Find the next two numbers in the series.
3, 8 , 13 , 17 , 21 , 24 , 27 , _, _ ,...................
Answer
3 , 8 , 13 , 17 , 21 , 24 , 27 , _ , _ ,...................
+5 +5 +4 +4 +3 +3 +2 +2
Next two numbers 27+2=29
29+2=31
3, 8 , 13 , 17 , 21 , 24 , 27 , 29, 31,...................
If "be ready" can be encrypted as "yv ivzwb" what would be the encrypted text of the text "on the way"?
Answer
be ready = > yv ivzwb
b => y e => v r =>i d => w y => b
Can you recognize the reverse order matching of letters there? I mean a => z b = > y c => x d => w
a b c d e f g h i j k l m n o p q r s t
z y x w v u t s r q p o n m l k j i h g
u v w x y z
f e d c b a
Now
on the way => lm gsv dzb
Find the missing number.
Answer
It might look complex. But the idea is very simple. The middle column contains the sum of other two column values.
13= 5+8
18=6+12
23=9+?
Missing number- 14
Find the odd man out.
A , D , E , H , K
1. A 2. E 3. H 4.K
Answer
Except
the letter "H" all other letters have only one line of symmetry (I mean
the shape of the letter). H has 2 lines of symmetry.
Lines of Symmetry | Symmetry in Different Figures | List of Examples
So the odd man is "H".
Find the odd man out.
2, 3 , 7 , 17 , 27
1. 2 2. 3 3. 17 4. 27
Answer
My idea was to have a non-prime number and all others are prime numbers. The odd value is 27.
Prime number Prime number - Wikipedia, the free encyclopedia
But
there is another way of finding the odd value. Except 2, all others are
odd numbers. So here the odd man is the even number 2.
Find the next two numbers in the series.
122, 284 , 3186 , 4328 , _ , _ , ...................
Answer
1 2 2 = > 1 1* 2 =2 1 * 2 = 2
2 8 4 = > 2 2* 2 = 4 4 * 2 = 8
3 1 8 6 = >3 3* 2 =6 3 * 6= 18
4 3 2 8 = >4 4* 2 =8 4 * 8= 32
Next two numbers
5 ____ 10 = >5 5* 2 =10 5 * 10= 50 55010
6 ____ 12 = >6 6* 2 =12 6 * 12= 72 67212
122, 284 , 3186 , 4328 , 55010 , 67212 , ...................
There is a competition held
for school students where each team of 20 students are given 66 balls.
They need to arrange the marbles in a triangle shape. Something like
this.
Each student in a team can
fill only one row. They have to decide the number of students needed to
complete the shape with the given no of marbles(which is 66),
beforehand. Can you help them find out how many students (out of 20)
need to take part in the game to win it?
Answer
The idea here is quite simple. We need to arrange the balls in triangle shape. Have you heard about triangular number series?
Tn (n th triangular number) = [ n* (n+1)] /2
1st triangular number - (1* 2)/2 = 1
2nd triangular number - (2*3)/2 = 3
3rd triangular number - (3*4)/2 = 6
4th triangular number - (4* 5)/2 = 10
5th triangular number - (5* 6)/2 = 15
1 , 3 , 6 , 10 , 15 ,......................................................
So, the value of n in Tn will be numbers of rows in the triangular shape.
i.e : 1st triangular number will have 1 row , 2nd will have 2 rows, 3rd will have 3 rows....likewise....
To arrange the balls in a triangle shape we need to find n where Tn=66
I think the easiest way is to make a rough guess and find it out.
or find all the triangular numbers till you come to 66.
In that way 1 , 3 , 5 , 10 , 15 , 21 , 28 , 36 , 45, 55 , 66 ,.......................
66 comes as the 11th number in the series.
11th triangular number means there are 11 rows so we need 11 students.
