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Aditi singh 12 years ago

29) If x^2 < 1/100 and x< 0 What is the tightest range in which x can lie?

a)-1/10 < x < 0 b)-1 < x < 0 c)-1/10 < x < 1/10 d)-1/10

Reply Like? Yes | No

saurabh keshari 12 years ago

option a is the answer

Like? Yes | No

tejasvi gamini 12 years ago

option a is correct

Like? Yes (1) | No

Aditi singh 12 years ago

28) If n is the sum of two consecutive odd integers and less than 100, what is the greatest possibility of n?

a)98 b)94 c)96 d)99

Reply Like? Yes (2) | No

deevi.sriramya 12 years ago

98 is the greatest possibility

Like? Yes | No (2)

saurabh keshari 12 years ago

96 is the answer

Like? Yes (1) | No

Aditi singh 12 years ago

wat are the 2 consecutive odd no's that u added???

Like? Yes | No

bhavani 12 years ago

98 is the greatest possibility of n

Like? Yes | No

Aditi singh 12 years ago

yeah 96 is correct .... max odd consecutive no's are 47 and 49 adding them will result into 96.

Like? Yes | No

tejasvi gamini 12 years ago

the correct answer is 96...

Like? Yes | No

jyotsna 12 years ago

96 is the answer

Like? Yes (2) | No

Aditi singh 12 years ago

27) there are 20 balls which are red,blue,or green.If 7 balls are green and the sum of red balls and green balls is less than 13, at most how may red balls are ?

a)5 b)6 c)7 d)4

Reply Like? Yes (2) | No

deevi.sriramya 12 years ago

no of red balls=5

Like? Yes (2) | No

jyotsna 12 years ago

answer is 5 red balls

Like? Yes | No

Nirmal 12 years ago

and 5.

red + greeen < 13
red + 7 < 13
red < 6
so atmost 5 red balls.

Like? Yes | No

surbhi 12 years ago

red ball=13-7

Like? Yes | No

Aditi singh 12 years ago

26) what is the sum of all even integers between 99 and 301?

a)40000 b)20000 c)40200 d)20200

Reply Like? Yes (3) | No

abhay 12 years ago

by using arthmatic progression ans will be 20200

Like? Yes (1) | No

Rahul gee 12 years ago

It is an A.P with d=2. Therefore,a=100,l=300. we know,tn=a+(n-1)d.
300=100+(n-1)2.From this we find,n=101.
Now sum of A.P=Sn= n/2(a+l).
By solving ,you will get 20200.

Like? Yes (3) | No

kalyani dangeti 12 years ago

100+102+...........+300
100+(100+2+100+4.......+100+200)
100+(100*100+2*summation100 ) [(300-100)/100=100 even num]
10100+2*(100*101/2) [summation n=n*(n+1)/2]
10100+10100
20200

Like? Yes (1) | No

Aditi singh 12 years ago

25) if the price of an item is decreased by 10% and then increased by 10% the net effect on the price of the item is :

a)a decrease of 99% b)no change c)a decrease of 1% d)an increase of 1%

Reply Like? Yes (2) | No

raghuram dharmavarpu 12 years ago

c)a decrease of 1%
assume total amount 100 rupees,decrease amount by 10 percent it become 90.And then it is increased by 10% the amount becomes 99.So that it is decreased by 1%

Like? Yes (3) | No

Sandeep kumar 12 years ago

c) a decrease of 1%

Like? Yes | No

Prakash kumar 12 years ago

100 to 90 to 99. so 1% decrease

Like? Yes | No

Abhishek Gaurav 12 years ago

c)decrease of 1% s crct.

Like? Yes | No

Aditi singh 12 years ago

24) If m is an odd integer and n is an even integer then which of the following is definitely odd?

a. (2m+n)(m-n) b. (m+n^2)+(m-n^2) c. m^2 +mn+n^2 d. m+n

Reply Like? Yes (1) | No

raswitha 12 years ago

given that m is odd,n is even so ans is
m+n

Like? Yes (2) | No

pritam kundu 12 years ago

m+n... dear these all are tcs ques.. right??

