8677 + Interview Questions in Maths in Class 14 Page 164 InterviewSolution

8151.	(i) A husband and wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1)/(7) and that of wife's selection is (1)/(5). Find the probability that both of them will be selected. (ii) Amitand Nisha appear for an interview for two vacancies in a company. The probability of Amit's selection is (1)/(5) and that of Nisha's selection is (1)/(6). What is the probability that both of them are selected ?
Answer» `1/12` `1/35` `13/35` `12/35` ANSWER :B

Discussion

8152.	Find the number of aspirants who had qualified in atleast two sections out of 4 sections.
Answer» 45 35 55 can’t be determined Answer :C

Discussion

8153.	A,B and C enter into a partnership in the ratio (7)/(2):(4)/(3):(6)/(5). After 4 months A increase his share 50%. If the total profit at the end of one year be ₹21,600, then B's share in the profit is :
Answer» `₹2100` `₹ 2400` `₹ 3600` `₹4000` Solution :`(7)/(2):(4)/(3):(6)/(5)` ` =7xx 3 XX 5 :4XX 2 xx 5 : 6xx 2 xx 3` `=105:40:36` Now, for ratio of profit ` 105 xx 12 +(105)/(2)xx 8:40xx 12 :36xx 12` `=1680:480:432`. According to question 1680 +48x+432x=21600` `rArr x=(21600)/(2592)` `therefore` profit of `B=480x=(21600)/(2592)xx 480=4000 ₹`

Discussion

8154.	A work for 2 days, then B complete the remaining work in 9 days. If A work for 3 days, then B complete the remaining work in 6 days. In how many days will A and B do this work alone ?
Answer» ANSWER :A `to` 5 DAYS, B `to`15 days

Discussion

8155.	The radii of two cylinders are in the ratio of 3:5 and their heights are in the ratio 4:3 . The ratio of their volumes is :
Answer» 0.51736111111111 0.55902777777778 4:5 5:4 Answer :A

Discussion

8156.	Paltry and Sundry, the two bird hunters went to woods. Paltry fires 5 shots when Sundry fires 7 shots. But Paltry kills 2 out of 5 whike Sundry kills 3 out of 7. When Sundry has missed 32 shots, then how many birds has Paltry killed?
Answer» 25 24 16 12 Answer :C

Discussion

8157.	DeltaABCis right angled at A and AB= 10units .AC = 30 units and AD is perpendicularto BC. What is the area of DeltaADB ?
Answer» 20 18 15 150 Answer :C

Discussion

8158.	The square of a number 'A' is the sum of the square ofother two numbers 'B' and 'C'. Where 5B = 12C and B,C are positive numbers. The least possible positive value of A is :
Answer» 10 12 13 16 Answer :C

Discussion

8159.	If f(x)=(x)/(sqrt(1+x^(2))), then fofof(x) is equal to:
Answer» `(X)/(SQRT((1+3X^(2))))`Q `(3x)/(sqrt(1-x^(2)))` `(3x)/(sqrt((1+x^(2)))` none of these Answer :A

Discussion

8160.	A typist starts to type the serial numbers of candidates in a list, upto 500. Minimum how many times he has to press the keys of numerals only ?
Answer» 1389 less than 1000 1392 can't say Answer :C

Discussion

8161.	Let x and y be positive integers such that x is prime and y is composite. Which of the following statements are correct ? 1 (y-x) can be an even integer 2 xy can be an even integer 3 0.5 (x+y) can be an even integer Select the correct answer using the code given below:
Answer» 1 and 2 are correct 1 ALONE is correct 1 and 3 are correct 1,2 and 3 are correct ANSWER :C

Discussion

8162.	Find the values of x that satisfy 3\|x^2+4x+2\|=5x+16
Answer» `[-2.2]` [2,8] [0,9] `[-1,OO)-)-1,1)` ANSWER :D

Discussion

8163.	The total number of 3 digit numbers which have two or more consecutive digits identical is :
Answer» 171 170 90 180 Answer :A

