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2601.

Number of subsets of set B= {1, 2, 3, 6, 8, 9} is___

Answer» Number of subsets of set B= {1, 2, 3, 6, 8, 9} is___
2602.

If the sum of the first m terms of an AP is n and the sum of first n terms is m. Then, show that the sum of its first (m+n) terms is -(m+n)

Answer» If the sum of the first m terms of an AP is n and the sum of first n terms is m. Then, show that the sum of its first (m+n) terms is -(m+n)
2603.

The water level in a dam is 500 yd. Due to heavy rain the level of water is increasing 5% for every 10 days of the total level. Find the missing number. Time taken (in days) Water level (in yd) 0 500 10 A 20 551.25 30 578.8125 525

Answer» The water level in a dam is 500 yd. Due to heavy rain the level of water is increasing 5% for every 10 days of the total level. Find the missing number.























Time taken (in days) Water level (in yd)
0 500
10 A
20 551.25
30 578.8125


  1. 525
2604.

Simplify (81/16) ³/⁴

Answer» Simplify (81/16) ³/⁴
2605.

Find the value of k for which one root of the equation kx2−14x+8=0 is 6 times the other.

Answer» Find the value of k for which one root of the equation kx214x+8=0 is 6 times the other.
2606.

Let n be a positive integer. Then the number of common factors of n2 + 3n + 1 and n2 + 4n + 3 is

Answer»

Let n be a positive integer. Then the number of common factors of n2 + 3n + 1 and n2 + 4n + 3 is



2607.

If a→,b→,c→ are the position vectors of vertices of a triangle having its centroid at the origin, then a→+b→+c→ = _______________.

Answer» If a,b,c are the position vectors of vertices of a triangle having its centroid at the origin, then a+b+c = _______________.
2608.

The distance (in km) of 40 engineers from their residence to their place of work were found as follows 5 3 10 20 25 11 13 7 12 31 19 10 12 17 18 11 32 17 16 2 7 9 7 8 3 5 12 15 18 3 12 14 2 9 6 15 15 7 6 12 What is the empirical probability that an engineer lives(i) less than 7 km from her place of work?(ii) with in 12 km from her place of work?

Answer» The distance (in km) of 40 engineers from their residence to their place of work were found as follows



















































5 3 10 20 25 11 13 7 12 31
19 10 12 17 18 11 32 17 16 2
7 9 7 8 3 5 12 15 18 3
12 14 2 9 6 15 15 7 6 12



What is the empirical probability that an engineer lives

(i) less than 7 km from her place of work?

(ii) with in 12 km from her place of work?
2609.

If a,b,c are in GP, a-b, c-a, b-c are in HP then a+4b+c is equal to i)0 ii) 1 iii) -1 iv) None

Answer» If a,b,c are in GP, a-b, c-a, b-c are in HP then a+4b+c is equal to i)0 ii) 1 iii) -1 iv) None
2610.

If A, B, C are three points on a line such that AB = 5 cm, BC = 3 cm and AC = 8 cm, which one of them lies between the other two?

Answer» If A, B, C are three points on a line such that AB = 5 cm, BC = 3 cm and AC = 8 cm, which one of them lies between the other two?
2611.

To determine the BOD5 of a waste water sample 10, 50, 75 and 100 ml samples of the waste water were diluted to 500 ml and incubated at 20∘C in BOD bottles for 5 days. The results were as follows:S.NoWaste water volume, mlInital DO, mg/lDo after 5 days, mg/l1109.86.92508.64.53.758.21.24.1008.00.0Based on the above data, the average BOD5 of the waste water sample is mg/l77.56

Answer»

To determine the BOD5 of a waste water sample 10, 50, 75 and 100 ml samples of the waste water were diluted to 500 ml and incubated at 20C in BOD bottles for 5 days. The results were as follows:

S.NoWaste water volume, mlInital DO, mg/lDo after 5 days, mg/l1109.86.92508.64.53.758.21.24.1008.00.0

Based on the above data, the average BOD5 of the waste water sample is mg/l



  1. 77.56
2612.

Modern electronic shop sold the 30% hardware at the profit of 50% and 90% software at the profit of 10%. The average profit percent of the Modern electronic shop is if it sells only these two kinds of things and that's too in equal numbers.

