8677 + Interview Questions in Maths in Class 14 Page 57 InterviewSolution

2801.	The odds in favourif an eventare 2 :7findtheprobabilityof occurrence of thisevent .
Answer» `2/9` `5/12` `7/12` `2/5` ANSWER :A

Discussion

2802.	sqrt(?)+43=sqrt(19881)
Answer» 9604 7744 9216 8464 Answer :A

Discussion

2803.	Let f(x)= x/(x+3), then 1/f(x+1)-f(1/(x+1))= ?
Answer» `(3x^2+7x+4)/(3(X^2+5x+5)` `(3(x^2+5x+5))/(3x^2+7x+4)` `(-x(2x+3))/((x+3)^2)` `(-(x-3)^2)/(x((2x+3))` ANSWER :B

Discussion

2804.	Let the vertices of a triangle ABC be (4,3) , (7,-1) , (9,3) then the triangle is :
Answer» scalene isoceles equilateral none of (a), (B), ( C ) ANSWER :B

Discussion

2805.	A shopkeeper purchased a chair of M.P. Rs 600 after getting two consecutive discount of 15% and 20%. He invested Rs 28 on transport and sold it for Rs 545 . Find his profit%.
Answer» ANSWER :25% PROFIT

Discussion

2806.	A starts a business with ? 2000 and B joins him after 3 months with ? 8000. Find the ratio of their profits at the end of the year.
Answer» (i)and(II) only (ii) (i),(ii) and (iv) 1560 Solution :Let WIDTH of the field `=x` cm So, LENGTH of the field will be `=(x+6)` cm So,`9/4xx` (Area of path) = Area of the field `implies9/4[(x+6)xx3+(x-6)xx3]xx2=x(x+6)` From this equation , we can find out the value of x and HENCE all values can be find out.

Discussion

2807.	Study the following bar graph carefully and answer the questions. The ratio of the total enrollments in the year 1980 and 2000 at the State University and Central University is
Answer» `4:5` `2:3` `6:5` `5:6` ANSWER :D

Discussion

2808.	Divide Rs. 6940 in such a way that a ges 2/3 rd of what B gets and B gets 3/5 thof what C gets? What is the share of A and B together?
Answer» ₹ 1982 ₹ 1388 ₹ 3470 none of these Answer :C

Discussion

2809.	A personinvested some amount at the rate of 12% simple interest and a certain amountat the rate of 10% simple interest. He received yearly interest of Rs 130.But if he had interchanged the amounts invested, he would have received Rs 4more as interest. How much did he invest at 12% simple interest?(a) Rs400 (b) Rs 500 (c) Rs 700 (d) Rs 800
Answer» 700 500 800 400 Answer :A

Discussion

2810.	A, B and C shot to hit a target. If A hits the target 4 times in 5trails, B hit it 3 times in 4 trials and C hits 2 time in 3 trials; what isthe probability that the target is hit by a least 2 person?
Answer» `5/6` `3/4` `4/5` `1/9` ANSWER :A

Discussion

2811.	If x^2+y^2 = 25 and xy = 12, then the value of x^(-1)+y^(-1) is :
Answer» `12/5` `7/12` `(-7)/12` both (B) and (C ) ANSWER :D

Discussion

2812.	The number of 4 digit numbers that can be made using exactly three digits out of 1,2,3,4,5, and 6.
Answer» 380 280 240 300 Answer :C

Discussion

2813.	Find max^(m)&min^(m) value of sin^(2)theta+costheta
Answer» ANSWER :`-1`

Discussion

2814.	Average price of f 100 articles is 46. Later it was found that 16 was read as 61 and 43 was read as 34 and the articles were 90 instead of 100. Find the actual average.
Answer» ANSWER :50.7