Discussion

8164.	If x=sectheta-tantheta, y=sectheta+tantheta, then the relation between x and y is:
Answer» `x^2+y^2=0` `x^2=y^2` `x^2=y` xy=1 Answer :D

Discussion

8165.	A and B enter into partnership. A supplies whole of the capital amounting to Rs 45,000 with the condition that the profit are to be equally divided and that B pays A interest on half of the capital at 10% per annum, but recives, Rs 120 per month for carrying on the concern. When B's income is onehalf of A's income their total yearly profit is
Answer» ANSWER :RS. 9180

Discussion

8166.	Cost price of 19 articles is Rs 625. By selling these articles A person incurred loss equal to selling price of 6 articles. Find the selling price of each article.
Answer» ANSWER :25 RS

Discussion

8167.	A fair coin is tossed repeatedly. If tail appears on first four tosses, them the probability of head appearing that 2 white and 1 black balls will be drawn, is
Answer» `5/12` `1/2` `5/6` `1/6` ANSWER :B

Discussion

8168.	Let a,b,c are in G.P. with common ratio r(0ltrlt1). Then a,2b,3c are in A.P., if r rquals:
Answer» 44228 `1/sqrt2` 44256 none Answer :C

Discussion

8169.	The value of (10sqrt(625))/(sqrt(625)-5) is:
Answer» 125 0.125 1.25 12.5 Answer :D

Discussion

8170.	A policeman saw a thief from a distance of 300m and started running towards him. If speed of policeman and thief are 33 km/h & 30 km/h respectively. Find the distance thief had run before caught.
Answer» ANSWER :3 KM

Discussion

8171.	Two third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was ₹ 400, the value of the consignment (in rupees) was :
Answer» 15000 20000 10000 12000 Answer :A

Discussion

8172.	Find tan(2x-y)+tan(y-x)+tan(pi-x)
Answer» ANSWER :`TAN(2x-y).tan(y-x).tan(pi-x)`

Discussion

8173.	Check whether 2366 is divisible by 13.
Answer» SOLUTION :Step 1: `2366 rArr 236 + 6 xx 4 = 260 SCINCE the osculator for 13 is 4 and it is ONE more osculator. so we USE addition Step 2: `260 rArr 26 + 0 xx 4 = 26` Since 26 (or 260) is divisible by 13 hence 2366 is also divisible by 13.

Discussion

8174.	A can do a piece of work in 20 days and B can do same work in 25 days. Both A and B start the work and after 8 days A left. In how many days will the total work be completed ?
Answer» ANSWER :15 DAYS

Discussion

8175.	The side of a rhombusare 10 cm and one of its diagonals is 16 cm . The area of the rhombus is :
Answer» `96 cm^2` `95 cm^2` `94 cm^2` `93 cm^2` ANSWER :A

Discussion

8176.	If two medians BE and CF of a triangle ABC , intersect each other at Gand if BG=CG, angle BGC=60^(@),BC=8 cm then area of the triangle ABC is :
Answer» ANSWER :`48sqrt3`

Discussion

8177.	On selling an article for Rs. 1470 a man gets profit of 22.5%. Find the cost price of the aricle
Answer» ANSWER :1200 RS

Discussion

8178.	If y=acos^(2)x+2bsinxcosx+csin^(2)xandz=asin^(2)x-2bsinxcosx+c cos^(2)x, then
Answer» `y+z=a+c` `y+z=a+b` `y+a=x+b` NONE of these Answer :A

Discussion

8179.	A book consists of 30 pages, 25 lines on each page and 35 characters on each line. If this content is written in another note book consisting of 30 lines and 28 characters per line, then the required no. of pages will how much per cent greater than the previous pages?
Answer» `4.16%` `5%` `6.66%` NONE of these Answer :C

