8677 + Interview Questions in Maths in Class 14 Page 97 InterviewSolution

4801.	Rajesh spent rs. 44620 on diwali shopping, rs. 32764 on buying computer and the remaining 32% of the total amount he had as cash with him. What was the total amount?
Answer» a. RS. 36416 b. rs.113800 c. rs. 77384 d. NONE of these Answer :D

Discussion

4802.	8 men and 4 women together can complete a piece of work in 6 days. The work done by a man in one day is diuble the work done by a woman in one day. If 8 men and 4 women started working and after 2 days 4 men left and 4 new women joined, in how many more days will the work be complete?
Answer» 5 days 8 days 6 days 4 days SOLUTION :`1M = 2W` `(8M+ 4W)xx(6days-2 days)= (4 M +8W)xx X `days `(8XX 2W +4W) xx(6-2)` days `= (4xx2W+8W)xx x` days `(16 +4) W xx 4 days = 16 W xx x` days `THEREFORE x = (20 xx4)/16 = 5 days [M_(1) D_(1) = M_(2) D_(2)]`

Discussion

4803.	On selling an article at ₹ 530,the gain is 20% more than the loss incurred on selling it at ₹ 475.In order to gain 20%, the selling price will be
Answer» ₹ 900 ₹ 600 ₹ 700 ₹ 500 Answer :B

Discussion

4804.	A milk seller has a milk of rs 100 per litre.In what ratio should water be mixed in that milk, so that after selling the mixture at rs 80 per litre, he may get a profit of 50%?
Answer» `7 : 8` `7 : 9` `9 : 7` `7 : 5` ANSWER :A

Discussion

4805.	Four consecutive even numbers are such that 3 times of the first number is equal to twice of the third of the number The sum of all the four numbers is :
Answer» 20 40 44 can't be DETERMINED ANSWER :C

Discussion

4806.	If D = 4477, then the roots are
Answer» EQUAL and real irrational conjugate pairs rational and unequal Answer :B

Discussion

4807.	A liquid "P" is1 (3) /(7)times as heavy as water and water is 1 (2)/(5) times as heavy as another liquid 'O'. The amount of liquid 'P' that must be added to 7 litres of the liquid 'Q' so that the mixture may weigh as much as an equal volume of water, will be
Answer» ANSWER :`14 " LT "`

Discussion

4808.	The ratio of working efficiency of A and B is 5:3 and the ratio of efficiency of B and C is 5:8. Who is the most efficient?
Answer» A B C can't be determined Answer :A

Discussion

4809.	14p^2+27p+9=0 56q^2-3q-9=0
Answer» <P>`pltq` `pgtq` `pleqq` p = q Answer :A

Discussion

4810.	if log 3 = 0.4711, find the number of digits in 3^(43)
Answer» Solution :Let `x=3^(43)thereforelogx=LOG3^(43)=43log3=43xx0.4771=20.5153` Since the characteristic of `log3^(43)` is 20, then NUMBER of digits in `3^(43)` is `(20+1)=21.`

Discussion

4811.	The ratio between curved surface area and total surface area is 2:3. If the total surface area be 924 cm^(2) , find the volumeof the cylinder :
Answer» `2156 cm^3` `1256 cm^3` `1265 cm^3` NONE of these Answer :A

Discussion

4812.	Find the number of straight lines formed by joining 6 different points on a plane, no three of them being collinear.
Answer» 21 15 16 24 Answer :B

Discussion

4813.	A sum amounts to Rs. 2916 in 2 yr and Rs. 3149.28 in 3 yr at compound interest. The sum is
Answer» 1500 2500 2000 3000 Answer :B

Discussion

4814.	8(7)/(7)+30%"of"60+18/(9)=?
Answer» a) 32 b) 34 C) 29 d) 44 Answer :C

Discussion

4815.	A palm tree 90 ft high, is broken by the wind and its upper part meet the ground at an angle of 30^(@). Find the distance of the point where the top of the tree meets the ground from its root:
Answer» 43.69 ft 51.69 ft 60 ft 30 ft Answer :B

