BCA Prep (Summer Edition) - Chapter 1
What is the largest two-digit prime number whose digits are also each prime?
73
Find the smallest composite number not divisible by 2.
9
3/2 + 5/4 + 9/8 + 17/16 + 33/32 + 65/64 - 7 = ? A -1/64, B -1/16, C 0, D 1/16, E 1/64
A -1/64
What is the smallest prime number dividing the sum 3^11 + 5^13? A 2, B 3, C 5, D 3^11 +5 ^13, E none of these
A 2
Which of the following is/are divisible by 11? a. 495 b. 9835 c. 14,806 d. 918,291
A and C
Which of the following are prime? a. 181 b. 287 c. 391 d. 503
A and D
Find the smallest composite number not divisible by any of 2, 3, or 5.
49
What is the smallest 4-digit number that is divisible by 2, 3, 4, 5, 6, 8, 9, and 10?
1,080
What is the largest prime number less than 200, none of whose digits are composite?
173
What is the smallest prime divisor of 5^23 + 7^17?
2
Which digit could fill in the blank to make the five digit number 89__43 divisible by 11?
2
Which of the following are the factors of 123,456,780? 2, 3, 4, 5, 6, 8, 9, 10
2, 3, 4, 5, 6, 9, 10
Which of the following are the factors of 3,435,864? 2, 3, 4, 5, 6, 8,9, 10
2, 3, 4, 6, 8
Find the smallest composite number divisible by neither 2 nor 3.
25
Four boys bought a boat for $60. The first boy paid one half of the sum of the amounts paid by the other boys; the second boy paid one third of the sum of the amounts paid by the other boys; and the third boy paid one fourth of the sum of the amounts paid by the other boys. How much did the fourth boy pay? A $10, B $12, C $13, D $14, E $15
C $13
The largest whole number such that seven times the number is less than 100 is? A 12, B 13, C 14, D 15, E 16
C 14
The sum of the first eighty positive odd integers subtracted from the sum of the first eighty even integers is ? A 0, B 20, C 40, D 60, E 80
E 80
How many prime numbers are perfect cubes?(an example of a perfect cube is 8 =23)
None
How many even natural numbers are prime?
The answer is 1. The number is 2.
A group of 25 pennies is arranged into three piles such that each pile contains a different prime number of pennies. What is the greatest number of pennies possible in any of the three piles?
Two options: 17 + 3 + 5 19 + 3 +3
(challenge) Let N be a number created by repeating any two identical three-digit strings. That is, N= ABCABC. For example, 123123, 023023, and 400400 are in the form. Is it true of false that every such N is divisible by 13? If true, please explain. If not, provide a counter-example.
x
(challenge) Without performing any division, decide if 192,837,465,564,738,291 is divisible by 11. Explain why or why not.
x
Find the remainder when 1,234,567 is divided by 11?
x
How many 3-digit multiples of 11 end in a 2?
x
The number 13 is prime. If you reverse the digits you also obtain a prime number, 31. What is the larger of the pair of primes that satisfies this condition and has a sum of 110?
x