Answer»

Modern electronic shop sold the 30% hardware at the profit of 50% and 90% software at the profit of 10%. The average profit percent of the Modern electronic shop is if it sells only these two kinds of things and that's too in equal numbers.


2613.

Solve the following pair of linear equations by elimination method:2x + 3y = 134x – y = 12

Answer» Solve the following pair of linear equations by
elimination method:
2x + 3y = 13
4x – y = 12
2614.

The total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets at least one ball is

Answer»

The total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets at least one ball is

2615.

If area of triangle PHD, PFI and PGE are 9, 16 and 25 sq.units, then find the area of ΔABC. Given that DE || BC, FG || Ab and HI || AC

Answer» If area of triangle PHD, PFI and PGE are 9, 16 and 25 sq.units, then find the area of ΔABC. Given that DE || BC, FG || Ab and HI || AC
2616.

A cow and a goat are tied with ropes of different length so that they can move around in circles on the grazing ground. Which animal has access to more grass to graze?

Answer» A cow and a goat are tied with ropes of different length so that they can move around in circles on the grazing ground. Which animal has access to more grass to graze?




2617.

In a survey of 600 students in a school, 150 students were found to be drinking Tea and 225 drinking Coffee, 100 were drinking both Tea and Coffee. Find how many students were drinking neither Tea nor Coffee

Answer» In a survey of 600 students in a school, 150 students were found to be drinking Tea and 225 drinking Coffee, 100 were drinking both Tea and Coffee. Find how many students were drinking neither Tea nor Coffee
2618.

The smallest number which when diminished by 3 is divisible by 14, 28, 36 and 45, is(a) 1257(b) 1260(c) 1263(d) none of these

Answer» The smallest number which when diminished by 3 is divisible by 14, 28, 36 and 45, is

(a) 1257

(b) 1260

(c) 1263

(d) none of these
2619.

In fig, as shown a right circular cone of height 30cm. A small cone is cut off from the top by a plane parallel to the base. If the volume of the small cone is 127 of the volume of given cone, fine at what height above the base is the section made.

Answer» In fig, as shown a right circular cone of height 30cm. A small cone is cut off from the top by a plane parallel to the base. If the volume of the small cone is 127 of the volume of given cone, fine at what height above the base is the section made.
2620.

A currency trader quotes the following on 11 November 2010 at 2:30 p.m. On the basis of the data, answer the following questions. Q10. For how many currencies does the difference between the selling and buying rates of hundred units of that currency exceed 2300?

Answer»

A currency trader quotes the following on 11 November 2010 at 2:30 p.m. On the basis of the data, answer the following questions.

Q10. For how many currencies does the difference between the selling and buying rates of hundred units of that currency exceed 2300?


2621.

Two numbers b and c are chosen at random with replacement from the numbers 1,2,3,4,5,6,7,8 and 9. The probability that x2+bx+c>0 for all xϵR is:

Answer»

Two numbers b and c are chosen at random with replacement from the numbers 1,2,3,4,5,6,7,8 and 9. The probability that x2+bx+c>0 for all xϵR is:

2622.

A water treatment plant capacity, 1 m3/s has filter boxes of dimension 6×10 m. Loading rate to the filter is 120 m3/day/m2. When two of the filters are out of service for back washing, the loading rate (in m3/d/m2) is144

Answer» A water treatment plant capacity, 1 m3/s has filter boxes of dimension 6×10 m. Loading rate to the filter is 120 m3/day/m2. When two of the filters are out of service for back washing, the loading rate (in m3/d/m2) is
  1. 144
2623.

In a 4000 meter race around a circular stadium having a circumference of 1000 meters, the fastest runner and the slowest runner reach the same point at the end of the 5th minute, for the first time after the start of the race. All the runners have the same staring point and each runner maintains a uniform speed throughout the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race?

Answer»

In a 4000 meter race around a circular stadium having a circumference of 1000 meters, the fastest runner and the slowest runner reach the same point at the end of the 5th minute, for the first time after the start of the race. All the runners have the same staring point and each runner maintains a uniform speed throughout the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race?

2624.

Question 33A letter of English alphabets is chosen at random. Determine the probability that the letter is a constant.

