the question.

The value of x satisfying theinequalities hold: qquad log_(0.2)(x+5)>0

ABCD is a rectangle. There are two points P & Q on side AB and AD such that area of triangles PAQ, CDQ & PBC are equal. If the length of BP is 2 cm, find the length of AP.

Which of the following is not a possible number of region into which three straight lines, of infinite extent, divide a plane?

In what time does a sum of money becomes 3.6 times of itself at simple interest rate of 13% per annum.

SP of an article is already fixed. If it is sold at (3)/(4) th of SP there would be 16(2)/(3)%loss find the profit % if it is sold at (6)/(5) th of S.P.

Simplify the following expression1/((a-b)(b-c))+1/((b-c)(c-a))+1/((c-a)(a-b))

I. 10x^(2) + 33x + 27 = 0""II. 5y^(2) + 19y+18 = 0

If (ab)^2=bcb and (dd)^2=ccff, where a , f, d are strictly in increasing order of G.P. and b, c, d are increasing order of A.P. Then the value of f will be, where ab and bcb etc. are the two digit and 3 digit numbers etc.

There are deers and ducks in a zoo. If heads are counted then there are 180 total and if legs arecounted then there are 448 total. Find the number ofdeers and ducks .

A 400 m long train takes 36 s to cross a man walking at 20km/h in the direction opposite to that of the train. What is the speed of the train?

How many meters of cloth 10 m wide will be required to make a conical tent with base radius of 14m and height 48 m?

Find the sum of n terms of 0.8 + 0.88 + 0.888 + …

At what rate per cent per annum will Rs. 1000 amount to Rs. 1331 in 3 years. The interest is compounded yearly

Efficiency of Asha is 25%more than Usha and Usha takes 25 days to complete a piece of work. Asha started a work alone and then usha joined her 5 days before actual completion of the work. For how many days did Asha work alone?

An article passing through two hands is sold at a profit of 40% at the original cost price.If the 1st dealer makes a profit of 20%, then the profit per cent made by the second is

If every pair from among the equationsx^2+px+qr=0,x^2+qx+rp=0 andx^2+rx+pq=0 has a common root, then the sum of the three common roots is

If (a^(3//2)-ab^(1//2)+a^(1//2)b-b^(3//2)) is divided by (a^(1//2)-b^(1//2)), then the quotient is :

ifx^3-1/x^3=36 then find the value of x-1/x

Which of the following are additional homopolymers?

If the simple interest on a certain sum of money is 4//25th of the sum and the rate per cent equal to thenumber of years, then find the rate of interest per annum.

Find the number of ways of distributing 7 identical balls into three boxes so that no box is empty and each box being large enough to accomodate all balls.