8677 + Interview Questions in Maths in Class 14 Page 146 InterviewSolution

7251.	A number divided by 13 leaves a remainder 1 andif the quotient, thus obtained, is divided by 5, we get a remainder of 3.What will be the remainder if the number is divided by 65?16 (b) 18 (c) 28 (d) 40
Answer» 28 16 18 40 Answer :D

Discussion

7252.	Two persons having different productivity of labour, working together can reap a field in 2 days. If one-third of the field was reaped by the first man and rest by the other one working alternatively took 4 days. How long did it take for the faster person to reap the whole field working alone?
Answer» 12 8 6 3 Answer :D

Discussion

7253.	Which of the following equations are equivalent ? 1.((1)/(2)M+(2)/(3)N)^(2) 2.(4)/(9)N^(2)+(1)/(4)M^(2)+(2)/(3)MN3.((M)/(2)+(2)/(3)N)((1)/(2)M-(2)/(3)N) 4.(1)/(4)(M+(4)/(3)N)^(2)
Answer» Only 2 and 3 Only 1 and 4 Only 1 and 2 Only 1,2 and 4 ANSWER :D

Discussion

7254.	A is twice as good a workman as B and together they finish a piece of work in 7 days. In how many days can A alone finish the work?
Answer» 18 20 21 24 Answer :C

Discussion

7255.	The wheel of an engine 300 cm in circumfrence makes 10 revolutions in 6 seconds What is the speed of the wheel (in km/h)?
Answer» 18 20 27 36 Answer :A

Discussion

7256.	A started a business with ₹ 52000 and after 4 months B joined him with ₹ 39000. At the end of the year, out of the total profits B received total ₹ 20000 including 25% of the profits as commission for managing the business. What amount did A receive?
Answer» 20500 21000 20000 30000 Answer :C

Discussion

7257.	The sum of first three terms of a G.P. is 21 and sum of their squares is 189. Find the common ratio :
Answer» 1/2 or 2 3 or 1/3 4 or 1/4 none of these Answer :A

Discussion

7258.	A person bought 50 pens for Rs 50 . He sold 40 pen at 5% loss . At how much profit% he has to sell remaining pens in order to get profit of 10% on whole.
Answer» ANSWER :0.7

Discussion

7259.	log 0.786 is equal to:
Answer» `log786-log3` `log78.6-log100` `log786-3` both(B)and © Answer :D

Discussion

7260.	Evaluate the following : (3 1/3)^3
Answer»

Discussion

7261.	If tanx+secx=2cot(90^(@)+x), then cosecx=?
Answer» `-1` `-3` `-5` `-9` ANSWER :B

Discussion

7262.	The product o two numbers ab7 and cd5 could be where ab7 and cd5 are individually three digit numbers:
Answer» a. 8135 b. 79236 c. 8735255 d. NONE of these ANSWER :D

Discussion

7263.	The ages of Anushka, Kajal and Charu latha together are 57 years. Bharti is thrice as old as Anushka and Charu latha is 12 years older than Anushka. Then, the respective age of Anushka, Kajal and Charu latha is ?
Answer» A) 27, 9, 21 B) 9, 21, 27 C) 21, 27, 9 D) 9, 27, 21 Answer :Rs. 1130

Discussion

7264.	The simple interest on Rs. 1820 from 9 October 2003 to 21 December 2003 at 7 (1)/(2)% will be
Answer» a) RS 22.50 b) Rs 45.87 c) Rs 27.30 d) Rs 28.80 Answer :Rs. 1052

Discussion

7265.	Solve 524 xx 19
Answer» SOLUTION :

Discussion

7266.	A dealer buys a washing machine, listed at ₹ 10000 and gets 10% and 20% successive discounts. He spends 10% of his CP on transport. At what price (in rupees) should he sell the washing machine to earn a profit of 10%?
Answer» 8722 7892 8712 8840 Answer :C

Discussion

7267.	If the two factors of any quadratic equation are(x+sqrt3) and (x-sqrt3) , how many such equations are possible?
Answer» A)0 B)1 C)2 D)infinite Answer :D