Discussion

4816.	Findthe number of waysin which10differentflowerscan bestrungtoformagarlandso that3 particularflowersare alwaystogether.
Answer» 30240 30420 23400 none of (a),(B),(C ) ANSWER :A

Discussion

4817.	What is the maximum value of the function y=(2x^(2)+3x+4)/(x^(2)+x+3)
Answer» SOLUTION : THEREFORE The maximum VALUE of the EXPRESSION is 23/11 (ABD minimum value is 1)

Discussion

4818.	Two alloys made up of copper and tin. The ratio of copper and tin in the first alloy is 1:3 in the second alloy it is 2:5 in what ratio the two alloys should be mixed to obtain a new alloy in which the ratio of tin and copper be 8:3?
Answer» `3:5` `4:7` `3:8` `5:11` ANSWER :B

Discussion

4819.	Tinkawala purchased the articles for ₹ 123684. He sold 60% of those at a profit of 16.66% and rest at a loss. Find the loss percentage on the remaining if the overall loss is 14%?
Answer» `20%` `30%` `60%` `66.66%` ANSWER :C

Discussion

4820.	Find the number of non negative integral solutions of: x_1 +x_2 +x_3 +4x_4=20
Answer» a. 536 b. `""^(43)C_3` C. 666 d. NONEOF these Answer :C

Discussion

4821.	The ages of Samir and Tanuj are in the ratio of 8:15. After 9years the ratio of their ages will be 11:18. what is the difference of their ages?
Answer» a. 20years B. 21years c. 35years d. NONE of these Answer :B

Discussion

4822.	If the comprehensive graph of quadratic function lies in all the.four quadrants, then roots are necessarily
Answer» REAL non-real real and equal equal and irrational Answer :A

Discussion

4823.	In a 4 km race A wins by 600 m over B.B can give start of 200 m to C in a 4 km race .By how much distance C gets startup so that the race between A and C ends in dead heat in the same race of 4 km?
Answer» Answer :Therefore, in 4000 m race A run 4000 m, B run 3400 m and C run 3230 m. THUS C can get 770 m start up from A.

Discussion

4824.	A refrigerator and a camera were sold for ₹12,000 each. The refrigerator was sold at a loss of 20% of the cost and the camera at a gain of 20% of the cost. The entire transaction results in which one of the following?
Answer» No loss or gain Loss of ₹ 1000 Gain of ₹ 1000 Loss of ₹ 2000 Solution :`x +y + (xy)/(100) = + 20 -20 - (20 xx 20)/(100)= - 4%` Total sellingpriceof a refrigerator and a camera `= 12000 + 12000 = ₹ 24000` Now , loss IS4%. `CP xx (96)/(100) = 24000` CP = ₹ 25000 Loss amount= (25000- 24000) = ₹10000 Alternate Mehod: Whenitems aresold at same PRICEAND PRECENTAGE ofprofit & loss is same, thenloss occuured is always- `(("common loss or gain")/(10))` `= ((20)/(10))^(2) = 4% loss` `=1000 ₹ ("for" 25000)`

Discussion

4825.	ABCD is a trapezium, such that AB = CD and AD \|\| BC. AD = 5cm, BC = 9cm. If area of ABCD is 35 sq.cm then CD is :
Answer» `SQRT(29)` CM 5cm 6 cm `sqrt(21)` cm Answer :A

Discussion

4826.	A person goes to his office at 1/4th of the speed at which he returns from his office. If the average speed during the whole trip is 15 km/h, then what is the speed of the person while he was going to his office?
Answer» `(17)/(3) km//h` `9 km//h` `(15)/(2)km//h` `(75)/(8)km//h` ANSWER :D

Discussion

4827.	When 58123 and 59059 are divided by a three digit number N, the same remainder is obtained. How many values can N take?
Answer» 2 3 6 7 Answer :D

Discussion

4828.	Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats
Answer» A) 1:2:3 B) 2:3:4 C) 3:4:5 D) 4:5:6 Answer :A

Discussion

4829.	An unbiased die isrolledfindthe probability ofgettinga multiple of 3.
Answer» `1/6` `1/3` `5/6` NONE of these Answer :B

