Official Quant thread for CAT 2013

MBA CAT 2024
6181
@insane.vodka said:
Find the smallest positive integer such that when its leftmost digit is removed, the resulting number becomes 1/57th of original number.

As discussed above the number cannot be 3 digit
1000a+100b+10c+d /57 = 100a+10b+c
1000a =5600b+560c+56d
250a=1400b+140c+14d
b=1 => 140c +14d should be multiple of 350,600,850 [LHS is multiple of 250]
this can be achived by putting c=2 and d=5 lowest => a=7
so 7125
6182
@realslimshady said:
find the remainder in the following a.3^1001/21 b.25^91/15sorry i dnt have options for any these. help, please
a. 12
3^1001/21=3(3^1000 mod 7)
3(3^4 mod 7)=12
b. 10

6183
@vivek_goswami said:
yaar iska solution post karna In a circle, the height of an arc is 21 cm and thediameter is 84 cm. Find the chord of 'half of the arc'.A. 45 cm B. 40 cmC. 42 cm D. None of the aboveThanks in advance.
c.42
6184
@vivek_goswami said:
yaar iska solution post karna In a circle, the height of an arc is 21 cm and thediameter is 84 cm. Find the chord of 'half of the arc'.A. 45 cm B. 40 cmC. 42 cm D. None of the aboveThanks in advance.
Bhai chk out the figure ....since the arc is at a height of 21 from center so radius of arc is 21...and so the length 42
6185
@vivek_goswami said:
yaar iska solution post karna In a circle, the height of an arc is 21 cm and thediameter is 84 cm. Find the chord of 'half of the arc'.A. 45 cm B. 40 cmC. 42 cm D. None of the aboveThanks in advance.
42 edited
6186

The quadratic equation ax^2-6x+b has equal and real roots. If a and b are natural numbers. how many ordered pairs of (a,b) are possible?

0

1

2

3

6187
@realslimshady said:
find the remainder in the following a.3^1001/21 b.25^91/15sorry i dnt have options for any these. help, please
12

10
6188
@techsurge said:
The quadratic equation ax^2-6x+b has equal and real roots. If a and b are natural numbers. how many ordered pairs of (a,b) are possible?0123
3...(1,9),(9,1),(3,3)
6189

@techsurge said:
The quadratic equation ax^2-6x+b has equal and real roots. If a and b are natural numbers. how many ordered pairs of (a,b) are possible?0123
Is it 3 ??

6190
@techsurge said:
The quadratic equation ax^2-6x+b has equal and real roots. If a and b are natural numbers. how many ordered pairs of (a,b) are possible?0123
3
6191
@techsurge said:
The quadratic equation ax^2-6x+b has equal and real roots. If a and b are natural numbers. how many ordered pairs of (a,b) are possible?0123
3 ?
6192
@techsurge said:
The quadratic equation ax^2-6x+b has equal and real roots. If a and b are natural numbers. how many ordered pairs of (a,b) are possible?0123
3
6193
@vivek_goswami said:
yaar iska solution post karna In a circle, the height of an arc is 21 cm and thediameter is 84 cm. Find the chord of 'half of the arc'.A. 45 cm B. 40 cmC. 42 cm D. None of the aboveThanks in advance.
What is height of an arc ???
6194
A number x is selected from first 100 natural numbers. Find the probability that x satisfy the condition x + 100/x > 50.
6195
@techsurge said:
The quadratic equation ax^2-6x+b has equal and real roots. If a and b are natural numbers. how many ordered pairs of (a,b) are possible?0123
3?
6196
@pankaj1988 said:
A number x is selected from first 100 natural numbers. Find the probability that x satisfy the condition x + 100/x > 50.
11/20 ??
6197
@pankaj1988 said:
A number x is selected from first 100 natural numbers. Find the probability that x satisfy the condition x + 100/x > 50.
54/100 = 27/50 ?
6198
@pankaj1988 said:
A number x is selected from first 100 natural numbers. Find the probability that x satisfy the condition x + 100/x > 50.
Is it 11/20?
6199
@pankaj1988 said:
A number x is selected from first 100 natural numbers. Find the probability that x satisfy the condition x + 100/x > 50.
53/100
6200
@mailtoankit said:
3?
@rachit_28 said:
54/100 = 27/50 ?
@akansh_1 said:
Is it 11/20?
@techsurge said:
53/100
OA -55/100=11/20...Condition satisfied for x=1, 2 and x>=48