Discussion

7268.	With a given rate of simple interest, the ratio of principal and amount for a certain period of time 4:5. After 3 years, with the same rate of interest, the ratio of the principal and amont becomes 5:7. the rate of interest is:(दी गयी साधारण बियाज की किसी दर से किसी समयवधि के लिए मूलधन तथा मिश्रधन 4 : 5 के अनुपात में है 3 वर्ष के उपरांत उसी बियाज की दर से मूलधन से अनुपात 5 : 7 हो जाता है बियाज की दर क्या होगी )
Answer» ANSWER :5 YEARS

Discussion

7269.	What will be the C.I. of Rs. 10,000 at 5% per annum for 3 years.
Answer» ANSWER :RS. 1576.25

Discussion

7270.	Weight of a sumo is jointly varies as his height and his age. When height is 1.2 m and age is 20 years his weight is 48 kg. Find the weight of the sumo when his height is 1.5 metre and age is 30 years :
Answer» 60 kg 72 kg 90 kg 58 kg Answer :C

Discussion

7271.	Howmanynumberseachlyingbetween9 and 1000 canbe formedwiththe digits 0,1,2,3,7,8( numbercan berepeated) ?
Answer» 30 120 210 90 Answer :C

Discussion

7272.	Let O be the in-centre of a triangle ABC and D be a point on the side BC of Delta ABC, such that OD_\|_BC If angle BOD=15^(@), then angle ABC=?
Answer» ANSWER :`150^(@)`

Discussion

7273.	p @ q = p^2 - 20 if p > q , q 2 q = p^2 + 20 if p le q, then for a = 5 and b = 4 the value of [(a @ b) @ (a @ b)] - [(b @ a) @ (b @ a)] is :
Answer» 416 -461 -1271 none of these Solution :`[5@4)@(5@4)]-[(4@5)@(4@5)] = [5 @ 5) - (36@36)] = 45-1316 = -1271

Discussion

7274.	The value of 4 xx 100 + 3 xx 10 + 9/1000 is:
Answer» 430.09 430.0009 430.009 430.9 Answer :C

Discussion

7275.	If P is a point within a rectangle ABCD, then:
Answer» `AP^2+PC^2=BP^2+PD^2` `AP^2+BP^2=PC^2+PD^2` AP+PC=BP+PD `APxxPC=BPxxPD` ANSWER :A

Discussion

7276.	A tower standing on a horizontal plane subtends a certain angle at a point 160 m apart from the foot of the tower. On advancing 100 m towards if, the tower is found to subtend an angle twice as before. The height of the tower is -
Answer» 80M 100 m 160 m 200 m Answer :A

Discussion

7277.	Convert the following percentage into decimals : (i) 36% (ii) 250% (iii) 57.5% (iv) 17(1)/(5)% (v) 7%
Answer» SOLUTION :`17 1/5% =17.2% =0.172`

Discussion

7278.	The total cost of setting up a sugar cane factory is Rs. 1 crore, which produces 5000 tone er annum. Sugar is being sold at Rs. 18 per kg. Manufacturing cost including raw material is Rs. 3.2 per kg, labour and packing charges are Rs. 1.8 per kg. Maintenance and utilies expenses are Rs. 2 per kg and the general expenses (ie all the rest charges) are Rs. 3 per kg, 20% taxes are being paid of the gross annual earnings, then the net profit of the profuction of the factory per annum is :
Answer» RS. 4.2 crore Rs. 3.2 crore 5.4 crore none of these Answer :B

Discussion

7279.	Convert (100101)_2 into decimal representation.
Answer» SOLUTION :`1xx2^5+0xx2^4+0xx2^3+1xx2^2+0xx2^1+1xx2^0` =32+0+0+4+0+1=37

Discussion

7280.	Check whether 939715 is divisible by 7.
Answer» Solution :Step 1:`939715 RARR 93971 - 5 xx 2 = 93961` Step 2:`93961 rArr 9396 - 1 xx 2 = 9394` Step 3: `9394 rArr 939 - 4 xx 2 = 931` Step 4: `931 rArr 93 - 1 xx 2 = 91` Step 5: `91 rArr 9 - 1 xx 2 = 7` HENCE it is divisible by 7.