Answer» Question 33

A letter of English alphabets is chosen at random. Determine the probability that the letter is a constant.
2625.

If n is the smallest natural number such that n + 2n + 3n +....+ 99n is a perfect square, then the number of digits in n2 is

Answer»

If n is the smallest natural number such that n + 2n + 3n +....+ 99n is a perfect square, then the number of digits in n2 is



2626.

Statements: P $ Q, Q δ S, S * R Conclusions: I. S * P II. S $ P

Answer»

Statements: P $ Q, Q δ S, S * R

Conclusions:

I. S * P

II. S $ P


2627.

two circles with centre A and B of radii 3 and 4 cm respectively,intersect at two point P and Q such that AP and BP are †an gents of two circle .Find the length of common chord P

Answer» two circles with centre A and B of radii 3 and 4 cm respectively,intersect at two point P and Q such that AP and BP are †an gents of two circle .Find the length of common chord P
2628.

If the price of petrol increases by 35% and Benson intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?

Answer»

If the price of petrol increases by 35% and Benson intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?


2629.

35.how many nodal plane does sigma 2pz, sigma*2pz,π*2px has?

Answer» 35.how many nodal plane does sigma 2pz, sigma*2pz,π*2px has?
2630.

A and B are seeking admission into IIT. If the probability for A to be selected is 0.5 and both to be selected is 0.3. Then atmost probability of B is

Answer» A and B are seeking admission into IIT. If the probability for A to be selected is 0.5 and both to be selected is 0.3. Then atmost probability of B is
2631.

A circle with radius 2 is placed against a right angle. Another smaller circle is also placed as shown in the adjoining figure. What is the radius of the smaller circle?

Answer» A circle with radius 2 is placed against a right angle. Another smaller circle is also placed as shown in the adjoining figure. What is the radius of the smaller circle?

2632.

If the passcode for the batch 4 pm to 5 pm batch is ‘any cast and at is hole search’, which batch will have the passcode ‘search is cast at and any hole’?

Answer»

If the passcode for the batch 4 pm to 5 pm batch is ‘any cast and at is hole search’, which batch will have the passcode ‘search is cast at and any hole’?


2633.

Find the sum of the odd numbers between 0 and 50.

Answer» Find the sum of the odd numbers between 0 and 50.
2634.

how to find out largest 5 digit number which is a perfect cub

Answer» how to find out largest 5 digit number which is a perfect cub
2635.

Vikrant drives to office from home every day at a steady rate of x kilometers per hour. On a particular day, Vikrant car tire punctured exactly half way to office. He immediately started walking to office at a steady pace of y kilometers per hour. He arrived at office exactly t hours after leaving his home. How many kilometers is it from the office to Vikrant's home?

Answer»

Vikrant drives to office from home every day at a steady rate of x kilometers per hour. On a particular day, Vikrant car tire punctured exactly half way to office. He immediately started walking to office at a steady pace of y kilometers per hour. He arrived at office exactly t hours after leaving his home. How many kilometers is it from the office to Vikrant's home?


2636.

Fill in the grid with words given below. You can use one word more than once.stick bat/ball eleven table racket ball football stadium two or four ground Name of the game What you play with Where you play it Number of players cricket hockey table tennis football

Answer» Fill in the grid with words given below. You can use one word more than once.



stick bat/ball eleven table racket

ball football

stadium two or four ground



































Name of the game What you play with Where you play it Number of players
cricket
hockey
table tennis
football
2637.

Ken is the best sugar cube retailer in the nation. Trevor, who loves sugar, is coming over to make an order. Ken knows Trevor cannot afford more than 127 sugar cubes, but might ask for any number of cubes less than or equal to that. Ken has to prepare n cups of cubes, where n is as small as possible, with which he can satisfy any order Trevor might make. How many cubes are in the cup with the most sugar?

Answer»

Ken is the best sugar cube retailer in the nation. Trevor, who loves sugar, is coming over to make an order. Ken knows Trevor cannot afford more than 127 sugar cubes, but might ask for any number of cubes less than or equal to that. Ken has to prepare n cups of cubes, where n is as small as possible, with which he can satisfy any order Trevor might make. How many cubes are in the cup with the most sugar?

2638.