Discussion

4830.	Rs. 16224 is to be paid in two years. Find each installment if rate of interest is 4%
Answer» ANSWER :RS. 8601.90

Discussion

4831.	What is the square root of 151321 ?
Answer» ANSWER :389

Discussion

4832.	A function is defined as f(x)=a^x AA x in R and 0ltalt1, then which of the following is true? (i) It is an increasing function (ii) It is a decreasing function All such functions must meet at (0,1)
Answer» only (i) is TRUE only (II) is true (i) and (III) are true (ii) and (iii) are true Answer :D

Discussion

4833.	If y=" min "(x^(2)+2, 6-3x), then the greatest value of y for x gt0
Answer» 1 2 3 none of these Answer :C

Discussion

4834.	Consider the following statements: (A) a^0 =1 , a ne 0 (R) a^m + a^n = a^(m - n), m , n being integers, Of these statements :
Answer» both A and R are true and R is the CORRECT explanation of A both A and R are true and R is the correct explanation of A A is true , but R is false A is false , but R is true ANSWER :A

Discussion

4835.	Twoparallellineseachhavea numberof distinctpointsmakedon them. On one linethereare 2pointsP and Qon theotherlinethereare 8 points . Findthe numberofdifferenttriangles whichcouldbe formedhaving3 of the10pointas vertices
Answer» 216 126 64 32 Answer :C

Discussion

4836.	1.bar(27) in the form (p)/(q) is equal to
Answer» `(127)/(100)` `(73)/(100)` `(14)/(11)` `(11)/(14)` Answer :C

Discussion

4837.	In a certain examination, the average marks of an examinee is 64 per paper. If he had obtained 18 more marks for his Mathematics paper and 4 more marks for his English paper, his average per paper would have been 66. How many papers were there in the examination?
Answer» 11 13 9 none of the above ANSWER :A

Discussion

4838.	Ajay has 7 relatives, 3 men and 4 women. His wife Kajol also has 7 relatives, 3 women and 4 men. In how many ways can they invite 3 men and 3 women so that 3 of them are the Ajay's relatives and 3 his wife Kajol's?
Answer» 485 458 365 none of these Answer :A

Discussion

4839.	In the previous problem (no.27), the number of times each child will go to the park is :
Answer» A) 14 B) 8 C) 21 D) NONE of these Answer :C

Discussion

4840.	Among the equationsx + 2 y + 9 = 0 , 5 x - 4 = 0 ,2y - 13 = 0, 2 x- 3 y = 0theequation of thestraightline passing throughorigin is
Answer» `2x - 2y = 0` `x + 2y + 9 = 0` `5x - 4 = 0` `2y - 13 = 0` ANSWER :A

Discussion

4841.	Simplify the following expressions : 36 div 4 " of" 1/2 + 3/4 xx 3/2.
Answer» SOLUTION :`36 DIV 4 of 1/2 + 3/4 XX 3/2 = 36 div 4 xx 1/2 + 3/4 xx 3/2 = 19 1/8`

Discussion

4842.	Amitabh, Brijesh and Kamlesh enter a partnership with shares in the ratio of 7/2: 4/3: 6/5After 4 months, Amitabhincreases his share by 50% . If the total profit at the end of the year be X 21600, what will be the share of Brijesh in the profit ?
Answer» X 8000 X 12000 X 4000 X 7000 Answer :C

Discussion

4843.	A person sells T.V. at 25% profit. If he gets profit equal to 25% S.P. then he would gain (5% of C.P. + 80 Rs) more. Find C.P. of T.V.?
Answer» ANSWER :RS. 6400

Discussion

4844.	cos theta/(1 - sin theta) - costheta/(1 + sin theta) =2,sin satisfied by which one of the following values of theta ?
Answer» `pi//2` `pi//3` `pi//4` `pi//6` ANSWER :C

Discussion

4845.	A trader mixes 25% kerosene to his petrol and then he sells the whole mixture at the price of petrol. If the cost price of kerosene be 50% of the cost price of petrol/what is the net profit percentage?
Answer» `11 1/9%` `12 1/9%` `9 1/11%` `20%` ANSWER :A

