8677 + Interview Questions in Maths in Class 14 Page 82 InterviewSolution

4051.	The ratio of milk and water in a mixture is 5 : 3. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of milk and water in the mixture becomes 1 : 1?
Answer» ANSWER :A

Discussion

4052.	यदि 3a और 4b का अंकगणितीय माध्य 50 से अधिक हो और a,b का दुगुना हो तो a का लघुत्तम संभव पूर्णांक मान क्या होगा?
Answer» 18 19 20 21 Answer :B

Discussion

4053.	A rectangular tank of dimensions24 m x 12 m xx 8 mis dug inside a rectangular field 600 m long and 200 m broad . The earth taken out is evenly spread over the field. By how much will the level of the field rise ?
Answer» 1.925 m 0.02 m 0.2 m none of these Answer :A

Discussion

4054.	The third proportional to 9 and 12 is ?
Answer» A) 14 B) 16 C) 18 D) 20 Answer :C

Discussion

4055.	Convert (101100101)_2 to octal.
Answer» ANSWER :`(46.24)_8`

Discussion

4056.	A petrol pump owner mixed leaded and unleaded petrol in such a way that the maximum contains 10% unleaded petrol. What quantity of leaded petrol should be added to 1 litre mixture so that the percentage of unleaded petrol become 5% .
Answer» 1000 ml 900 ml 1900 ml 1800 ml Solution :(a) In 1 litre quantity of unlead petrol=10 ml LET x ml leaded petrol be added , then 5% of (1000+x)=100ml `or , 5(1000+x)=100 XX 100` `IMPLIES x=(5000)/(5)=1000 ml`

Discussion

4057.	If from point 100 m above the ground the angles of depression of two objects due south on the ground are 60^(@) and 45^(@), then the distance between the objects is :
Answer» `(50(3-sqrt3))/3` m `(50(3+sqrt3))/3` m `(100(3+sqrt3))/3` m `(100(3-sqrt3))/3` m Answer :D

Discussion

4058.	A={2,3,5,7,11,...89,97} B={4,6,8,10,12,...98,100} C={3,9,15,21,27,33...,99} If a smallest and a greatest element of the Set B is transferred to Set A, then the average of A,B,C respectively :
Answer» DECREASES,decreases,increases decreases,CONSTANT and increased increases,constant,constant can't be determind Answer :C

Discussion

4059.	If log_27x=4/3, then the value of x is :
Answer» 9 27 81 none of the above Answer :C

Discussion

4060.	A dishonest trader marks up his goods by 80% and gives discount of25%. Besides he gets 20% more amount per kg from wholesaler and sells 10% less per kg to customer. What is the overall profit percentage?
Answer» `80%` `60%` `70%` NONE of these Answer :A

Discussion

4061.	Progressive Company Pvt. Ltd. hired some employees in a fix pattern. On the first day it hired one person, on second day one more joined him. On the third, fourth etc (i.e every next day) one more person increased in thisgroup. The capacity of each person was same. The whole work was completed on the 24th day then out of total ₹ 5000, maximum how much a person had earned?
Answer» ₹ 500 ₹ 400 ₹ 200 ₹ 250 Answer :B

Discussion

4062.	The ratio of 1st and 2nd classes train fairs between two stations is 3 : 1 and that of the number of pas- sengers travelling between these stations by 1st and 2nd classes is 1 : 50. If on a particular day, X 2650 be collected from the passengers travelling between these stations, then find the amount collected from 2nd class passengers.
Answer» ? 750 ? 850 ? 1000 ? 1250

Discussion

4063.	If a man runs at 10 km/h, then he arrives at a certain place at 1 p.m. But if he increases his speed by 5 km/h then he reaches there at 11 a.m. At what speed must he run to get there at 12 pm.
Answer» A) RS. 820 B) Rs. 830 C) Rs. 840 D) Rs. 850 Answer :12 km/h

Discussion

4064.	A number of the form 10^(n) - 1 is always divisible by 11 for every n is a natural number, when :
Answer» N is odd n is prime n is even can't say Answer :C

Discussion

4065.	The probability that it is Friday and a student is absent, is 0.03. Since, there are 5 school days in a week, the probability that it is Friday is 0.2. What is the probability that a student is absent, given that today is Friday?
Answer» ANSWER :`0.15`

Discussion

4066.	A shopkeeper sells watermellon at profit of 10% but cheats to the extent of 10% while measuring Find profit %.
Answer» ANSWER :`(200)/(9)%`

Discussion

4067.	The sum of n terms ofa series is 3n^2+5n find the value of n if nth term is 152:
Answer» 15 18 20 25 Answer :D

Discussion

4068.	If the compound interest on a certain sum for two years at 12% per annum is Rs. 2544, the simple interest on it at the same rate for 2 years will be
Answer» ANSWER :RS. 2400

