# Numbers Questions

Q:

Find the unit digit of 4198 + 612345 + 34866 + 2411 + 1.

 A) 3 B) 2 C) 1 D) 0

Explanation:

Given that, $4198+612345+34866+2411+1$

Now Power Cycle of

4 is 4, 6

6 is 6

8 is 8, 4, 2, 6

1 is 1

$4198$- 198 is even number , So the unit digit value is 6

$612345$ - It is always 6

$34866$-  66/4 the remainder is 2 , So the second value is 4

$2411$- 11 is odd number, So the unit digit value is 4

1 - It is always 1

Total = 21

Therefore, The unit digit is 1

Filed Under: Numbers - Quantitative Aptitude - Arithmetic Ability
Exam Prep: CAT
Job Role: Bank PO

16 11607
Q:

Which natural number is nearest to 8485, which is completely divisible by 75 ?

 A) 8475 B) 8500 C) 8550 D) 8525

Explanation:

On dividing we get

75)8485(113
75
------
98
75
------
235
225
------
10
------
Required number = (8485-10)=8475.

14 11346
Q:

How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together ?

 A) 7 B) 9 C) 11 D) 5

Explanation:

LCM of 2, 3, 7 is 42.

=> (700 – 300)/42 = 9  22/42 => 9 Numbers.

21 10770
Q:

If V = 12R / (r + R) , then R =

 A) Vr / (12 - V) B) Vr + (V /12 ) C) V D) V / (r - 12 )

Explanation:

We have to rearrange the equation to make R the subject.

Start by cross multiplying by (r + R); V (r + R) = 12R

Multiply out the bracket Vr + VR = 12R

9 10517
Q:

If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x+y is equal to  ?

 A) 5 B) 4 C) 3 D) 2

Explanation:

Since 653xy is divisible by 5 as well as 2, so y = 0.
Now, 653x0 must be divisible by 8.
So, 3x0 must be divisible by 8. This happens when x = 2
x + y = (2 + 0) = 2.

15 10342
Q:

The sum of first 45 natural numbers is:

The sum of n natural numbers $\inline \frac{n(n+1)}{2}=\frac{45\times 46}{2}=1035$

10332
Q:

A piece of ribbon 4 yards long is used to make bows requiring 15 inches of ribbon for each. What is the maximum number of bows that can be made?

 A) 8 B) 9 C) 10 D) 11

Explanation:

The maximum number of bows will be 4 yards (= 4 x 36 inches) divided by 15 inches.

This gives 9.6. But as a fraction of a bow is no use, we can only make 9 bows.

17 10306
Q:

What will come in place of the question mark (?) in the following questions ?

22% of ? + 166.64 = 340

 A) 788 B) 786 C) 784 D) 792