finsisher

from stmt 1 be it x = 1 is the only value that satisfy , 0!=1!=1 from stmt 2 x = 0 even so both are sufficient hence D is the ans

I think its A , C is wordy

supposedly is adverb i think supposed is is adjective , and an adjective should modify a noun. which was required here hence B is correct

C for me too, conclusion....that construction is the only correct usage amongst all options

agree C should be the ans, apart from tense problem in B ,For sympathizing is more correct than to sympathize

agree B should be the ans

this is already discussed please search

yes u r very true

lets see and example, 3/2 =1.5 its terminating, 3/4=0.75 3/5 = 0.6 3/25=0.12 etc...... so you can see that when denominator contains either 2 or 5 only or their combination(multiple) it will always be terminating and hence it will be a rational number

take simple eg,,, h(100) = 2 *4*8*10......100 so ,= 2^50(1.2.3......25)= 2^50*2*2^2*2^3*2^4( 1.3.5.6.7.9.10.11.12.13.14.15.17.18.19.20.21.22.23.24.25) and so on h(100)+1 will have a smallest prime no greater than 50 hence E

Two different numbers when divided by the same divisor left remainders of 11 and 21 respectively. When the numbers' sum was divided by the same divisor, the remainder was 4. What was the divisor? 36, 28, 12, 9 or none

How many integers less than 1000 have no factors (other than 1) in common with 1000? (1) 400 (2) 410 (3) 411 (4) 412 (5) None of the above

The numbers x and y are three-digit positive integers, and x + y is a four-digit integer. The tens digit of x equals 7 and the tens digit of y equals 5. If x I. The units digit of x + y is greater than the units digit of either x or y. II. The tens digit of x + y equals 2. III. The hundreds digit of y is at least 5. A. II only B. III only C. I and II D. I and III E. II and III

Find the value of 1.1! + 2.2! + 3.3! + ......+n.n! (1) n! +1 (2) (n+1)! (3) (n+1)!-1 (4) (n+1)!+1 (5) None of these

Obtain the sum of all positive integers up to 1000, which are divisible by 5 and not divisible by 2. (1) 10050 (2) 5050 (3) 5000 (4) 50000

If P represents the product of the first 15 positive integers, then P is not a multiple of: a) 99 b) 84 c) 72 d) 65 e) 57

use 1st and 2nd image as clip1 and clip2 respectively

23. If Clip1.gif, what is the unit’s digit of clip2.gif? (A) 0 (B) 1 © 3 (D) 5 (E) 9 Sol: ???????

it should be 30%

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cracked it in 10 seconds without using ink 60 is the ans

agree with Rajat , i hope question is not x= (b!)/C

D be it

easy one C it is

IMO C, why do we need those, where is the plural subject? i guess light is being compared and not the telescopes, those may refer to telescope which would change the meaning