8677 + Interview Questions in Maths in Class 14 Page 161 InterviewSolution

8001.	Population of a village is 5000. If there is an increase in male population by 10%and 15% increase in female population then the population becomes 5600. Find the number of males in the village.
Answer» ANSWER :3000

Discussion

8002.	Ratio between heights of two cylinder in the ratio 3:5. Their volumes are in the ratio 27:80. Find the ratio between their radius.
Answer» a. 2:3 b. 3:2 c. 3:4 d. 4:3 Answer :D

Discussion

8003.	H.C.F. of (x^ 2 −3x+2) and (x ^2 −4x+3) is
Answer» a. (x-1) B. (x-2)^2 C. (x-1)(x-2) d. (x-1)(x-3) ANSWER :C

Discussion

8004.	Selection into (IIMs (Institutes of Management) is quite simple. In our coaching institute some students qualified CAT(The first stage of entrance into IIMs) but coincidentally the no. of boys who qualified the CAT was equal to the no. of girls. Besides these boys and girls got the calls from only IIM Ahmedabadand IIM Bangalore, but each of these from both the IIMs. 60% of the boys failed in the group discussion ( the second phase of the selection process) and thus equal no of boys (but distinct) appeared for the personal interview of IIM-A and IIM-B (interview is the third and final stage of selection of a candidate) but 20% of the boys who appeared for the interview of IIM-A and 60% of the boys who appeared for the interview of IIM-B failed. If it is possible that a candidate can receive the falls from more than one IIMs but he/she can face the interviewof only one IIM. Given that only 24 boys form our coaching institute were selected by the IIM and IIM-B also a candidate can appear for the next stage only if he/she qualifies the previous stage of the exam, then find the no, of girls who qualified the CAT (Common Admission Test).
Answer» 100 250 300 600 Answer :A

Discussion

8005.	Which one is smaller out of root(3)(2) and root(4)(3) ?
Answer» Answer :`root(3)(2) < root(4)(3)`

Discussion

8006.	Let T, be the rth term of an A.P. for r = 1, 2, 3 … if the some positive integers m,n we have T_m = 1/n and T_n = 1/mthenT_(mn)equals :
Answer» a)`1/(MN)` B)`1/m + 1/n` C)1 d)0 Answer :C

Discussion

8007.	There are two alloys made up of copper and aluminium. In the first alloy copper is halfof the aluminium and in the second alloy copper is thrice as much as aluminium. How many times the second alloy copper is thrice as much as aluminium. How many times the second alloy must be mixed with first alloy to get the new alloy in which copper is twice as that ofaluminium?
Answer» a. 2 b. 3 C. 4 d. 5 Answer :C

Discussion

8008.	There are four different coloured balls and four boxes of the same colour as that of each ball is. Find the number of ways in which exactly one ball can be put in a box so that the colour of the box and that of ball is distinct.
Answer» A) 16 B) 10 C) `"^4C_2` D) NONE of these Answer :D

Discussion

8009.	If cos43^(@)=(x)/(sqrt(x^(2)+y^(2))), then the value of tan47^(@) is.
Answer» `(y)/(X)` `(x)/(y)` `(y)/(SQRT(x^(2)+y^(2)))` x Answer :B

Discussion

8010.	A swiss watch is being shown in a museum which has a very peculiar property. It gains as much in the days as it loses during night between 8 pm to 8 am. In a week how many times will the clock show the correct time?
Answer» 6 times 14 times 7 times 8 times Answer :D

Discussion

8011.	Find tan15^(@).tan25^(@).tan45^(@).tan65^(@).tan75^(@).
Answer» ANSWER :1

Discussion

8012.	In the following figure, O is the centre of the circle. AB and CD are equal chords. If angle AOB=100^@ , Find the angle CED.
Answer» `AC+AB=BC` `3AE=AB+BC+AC` `AB+BC+AC=4AE` `2AE=AB+BC+AC` ANSWER :D