Discussion

7281.	In 100 m race ,A runs at 8 km/h. If A gives B a start of 4 m and still beats him by 15 s,then what is the speed of B (m/s) ?
Answer» (1) 1.4 (2) 2.2 (3) 1.6 (4) 2.5 Answer :`=5.76 km//h`

Discussion

7282.	If {x} denotes the fractional part of x, then {5^2/8} is:
Answer» `1/8` `1/4` `5/8` 0.625 Answer :A

Discussion

7283.	There are three categories of jobs A,B and c . The average salary of the students who got the job of A and B categories is 26 lakh per annum. The average salary of the students who got the job of B and C category is 44 lakh per annum and the average salary of those students who got the job of A and C categories 34 lakh per annum. The most appropriate (or closest) range of average salary of all the three categories (if it is known that each student gets only one category of jobs i.e, A, B and C):
Answer» LIES between 30 and 40 lies between 28 and 34 lies between 34 and 43 lies between 29 and 48 Answer :A

Discussion

7284.	The compound interest on a sum of money for 2 years is Rs. 615 and the simple interest for the same period is Rs. 600. Find the principal.
Answer» a. 3000rs. b. 6000rs. c. 6600rs. d. NONE of these ANSWER :A

Discussion

7285.	Find the roots of the rational polynomial equation (x^2-6x+8)/(x+2)=0.
Answer» Solution :`(x^2-6x+8)/(x+2)=0implies((x-4)(x-2))/((x+2))=0implies(x-2)(x-4)=0impliesx=2or4` Therfore there are two SOLUTIONS of the above RATIONAL EQUATION, which are x=2 and 4.

Discussion

7286.	A and B have together three times what B and C have, while A, B, C together have thirty rupees more than that of A. If B has 5 times that of C, then A has
Answer» ₹ 60 ₹ 65 ₹ 75 ₹ 45 Answer :B

Discussion

7287.	The ratio of expenditure and savings is 3:2. If the income increases by 15% and the savings increases by 6%, then by how much per cent should his expenditure increases?
Answer» 25 21 12 24 Answer :B

Discussion

7288.	ABCD is a trapezium withangleA=90^(@) and AB parallel to CD. ThenangleB is :
Answer» `90^@` `90^@-/_C` `360^@-/_C` `180^@-/_C` ANSWER :D

Discussion

7289.	Find the area of Quardi lateral formed by four lines 3x+4y=24," "8x+15y=120 x axis y axis
Answer» ANSWER :54 SQ. UNIT

Discussion

7290.	Howmanyfourdigitnumbers can beformedwiththedigits0,2,3,5,8,9 if (i) repetitionof digits is allowed? (ii )repetitionof digitsis notallowed ?
Answer» ANSWER :`=1080` `=300`

Discussion

7291.	A retail offers the following discount scheme for buyers on an article. I. Two successive discounts of 10%. II. A discount of 12% following by a discount of 8% III. Successive discounts of 15% and 5% IV. A discount of 20% The selling price will be minimum under the scheme.
Answer» ANSWER :IV

Discussion

7292.	Find the value of cot10^(@).cot20^(@).cot60^(@).cot70^(@).cot80^(@).
Answer» 1 `-1` `(1)/(SQRT(3))` `sqrt(3)` ANSWER :A

Discussion

7293.	How many different numbers which are smallerr than 2xx10^(8) and are divisible by 3, can be written by means of the digits 0,1 and 2?
Answer» 7272 4373 3437 none of these Answer :B

Discussion

7294.	A car cross a man walking ta 6 km/h the man can see the things up to 450 m only in one direction due to fog.He sees the car which was going in the same direction for 4.5 minutes What is the speed of the car?
Answer» 9 km/h 12 km/h 12.5 km/h 15 km/h Answer :B