Discussion

4069.	30 workers can finish a work in 20 days. After how many days should 9 workers leave the job so that the work is completed in total 26 days :
Answer» 12 10 6 none of these Answer :C

Discussion

4070.	At a casino in Mumbai, there are 3 tables A, B and C. The pay-offs at A is 10 : 1, at B is 20 : 1 and C is 30 : 1. If a man bets ₹ 200 at each table and win at two of the tables, what is the maximum and minimum difference between his earnings can be?
Answer» ₹ 2500 ₹ 2000 ₹ 4000 none of these Answer :C

Discussion

4071.	Solve (x-2)/(x+2) gt (2x-3)/(4x-1).
Answer» ANSWER :Thus, the RANGE is `x lt-2 or (1)/(4) lt x lt 1 or x gt4`

Discussion

4072.	Each angle of a regular hexagon is:
Answer» `60^(@)` `120^(@)` `90^(@)` none of these Answer :B

Discussion

4073.	Which of the following is not a quadratic equation
Answer» CIRCLE Parabola Axis of SYMMETRY A LINE PARALLEL to X-axis Answer :C

Discussion

4074.	A number when divided by 899 gives a remainder 63. If the same number is divided by 29, the remainder will be :
Answer» 10 5 4 2 Answer :B

Discussion

4075.	If 45 students can consume a stock of food in 2 months, find for how days the same stock of food will last for 27 students?
Answer» SOLUTION :More STUDENTS LESS DAYS, less students, more days

Discussion

4076.	A father is twice as old as his son. 20yr back, he was twelve times as old as his son. What is the present age of father ?
Answer» ANSWER :44yr

Discussion

4077.	505-50-5-50-5-5 = ?
Answer» 390 150 300 202 Answer :D

Discussion

4078.	Express the following ratios as percentage : (i) 1 : 5 (ii) 2:3 (iii) 4:9
Answer» SOLUTION :`2:3 = 2/3 =2/3 XX `100 =66.66%`

Discussion

4079.	The solution of (25)^(x -2) = (5)^((3)(2x - 4)) :
Answer» 4 0 2 -2 Answer :C

Discussion

4080.	A car travels from P to Q at a constant speed. If its speed were increased by 7 km/h, it would have taken one hour less to cover the distance. It would have taken 1 hour more if the speed were decreased by 5 km/h. What is the distance between two cities and find the speed of car?
Answer» ANSWER :210 km,35km

Discussion

4081.	25p^2-55sqrt11p+198=0 25q^2+55sqrt11q+198=0
Answer» `pltq` `pgtq` `pleqq` can't be determined Answer :B

Discussion

4082.	600 students took the test on Physics and Chemistry.35% students failed in Physics and 45% students failed in Chemistry and 40% of those who passed in Chemistry also passed in Physics, then how many students failed in both?
Answer» 162 138 60 none of these Answer :D

Discussion

4083.	If 12 men or 20 women can do a work in 54 days, then in how many days can 9 men and 12 women together do the work?
Answer» 1500 1680 1800 more than 2000 Answer :C

Discussion

4084.	In a mixture of milk and water of the volume 30L, the ratio of milk and water is 8:7. How much water should be added in mixture to make ratio 4:5 ?
Answer» a. 6L b. 4.5L c. 5L d. 5.5L Answer :A

Discussion

4085.	The value of (a^(2/3) +2a^(1/2)+3a^(1/3) +2a^(1/6)+1)(a^(1/3)-2a^(1/6)+1)-a^(1/2)(a^(1/2)-2), when a = 7, is: (a^(2/3) +2a^(1/2)+3a^(1/3) +2a^(1/6)+1)(a^(1/3)-2a^(1/6)+1)-a^(1/2)(a^(1/2)-2),का मान ज्ञात कीजिए, जब a= 7 है:
Answer» `a^2x^(1//4) - AX^(3//4) + 16X^(5//4)` `ax^2 + X^(3//4) + 9X^(1//4)` 0 1 Answer :A

Discussion

4086.	clog_5log_5(3125).
Answer» SOLUTION :`log_5.log_5(3125)=log_5log_(5)5^5=LOG^5log_(5)5=log_(5)5.1(becauselog_(5)5=1)=log_(5)5=1log_5log_5(3125)=1`

Discussion

4087.	When the remainder when (9)^(11)is divided by 11.
Answer» 2 4 7 9 Answer :d

Discussion

4088.	Let WXYZ be a square. Let P, Q, R, be the midpoints of WX, XY and ZW respectively and K, L be the midpoints of PQ and PR respectively. What is the value of "Area of triangle PKL"/"Area of square WXYZ"=?
Answer» `1/32` `1/16` `1/8` `1/64` ANSWER :B

Discussion

4089.	The number ubrace(1111.....1)_("119 times") is a:
Answer» PRIME number composite number multiple of 3 none Answer :B