Discussion

8180.	What is the cost of covering the floor of a rectangular hall by a carpet ? I. Cost of carpet is Rs 450 per sqm . IIThe perimeter of a hall is 50 m ,
Answer» If the Statement I ALONE is SUFFICIENT to answer the QUESTION but the statement I alone is not sufficient If the Statement II alone is sufficient to answer the question but the statement alone is not sufficient If both Statements I and II TOGETHER are needed to answer the question If can't get the answer from the Statements I and II together and need even more data

Discussion

8181.	Fourcards aredrawnat randomfroma packof 52cardsfindthe probabilityof gettingall thefourcardsofdifferentnumbers .
Answer» `141/4165` `117/833` `264/4165` NONE of these Answer :C

Discussion

8182.	A trader markup the goods by 10% and then give a discount of 10%. What is the profit or loss percentage?
Answer» SOLUTION :

Discussion

8183.	(a+b)^3-(a-b)^3 can be factorized as:
Answer» `2A(a^2+3b^2)` `2a(3a^2+b^2)` `2B(3a^2+b^2)` `2a(a^2+3b^2)` ANSWER :C

Discussion

8184.	A sample of 50 L of glycerine is found to be adulterated to the extent of 20%. Find how much pure gly- cerine should be added to bring down percentage of impurity to 5%?
Answer» 100 L 130 L 140 L 150 L Answer :D

Discussion

8185.	Abhishek drives his bike at the speed of 150 km/h. What is the distance covered by him in 3 hours.
Answer» SOLUTION :`D=SxxT=150xx3=450km`

Discussion

8186.	Simplify the following expressions : 1/2 of (16/7 div 8/21)
Answer»

Discussion

8187.	A 7xx24 rectangular thin wall has a 2xx2 square shaped window in such a way that the intersection of diagonals of rectangle and the intersection of diagonals of square coincide with each other. Which one of the following is correct?
Answer» Diagonals of RECTANGLE and that of square will be the same. The diagonals of wall will intersect the vertical sides of the window. The diagonals of wall will intersect the HORIZONTAL sides of the window. none of the above Answer :B

Discussion

8188.	The cost of pizza is2/3 times the cost of a burger.If the sum of cost of one burger a and one pizza is Rs. 120, then find the cost of the burger.
Answer» 92 72 35 81 Answer :C

Discussion

8189.	A student got 20% marks and failed by 30 marks. Another student got 32% marks and scored 42 marks more than passing mark. Find the passing mark in an examination.
Answer» ANSWER :150

Discussion

8190.	The remainder when (3)^671 is divided by 80 :
Answer» 0 1 2 can't be determined Answer :B

Discussion

8191.	Number of solution of the equation sqrt(x^(2)-x + 1) + (1)/(sqrt(x^(2)-x+1)) = 2-x^(2) is
Answer» 0 1 2 4 Answer :B

Discussion

8192.	What is 5^(1/2) . 5^(1/4) .5^(1/8)….. equal to
Answer» 6 1 0 5 Answer :D

Discussion

8193.	450 toys are divided into three types A, B & C. All three types of toys are sold at the profit of 9%, 10%and 12% respectively. Overall profit from type A and B is 9 3/7 % . Overall profit from all three types is 10%. Find the number of toys kept in all three categories A, B & C.
Answer» ANSWER :`A to 200 , B to150 C to 100`

Discussion

8194.	Two circles with centres A and B of radii 3 cm and 4 cm respectively intersect at two points C and D, such that AC and BC are tangents to the two circle. Find the length of the common chord CD.
Answer» 4.2 cm 8.4 cm 2.4 cm 4.8 cm Answer :D

Discussion

8195.	P is a point outside the circle at a distance of 6 . 5 cm from centre O of the circle . PR be a secant such that it intersects the circle at Q and R . If PQ = 4.5cm and QR = 3.5 cm , then what is the radius ( in cm ) of the circle ?
Answer» `1 .5` `2 ` `2. 5` `3 ` ANSWER :3