Discussion

7295.	There are 8 points in a plane out of which 4 are collinear. How many triangles can be formed with these these points as vertices?
Answer» a. 52 b. 32 c. 35 d. 56 Answer :A

Discussion

7296.	Bhajan Singh pruchased 120 reams of paper at Rs 80 per ream. He spent Rs 280 on transportation, paid octroi at the rate of 40 paise per ream and paid Rs. 72 to the coolie. If he wants to ave a gain of 8%, the selling price per ream must be:
Answer» ANSWER :RS. 90

Discussion

7297.	ABCD is a parallelogram in which diagonals AC and BD intereset at O. If E, F, G and H are the mid points of AO, DO, CO and BO respectively, then the ratio of the perimeter of the quadrilateral EFGH to the perimeter of parallelogram ABCD is:
Answer» `1:4` `2:3` `1:2` `1:3` ANSWER :C

Discussion

7298.	Find the sum of factors of 270.
Answer» Solution :`THEREFORE 270 = 2^1xx3^3xx5^1` `therefore` Sum of FACTORS of 270 `((2^(1+1)-1) (3^(3+1)-1) (5(1+1)-1))/(2-1)(3-1)(5-1) = (3xx80xx24)/1xx2xx4 = 270`

Discussion

7299.	A shopkeeper sells a sari for Rs 266 after giving discount of 5% . If he had not given the discount then he would gain 12 % profit of C.P. Find C.P. of each sari.
Answer» ANSWER :250 RS

Discussion

7300.	The product of two numbers is 84 and their HCF is 2. Find the numbers of such pairs.
Answer» 2 3 4 5 Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

A number divided by 13 leaves a remainder 1 andif the quotient, thus obtained, is divided by 5, we get a remainder of 3.What will be the remainder if the number is divided by 65?16 (b) 18 (c) 28 (d) 40

Two persons having different productivity of labour, working together can reap a field in 2 days. If one-third of the field was reaped by the first man and rest by the other one working alternatively took 4 days. How long did it take for the faster person to reap the whole field working alone?

Which of the following equations are equivalent ? 1.((1)/(2)M+(2)/(3)N)^(2) 2.(4)/(9)N^(2)+(1)/(4)M^(2)+(2)/(3)MN3.((M)/(2)+(2)/(3)N)((1)/(2)M-(2)/(3)N) 4.(1)/(4)(M+(4)/(3)N)^(2)

A is twice as good a workman as B and together they finish a piece of work in 7 days. In how many days can A alone finish the work?

The wheel of an engine 300 cm in circumfrence makes 10 revolutions in 6 seconds What is the speed of the wheel (in km/h)?

A started a business with ₹ 52000 and after 4 months B joined him with ₹ 39000. At the end of the year, out of the total profits B received total ₹ 20000 including 25% of the profits as commission for managing the business. What amount did A receive?

The sum of first three terms of a G.P. is 21 and sum of their squares is 189. Find the common ratio :

A person bought 50 pens for Rs 50 . He sold 40 pen at 5% loss . At how much profit% he has to sell remaining pens in order to get profit of 10% on whole.

log 0.786 is equal to:

Evaluate the following : (3 1/3)^3

If tanx+secx=2cot(90^(@)+x), then cosecx=?

The product o two numbers ab7 and cd5 could be where ab7 and cd5 are individually three digit numbers:

The ages of Anushka, Kajal and Charu latha together are 57 years. Bharti is thrice as old as Anushka and Charu latha is 12 years older than Anushka. Then, the respective age of Anushka, Kajal and Charu latha is ?

The simple interest on Rs. 1820 from 9 October 2003 to 21 December 2003 at 7 (1)/(2)% will be

Solve 524 xx 19

A dealer buys a washing machine, listed at ₹ 10000 and gets 10% and 20% successive discounts. He spends 10% of his CP on transport. At what price (in rupees) should he sell the washing machine to earn a profit of 10%?

If the two factors of any quadratic equation are(x+sqrt3) and (x-sqrt3) , how many such equations are possible?

