M4maths Previous Puzzles

05 Aug 2010 find the difference?

The sum of 2 numbers is 24 and their product is 143. Difference of the numbers is?

OPtion

1) 2
2) 3
3) 4
4) 5
5) 6
6) 7
7) 8
8) 9
9) 10
10) 1

Solution

Answer: x + y =24, x.y = 143
Take y = 24 – x in the second condition we get
x. (24-x) = 143
24.x – x2 = 143
x2 – 24.x +143 = 0
x = 11,13

Correct Option: 1 Best Solution (20)

04 Aug 2010 Sum of all possible value?

If 6x+1 =n, then sum of all possible values of n between 2 and 30 for which x is an integer is?

OPtion

1) 78
2) 65
3) 68
4) 72
5) 75
6) 59
7) 60
8) 61
9) 64
10) 80

Solution

x = (n-1)/6, possible values of n are 7, 13, 19, 25
Sum = 64

Correct Option: 9 Best Solution (14)

03 Aug 2010 what will be the next number?

22, 26, 34, 41, 46, 56, 67, ?

OPtion

1) 70
2) 76
3) 80
4) 81
5) 82
6) 83
7) 86
8) 90
9) 73
10) 79

Solution

22 -> 4 (4 is sum of digit)
22+4 = 26 (8 is sum of digit)
26+8 = 34
34+7 = 41
41+5 = 46
46+10 = 56
56+11 = 67
67+13 = 80

Correct Option: 3 Best Solution (13)

02 Aug 2010 Find the integer

The product of an integer and its successive integer is half of a number 4 more than the number formed by
these two integers taken in increasing order. Sum of the two integers is equal to

OPtion

1) 15
2) 12
3) 13
4) 14
5) 11
6) 16
7) 17
8) 10
9) 9
10) 8

Solution

According to the given condition
x. (x+1) = [{10x + (x+1)}+4]/2
=> x2 +x = (11x +5)/2
=> 2x2 +2x = 11x +5
=> 2x2 -9x -5 = 0
=> x = 5, -1/2
Therefore the integers are 5 and 6
You can also check the options

Correct Option: 5 Best Solution (7)

30 Jul 2010 Find the operators?

16 A 2 B 15 A 3 C 2 D 5 = 3
A, B, C, D operations are

OPtion

1) ÷ + - ×
2) ÷ - × +
3) + ÷ - ×
4) ÷ + × -
5) - × ÷ +
6) × ÷ + -
7) + - ÷ ×
8) - × + ÷
9) × ÷ - +
10) × + - ÷

Solution

16 ÷ 2 + 15 ÷ 3 - 2 × 5
= 8 + 5 – 10 = 3

Correct Option: 1 Best Solution (4)

29 Jul 2010 Sum of numbers?

An integer is added to its half. The number formed is added to its half. Final number formed is equal to 9.
Sum of the final formed number and original integer is

OPtion

1) 12
2) 13
3) 11
4) 10
5) 9
6) 14
7) 15
8) 16
9) 17
10) 18

Solution

{x + (x/2)} + [{x + (x/2)}/2] = 9
x + (x/2) + (x/2) + (x/4) = 9
9x/4 = 9
x = 4
Hence sum of final formed number and original integer is 9+4 = 13

Correct Option: 2 Best Solution (7)

28 Jul 2010 Find the value

If 1^2 +2^2 +3^2+.....100^2 = X
And 1^2+2^2+3^2+........50^2 = Y
Then 1^2-2^2+3^2-4^2+......+99^2-100^2 = ?

OPtion

1) X-3Y
2) X-6Y
3) 4X-8Y
4) X-2Y
5) X-Y
6) 2X-Y
7) X-4Y
8) X-8Y
9) 3X-4Y
10) 4X-3Y

Solution

1^2-2^2+3^2-4^2+........+99^2-100^2
= (1^2 +2^2 +3^2+.....100^2)-2(2^2+4^2+6^2+8^2+……….+100^2)
= (1^2 +2^2 +3^2+.....100^2)-2.2^2(1^2+2^2+3^2+4^2+……….+50^2)
= X – 8 Y

Correct Option: 8 Best Solution (10)

27 Jul 2010 Find the next?

A, C, F, K, S, E, V, ?.



? IS?

OPtion

1) B
2) M
3) S
4) Y
5) K
6) U
7) G
8) N
9) O
10) R

Solution

A, C, F, K, S, E, V, ?
1 2 4 7 11 16 22
1 2 3 4 5 6

Correct Option: 3 Best Solution (8)

26 Jul 2010 sq. root of 216?

If sq. root of 2 = 1.41 and sq. root of 3 = 1.73
Then value of sq. root of 216 is

OPtion

1) 14.6358
2) 14.6357
3) 14.6346
4) 14.6366
5) 14.6356
6) 14.6360
7) 14.6354
8) 14.6362
9) 14.6352
10) 14.6338

Solution

sq. root of 216 = 6 * sq. root of 2 * sq. root of 3
= 14.6358

Correct Option: 1 Best Solution (15)

23 Jul 2010 Find the velocity?

The distance between the position of Ram and Shyam is 100 km. If velocity of Ram towards Shyam is 40 km/hrs,
then for what velocity of Shyam along Ram they will meet after 1 hr and 15 min.

OPtion

1) 40
2) 45
3) 38
4) 50
5) 36
6) 56
7) 60
8) 66
9) 58
10) 62

Solution

Velocity = 100/ (5/4) = 400/5 = 80
Velocity of Ram = 40 km/hrs
Hence that of Shyam = 80 – 40 = 40

Correct Option: 1 Best Solution (8)