Search found 344 matches


It should be read as What is the remainder when {10^49} +2 is divided by 11 ?

Can it be solved?

by sud21

Sun Sep 20, 2015 7:22 pm
Forum: Problem Solving
Topic: Number properties
Replies: 7
Views: 2014

Algebra

A sporting good store sells one type of baseball bat and one type of baseball. The cost for 2 bats and 4 balls is $160. The cost for 1 bat and 6 balls is $160, as well. If someone were to buy an equal number of bats and balls, at most how many bats can he purchase if he has a budget of $240 for the ...

by sud21

Sun Sep 20, 2015 12:59 pm
Forum: Problem Solving
Topic: Algebra
Replies: 4
Views: 1366

Number properties

What is the remainder when 10^ 49 +2 is divided by 11 ?

1

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3

5

7

by sud21

Sun Sep 20, 2015 12:58 pm
Forum: Problem Solving
Topic: Number properties
Replies: 7
Views: 2014

Number properties

What is the smallest prime factor of 5^8 +10^ 6 –50^ 3 ?

2

3

5

7

11

by sud21

Sun Sep 20, 2015 12:57 pm
Forum: Problem Solving
Topic: Number properties
Replies: 2
Views: 993

Word problems

The afternoon before a popular amusement park opens for the season, Shirley has a pass that will let her ride each ride continuously without waiting in line. For each of the four most popular rides, the ride will run for an allotted time, then stop to change passengers (in negligible time) and start...

by sud21

Sun Sep 20, 2015 12:55 pm
Forum: Problem Solving
Topic: Word problems
Replies: 1
Views: 1037

Probability

A bag contains 15 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf?

2/35

1/15

6/35

13/70

1/5

by sud21

Sun Sep 20, 2015 12:54 pm
Forum: Problem Solving
Topic: Probability
Replies: 2
Views: 1150

Number properties

What is the value of integer x?

(1) The sum of all the unique factors of x is 24.
(2) 10 < x < 20

by sud21

Sat Sep 19, 2015 6:14 am
Forum: Data Sufficiency
Topic: Number properties
Replies: 3
Views: 1253

Statistics

Does Country X have more citizens than Country Y?

(1) 60% of Country X's citizens are also citizens of Country Y.
(2) 30% of Country Y's citizens are not citizens of Country X.

by sud21

Sat Sep 19, 2015 6:13 am
Forum: Data Sufficiency
Topic: Statistics
Replies: 4
Views: 1555

Number properties

What is the value of the positive integer a?

(1) a and (a+1) each have exactly 6 factors.
(2) a < 76

by sud21

Sat Sep 19, 2015 6:12 am
Forum: Data Sufficiency
Topic: Number properties
Replies: 3
Views: 1348

Arithmetic

16 horses can haul a load of lumber in 24 minutes. 12 horses started hauling a load and after 14 minutes, 12 mules joined the horses. Will it take less than a quarter-hour for all of them together to finish hauling the load? 1. Mules work more slowly than horses. 2. 48 mules can haul the same load o...

by sud21

Sat Sep 19, 2015 6:12 am
Forum: Data Sufficiency
Topic: Arithmetic
Replies: 2
Views: 1201

Number properties

In the former Soviet Union, rubles came in denominations of 1, 3, 5, 10, 25, 50, and 100. Boris and Natasha are at the bank to change an enormous pile of 50 and 100 ruble notes, but the teller is out of 10s and is forced to give them their change in nothing but 1, 3, 5, and 25 ruble notes. Did the t...

by sud21

Sat Sep 19, 2015 6:11 am
Forum: Data Sufficiency
Topic: Number properties
Replies: 1
Views: 1086

Odd even

Is ab odd?
1. a is even
2. a is an integer

by sud21

Sat Sep 19, 2015 5:53 am
Forum: Data Sufficiency
Topic: Odd even
Replies: 4
Views: 1618

Odd even

For positive integer n, is the product (n)(n+1)(n+2) divisible by 24?
1. n is even
2. n + 2 = 6

by sud21

Sat Sep 19, 2015 5:52 am
Forum: Data Sufficiency
Topic: Odd even
Replies: 5
Views: 1629

Fractions

Is (a/p ) (p ^2 +r^ 2 +s^ 2 ) = ap+br+cs ?
1.c/s =a/p
2.a/p =b/r

by sud21

Sat Sep 19, 2015 5:52 am
Forum: Data Sufficiency
Topic: Fractions
Replies: 1
Views: 1010

Integers

a, b, and c are three distinct positive integers. What is the product abc?
1. a + b + c = 7
2. ab + bc + ca = 14

by sud21

Sat Sep 19, 2015 5:51 am
Forum: Data Sufficiency
Topic: Integers
Replies: 3
Views: 1499