Discussion

2815.	LetA_1 , G_1, H_1denote the arithmetic, geometric and harmonic means respectively, of two distinct positive numbers. Forn >2,letA_(n-1),G_(n-1) and H_(n-1) has arithmetic, geometric and harmonic means asA_n, G_N, H_N, respectively.
Answer» `H_1gtH_2gtH_3gt......` `H_1gtH_3gtH_5gt......`and `H_2ltH_4ltH_6lt......` `H_1ltH_2ltH_3lt......` `H_1ltH_3ltH_5lt......` ANS `H_2gtH_4gtH_6gt......` ANSWER :C

Discussion

2816.	The arithmetic mean and geometric mean of two numbers are 10 and 18 respectively. What is the harmonic mean of the numbers
Answer» `50/7` `90/7` `40/3` `30/7` ANSWER :A

Discussion

2817.	Let A_1, G_1, H_1 denote the arithmetic, geometric and harmonic means, respectively, of two distinct positive numbers. For nge2, let A_(n-1) and H_(n-1) has arithmetic, geometric and harmonic means as A_n, G_n, H_n respectively. Which of the following statements is correct?
Answer» `G_1gtG_2gtG_3gt....` `G_1ltG_2ltG_3lt....` `G_1=G_2=G_3=....` `G_1ltG_3ltG_5gt....` and `G_2gtG_4gtG_6gt....` ANSWER :C

Discussion

2818.	Total number of cars of models P, Q and T manufacured in 2012 is
Answer» a.245000 b.227500 C.210000 d.192500 Answer :C

Discussion

2819.	Kamal bought a house in Sushant city, whose sale price was ₹ 8 lakh. He availed 20% discount as an early bird offer and then 10% discount due to cash payment. After that he spent 10% of the cost price in interior decoration and lawn of the house. At what price should he sell the house to earn a profit of25%
Answer» ₹ 9 lakh ₹ 7.99 lakh ₹ 7.92 lakh none of these Answer :C

Discussion

2820.	Each of the sides of a quadrilateral is a natural number and the perimeter of the quadrilateral is always 12 units. Find the number of combinations of various lengths of the sidesof the quadrilateral.
Answer» 8 10 5 none of these Answer :A

Discussion

2821.	Find the value of sin^(2)1^(@)+sin^(2)2^(@)+sin^(2)3^(@)+ ----+sin^(2)87^(@)+sin^(2)88^(@)+sin^(2)89^(@)+sin^(2)90^(@).
Answer» `44(1)/(2)` 44 `45(1)/(2)` N.O.T. Answer :C

Discussion

2822.	Find the average of factor 60.
Answer» 12 13 14 16 Answer :C

Discussion

2823.	9 women con complete a piece of work in 19 days. How many days will 18 women take to complete the same piece of work ?
Answer» 12 days 6.5 days 9 days None of these Solution :`M_(1) D_(1) = M_(2) D_(2)` `RARR 9xx19=18xxD_(2)` `rArr D_(2) = (9xx19)/18=9.5` days

Discussion

2824.	If x:y::5:2, then (x ^(2) +y)/(x + y ^(2)) =?
Answer» 5 4 2 Can't be DETERMINED ANSWER :D

Discussion

2825.	If (x+y+z)=0 then the value of (x^3+y^3+z^3) is:
Answer» `3x^3y^3z^3` 3xyz xyz 3(x+y+z) ANSWER :B

Discussion

2826.	A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used ?
Answer» A) 3 months B) 6 months C) 10 months D) 12 months Answer :RS. 57600,Rs. 62400

Discussion

2827.	Arun bought toffees at 6 for a rupee. How many for a rupee he should sell to gain 20%?
Answer» 3 4 5 Can’t be determined Answer :C

Discussion

2828.	A, B and C are three partners in a business. The profit share of A is 3/16 of the profit and B's share is 1/4 of the profit. If C receives Rs. 243, then the amount received by B will be:
Answer» ANSWER :RS. 108

Discussion

2829.	How much Pepsi at rs 6 a litre is added to 15 litre of 'dew' at rs 10 a litre so that the price of the mixture be rs 9 a litre?
Answer» 5 8 10 none of these Answer :A

