6
Q:

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

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

Explanation:

Given that, ${4}^{198}+{6}^{12345}+{348}^{66}+{24}^{11}+1$

Now Power Cycle of

4 is 4, 6

6 is 6

8 is 8, 4, 2, 6

1 is 1

${4}^{198}$- 198 is even number , So the unit digit value is 6

${6}^{12345}$ - It is always 6

${348}^{66}$-  66/4 the remainder is 2 , So the second value is 4

${24}^{11}$- 11 is odd number, So the unit digit value is 4

1 - It is always 1

Total = 21

Therefore, The unit digit is 1

Q:

What are the Multiples of 4?

The Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 upto 40. Mutiples of 4 means which can be divided by 4 leaving remainder '0'.

Common Multiples of 4 & 6 are 12, 24, 36, 48, 60 upto 60.

377
Q:

The sum of three consecutive odd numbers is 93. What is the middle number?

 A) 31 B) 33 C) 29 D) 27

Explanation:

Let the three consecutive odd numbers be x, x+2, x+4

Then,

x + x + 2 + x + 4 = 93

=> 3x + 6 = 93

=> 3x = 87

=> x = 29 => 29, 31, 33 are three consecutive odd numbers.

Therefore, the middle number is 31.

6 783
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.

13 2226
Q:

In a triangle ABC, angle 'a' is the smallest one & A+7B = 112. Find the range of value 'c' ?

 A) 138 to 164 B) 125 to 147 C) 148 to 158 D) 152 to 164

Explanation:

A+7B=112

it is clear that A = 14, then it becomes A>=B, but A is smallest angle) given
so, range of A is 0.0001 to 13.9999 ( I am taking upto 4 decimal places)
so, range of B becomes 14 to 16 ( after rounding off to 4 decimal places)
so, range of C becomes 152 to 164 ( after rounding off to 4 decimal places)

6 2238
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

Explanation:

(kx22)/100 = 340 - 166.64 = 173.36
k = (173.36 x 100)/22
k = 788

7 2001
Q:

The sum of the digits of a two-digits number is 10,while when the digits are reversed, the number decreases by 54. Find the changed number ?

 A) 28 B) 19 C) 37 D) 46

Explanation:

Let the original number is 82 i.e 8 + 2 = 10 and when the digits are reversed i.e 28
The difference is 82 - 28 = 54 i.e, the number is decreased by 54.

5 1668
Q:

About 4 out of 5 students are left handed. If there are totally 40 students in an class. How many would be left handed ?

 A) 40 B) 45 C) 32 D) 30

Explanation:

Probability of left handed = 4/5
total student = 40
total left handed = 40 x(4/5)
= 32

6 1432
Q:

If 1/a+1/b+1/c = 1/(a+b+c) where a+b+c not equals '0', abc not equals '0', What is the value of (a+b) (b+c) (a+c) ?

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