Official Quant thread for CAT 2013

MBA CAT 2022
2121
@mbajamesbond said:
I have three kinds of boxes: large, standard and small. I place 11 large boxes on a table. Ileave some of these empty and in each of the others I place 8 standard boxes. Some of thestandard boxes are left empty and in each of the others I place 8 small boxes. All thesmall boxes are empty. Of all the boxes on the table, 102 are now empty. How manyboxes have I used all together?A) 64 B) 102 C) 115 D) 118 E) one cannot say
115 ? Nice Q :)
2122
@mbajamesbond said:
I have three kinds of boxes: large, standard and small. I place 11 large boxes on a table. Ileave some of these empty and in each of the others I place 8 standard boxes. Some of thestandard boxes are left empty and in each of the others I place 8 small boxes. All thesmall boxes are empty. Of all the boxes on the table, 102 are now empty. How manyboxes have I used all together?A) 64 B) 102 C) 115 D) 118 E) one cannot say
Bhai ans bata do,
Large boxes= 11
Let x be left empty and in (11-x) I put 8 standard boxes
Total empty standard boxes = (11-x)8=88-8x
Let y of total empty standard boxes be left empty and in remaining I put 8 small boxes
Total small boxes which are empty=(88-8x-y)*8=704-64x-8y
Total empty boxes=704-64x-8y+y+x = 102
9x+y=86
x and y can have more than one value so E) can't say
Please confirm.
2123
@staaalinnn said:
Q> If N be the number of consecutive zeros at the end of the decimal representation of the expression 1! × 2! × 3! × 4! ×............× 99! × 100!.Find the remainder when N is divided by 1000?Options: a) 123 b) 124 c) 125 d) None of these

24+5*(22+21+20+19+18+16+15+14+13+12+10+9+8+6+4+3+2+1)
=1124

1124mod1000=124

2124
@gs4890 said:
115 ? Nice Q
appraoch
2125
@staaalinnn said:
Q> If N be the number of consecutive zeros at the end of the decimal representation of the expression 1! × 2! × 3! × 4! ×............× 99! × 100!.Find the remainder when N is divided by 1000?Options: a) 123 b) 124 c) 125 d) None of these
124 aa raha hain

approach mat poochna ; lag gayi meri karte karte :banghead:
2126
@Brooklyn said:
appraoch
make a diagram & solve ; becomes easier

only 1 large box is used to fill both standard & small boxes
2127
@gs4890 said:
115 ? Nice Q
@Brooklyn said:
appraoch

(11-x)+(8x-y)+8y=102
=>7y+7x=91
=>x+y=13

x+y=13

x=no. of large box used
y=no. of standard box used

total used when

x=10,y=3
=>11+80+24=115
...
x=4,y=9
=>11+32+82=115

x=3,y=10
=>11+24+80=115

x=2,y=11
=>11+16+88=115
2128
@gs4890 said:
make a diagram & solve ; becomes easieronly 1 large box is used to fill both standard & small boxes
nai sir, not necessary but 115 is correct ^
2129
@krum explain kariyo yar !!
2130
@Brooklyn said:
@krum explain kariyo yar !!
yaar manle

x large box use kia,matlab 11-x large box empty
x laege mein 8 bhara standard, total standard=8x
manle inme se y standard use kia small bharne ke liye, matlab 8x-y standard khali
ab 8y small to sare khali hi honge

so
(11-x)+(8x-y)+8y=102
=>7y+7x=91
=>x+y=13

now try diff. values, u will get 115 in all

2131
In each question below are given two statements followed by two conclusions €“ I
and II. You have to take the given Statements to be true even if they seem to be at variance from commonly known facts
and then decide which of the given conclusions logically follows, from the two statements, disregarding commonly known
facts.

(A) if only conclusion I follows (B) if only conclusion II follows
(C) if either I or II follows (D) if neither I nor II follows

Statements : Some nurses are nuns. Maya is a nun.
Conclusions : I. Some nuns are nurses II. Some nurses are not nuns.
2132
@Brooklyn said:
In each question below are given two statements followed by two conclusions €“ Iand II. You have to take the given Statements to be true even if they seem to be at variance from commonly known factsand then decide which of the given conclusions logically follows, from the two statements, disregarding commonly knownfacts.(A) if only conclusion I follows (B) if only conclusion II follows(C) if either I or II follows (D) if neither I nor II followsStatements : Some nurses are nuns. Maya is a nun.Conclusions : I. Some nuns are nurses II. Some nurses are not nuns.
(D)
2133
@Torque024 said:
(D)
how ??
2134

It can be done by basic syllogism rules, I don't know any of them.
Drawn venn and none follows.

2135
@Torque024 thodi roshni daalo bhai
2136

min and max value of 4^(sinx)+4^(cosx)??

2137
@astute99 said:
min and max value of 4^(sinx)+4^(cosx)??
2^(1-_/2) and 2^(1+_/2)
2138
@catter2011 :check my posted q !! I have doubt in it
2139
@Brooklyn said:
In each question below are given two statements followed by two conclusions €“ Iand II. You have to take the given Statements to be true even if they seem to be at variance from commonly known factsand then decide which of the given conclusions logically follows, from the two statements, disregarding commonly knownfacts.(A) if only conclusion I follows (B) if only conclusion II follows(C) if either I or II follows (D) if neither I nor II followsStatements : Some nurses are nuns. Maya is a nun.Conclusions : I. Some nuns are nurses II. Some nurses are not nuns.
solve dis n tag me plz 😃
2140
@mayankmanu said:
@Torque024 thodi roshni daalo bhai
Statements : Some nurses are nuns. Maya is a nun.Conclusions : I. Some nuns are nurses II. Some nurses are not nuns.

II negative hai aur koi premise -ve nai hai to folow ni hoga. I mai middle term hai so vo bhi follow ni hoga.
Venn se bhi ho rha.