Discussion

8196.	The sum of the first six terms of an A.P. is 42. The ratio of the 10th term to the 30th term of A.P. is 1/3 Find the 40th term of the A.P.:
Answer» -60 20 39 80 Answer :D

Discussion

8197.	A bag contains 16 coins of which 2 coins are counterfeit with heads on the both sides. The rest are fair coins. One is selected at random from the bag and tossed. The probability of getting a head is :
Answer» a. `3/16` B. `13/16` C. `9/16` d. `7/16` ANSWER :C

Discussion

8198.	A soda water bottle is exactly filled with coke weighs 1600 gm but when it is 1/3 rd filled it weights only 900 gm. The weight of the empty bottle is :
Answer» 650 1100 550 data insufficient Answer :C

Discussion

8199.	At what time between 3 o clock and 4 olck will the hands of a clock be in opposite directions
Answer» Answer :`49(1)/(11)` MIN PAST 3

Discussion

8200.	Find the sum to n terms of3 * 2 + 52^2 + 72^3 + ….
Answer» `2^(N+2) - 2^(n+1)-2` `n* 2^(n+2) - 2^(n+1) + 2` `n*2^(n+2) + 2^(n-2)` NONE of these Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

Find the number of aspirants who had qualified in atleast two sections out of 4 sections.

A,B and C enter into a partnership in the ratio (7)/(2):(4)/(3):(6)/(5). After 4 months A increase his share 50%. If the total profit at the end of one year be ₹21,600, then B's share in the profit is :

A work for 2 days, then B complete the remaining work in 9 days. If A work for 3 days, then B complete the remaining work in 6 days. In how many days will A and B do this work alone ?

The radii of two cylinders are in the ratio of 3:5 and their heights are in the ratio 4:3 . The ratio of their volumes is :

Paltry and Sundry, the two bird hunters went to woods. Paltry fires 5 shots when Sundry fires 7 shots. But Paltry kills 2 out of 5 whike Sundry kills 3 out of 7. When Sundry has missed 32 shots, then how many birds has Paltry killed?

DeltaABCis right angled at A and AB= 10units .AC = 30 units and AD is perpendicularto BC. What is the area of DeltaADB ?

The square of a number 'A' is the sum of the square ofother two numbers 'B' and 'C'. Where 5B = 12C and B,C are positive numbers. The least possible positive value of A is :

If f(x)=(x)/(sqrt(1+x^(2))), then fofof(x) is equal to:

A typist starts to type the serial numbers of candidates in a list, upto 500. Minimum how many times he has to press the keys of numerals only ?

Let x and y be positive integers such that x is prime and y is composite. Which of the following statements are correct ? 1 (y-x) can be an even integer 2 xy can be an even integer 3 0.5 (x+y) can be an even integer Select the correct answer using the code given below:

Find the values of x that satisfy 3|x^2+4x+2|=5x+16

The total number of 3 digit numbers which have two or more consecutive digits identical is :

If x=sectheta-tantheta, y=sectheta+tantheta, then the relation between x and y is:

Cost price of 19 articles is Rs 625. By selling these articles A person incurred loss equal to selling price of 6 articles. Find the selling price of each article.

A fair coin is tossed repeatedly. If tail appears on first four tosses, them the probability of head appearing that 2 white and 1 black balls will be drawn, is

Let a,b,c are in G.P. with common ratio r(0ltrlt1). Then a,2b,3c are in A.P., if r rquals:

The value of (10sqrt(625))/(sqrt(625)-5) is:

A policeman saw a thief from a distance of 300m and started running towards him. If speed of policeman and thief are 33 km/h & 30 km/h respectively. Find the distance thief had run before caught.