Discussion

4090.	(1+cottheta-cosectheta)(1+tantheta+sectheta)=?
Answer» 1 2 0 `-1` ANSWER :B

Discussion

4091.	Which of the following pairs have identical bond order?
Answer» `f(x)=SQRT(x^(2)), G(x)=(sqrtx)^(2)` `f(x)=(1)/(sqrt(x^(2))), g(x)=(x)/(x^(2))` `f(x)=log(x-1)+log(x-2), g(x)=log(x-1)(x-2)` none of the above Answer :D

Discussion

4092.	Sachin and Mongiya starting from the same place walk at the rate of 7.5 km/h and 9 km/h respectively.What time will they take to be 7.5 km apart if they walk in the same direction?
Answer» 3 h 4 h 5 h none of these Answer :C

Discussion

4093.	Two trains of lengths 80 m and 90 m are moving in opposite directions at 10 m/s and 7 m/s, respectively. Find the time taken by the trains to cross each other.
Answer» ANSWER :`=10 s`

Discussion

4094.	Average marks of 100 students of a class is 58. Later it was found that 86 was mistakenly written as 68. Find the actual average.
Answer» ANSWER :58.18

Discussion

4095.	Two trains are moving in the same direction with speeds of 19 km/h and 25 km/h, re spectively.What will be the relatives peed of the train running at 25km/h in respect of the train running at 19 km/h?
Answer» ANSWER :`=6 km//h`

Discussion

4096.	For a,b,c and d are distnct numbers, if roots of the equation x^2-10cx-11d=0 are a,b and those of x^2-10ax-11b=0 are c,d then the value of a+b+c+d is
Answer» 1221 1100 1210 cannot be determined Answer :C

Discussion

4097.	For a positive real x(x gt 1), which one of the following correct?
Answer» `X/(1+x)ltxltlog(x+1)` `xltx/(1+x)ltlog(x+1)` `LOG(x+1)LTX/(1+x)ltx` `x/(1+x)ltlog(x+1)ltx` ANSWER :D

Discussion

4098.	A contractor undertakes to make a road in 40 days and employs 25 men. After 24 days, he finds that only one-third of the road is made. How many extra men should he employ so that he is able to complete the work 4 days earlier?
Answer» 70 75 80 85 Answer :75

Discussion

4099.	Present age of A is 2 times the present age of B. After 8 years the B's age will be 4 times of C's present age. If C celebrated his fifth birthday 9 years ago, then what is the present age (in years) of A?
Answer» 88 96 92 84 Solution :Suppose the PRESENT age of B= X YEARS Therefore , the present age of A =2x years Present age of C = 5+9 =14 years According to QUESTION x + 8 = 14 x 4 `rArr` x = 56 - 8 =48 `therefore` Present age of A = 2x = 2 x 48 = 96 years.

Discussion

4100.	One Munnabhai gets admitted to a psychiatric hospital. In his room, there are two bulbs connected to two different switches, independently. One night, whilw accompanying him, his buddy Circiut notices that there is, initially, no light in the room, but whenever a mosquito bites him he switches on the light and then immediately switches it off. Throughout the night, Munnabhai presses the switch(on/off) six times. Finally when Munnabhai stops playing around with the switches, Circuit notices that there is no light in the room. In how many ways Munnabhai ends up having no light in his room by pressing the given switches on or off exactly six times?
Answer» A) 3 B) 4 C) 6 D) 8 Answer :D

Discussion

Explore topic-wise InterviewSolutions in .

The ratio of milk and water in a mixture is 5 : 3. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of milk and water in the mixture becomes 1 : 1?

यदि 3a और 4b का अंकगणितीय माध्य 50 से अधिक हो और a,b का दुगुना हो तो a का लघुत्तम संभव पूर्णांक मान क्या होगा?

A rectangular tank of dimensions24 m x 12 m xx 8 mis dug inside a rectangular field 600 m long and 200 m broad . The earth taken out is evenly spread over the field. By how much will the level of the field rise ?

The third proportional to 9 and 12 is ?

Convert (101100101)_2 to octal.

A petrol pump owner mixed leaded and unleaded petrol in such a way that the maximum contains 10% unleaded petrol. What quantity of leaded petrol should be added to 1 litre mixture so that the percentage of unleaded petrol become 5% .

If from point 100 m above the ground the angles of depression of two objects due south on the ground are 60^(@) and 45^(@), then the distance between the objects is :

A={2,3,5,7,11,...89,97} B={4,6,8,10,12,...98,100} C={3,9,15,21,27,33...,99} If a smallest and a greatest element of the Set B is transferred to Set A, then the average of A,B,C respectively :

If log_27x=4/3, then the value of x is :

A dishonest trader marks up his goods by 80% and gives discount of25%. Besides he gets 20% more amount per kg from wholesaler and sells 10% less per kg to customer. What is the overall profit percentage?