Discussion

2830.	There are total 100 coins consisting of 20 paise, 50 paise and Re 1 in the ratio fo 7:8:5. What is the no. of coins of 50 paise if the difference between the amout yielded by 20 paise and Re. 1 coin is Rs18?
Answer» 32 40 26 56 Answer :B

Discussion

2831.	ABC is an isosceles triangle with AB = AC. A circle through B touching AC at the middle point intersects AB at P. Then AP : AB is :
Answer» 10 CM 5 cm 7.5 cm NONE of these ANSWER :D

Discussion

2832.	Two aeroplanes start from the same place in opposite directions one goes towards east at 320 km/h and the other goes towards west at 400 km/h what time will they take to be 720 km apart?
Answer» 4 h 3h 1 h 1.5 h Answer :C

Discussion

2833.	If x be real, find the maximum value of 7+10x-5x^(2).
Answer» ANSWER :12

Discussion

2834.	On the last day of their college all the 300 girls had a girls' night out at Khadakwasla, where they saw some couples having fun around their resort. Reminiscent, of their moments spent in the past three years at Pune campus most of them were quick to flaunt that they dated a guy in their college. However, none claimed that they dated more than one guy in the past 3 years. If a girl dated a guy for 0
Answer» (a) 225 (B) 250 (C) 262 (d) 310 Answer :C

Discussion

2835.	Find the no. of zeros in the product of (5 xx 10 xx 25 xx 40 xx 50 xx 55 xx 65 xx 125 xx 80)
Answer» 13 9 4 5 Answer :B

Discussion

2836.	((13)^(3)+7^(3))/((13)^(2)+7^(2)-?)=20
Answer» 6 20 91 104 Solution :LET `(13^(3)+7^(3))/(13^(2)+7^(2)-X)=20`. Then `(13^(3)+7^(3))/(13+7)=13^(2)+7^(2)-x` `HARR 13^(2)+7^(2)-13xx7=13^(2)+7^(2)-x` `hArr x=13xx7=91`.

Discussion

2837.	If one root of a quadratic equation is sqrt8 then what would definitely, be the other root?
Answer» A) `SQRT(-8` B) `2SQRT2` C) `isqrt8` D) none of these Answer :D

Discussion

2838.	250 men took a dip in a water tank at a time, which is 80m xx 50 m. What is the rise in the water level if the average displacement of 1 man is4 m^(3) ?
Answer» 22 cm 25 cm 18 cm 30 cm ANSWER :B

Discussion

2839.	AB and CD are 2 chords of circle such that AB = 8 cm, CD = 10 cm distance b/wchord is 2 cm . If chords are on same side find radius
Answer» ANSWER :`r = (5)/(4) SQRT(17)` CM

Discussion

2840.	Find the number of zeros in the product of 10!.
Answer» SOLUTION :`10! = 1xx2xx3xx4xx5xx6xx7xx8xx9xx10` It is OBVIOUS from the above expression that there are only two 5S and EIGHT 2S

Discussion

2841.	Study the following graph carefully and answer the questions that follow In whichmatchthe totalrunsscored by India and England togetheris thethirdhighest/lowest ?
Answer» 1 2 3 4 Answer :A

Discussion

2842.	(A + B) can do a piece of work in 5 days. If A works with twice of his efficiency and B works with (1)/(3)of his efficiency, then work will be completed in 3 days. In how many days will A do this work alone ?
Answer» ANSWER :`6(1)/(4)` DAYS

Discussion

2843.	If 2s = a+b+c, then the value of (s-a)^2 + (s-b)^2 + (s-c)^2 + s^2-a^2-b^2-c^2 will be :
Answer» -1 1 2 0 Answer :D

Discussion

2844.	A firm produces 50 units of a good for Rs. 320 and 80 units for Rs. 380 . Supposing that the cost curve is a straight line, estimate the cost of producing 110 units :
Answer» ₹ 330 ₹ 1665 ₹ 440 ₹ 365 Answer :C

