Convert 69₁₀ to a number in base two

Which of the following fractions is less than one quarter?

The number 635_eight,
converted to base five is

A number of chocolates were shared out among three children Kafeel, Tara and Kameel in the ratio 2:3:4 respectively.

If Kameel got 8, how many sweets were shared out?

If I is the set of positive integers and
P = {x : x ∈ I, x² < 10 and x ≠ 0}, then

A sum of N420 is shared among three children in the ratio 6 : 7 : 8.
The largest share is

The simple interest rate per annum at which a sum of N10,000 accumulates to N12,400 in three years is

In a certain class, 37 students take at least one of Chemistry, Economics and History.
8 students take Chemistry, 19 take Economics and 25 take History.
12 students take Economics and History but nobody takes Chemistry and Economics .
How many students take both Chemistry and History?

If 101010₂ =  x₁₀ + 1111_2,
the value of x is

The ratio of the price of a tin of milk to that of a packet of sugar is m : p.
If the price of milk now goes up by 25% while that of sugar goes up by 15%,
the new ratio of the prices is

A man bought a wrist watch for $750.00 and re-sold it for $600.00.
His percentage loss was?

If R = {2, 4, 6, 7} and S = {1, 2, 4, 8}
find R∪S

The smallest length of a rod which can be cut into exactly equal sections, each of either 30cm or 36cm in length  is

The universal set U contains all integers.
Subsets of U are defined as
P = {x : x ≤ 3}
Q = {x : -5 < x < 12}
R = {x : -2 ≤ x < 5}
P ∩ (Q ∪ R)' is

The lowest common multiple of the prime numbers between 1 and 10 is

The number 110101₂ converted to base ten equals to

Solve for x
if
(5x)₇ = 37₁₀

Solve for y in the following equation given in base two:
 
 11(y + 101) = 1000y

If (1Y14)₅ = 184₁₀,
the value of Y is

Given that P = {1, 3, 4} and
Q = {2, 3, 4},
then P∩Q is

A sum of money invested at 6% per annum simple interest increased to £14,750 after 3 years.
The sum was?

If 45% of the Nigerian naira (N) is equal to 35% of a foreign currency $,
the conversion rate of $ to N is $1 =

The sum of the prime numbers between 40 and 50, divided by the sum of the prime numbers between 1 and 6 is

If 14_twelve = y_eight,
the value of y is

The baking recipe for a piece of brownie cake is given as 1.5 cups of sugar and 3.5 cups of flour.
If a cake is baked, based on this recipe with a total of 40 cups of sugar and flour, the number of cups of sugar used is