Two third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was ₹ 400, the value of the consignment (in rupees) was :

Find tan(2x-y)+tan(y-x)+tan(pi-x)

Check whether 2366 is divisible by 13.

A can do a piece of work in 20 days and B can do same work in 25 days. Both A and B start the work and after 8 days A left. In how many days will the total work be completed ?

The side of a rhombusare 10 cm and one of its diagonals is 16 cm . The area of the rhombus is :

If two medians BE and CF of a triangle ABC , intersect each other at Gand if BG=CG, angle BGC=60^(@),BC=8 cm then area of the triangle ABC is :

On selling an article for Rs. 1470 a man gets profit of 22.5%. Find the cost price of the aricle

If y=acos^(2)x+2bsinxcosx+csin^(2)xandz=asin^(2)x-2bsinxcosx+c cos^(2)x, then

A book consists of 30 pages, 25 lines on each page and 35 characters on each line. If this content is written in another note book consisting of 30 lines and 28 characters per line, then the required no. of pages will how much per cent greater than the previous pages?

What is the cost of covering the floor of a rectangular hall by a carpet ? I. Cost of carpet is Rs 450 per sqm . IIThe perimeter of a hall is 50 m ,

Fourcards aredrawnat randomfroma packof 52cardsfindthe probabilityof gettingall thefourcardsofdifferentnumbers .

A trader markup the goods by 10% and then give a discount of 10%. What is the profit or loss percentage?

(a+b)^3-(a-b)^3 can be factorized as:

A sample of 50 L of glycerine is found to be adulterated to the extent of 20%. Find how much pure gly- cerine should be added to bring down percentage of impurity to 5%?

Abhishek drives his bike at the speed of 150 km/h. What is the distance covered by him in 3 hours.

Simplify the following expressions : 1/2 of (16/7 div 8/21)

A 7xx24 rectangular thin wall has a 2xx2 square shaped window in such a way that the intersection of diagonals of rectangle and the intersection of diagonals of square coincide with each other. Which one of the following is correct?

The cost of pizza is2/3 times the cost of a burger.If the sum of cost of one burger a and one pizza is Rs. 120, then find the cost of the burger.

A student got 20% marks and failed by 30 marks. Another student got 32% marks and scored 42 marks more than passing mark. Find the passing mark in an examination.

The remainder when (3)^671 is divided by 80 :

Number of solution of the equation sqrt(x^(2)-x + 1) + (1)/(sqrt(x^(2)-x+1)) = 2-x^(2) is

What is 5^(1/2) . 5^(1/4) .5^(1/8)….. equal to

450 toys are divided into three types A, B & C. All three types of toys are sold at the profit of 9%, 10%and 12% respectively. Overall profit from type A and B is 9 3/7 % . Overall profit from all three types is 10%. Find the number of toys kept in all three categories A, B & C.

Two circles with centres A and B of radii 3 cm and 4 cm respectively intersect at two points C and D, such that AC and BC are tangents to the two circle. Find the length of the common chord CD.

P is a point outside the circle at a distance of 6 . 5 cm from centre O of the circle . PR be a secant such that it intersects the circle at Q and R . If PQ = 4.5cm and QR = 3.5 cm , then what is the radius ( in cm ) of the circle ?

The sum of the first six terms of an A.P. is 42. The ratio of the 10th term to the 30th term of A.P. is 1/3 Find the 40th term of the A.P.:

A bag contains 16 coins of which 2 coins are counterfeit with heads on the both sides. The rest are fair coins. One is selected at random from the bag and tossed. The probability of getting a head is :

A soda water bottle is exactly filled with coke weighs 1600 gm but when it is 1/3 rd filled it weights only 900 gm. The weight of the empty bottle is :

At what time between 3 o clock and 4 olck will the hands of a clock be in opposite directions

Find the sum to n terms of3 * 2 + 5*2^2 + 7*2^3 + ….

Find the sum to n terms of3 * 2 + 52^2 + 72^3 + ….