Discussion

4846.	A, B and C can finish a piece of work in 10 days, 12 days and 15 days respectively. A and B started working together. After working for one day A left the work while C joins. After two days B left the work while A joins. There is holiday on fourth day and then process is repeated till the work in finished. In how many days work would be finished?
Answer» ANSWER :7 DAYS

Discussion

4847.	If costs Rs. 10 a kilometer to fly and Rs. 2 a km to drive. If one travels 200 km covering x km of the distance by flying and the rest by driving then the cost of the trip is :
Answer» RS. 2000 Rs. 24000 Rs. (8X + 400) Rs. (12x + 400) ANSWER :C

Discussion

4848.	Three equal circleseach of radius 1 cm are circumscribed by a larger circle. Find the perimeter of the circumscribing circle :
Answer» `(sqrt(3))/(2)(2- sqrt(3)) pi cm ` `((2 + sqrt(3))/( sqrt(3)))` cm `(2)/(sqrt(3)) ( 2+ sqrt(3)) pi cm ` none of the above ANSWER :C

Discussion

4849.	Find the sum of the three number in G.P. whose product is 216 and the sum of the products of them taken in pairs is 126:
Answer» 28 21 35/4 none Answer :B

Discussion

4850.	Sony is one-fifth the age of her mother 15 years ago and Sony’s brother is three-fifth the age of his mother 10 years ago. If the sum of Sony and her brother’s ages is 31 then how old is Sony's mother ?
Answer» A) 40 B) 50 C) 60 D) 70 Answer :`20%`

Discussion

Explore topic-wise InterviewSolutions in .

Rajesh spent rs. 44620 on diwali shopping, rs. 32764 on buying computer and the remaining 32% of the total amount he had as cash with him. What was the total amount?

8 men and 4 women together can complete a piece of work in 6 days. The work done by a man in one day is diuble the work done by a woman in one day. If 8 men and 4 women started working and after 2 days 4 men left and 4 new women joined, in how many more days will the work be complete?

On selling an article at ₹ 530,the gain is 20% more than the loss incurred on selling it at ₹ 475.In order to gain 20%, the selling price will be

A milk seller has a milk of rs 100 per litre.In what ratio should water be mixed in that milk, so that after selling the mixture at rs 80 per litre, he may get a profit of 50%?

Four consecutive even numbers are such that 3 times of the first number is equal to twice of the third of the number The sum of all the four numbers is :

If D = 4477, then the roots are

A liquid "P" is1 (3) /(7)times as heavy as water and water is 1 (2)/(5) times as heavy as another liquid 'O'. The amount of liquid 'P' that must be added to 7 litres of the liquid 'Q' so that the mixture may weigh as much as an equal volume of water, will be

The ratio of working efficiency of A and B is 5:3 and the ratio of efficiency of B and C is 5:8. Who is the most efficient?

14p^2+27p+9=0 56q^2-3q-9=0

if log 3 = 0.4711, find the number of digits in 3^(43)

The ratio between curved surface area and total surface area is 2:3. If the total surface area be 924 cm^(2) , find the volumeof the cylinder :

Find the number of straight lines formed by joining 6 different points on a plane, no three of them being collinear.

A sum amounts to Rs. 2916 in 2 yr and Rs. 3149.28 in 3 yr at compound interest. The sum is

8(7)/(7)+30%"of"60+18/(9)=?

A palm tree 90 ft high, is broken by the wind and its upper part meet the ground at an angle of 30^(@). Find the distance of the point where the top of the tree meets the ground from its root:

Findthe number of waysin which10differentflowerscan bestrungtoformagarlandso that3 particularflowersare alwaystogether.

What is the maximum value of the function y=(2x^(2)+3x+4)/(x^(2)+x+3)

Two alloys made up of copper and tin. The ratio of copper and tin in the first alloy is 1:3 in the second alloy it is 2:5 in what ratio the two alloys should be mixed to obtain a new alloy in which the ratio of tin and copper be 8:3?

Tinkawala purchased the articles for ₹ 123684. He sold 60% of those at a profit of 16.66% and rest at a loss. Find the loss percentage on the remaining if the overall loss is 14%?