Discussion

8013.	The price of petrol is rs 60 per litre and the price of spirit is rs 40 per litre. In what ratio the petrol and spirit be mixed such that the profit after selling the mixture at rs 75 per litre be 25%?
Answer» 1:1 3:2 5:1 such a MIXTURE is not possible Answer :D

Discussion

8014.	Percentage increase in cost of sugar is 2%more than inflation percentage. On January 1, 2004 cost of sugar is Rs. 20 / kg. In each year i.e., 2004 and 2005 the inflation rate is assumed to be 8% . Then find the assumed price of sugar on January 1, 2006
Answer» RS. 23.60 Rs. 24.00 Rs. 24.20 Rs. 24.60 Answer :C

Discussion

8015.	(sin3theta+sin5theta+sin7theta+sin9theta)/(cos3theta+cos5theta+cos7theta+cos9theta)=?
Answer» `cot6theta` `tan6theta` `COT3THETA` `TAN3THETA` ANSWER :A

Discussion

8016.	A soldier fired two bullets at an interval of 335 seconds moving at a uniform speed v_1. A terrorist who was running ahead of the soldier in the same direction, hears the two shots at an interval of 330 seconds. If the speed of sound is 1188 km/h, then who is the faster and by how much?
Answer» SOLDIER, 22 km/h Terrorist, 25 km/h soldier, 18 km/h Terrorist, 20 km/h Answer :C

Discussion

8017.	The ratio of the density of 3 kinds of petrol P_1, P_2 and P_3 is 9 : 7 : 5. The density of P_1 is 18 gm/cc and P_1, P_2 and P_3 are mixed in the ratio of 6 : 5 : 4 by weight. If a litre of P_3 cost ₹ 40, then find the cost of P_3 in 450 kg of mixture of P_1, P_2 and P_3 :
Answer» ₹ 380 ₹ 480 ₹ 355 ₹ 448 Answer :B

Discussion

8018.	There are 10compartments in passenger train which carries on an average 20 passengers per compartment. If at least 12 passengers were sitting in each compartment and no compartment has equal number of passengers then maximum how many passenger can be accomodated in any compartment.
Answer» 64 45 56 none of these Answer :C

Discussion

8019.	If A, B, C are angles of a triangle, then sin^(2)A+sin^(2)B+sin^(2)C-2cosAcosBcosC=?
Answer» 1 2 3 4 Answer :B

Discussion

8020.	Evaluate or simplify the following expression17-{8div(2xx3-4)}
Answer» SOLUTION :`17-[8div(2xx3-4)]=17-{8div(6-4)} ` `=17-{8div2}=17-{4}=13`

Discussion

8021.	If 3cosectheta-7cot theta=3, then find 3cottheta-7cosectheta=?
Answer» ANSWER :`d=pm7`

Discussion

8022.	A trader procures his goods from a wholesaler, whose balance reads 1200 g for 1000 g. The trader sells all the procured goods to a customer after marking up the goods at20% above the cost price. What is his overall percentage profit or loss in the whole transaction?
Answer» 38% PROFIT 50% profit no profit no loss none of the above ANSWER :C

Discussion

8023.	A sells an article to B making a profit of(1)/(5) fot his outlay. B sells it to C, going 20%. If C sells it for Rs 600 and incurs a loss of (1)/(6) of his outlays, the cost price of A is
Answer» ANSWER :500 RS

Discussion

8024.	Pipe A takes 3//4 of the times required by pipe B to fill the empty tank individually. When an outlet pipe C, is also opened simultaneously with pipe A and pipe B, it takes 3//4more time to fill the empty tank than it takes, when only pipe A and pipe B are opened together. If it takes to fill 33 hours when all the three pipes are opened simultaneously, then in what time pipe C can empty the full tank operating alone?
Answer» 66 HOURS 50hours 44 hours can't be determined Answer :C

Discussion

8025.	There are two containers, the first contains, 1 litre pure water and the second contains 1 litre of pure milk. Now 5 cups of water from the first container is taken out is mixed well in the second containers. Then 5 cups of this mixture is taken out and is mixed in the first container. let A denote the proportion of milk in the first container and B denote the proportion of water in the second container then:
Answer» `A LT B A=B `A GT B` can't be determined Answer :B