What will be the C.I. of Rs. 10,000 at 5% per annum for 3 years.

Weight of a sumo is jointly varies as his height and his age. When height is 1.2 m and age is 20 years his weight is 48 kg. Find the weight of the sumo when his height is 1.5 metre and age is 30 years :

Howmanynumberseachlyingbetween9 and 1000 canbe formedwiththe digits 0,1,2,3,7,8( numbercan berepeated) ?

Let O be the in-centre of a triangle ABC and D be a point on the side BC of Delta ABC, such that OD_|_BC If angle BOD=15^(@), then angle ABC=?

p @ q = p^2 - 20 if p > q , q 2 q = p^2 + 20 if p le q, then for a = 5 and b = 4 the value of [(a @ b) @ (a @ b)] - [(b @ a) @ (b @ a)] is :

The value of 4 xx 100 + 3 xx 10 + 9/1000 is:

If P is a point within a rectangle ABCD, then:

A tower standing on a horizontal plane subtends a certain angle at a point 160 m apart from the foot of the tower. On advancing 100 m towards if, the tower is found to subtend an angle twice as before. The height of the tower is -

Convert the following percentage into decimals : (i) 36% (ii) 250% (iii) 57.5% (iv) 17(1)/(5)% (v) 7%

Convert (100101)_2 into decimal representation.

Check whether 939715 is divisible by 7.

In 100 m race ,A runs at 8 km/h. If A gives B a start of 4 m and still beats him by 15 s,then what is the speed of B (m/s) ?

If {x} denotes the fractional part of x, then {5^2/8} is:

The compound interest on a sum of money for 2 years is Rs. 615 and the simple interest for the same period is Rs. 600. Find the principal.

Find the roots of the rational polynomial equation (x^2-6x+8)/(x+2)=0.

A and B have together three times what B and C have, while A, B, C together have thirty rupees more than that of A. If B has 5 times that of C, then A has

The ratio of expenditure and savings is 3:2. If the income increases by 15% and the savings increases by 6%, then by how much per cent should his expenditure increases?

ABCD is a trapezium withangleA=90^(@) and AB parallel to CD. ThenangleB is :

Find the area of Quardi lateral formed by four lines 3x+4y=24," "8x+15y=120 x axis y axis

Howmanyfourdigitnumbers can beformedwiththedigits0,2,3,5,8,9 if (i) repetitionof digits is allowed? (ii )repetitionof digitsis notallowed ?

A retail offers the following discount scheme for buyers on an article. I. Two successive discounts of 10%. II. A discount of 12% following by a discount of 8% III. Successive discounts of 15% and 5% IV. A discount of 20% The selling price will be minimum under the scheme.

Find the value of cot10^(@).cot20^(@).cot60^(@).cot70^(@).cot80^(@).

How many different numbers which are smallerr than 2xx10^(8) and are divisible by 3, can be written by means of the digits 0,1 and 2?

A car cross a man walking ta 6 km/h the man can see the things up to 450 m only in one direction due to fog.He sees the car which was going in the same direction for 4.5 minutes What is the speed of the car?

There are 8 points in a plane out of which 4 are collinear. How many triangles can be formed with these these points as vertices?

Bhajan Singh pruchased 120 reams of paper at Rs 80 per ream. He spent Rs 280 on transportation, paid octroi at the rate of 40 paise per ream and paid Rs. 72 to the coolie. If he wants to ave a gain of 8%, the selling price per ream must be:

ABCD is a parallelogram in which diagonals AC and BD intereset at O. If E, F, G and H are the mid points of AO, DO, CO and BO respectively, then the ratio of the perimeter of the quadrilateral EFGH to the perimeter of parallelogram ABCD is:

Find the sum of factors of 270.

A shopkeeper sells a sari for Rs 266 after giving discount of 5% . If he had not given the discount then he would gain 12 % profit of C.P. Find C.P. of each sari.

The product of two numbers is 84 and their HCF is 2. Find the numbers of such pairs.