Official Quant thread for CAT 2013

MBA CAT 2024
13183

Q. The value of (1.001001001)^1/3 - (1.001001)^1/3 closest to ?


a. 0 b. (10)^ -6 c. 3*(10)^ -9 d. 3.3*(10)^ -10
13184
The base 6 representation of 0.33333..... is
(1) 3/5 (2) 2/3 (3) 1/3 (4) 3/4 (5) none of these
13185
@pirateiim478
never took into account the 2 ways from z to c .
13186
1. When a number 'N' is divided by a proper divisor 'D' then it leaves a remainder of 14 and if the thrice of that number i.e. 3N is divided by the same divisor D, the remainder comes out to be 8. Again if the 4 times of the same number i.e. '4N' is divided by D the remainder will be:
(a) 35
(b) 22
(c) 5
(d) can't be determined
13187
@pirateiim478 said:
P is a natural number. 2P is having 28 divisors and 3P has 30 divisors. How many divisors of 6P will be there?Options :35,40,45,48,NOT
35 :)
13188
2. A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number is:
(a) 175
(b) 75
(c) 680
(d) 580
13189
@Logrhythm said:
The base 6 representation of 0.33333..... is (1) 3/5 (2) 2/3 (3) 1/3 (4) 3/4 (5) none of these
Is it 3/5???
13190
3. When a natural number is divided by a certain divisor, we get 15 as a remainder. But when the 10 times of the same number is divided by the same divisor we get 6 as a remainder. The maximum possible numbers of such divisors is:
(a) 6
(b) 7
(c)15
(d) can't be determined
13191
@TootaHuaDil said:
1. When a number 'N' is divided by a proper divisor 'D' then it leaves a remainder of 14 and if the thrice of that number i.e. 3N is divided by the same divisor D, the remainder comes out to be 8. Again if the 4 times of the same number i.e. '4N' is divided by D the remainder will be: (a) 35(b) 22(c) 5(d) can't be determined
Is it CBD??
I am getting 2 values for D,ie, 17 or 34
13192
@TootaHuaDil said:
1. When a number 'N' is divided by a proper divisor 'D' then it leaves a remainder of 14 and if the thrice of that number i.e. 3N is divided by the same divisor D, the remainder comes out to be 8. Again if the 4 times of the same number i.e. '4N' is divided by D the remainder will be: (a) 35(b) 22(c) 5(d) can't be determined
22?
13193
@TootaHuaDil said:
When a number 'N' is divided by a proper divisor 'D' then it leaves a remainder of 14 and if the thrice of that number i.e. 3N is divided by the same divisor D, the remainder comes out to be 8. Again if the 4 times of the same number i.e. '4N' is divided by D the remainder will be: (a) 35(b) 22(c) 5(d) can't be determined
22 :P

N=nD +14
3N=mD + 8

adding them 4N=(m+n)D +22

so rem 22
13194
@TootaHuaDil said:
3. When a natural number is divided by a certain divisor, we get 15 as a remainder. But when the 10 times of the same number is divided by the same divisor we get 6 as a remainder. The maximum possible numbers of such divisors is:(a) 6(b) 7(c)15(d) can't be determined
Factors of 144, greater than 15
Ans: (b) 7
Eh??
13195
4. A certain number 'C' when divided by N1 it leaves a remainder of 13 and when it is divided by N2 it leaves a remainder of 1, where N1 and N2 are the positive integers. Then the value of N1+N2 is, if N1/N2=5/4
(a) 36
(b) 27
(c)54
(d) can't be determined uniquely
13196
@TootaHuaDil said:
1. When a number 'N' is divided by a proper divisor 'D' then it leaves a remainder of 14 and if the thrice of that number i.e. 3N is divided by the same divisor D, the remainder comes out to be 8. Again if the 4 times of the same number i.e. '4N' is divided by D the remainder will be: (a) 35(b) 22(c) 5(d) can't be determined
b)22

N=14
D=34
13197
@TootaHuaDil said:
2. A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number is:(a) 175(b) 75(c) 680(d) 580
75 hoga kya?
13198
@Logrhythm Yup correct :)
13199
@joyjitpal Yup 75 :)
13200
@TootaHuaDil said:
@joyjitpal Yup 75
can be done from the options i guess
13201
@bluechameleon18 yes right ..it will be 7
13202
@TootaHuaDil said:
3. When a natural number is divided by a certain divisor, we get 15 as a remainder. But when the 10 times of the same number is divided by the same divisor we get 6 as a remainder. The maximum possible numbers of such divisors is:(a) 6(b) 7(c)15(d) can't be determined
means that 10*15 when divided by the divisor leaves remainder as 6/// also the divisor should be more than 15 and 6.... 150/divisor leaves remainder 6... factors of 144 which are greater than 15.... 144 = 2^4*3^2 .. total no. of factors is 15... factors less than 15 are.. 1,2,3,4,6,8,9,12... hence 7 divisors are possible...