Discuss CRACK THE CAT - DOUBT OVER MATHS (PROBLEM SOLVING) within the **Quant** forums, part of the CAT, XAT, MAT, CET, JMET and other Indian MBA Entrance Exams category; Originally Posted by gaurav200x
how can i be wrong in the 1st one... the last digits have to be 72 ... | | | | | **Re: CRACK THE CAT - DOUBT OVER MATHS (PROBLEM SOLVING) - **
August 23rd, 2006
Quote:
Originally Posted by **gaurav200x** how can i be wrong in the 1st one... the last digits have to be 72 to be divisible by 3. 32, 52 or 92 can't be
and for the last one... I too thought about I and III but i dun think I is completely true... bcoz 1 is not included. | __________________________________________________ _______________
LET ME ANSWER FOR Q. 1) -
The given number should be divisible by both 9 & 4
Thus, as per the rule ,
I] __DIVISIBILITY TEST FOR 4__ -
A number is divisible by 4 when the number formed by the last two rigjht hand digits is divisible by 4 or if the last two digits are 0's.
II] __DIVISIBILTY TEST FOR 9__ -
A number is divisible by 9 when the sum of its digits is divisible by 9.
Therefore, ** 3+0+5+1+4+3+2+A = 18+A**
If we take **9** ( **Option 4**), then sum of digits **(i.e. 27/9 = 3)** is divisible by ** 9**
[as per II] &
last two right hand digits **(i.e. 92/4 = 23)** is divisible by **4** [as per I]. __Hence, answer is __**4] 9**. . **PROJECTS LINKS :-** **HRM SEM 5 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **SSM SEM 5 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **HRM PPT NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **RM SEM 5 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **LOGISTICS SEM 5 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **IF SEM 6 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **MY PROJECTS THREAD** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **ONLINEGD LINKS :-** **Yahoo Messenger GD Proceedings -** *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **Newbie Guide ffor ONLINEGD Partcipants -** *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **CONCEPT BEHIND ONLINEGD** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **NEXT GD** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **NEW POINTS SYSTEM IN ONLINEGD** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **1.READ RULES CAREFULLY BEFORE POSTING. REFER FAQS.**
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August 23rd, 2006
Thanks Rahul, i did give it a deeper thought later on, and realised the mistake but since there was no power, i couldn't come online. Regards,
Gaurav Mittal
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August 23rd, 2006
If a and b are two prime nos it can take the values
78 as it is the addition of two prime nos 61,17i.e 61+17=78
Similarly 7 can be expressed as the addition of 2 and 5
The last no 23 cannot be expressed as the addition of any two prime nos.
So the correct option is 3 i.e 1 and 2 only | | | **The Following User Says Thank You to For This Useful Post:** | | | | | **Re: CRACK THE CAT - DOUBT OVER MATHS (PROBLEM SOLVING) - **
August 24th, 2006
__SQUARES AND CUBES OF NUMBERS__ **NOTE : In Q. 1 & Q. 2, (a-b){2} means, square of (a-b), likewise, follow other statements also...**
1) a and b are negative integers such that b > a. Which of the following statements(s) is/are true?
I. (a - b){2} > 0
II. (a – b){3} > 0
III. (a – b){3} < 0
IV. (a + b){3} > 0
V. (a + b){3) < 0
1] **I and II only.**
2] **II and III only.**
3] **I, III and V only.**
4] **I, III and IV only.**
2) If x < 0, y > 0 then, which of the following relations is necessarily true?
1] **y/x{2} > 0**
2] **y/x{6} > x{3}/y**
3] **y{2} + x{2} > x{3} + y{4}**
4]** xy/x{2}y > 1**
3) Which of the following is true?
I. Sum of two squares can not end in 2 and 8.
II. Sum of two cubes can not end in 3 and 9.
III. Sum of a cube and a square can not end in 0.
1] **I only.**
2] **II only.**
3] **III only.**
4] **None of these.**
4) Which of the following operations will make the number 847 a perfect square?