Like? Yes | No

jyotsna 12 years ago

both c and d are correct

Like? Yes | No (1)

Bindiya S. Telgote 12 years ago

both c and d are correct options

Like? Yes (1) | No

Aditi singh 12 years ago

If 3y+x>2 and x+2y-1 c)y

Reply Like? Yes | No

pritam kundu 12 years ago

y>-1.. seesem ques

Like? Yes (1) | No

Aditi singh 12 years ago

23) If 3y+x>2 and x+2y -1 c. y < -1 d. y =1

Reply Like? Yes | No

Aditi singh 12 years ago

23) If 3y+x>2 and x+2y -1 c. y < -1 d. y =1

Like? Yes | No

Aditi singh 12 years ago

23) If 3y+x>2 and x+2y -1 c. y < -1 d. y =1

Reply Like? Yes (1) | No (1)

saurabh keshari 12 years ago

answer is 1 :)
write correct question

Like? Yes | No

Aditi singh 12 years ago

22) In the polynomial f(x) = x^5 + a*x^3 + b*x^4 +c*x + d, all coefficients a, b, c, d are integers.If 3 + sqrt(7) is a root, which of the following must be also a root? Note that x^n denotes the x raised to the power n, or x multiplied by itself n times. Also sqrt(u) denotes the square root of u, or the number which when multiplied by itself, gives the number u ?

a. 3-sqrt(7) b. 3+sqrt(21) c. 5 d. sqrt(7) + sqrt(3)

Reply Like? Yes (2) | No

Hiba 12 years ago

3-sqrt(7)
Complex and irrational numbers always exists in pairs.

Like? Yes (3) | No

raswitha 12 years ago

3-sqrt(7) is a root

Like? Yes | No

Aditi singh 12 years ago

21) In the polynomial f(x) =2*x^4 - 49*x^2 +54, what is the product of the roots, and what is the sum of the roots (Note that x^n denotes the x raised to the power n, or x multiplied by itself n times)?

a. 27,0 b. 54,2 c. 49/2,54 d. 49,27

Reply Like? Yes (1) | No

mohit ranjan basak 12 years ago

produc of roots=(-1)^n*A0/An=54/2=27
sum of roots=-An-1/An=0/2=0 hence option a is correct

Like? Yes (1) | No

pritam kundu 12 years ago

27,0 is the ans

Like? Yes | No

Aditi singh 12 years ago

20) How many divisors (including 1, but excluding 1000) are there for the number 1000?

a. 15 b. 16 c. 31 d. 10

Reply Like? Yes (1) | No

pritam kundu 12 years ago

1000=5^3*2^3...so the ans is=(3+1)(3+1)-1=15

Like? Yes (1) | No

abhishek 12 years ago

1000=2^3*5^3
so total no of divisors=4*4=16
since excluding 1000 itself hence 16-1=15

Like? Yes (1) | No

Fighter 12 years ago

ans :divisors (including 1, but excluding 1000) are there for the number 1000 :(4*4)-1=15

Like? Yes | No

raswitha 12 years ago

1000=10^3=(5*2)^3
=5^3*2^3
no of factors=(3+1)*(3+1)=16
but we have to exclude 1000 so 16-1=15 divisors

Like? Yes (1) | No

Aditi singh 12 years ago

19) A white cube(with six faces) is painted red on two different faces. How many different ways can this be done (two paintings are considered same if on a suitable rotation of the cube one painting can be carried to the other)?

a. 2 b. 15 c. 4 d. 30

Reply Like? Yes (2) | No

pritam kundu 12 years ago

ans may be 2.not sure..

Like? Yes | No (1)

Fighter 12 years ago

ans (4)*(4)-1=15

Like? Yes (1) | No

mohit ranjan basak 12 years ago

a option is correct.....either oposite two faces and adjecent of two faces.....