Find the number of non negative integral solutions of: x_1 +x_2 +x_3 +4x_4=20

The ages of Samir and Tanuj are in the ratio of 8:15. After 9years the ratio of their ages will be 11:18. what is the difference of their ages?

If the comprehensive graph of quadratic function lies in all the.four quadrants, then roots are necessarily

In a 4 km race A wins by 600 m over B.B can give start of 200 m to C in a 4 km race .By how much distance C gets startup so that the race between A and C ends in dead heat in the same race of 4 km?

A refrigerator and a camera were sold for ₹12,000 each. The refrigerator was sold at a loss of 20% of the cost and the camera at a gain of 20% of the cost. The entire transaction results in which one of the following?

ABCD is a trapezium, such that AB = CD and AD || BC. AD = 5cm, BC = 9cm. If area of ABCD is 35 sq.cm then CD is :

A person goes to his office at 1/4th of the speed at which he returns from his office. If the average speed during the whole trip is 15 km/h, then what is the speed of the person while he was going to his office?

When 58123 and 59059 are divided by a three digit number N, the same remainder is obtained. How many values can N take?

Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats

An unbiased die isrolledfindthe probability ofgettinga multiple of 3.

Rs. 16224 is to be paid in two years. Find each installment if rate of interest is 4%

What is the square root of 151321 ?

A function is defined as f(x)=a^x AA x in R and 0ltalt1, then which of the following is true? (i) It is an increasing function (ii) It is a decreasing function All such functions must meet at (0,1)

If y=" min "(x^(2)+2, 6-3x), then the greatest value of y for x gt0

Consider the following statements: (A) a^0 =1 , a ne 0 (R) a^m + a^n = a^(m - n), m , n being integers, Of these statements :

Twoparallellineseachhavea numberof distinctpointsmakedon them. On one linethereare 2pointsP and Qon theotherlinethereare 8 points . Findthe numberofdifferenttriangles whichcouldbe formedhaving3 of the10pointas vertices

1.bar(27) in the form (p)/(q) is equal to

In a certain examination, the average marks of an examinee is 64 per paper. If he had obtained 18 more marks for his Mathematics paper and 4 more marks for his English paper, his average per paper would have been 66. How many papers were there in the examination?

Ajay has 7 relatives, 3 men and 4 women. His wife Kajol also has 7 relatives, 3 women and 4 men. In how many ways can they invite 3 men and 3 women so that 3 of them are the Ajay's relatives and 3 his wife Kajol's?

In the previous problem (no.27), the number of times each child will go to the park is :

Among the equationsx + 2 y + 9 = 0 , 5 x - 4 = 0 ,2y - 13 = 0, 2 x- 3 y = 0theequation of thestraightline passing throughorigin is

Simplify the following expressions : 36 div 4 " of" 1/2 + 3/4 xx 3/2.

Amitabh, Brijesh and Kamlesh enter a partnership with shares in the ratio of 7/2: 4/3: 6/5After 4 months, Amitabhincreases his share by 50% . If the total profit at the end of the year be X 21600, what will be the share of Brijesh in the profit ?

A person sells T.V. at 25% profit. If he gets profit equal to 25% S.P. then he would gain (5% of C.P. + 80 Rs) more. Find C.P. of T.V.?

cos theta/(1 - sin theta) - costheta/(1 + sin theta) =2,sin satisfied by which one of the following values of theta ?

A trader mixes 25% kerosene to his petrol and then he sells the whole mixture at the price of petrol. If the cost price of kerosene be 50% of the cost price of petrol/what is the net profit percentage?

If costs Rs. 10 a kilometer to fly and Rs. 2 a km to drive. If one travels 200 km covering x km of the distance by flying and the rest by driving then the cost of the trip is :

Three equal circleseach of radius 1 cm are circumscribed by a larger circle. Find the perimeter of the circumscribing circle :

Find the sum of the three number in G.P. whose product is 216 and the sum of the products of them taken in pairs is 126:

Sony is one-fifth the age of her mother 15 years ago and Sony’s brother is three-fifth the age of his mother 10 years ago. If the sum of Sony and her brother’s ages is 31 then how old is Sony's mother ?