I. Add 53 to the number.
II. Multiply the number by 7.
III. Divide the number by 11.
IV. Divide the number by 7.
V. Subtract 6 from the number.
1] **I, II, III, IV.**
2]** I, II, IV, V.**
3]** I, II, III, V.**
4]** I, II, III, IV, V.** **PROJECTS LINKS :-** **HRM SEM 5 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **SSM SEM 5 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **HRM PPT NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **RM SEM 5 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **LOGISTICS SEM 5 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **IF SEM 6 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **MY PROJECTS THREAD** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **ONLINEGD LINKS :-** **Yahoo Messenger GD Proceedings -** *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **Newbie Guide ffor ONLINEGD Partcipants -** *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **CONCEPT BEHIND ONLINEGD** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **NEXT GD** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **NEW POINTS SYSTEM IN ONLINEGD** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **1.READ RULES CAREFULLY BEFORE POSTING. REFER FAQS.**
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August 24th, 2006
The ans to question no 3 is d)none of these as
9+49=58 which ends in 8 and 81+1=82 which ends in 2 so 1 statement in not true
Similarly 1+8=9 which is the sumof the cubes of 1 and 2 ends in 9 ans 216+27 which is the sum of cubes of 6 and 3 ends in 9
also the sum of 100+1000 ends in 0 so the third statement is false | | | **The Following User Says Thank You to For This Useful Post:** | | | | | **Re: CRACK THE CAT - DOUBT OVER MATHS (PROBLEM SOLVING) - **
August 24th, 2006
The ans to the 4 problem is option 2)I, II, IV, V.
847+53=900 which is the square of 30.
847*7=5929 which is the sqaure of 77.
847/11=77 which is not a perfect square.
847/7=121 which is the square of 11.
847-6=841 which is the square of 29
PS lz give the ans for the first 2 questions | | | **The Following User Says Thank You to For This Useful Post:** | | | | | **Re: CRACK THE CAT - DOUBT OVER MATHS (PROBLEM SOLVING) - **
August 24th, 2006
Quote:
Originally Posted by **neeraj_uchila** The ans to question no 3 is d)none of these as
9+49=58 which ends in 8 and 81+1=82 which ends in 2 so 1 statement in not true
Similarly 1+8=9 which is the sumof the cubes of 1 and 2 ends in 9 ans 216+27 which is the sum of cubes of 6 and 3 ends in 9
also the sum of 100+1000 ends in 0 so the third statement is false | good, neeraj , answer for Q. 3 is correct...
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August 24th, 2006
Quote:
Originally Posted by **neeraj_uchila** The ans to the 4 problem is option 2)I, II, IV, V.
847+53=900 which is the square of 30.
847*7=5929 which is the sqaure of 77.
847/11=77 which is not a perfect square.
847/7=121 which is the square of 11.
847-6=841 which is the square of 29
PS lz give the ans for the first 2 questions | Thanx, neeraj. Good answer.
i'm not sure abt this question...
let gaurav give answers...for 1 & 2...
these r so simple yaar... try again ! **PROJECTS LINKS :-** **HRM SEM 5 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **SSM SEM 5 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **HRM PPT NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **RM SEM 5 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **LOGISTICS SEM 5 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **IF SEM 6 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **MY PROJECTS THREAD** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **ONLINEGD LINKS :-** **Yahoo Messenger GD Proceedings -** *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **Newbie Guide ffor ONLINEGD Partcipants -** *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **CONCEPT BEHIND ONLINEGD** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **NEXT GD** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **NEW POINTS SYSTEM IN ONLINEGD** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **1.READ RULES CAREFULLY BEFORE POSTING. REFER FAQS.**
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August 24th, 2006
sorry man i did not read the note for the 1st 2 questions.
The ans for the 1 st question is 3] I, III and V only.
For the 2 nd question I am getting the 1) and2)statement as always true | | | | | | **Re: CRACK THE CAT - DOUBT OVER MATHS (PROBLEM SOLVING) - **
August 24th, 2006
Quote:
Originally Posted by **neeraj_uchila** sorry man i did not read the note for the 1st 2 questions.
The ans for the 1 st question is 3] I, III and V only.
For the 2 nd question I am getting the 1) and2)statement as always true | u r correct for Q. 1, neeraj
try again Q. 2,plz...cheer up! **PROJECTS LINKS :-** **HRM SEM 5 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **SSM SEM 5 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **HRM PPT NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **RM SEM 5 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **LOGISTICS SEM 5 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **IF SEM 6 NOTES** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **MY PROJECTS THREAD** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **ONLINEGD LINKS :-** **Yahoo Messenger GD Proceedings -** *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **Newbie Guide ffor ONLINEGD Partcipants -** *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **CONCEPT BEHIND ONLINEGD** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **NEXT GD** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **NEW POINTS SYSTEM IN ONLINEGD** - *To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.* **1.READ RULES CAREFULLY BEFORE POSTING. REFER FAQS.**
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