Discussion

8026.	A spherical steel ball was silver polishedthen it was cut into 4 similar pieces. Whatis ratio of the polished area to the non polished area :
Answer» 1:1 1:2 2:1 can't be determined Answer :A

Discussion

8027.	A contractor deployed some men to plant 1800 trees in a certain no. of days but in 1/3 rd of the planned time 120 plants could be planted so to full fill the target for the rest of thedays every day 20 more plants were planted. Thus it saved on day out of the initially planned no. of days. How many plants he planned to plant each day initially?
Answer» a. 180 B. 100 c. 120 d. 160 Answer :B

Discussion

8028.	A bill for RS 10200 is drawn on July 14 at 5 months. It is discounted on 5th October at 10%. Find the banker's discount, true discount, banker's gain and the money that the holder of the bill receives.
Answer» X 204, X 200, X 4 and X 9996 X 100, X 200, X 2 and X 4989 X 121, X 172, X 132 and X 4046 X 136, X 132, X 138 and X 3649 Answer :A

Discussion

8029.	Mr. Teremere and Mr. Meretere have 5 chocolates and 3 chocolates with them respectively. Meanwhile Mr. Khabbu Singh joined them and all 8 chocolates were distributed equally among all these three people. In turn Khabbu Singh gave Rs. 16 to Mr. Teremere and Mr.Meretere, Since Khabbu Singh did not has any chocolate. What is the difference of amounts received by Teremere and Meretere? Given that the amount was shared in proportion of chocolates received by Khabbu Singh.
Answer» RS. 8 Rs 12 Rs. 14 Rs. 1500 Answer :B

Discussion

8030.	A person takes 20 minutes more to cover a certain distance by decreasing his speed by 20%. What is the time taken to cover the distance at his original speed ?
Answer» A) 1hr B) 1 hr 20 min C) 1 hr 10 min D) 50 min Answer :D

Discussion

8031.	25% of 25% Is Equal To
Answer» A) 0.0625 B) 0.0210 C) 0.03145 D) 0.3210 Answer :D

Discussion

8032.	A man spends 35% of his income on food, 25% on children's education and 80% of the remaining on house rent. What percent of his income he is left with ?
Answer» A) 6 % B) 8 % C) 10 % D) 12 % ANSWER :B

Discussion

8033.	A retailer uses faulty balances to purchase and sell the goods. He uses his faulty balances in such a way that while buying the goods from wholesaler he gets 15% more of what he pays for, while selling his goods to his customer he gives 8% less of what he charges for. Not only this, he marks up his goods by 20% and then to please his customer he offers her 42.84% discount on the marked price. How much profit or loss percentage does he make?
Answer» 14.28, profit 16.67, profit 14.28,loss 20, loss Answer :C

Discussion

8034.	A retailer uses faulty balances to purchase and sell the goods. He uses his faulty balances in such a way that while buying the goods from wholesaler he gets 25% more of what he pays for, while selling his goods to his customer he gives 25% less of. what he charges for. If he earns a profit of 16.67%, by minimum how much per cent does he mark up or discount the price?
Answer» 20, markup 30, discount 50, discount 25, markup Answer :B

Discussion

8035.	A retailer uses faulty balances to purchase and sell the goods. He uses his faulty balances in such a Way that while buying the goods from wholesaler he gets 4% more of what he pays for, while selling his goods to his customer he gives 13.33% less of what he charges for. Further he offers a discount of 16.67%. How much profit percentage does he make?
Answer» 100 33.33 25 0 Answer :D

Discussion

8036.	A retailer uses faulty balances to purchase and sell the goods. He uses his faulty balances in such a way that while buying the goods from wholesaler he gets 5% more of what he pays for, while selling his goods to his customer he gives x% less of what he charges for. Further he marks up his 14.28%. If he earns a profit of 100%, what is x?
Answer» 60 50 40 25 Answer :C