Discussion

2845.	What is the area of the triangle whose side are 84 m , 80 m and 52 m ?
Answer» 1620 SQ. m 2016 sq. m 1818 sq. m none of these Answer :B

Discussion

2846.	The equation (x)^(2)=[x]^(2)+2x where [x] and (x) are the integers just less than or equal to x and just greater than or equal to x respectively, then number of values of x satisfying the given equation
Answer» `0,n+1/2` `0,n-1/2` `0,1//2` NONE of these Answer :D

Discussion

2847.	twofaircoinsaretossed simultaneously . Findthe probabilityof Gettingonlyone head .
Answer» `1//2` `1//3` `2//3` `3//4` ANSWER :A

Discussion

2848.	There are three circles,with radii 1 cm, 2 cm and 3 cm, tangent to each other. Find the radius of the fourth circle, which is tangent to all the existing circles
Answer» ROOT6 cm 2 6/2 BOTH (A) AND ( C ) ANSWER :D

Discussion

2849.	P and Q invested Rs 5400 and Rs 7200 for 4 years and 3 years respectively. It the total simple interest received by both of them is Rs 3456 and the rate charged by them in the ratio of 3:5. At what rate did P invest the money.
Answer» 0.06 0.075 0.1 `12.5%` ANSWER :RS. 2772, Rs. 1485 and Rs. 693

Discussion

2850.	A boat takes 10 hours to travel 30 km upstream and 44 km downstream, but it takes 13 hours to travel 40 km upstream and 55 km downstream. Find the speed of the boat in still water and the speed of the stream.
Answer» SOLUTION :N/A

Discussion

Explore topic-wise InterviewSolutions in .

The odds in favourif an eventare 2 :7findtheprobabilityof occurrence of thisevent .

sqrt(?)+43=sqrt(19881)

Let f(x)= x/(x+3), then 1/f(x+1)-f(1/(x+1))= ?

Let the vertices of a triangle ABC be (4,3) , (7,-1) , (9,3) then the triangle is :

A shopkeeper purchased a chair of M.P. Rs 600 after getting two consecutive discount of 15% and 20%. He invested Rs 28 on transport and sold it for Rs 545 . Find his profit%.

A starts a business with ? 2000 and B joins him after 3 months with ? 8000. Find the ratio of their profits at the end of the year.

Study the following bar graph carefully and answer the questions. The ratio of the total enrollments in the year 1980 and 2000 at the State University and Central University is

Divide Rs. 6940 in such a way that a ges 2/3 rd of what B gets and B gets 3/5 thof what C gets? What is the share of A and B together?

A, B and C shot to hit a target. If A hits the target 4 times in 5trails, B hit it 3 times in 4 trials and C hits 2 time in 3 trials; what isthe probability that the target is hit by a least 2 person?

If x^2+y^2 = 25 and xy = 12, then the value of x^(-1)+y^(-1) is :

The number of 4 digit numbers that can be made using exactly three digits out of 1,2,3,4,5, and 6.

Find max^(m)&min^(m) value of sin^(2)theta+costheta

Average price of f 100 articles is 46. Later it was found that 16 was read as 61 and 43 was read as 34 and the articles were 90 instead of 100. Find the actual average.

LetA_1 , G_1, H_1denote the arithmetic, geometric and harmonic means respectively, of two distinct positive numbers. Forn >2,letA_(n-1),G_(n-1) and H_(n-1) has arithmetic, geometric and harmonic means asA_n, G_N, H_N, respectively.

The arithmetic mean and geometric mean of two numbers are 10 and 18 respectively. What is the harmonic mean of the numbers

Let A_1, G_1, H_1 denote the arithmetic, geometric and harmonic means, respectively, of two distinct positive numbers. For nge2, let A_(n-1) and H_(n-1) has arithmetic, geometric and harmonic means as A_n, G_n, H_n respectively. Which of the following statements is correct?

