The sum of 5 consecutive even numbers is 70. What is the product of the first and the last number?
160
170
180
190
Let the 5 consecutive even numbers be x, x+2, x+4, x+6 and x+8.
Given, x + (x+2) + (x+4) + (x+6) + (x+8) = 70
Or, x = 10
So, first number = x = 10
And the last number = x+8 = 18
Product = 10x18 = 180
Find the unit digit in (987)754
6
7
8
9
(987)754
Consider only the unit digit
= (7)754
= (74)188 x (7)2
= (2401)188 x 49
= (1)188 x 9
= 9
Find the unit digit in the product of 123x456x789.
1
2
3
4
123x456x789
= 3x6x9 (taking only the unit digit)
= 162
= 2 (Unit digit)
On Salman's birthday Aamir gifted a golden box that was locked with a secret password. Salman can only open the box if he enters the correct password. Aamir loves to play with numbers so he locked the box with a natural number and wrote a riddle on a piece of paper and gifted it along with the golden box. Salman being busy that day asked you to solve the riddle and unlock the box for him.
Riddle: If 1/4 of a number is subtracted from the number itself, it will give a value which is equal to the sum of all the angles of the Bermuda Triangle.
210
220
230
240
Sum of all the angles of a triangle = 180
Let the required number be P.
As per the riddle, P - 1/4P = 180
Or, P = 240
Sum of first 10 natural numbers is?
55
100
45
10
n = 10
Sum = n(n+1)/2 = 55
What is the product of 3rd natural, 2nd prime, 1st whole number?
0
Infinite
3rd natural number = 3
2nd prime number = 3
1st whole number = 0
Product = 3x3x0 = 0
What is the sum of 1st and 2nd prime numbers?
5
1st prime number = 2
Sum = 2+3 = 5
Find the sum of place and face value of 6 in 654321?
600006
600000
66
12
Place value of 6 = 6x100000 = 600000
Face value of 6 = 6
Sum of Place and Face value = 600000 + 6 = 600006
Find the sum of face value of 6 and 9 in 9876?
15
150
96
906
6+9=15
What is the place value of 9 in 9876543210?
9x109
9x106
9x103
Place value of 9 = 9x1000000000 = 9x109
What is the place value of 1 in 123?
1000
1 is at the hundredth place so, it's place value is 1x100 = 100.
What is the face value of 1 in 123?
Face value is equal to the digit itself.
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