Two cyclists are moving towards each other with a speed of 4 m/s each. Initially, they were 800meters away. A naughty butterfly flies from the front of the wheel of one bicycle (point P) to thefront of the wheel of the other (point Q), back and forth. If the speed of the butterfly is 6 m/s, findthe total distance that it travels before it is wedged in between.2t 11) 300 meters2) 500 meters3) 600 meters400 meter4) 800 meters

Answer» Two cyclists are moving towards each other with a speed of 4 m/s each. Initially, they were 800meters away. A naughty butterfly flies from the front of the wheel of one bicycle (point P) to thefront of the wheel of the other (point Q), back and forth. If the speed of the butterfly is 6 m/s, findthe total distance that it travels before it is wedged in between.2t 11) 300 meters2) 500 meters3) 600 meters400 meter4) 800 meters
2639.

Ramkali saved Rs. 5 in the first week of a year and then increased her weekly saving by Rs. 1.75. If in the nth week, her weekly savings become Rs 20.75, find n.

Answer» Ramkali saved Rs. 5 in the first week of a year and then increased her weekly saving by Rs. 1.75. If in the nth week, her weekly savings become Rs 20.75, find n.
2640.

Areas of three adjacent sides of a cuboid are a,b,c. Volume of the cuboid is N. The value of N2 equals to ___

Answer» Areas of three adjacent sides of a cuboid are a,b,c. Volume of the cuboid is N. The value of N2 equals to ___
2641.

Out of 6 boys and 4 girls, a group of 7 is to be formed. In how many ways can this be done if the group is to have a majority of boys?

Answer»

Out of 6 boys and 4 girls, a group of 7 is to be formed. In how many ways can this be done if the group is to have a majority of boys?


2642.

If John is exactly 4 yrs older than Sunita, how old is John? I. Exactly 9 yrs ago, John was 5 times as old as Sunita was then. II. Sunita is more than 9 yrs old.

Answer»

If John is exactly 4 yrs older than Sunita, how old is John?

I. Exactly 9 yrs ago, John was 5 times as old as Sunita was then.

II. Sunita is more than 9 yrs old.


2643.

Complete the following division table: +20 −40 +50 −80 +100 −30 +2 +10 −5 +10

Answer»

Complete the following division table:






















































+20



40



+50



80



+100



30



+2



+10



5



+10




2644.

Given that N= abcdefghij is a ten-digit number . All of the digits (a, b, c, d, ...) are different from one another. If 1 1 1 1 1 divides it evenly, how many different possibilities are there for abcdefghij?

Answer»

Given that N= abcdefghij is a ten-digit number . All of the digits (a, b, c, d, ...) are different from one another. If 1 1 1 1 1 divides it evenly, how many different possibilities are there for abcdefghij?

2645.

A 20L mixture of milk water is in the ratio 5:3. If 4L of this mixture is to be replaced by 4L of milk, the ratio of milk to water in the new mixture would be

Answer»

A 20L mixture of milk water is in the ratio 5:3. If 4L of this mixture is to be replaced by 4L of milk, the ratio of milk to water in the new mixture would be


2646.

If the ratio of altitudes of two similar triangles is 1: 2, then the ratio of their areas is -

Answer»

If the ratio of altitudes of two similar triangles is 1: 2, then the ratio of their areas is -


2647.

Domain of the function f(x)=√[x]−x+1√25−x2 contains the following subset(s), where [.] represents greatest integer function

Answer»

Domain of the function f(x)=[x]x+125x2 contains the following subset(s), where [.] represents greatest integer function

2648.

Using digit sum rule, find out if 13488 is a perfect square.

Answer» Using digit sum rule, find out if 13488 is a perfect square.
2649.

Which of the following can be the most appropriate title for the passage/story?

Answer»

Which of the following can be the most appropriate title for the passage/story?


2650.

A rubber ball is dropped from a height of 4 meters onto a concrete floor. It bounces to 75% of its original height and drops back down, bouncing many times in ever-smaller bounces. If it did this forever how much total distance did the ball cover?

Answer»

A rubber ball is dropped from a height of 4 meters onto a concrete floor. It bounces to 75% of its original height and drops back down, bouncing many times in ever-smaller bounces. If it did this forever how much total distance did the ball cover?