Total number of cars of models P, Q and T manufacured in 2012 is

Each of the sides of a quadrilateral is a natural number and the perimeter of the quadrilateral is always 12 units. Find the number of combinations of various lengths of the sidesof the quadrilateral.

Find the value of sin^(2)1^(@)+sin^(2)2^(@)+sin^(2)3^(@)+ ----+sin^(2)87^(@)+sin^(2)88^(@)+sin^(2)89^(@)+sin^(2)90^(@).

Find the average of factor 60.

9 women con complete a piece of work in 19 days. How many days will 18 women take to complete the same piece of work ?

If x:y::5:2, then (x ^(2) +y)/(x + y ^(2)) =?

If (x+y+z)=0 then the value of (x^3+y^3+z^3) is:

A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used ?

Arun bought toffees at 6 for a rupee. How many for a rupee he should sell to gain 20%?

A, B and C are three partners in a business. The profit share of A is 3/16 of the profit and B's share is 1/4 of the profit. If C receives Rs. 243, then the amount received by B will be:

How much Pepsi at rs 6 a litre is added to 15 litre of 'dew' at rs 10 a litre so that the price of the mixture be rs 9 a litre?

There are total 100 coins consisting of 20 paise, 50 paise and Re 1 in the ratio fo 7:8:5. What is the no. of coins of 50 paise if the difference between the amout yielded by 20 paise and Re. 1 coin is Rs18?

ABC is an isosceles triangle with AB = AC. A circle through B touching AC at the middle point intersects AB at P. Then AP : AB is :

Two aeroplanes start from the same place in opposite directions one goes towards east at 320 km/h and the other goes towards west at 400 km/h what time will they take to be 720 km apart?

If x be real, find the maximum value of 7+10x-5x^(2).

Find the no. of zeros in the product of (5 xx 10 xx 25 xx 40 xx 50 xx 55 xx 65 xx 125 xx 80)

((13)^(3)+7^(3))/((13)^(2)+7^(2)-?)=20

If one root of a quadratic equation is sqrt8 then what would definitely, be the other root?

250 men took a dip in a water tank at a time, which is 80m xx 50 m. What is the rise in the water level if the average displacement of 1 man is4 m^(3) ?

AB and CD are 2 chords of circle such that AB = 8 cm, CD = 10 cm distance b/wchord is 2 cm . If chords are on same side find radius

Find the number of zeros in the product of 10!.

Study the following graph carefully and answer the questions that follow In whichmatchthe totalrunsscored by India and England togetheris thethirdhighest/lowest ?

(A + B) can do a piece of work in 5 days. If A works with twice of his efficiency and B works with (1)/(3)of his efficiency, then work will be completed in 3 days. In how many days will A do this work alone ?

If 2s = a+b+c, then the value of (s-a)^2 + (s-b)^2 + (s-c)^2 + s^2-a^2-b^2-c^2 will be :

A firm produces 50 units of a good for Rs. 320 and 80 units for Rs. 380 . Supposing that the cost curve is a straight line, estimate the cost of producing 110 units :

What is the area of the triangle whose side are 84 m , 80 m and 52 m ?

The equation (x)^(2)=[x]^(2)+2x where [x] and (x) are the integers just less than or equal to x and just greater than or equal to x respectively, then number of values of x satisfying the given equation

twofaircoinsaretossed simultaneously . Findthe probabilityof Gettingonlyone head .

There are three circles,with radii 1 cm, 2 cm and 3 cm, tangent to each other. Find the radius of the fourth circle, which is tangent to all the existing circles

P and Q invested Rs 5400 and Rs 7200 for 4 years and 3 years respectively. It the total simple interest received by both of them is Rs 3456 and the rate charged by them in the ratio of 3:5. At what rate did P invest the money.

A boat takes 10 hours to travel 30 km upstream and 44 km downstream, but it takes 13 hours to travel 40 km upstream and 55 km downstream. Find the speed of the boat in still water and the speed of the stream.