Like? Yes | No

Aditi singh 12 years ago

18) We have an equal arms two pan balance and need to weigh objects with integral weights in the range 1 to 40 kilo grams. We have a set of standard weights and can place the weights in any pan. . (i.e) some weights can be in a pan with objects and some weights can be in the other pan. The minimum number of standard weights required is:

a. 4 b. 10 c. 5 d. 6

Reply Like? Yes (2) | No

mohit ranjan basak 12 years ago

a ans...the standard weights are 1,3,7,27

Like? Yes (1) | No

Aditi singh 12 years ago

16) Let f(m,n) =45*m + 36*n, where m and n are integers (positive or negative) What is the minimum positive value for f(m,n) for all values of m,n (this may be achieved for various values of m and n)?

a. 9 b. 6 c. 5 d. 18

Reply Like? Yes (2) | No

nagapriyanka 12 years ago

answer is 9 i.e.,a

Like? Yes (1) | No

pritam kundu 12 years ago

put m=1 and n=-1..ans will be 9

Like? Yes | No

Aditi singh 12 years ago

15) There are a number of chocolates in a bag. If they were to be equally divided among 14 children, there are 10 chocolates left. If they were to be equally divided among 15 children, there are 8 chocolates left. Obviously, this can be satisfied if any multiple of 210 chocolates are added to the bag. What is the remainder when the minimum feasible number of chocolates in the bag is divided by 9?

a. 2 b. 5 c. 4 d. 6

Reply Like? Yes (1) | No

Nitish kumar 12 years ago

ans is 5............

Like? Yes | No (2)

nagapriyanka 12 years ago

i think it is 2

Like? Yes (2) | No

darpan jain 12 years ago

ans should be 5

Like? Yes | No (2)

pritam kundu 12 years ago

firstly see there are 38 chocolates according to the 1st two conditions..so divide 38 by 9.and the remainder is 38%9=2

Like? Yes | No

Aditi singh 12 years ago

13) Two circles of radii 5 cm and 3 cm touch each other at A and also touch a line at B and C. The distance BC in cms is?

a. √60 b. √62 c. √68 d. √64

Reply Like? Yes | No

anjali 12 years ago

bc is direct common tangent so answer is root 60

Like? Yes (1) | No

pritam kundu 12 years ago

[(5+3)^2-(5-3)^2]^0.5=sqrt(60)... this is the formula...remember it dear...it also has an explanation. bt for this case just remember it

Like? Yes (1) | No

Aditi singh 12 years ago

12. What is the maximum value of x3y3 + 3 x*y when x+y = 8?

a. 4144 b. 256 c. 8192 d. 102

Reply Like? Yes | No

anjali 12 years ago

max value occur when x=y=4. therefore max value of above ques is 4144

Like? Yes (3) | No

pritam kundu 12 years ago

put x=4 and y=4.. for such sums have a calculator..take the trials.means x=1 y=7,x=2 y=6,x=3 y=5,x=4 y=4..and get the results... for this case the maximum value will be foe x=4 and y=4

Like? Yes (1) | No

Aditi singh 12 years ago

11) A permutation is often represented by the cycles it has. For example, if we permute the numbers in the natural order to 2 3 1 5 4, this is represented as (1 3 2) (5 4). In this the (132) says that the first number has gone to the position 3, the third number has gone to the position 2, and the second number has gone to position 1, and (5 4) means that the fifth number has gone to position 4 and the fourth number has gone to position 5. The numbers with brackets are to be read cyclically. If a number has not changed position, it is kept as a single cycle. Thus 5 2 1 3 4 is represented as (1345)(2).We may apply permutations on itself If we apply the permutation (132)(54) once, we get 2 3 1 5 4. If we apply it again, we get 3 1 2 4 5 , or (1 2 3)(4) (5)
If we consider the permutation of 7 numbers (1457)(263), what is its order(how many times must it be applied before the numbers appear in their original order)?

a. 12 b. 7 c. 7! d. 14

Reply Like? Yes | No

Aditi singh 12 years ago

above question was asked in sastra..... can any1 help finding correct solution for this???

Like? Yes | No

anjali 12 years ago

it's 12, lcm of 4 and 3.

Like? Yes | No

pritam kundu 12 years ago

i could not solve it...i didn't understand it

Like? Yes | No

Aditi singh 12 years ago

10) If f(x) = 7 x +12, what is f-1(x) (the inverse function)?

a. (x-12)/7 b. 7x+12 c. 1/(7x+12) d. No inverse exists

Reply Like? Yes | No

anjali 12 years ago

the inverse function is option a.

Like? Yes | No

DHRUV KUMAR 12 years ago

a is the answer

Like? Yes (1) | No

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