Discussion

8037.	A retailer uses faulty balances to purchase and sell the goods. He uses his faulty balances in such a way that while buying the goods from wholesaler he gets x% more of what he pays for, while selling his goods to his customer he gives 20% less of what he charges for. Further he marks up his goods by 20%. If he earns a profit of 50%, what is x?
Answer» 25 20 10 0 Answer :D

Discussion

8038.	A retailer uses faulty balances to purchase and sell the goods. He uses his faulty balances in such a way that while buying the goods from wholesaler he gets 20% more of what he pays for, while selling his goods to his customer he gives 10% less of what he charges for. If he earns a profit of 60% by how much per cent does he mark up his goods?
Answer» 40 44.44 20 56.67 Answer :C

Discussion

8039.	A retailer uses faulty balances to purchase and sell the goods. He uses his faulty balances in such a way that while buying the goods from wholesaler he gets 20%more of what he pays for, while selling his goods to his customer he gives 20% less of what he charges for. Further he marks up his goods by 33.33%. How much profit percentage does he make?
Answer» 25 50 66.67 100 Answer :D

Discussion

8040.	A retailer uses faulty balances to purchase and sell the goods. He uses his faulty balances in such a way that while buying the goods from wholesaler he gets 20% more of what he pays for, while selling his goods to his, customer he gives x% less of what he charges for. If he sell his goods at the cost price and earns 33.33% profit, What is x ?
Answer» 10 11.11 9.09 13.33 Answer :A

Discussion

8041.	A retailer uses faulty balances to purchase and sell the goods. He uses his faulty balances in such a way that while buying the goods from wholesaler he gets x% more of what he pays for, while selling his goods to his customer he gives 40% less of what he charges for. If he sells his goods at the cost price and earns 100% profit, What is x ?
Answer» 60 140 20 75 Answer :C

Discussion

8042.	A retailer uses faulty balances to purchase and sell the goods He uses his faulty balances in such a way that while buying the goods from wholesaler he gets20% more of what he pays for, while selling his goods to his customer he gives 20% less of what he charges for If he sells his goods at the cost price, how much profit percentage does he make?
Answer» 50 44 41 40 Answer :A

Discussion

8043.	If A=130^(@) and x=sinA+cosA, then
Answer» `XGT0` `XLT0` `x=0` `XLE0`

Discussion

8044.	The value of ("log"14/3+"log"(11)/5-"log"22/15) is :
Answer» LOG 77 log 11 log 7 none of these Answer :C

Discussion

8045.	Find the number of ways of expressing 336 as a product of co-prime factors.
Answer» Solution :`336 = 2^4xx3xx7` The required NUMBR of WAYS = `2^(3-1) = 4` `(1xx336), (16xx21), (48xx7), (112xx3)`, are two different ways in which 336 can be expressed as a PRODUCT of co-prime factors.

Discussion

8046.	Find the value of k such that the sum of the squares of the roots of the quadratic equation x^(2)-8x+k=0 is 40:
Answer» 12 2 5 8 Answer :A

Discussion

8047.	For a standard quadratic equation the parabola intersects the Y-axis at most
Answer» 4 times 3 times 2 times 1 time Answer :C

Discussion

8048.	B works four times as much as A. If B takes 15 days less than A to complete this work. In how many days will A and B alone complete this work ?
Answer» ANSWER :`A to 20` DAYS, `B to 5` days

Discussion

8049.	53^3-46^3-7^3 is divided by:
Answer» a)6 and 9 2 and 21 21 and 23 both (B) and (C ) ANSWER :D

Discussion

8050.	The product of two numbers is 2160 and their HCF is 12. Number of such possible pairs are:
Answer» 1 2 3 4 Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

Population of a village is 5000. If there is an increase in male population by 10%and 15% increase in female population then the population becomes 5600. Find the number of males in the village.

Ratio between heights of two cylinder in the ratio 3:5. Their volumes are in the ratio 27:80. Find the ratio between their radius.

H.C.F. of (x^ 2 −3x+2) and (x ^2 −4x+3) is

Which one is smaller out of root(3)(2) and root(4)(3) ?

