If x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x = 2i3k5m7p, then i + k + m + p =
A. 4
B. 7
C. 8
D. 11
E. 12
If x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x = 2i3k5m7p, then i + k + m + p =
A. 4
B. 7
C. 8
D. 11
E. 12
hey are i, k, m, p powers of 2,3,5,7 ?.. can't make out the way you typed it ..
if they are indeed powers... ans shud be D
approach: basic prime factoring
hey are i, k, m, p powers of 2,3,5,7 ?.. can't make out the way you typed it ..
if they are indeed powers... ans shud be D
approach: basic prime factoring
thats correct !!! they are powers...
Darth Maul..here comes one more...Sorry if re post.
find the total number of possible numbers between 300-400 such that the sum of the cube of its digits is equal to the number itself.
options
a. 0
b.1
c.2
d.4
I can post the answer with my approach after you guys try...
One More:
Sorry if reposted
Car A & Car B travel around a circular park with an area of 1256 sq. miles. Both cars leave from the same point, Car A travels counter-clockwise at 60 miles/hr. Car B travels 20 min after Car A, travels clockwise at 40 miles/hr. Approx how long does it take for the cars to meet after car A starts? Use 3.14 for Pie.
A. 63 min
B. 75 min
C. 83 min
D. 126 min
E. 188 min
This one is interesting 😃
One more :
Six mobsters have arrived at the theater for the premiere of the film "Goodbuddies." One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the six arrange themselves in line such that Frankie's requirement is satisfied?
A6
B24
C120
D360
E720
U all got it right...
OA - 360
32. A set of numbers has the property that for any number t in the set, t + 2 is in the set. If 1 is in the set, which of the following must also be in the set?
I. 3 II. 1 III. 5
A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III
@deepak
Wats the OA????
35) line l is defined by the equation y 5x = 4 and line w is defined by the equation 10y + 2x + 20 = 0. If line k does not intersect line l, what is the degree measure of the angle formed by line k and line w? (assume that all lines lie in one coordinate plane.)
a) 0
b) 30
c) 60
d) 90
e) it cannot be determined from the information given.
oa - d) 90
Darth Maul..here comes one more...Sorry if re post.
find the total number of possible numbers between 300-400 such that the sum of the cube of its digits is equal to the number itself.
options
a. 0
b.1
c.2
d.4
I can post the answer with my approach after you guys try...
I'll go with C
the first digit is 3 so in the sum of cubes of the digit we have 27
8 and 9 cannot be the digits as their cubes are more than 399 ..for 7 we
can have 370 and 371 satisfying the given condn
for 6 we have only one option i.e 5 to reach 300 but there is no such number
the cubes of 4,3,2,1,0 are two small to combine with to reach the 300 mark
One More:
Sorry if reposted
Car A & Car B travel around a circular park with an area of 1256 sq. miles. Both cars leave from the same point, Car A travels counter-clockwise at 60 miles/hr. Car B travels 20 min after Car A, travels clockwise at 40 miles/hr. Approx how long does it take for the cars to meet after car A starts? Use 3.14 for Pie.
A. 63 min
B. 75 min
C. 83 min
D. 126 min
E. 188 min
This one is interesting :)
Area : 1256 sq mi
Hence 1256 = 3.14*r^2
r = 20mi
Perimeter - 125.6
x/60 = 125-x/40 (the time taken by both is same)
40x = 7500 - 60x
thus time taken 75 min
Ans B - 75
Area : 1256 sq mi
Hence 1256 = 3.14*r^2
r = 20mi
Perimeter - 125.6
x/60 = 125-x/40 (the time taken by both is same)
40x = 7500 - 60x
thus time taken 75 min
Ans B - 75
Thats Wrong :)
Try again... u are almost there... 😁
One More:
Sorry if reposted
Car A & Car B travel around a circular park with an area of 1256 sq. miles. Both cars leave from the same point, Car A travels counter-clockwise at 60 miles/hr. Car B travels 20 min after Car A, travels clockwise at 40 miles/hr. Approx how long does it take for the cars to meet after car A starts? Use 3.14 for Pie.
A. 63 min
B. 75 min
C. 83 min
D. 126 min
E. 188 min
This one is interesting :)
will go with C
r = 20
C = 125.6
distance covered by A in 20 mins = 20 miles.
remaining distance = 105.6
rel vel = 60+40 = 100 mph
time taken = 105.6/100 = 1.056hr ~ 63 min
total time for A 63+20 = 83 mins
@PJ ....good show in GMATPrep man... keep it up ..atb 
Ans 300
In a single digit num, 7 can appear = 1 ways
In a double digit num, 7 can appear = 10(when 7 is the 10s digit) + 9(when 7 is 1s digit, leaving out 0 at 10s place) = 19 ways
Similarly in three digit num = 10*10 + 10*9 + 10*9 = 280.
Total num of ways = 1 + 19 + 280 = 300
Guys... Please post answers with permutations/combinations approach.
How many times will the number 7 be written when listing the integers from 1 to 1000?
1) 110
2) 111
3) 271
4) 300
5) 304
Area : 1256 sq mi
Hence 1256 = 3.14*r^2
r = 20mi
Perimeter - 125.6
A- 20 min for 1st 20 miles
x/60 = 105-x/40 (the time taken by both is same)
40x = 6300 - 60x
x=63
Time taken ->63+20 = 83
Ans : C)83
ohhh nooo.. I missed the fact that carB starts 20 min after A!!
:banghead:
it'll be C. 83
ohhh nooo.. I missed the fact that carB starts 20 min after A!!
:banghead:
it'll be C. 83
But surely now onwards u wont miss this.
pagalguy helps.see.
Ans 300
In a single digit num, 7 can appear = 1 ways
In a double digit num, 7 can appear = 10(when 7 is the 10s digit) + 9(when 7 is 1s digit, leaving out 0 at 10s place) = 19 ways
Similarly in three digit num = 10*10 + 10*9 + 10*9 = 280.
Total num of ways = 1 + 19 + 280 = 300
Similarly in three digit num = 10*10 + 10*9 + 10*9 = 280.
Hey Bizzare can you plz elaborate on this part?
Similarly in three digit num = 10*10 + 10*9 + 10*9 = 280.
Hey Bizzare can you plz elaborate on this part?
sid
take chunks of 100 till 1000 which will be 10 in number multiply each by the no. of sevens occuring in them.
If x is a positive integer and y is a non-negative integer such that (2066)^y is a divisor of 3176793, what is the value of y^x - x^y ?
A) -81
B) -1
C) 0
D) 81
E) 1
y =0 and x is a positive integer.So the value of the expr becomes -1.