If a man runs at 10 km/h, then he arrives at a certain place at 1 p.m. But if he increases his speed by 5 km/h then he reaches there at 11 a.m. At what speed must he run to get there at 12 pm.

A number of the form 10^(n) - 1 is always divisible by 11 for every n is a natural number, when :

The probability that it is Friday and a student is absent, is 0.03. Since, there are 5 school days in a week, the probability that it is Friday is 0.2. What is the probability that a student is absent, given that today is Friday?

A shopkeeper sells watermellon at profit of 10% but cheats to the extent of 10% while measuring Find profit %.

The sum of n terms ofa series is 3n^2+5n find the value of n if nth term is 152:

If the compound interest on a certain sum for two years at 12% per annum is Rs. 2544, the simple interest on it at the same rate for 2 years will be

30 workers can finish a work in 20 days. After how many days should 9 workers leave the job so that the work is completed in total 26 days :

At a casino in Mumbai, there are 3 tables A, B and C. The pay-offs at A is 10 : 1, at B is 20 : 1 and C is 30 : 1. If a man bets ₹ 200 at each table and win at two of the tables, what is the maximum and minimum difference between his earnings can be?

Solve (x-2)/(x+2) gt (2x-3)/(4x-1).

Each angle of a regular hexagon is:

Which of the following is not a quadratic equation

A number when divided by 899 gives a remainder 63. If the same number is divided by 29, the remainder will be :

If 45 students can consume a stock of food in 2 months, find for how days the same stock of food will last for 27 students?

A father is twice as old as his son. 20yr back, he was twelve times as old as his son. What is the present age of father ?

505-50-5-50-5-5 = ?

Express the following ratios as percentage : (i) 1 : 5 (ii) 2:3 (iii) 4:9

The solution of (25)^(x -2) = (5)^((3)(2x - 4)) :

A car travels from P to Q at a constant speed. If its speed were increased by 7 km/h, it would have taken one hour less to cover the distance. It would have taken 1 hour more if the speed were decreased by 5 km/h. What is the distance between two cities and find the speed of car?

25p^2-55sqrt11p+198=0 25q^2+55sqrt11q+198=0

600 students took the test on Physics and Chemistry.35% students failed in Physics and 45% students failed in Chemistry and 40% of those who passed in Chemistry also passed in Physics, then how many students failed in both?

If 12 men or 20 women can do a work in 54 days, then in how many days can 9 men and 12 women together do the work?

In a mixture of milk and water of the volume 30L, the ratio of milk and water is 8:7. How much water should be added in mixture to make ratio 4:5 ?

The value of (a^(2/3) +2a^(1/2)+3a^(1/3) +2a^(1/6)+1)(a^(1/3)-2a^(1/6)+1)-a^(1/2)(a^(1/2)-2), when a = 7, is: (a^(2/3) +2a^(1/2)+3a^(1/3) +2a^(1/6)+1)(a^(1/3)-2a^(1/6)+1)-a^(1/2)(a^(1/2)-2),का मान ज्ञात कीजिए, जब a= 7 है:

clog_5log_5(3125).

When the remainder when (9)^(11)is divided by 11.

Let WXYZ be a square. Let P, Q, R, be the midpoints of WX, XY and ZW respectively and K, L be the midpoints of PQ and PR respectively. What is the value of "Area of triangle PKL"/"Area of square WXYZ"=?

The number ubrace(1111.....1)_("119 times") is a:

(1+cottheta-cosectheta)(1+tantheta+sectheta)=?

Which of the following pairs have identical bond order?

Sachin and Mongiya starting from the same place walk at the rate of 7.5 km/h and 9 km/h respectively.What time will they take to be 7.5 km apart if they walk in the same direction?

Two trains of lengths 80 m and 90 m are moving in opposite directions at 10 m/s and 7 m/s, respectively. Find the time taken by the trains to cross each other.

Average marks of 100 students of a class is 58. Later it was found that 86 was mistakenly written as 68. Find the actual average.

Two trains are moving in the same direction with speeds of 19 km/h and 25 km/h, re spectively.What will be the relatives peed of the train running at 25km/h in respect of the train running at 19 km/h?

For a,b,c and d are distnct numbers, if roots of the equation x^2-10cx-11d=0 are a,b and those of x^2-10ax-11b=0 are c,d then the value of a+b+c+d is

For a positive real x(x gt 1), which one of the following correct?

A contractor undertakes to make a road in 40 days and employs 25 men. After 24 days, he finds that only one-third of the road is made. How many extra men should he employ so that he is able to complete the work 4 days earlier?

Present age of A is 2 times the present age of B. After 8 years the B's age will be 4 times of C's present age. If C celebrated his fifth birthday 9 years ago, then what is the present age (in years) of A?