Let T, be the rth term of an A.P. for r = 1, 2, 3 … if the some positive integers m,n we have T_m = 1/n and T_n = 1/mthenT_(mn)equals :

There are four different coloured balls and four boxes of the same colour as that of each ball is. Find the number of ways in which exactly one ball can be put in a box so that the colour of the box and that of ball is distinct.

If cos43^(@)=(x)/(sqrt(x^(2)+y^(2))), then the value of tan47^(@) is.

A swiss watch is being shown in a museum which has a very peculiar property. It gains as much in the days as it loses during night between 8 pm to 8 am. In a week how many times will the clock show the correct time?

Find tan15^(@).tan25^(@).tan45^(@).tan65^(@).tan75^(@).

In the following figure, O is the centre of the circle. AB and CD are equal chords. If angle AOB=100^@ , Find the angle CED.

The price of petrol is rs 60 per litre and the price of spirit is rs 40 per litre. In what ratio the petrol and spirit be mixed such that the profit after selling the mixture at rs 75 per litre be 25%?

Percentage increase in cost of sugar is 2%more than inflation percentage. On January 1, 2004 cost of sugar is Rs. 20 / kg. In each year i.e., 2004 and 2005 the inflation rate is assumed to be 8% . Then find the assumed price of sugar on January 1, 2006

(sin3theta+sin5theta+sin7theta+sin9theta)/(cos3theta+cos5theta+cos7theta+cos9theta)=?

A soldier fired two bullets at an interval of 335 seconds moving at a uniform speed v_1. A terrorist who was running ahead of the soldier in the same direction, hears the two shots at an interval of 330 seconds. If the speed of sound is 1188 km/h, then who is the faster and by how much?

The ratio of the density of 3 kinds of petrol P_1, P_2 and P_3 is 9 : 7 : 5. The density of P_1 is 18 gm/cc and P_1, P_2 and P_3 are mixed in the ratio of 6 : 5 : 4 by weight. If a litre of P_3 cost ₹ 40, then find the cost of P_3 in 450 kg of mixture of P_1, P_2 and P_3 :

There are 10compartments in passenger train which carries on an average 20 passengers per compartment. If at least 12 passengers were sitting in each compartment and no compartment has equal number of passengers then maximum how many passenger can be accomodated in any compartment.

If A, B, C are angles of a triangle, then sin^(2)A+sin^(2)B+sin^(2)C-2cosAcosBcosC=?

Evaluate or simplify the following expression17-{8div(2xx3-4)}

If 3cosectheta-7cot theta=3, then find 3cottheta-7cosectheta=?

A trader procures his goods from a wholesaler, whose balance reads 1200 g for 1000 g. The trader sells all the procured goods to a customer after marking up the goods at20% above the cost price. What is his overall percentage profit or loss in the whole transaction?

A sells an article to B making a profit of(1)/(5) fot his outlay. B sells it to C, going 20%. If C sells it for Rs 600 and incurs a loss of (1)/(6) of his outlays, the cost price of A is

A spherical steel ball was silver polishedthen it was cut into 4 similar pieces. Whatis ratio of the polished area to the non polished area :

A bill for RS 10200 is drawn on July 14 at 5 months. It is discounted on 5th October at 10%. Find the banker's discount, true discount, banker's gain and the money that the holder of the bill receives.

A person takes 20 minutes more to cover a certain distance by decreasing his speed by 20%. What is the time taken to cover the distance at his original speed ?

25% of 25% Is Equal To

A man spends 35% of his income on food, 25% on children's education and 80% of the remaining on house rent. What percent of his income he is left with ?

If A=130^(@) and x=sinA+cosA, then

The value of ("log"14/3+"log"(11)/5-"log"22/15) is :

Find the number of ways of expressing 336 as a product of co-prime factors.

Find the value of k such that the sum of the squares of the roots of the quadratic equation x^(2)-8x+k=0 is 40:

For a standard quadratic equation the parabola intersects the Y-axis at most

B works four times as much as A. If B takes 15 days less than A to complete this work. In how many days will A and B alone complete this work ?

53^3-46^3-7^3 is divided by:

The product of two numbers is 2160 and their HCF is 12. Number of such possible pairs are: