5
Q:

# The average number of visitors of a library in the first 4 days of a week was 58. The average for the 2nd, 3rd, 4th and 5th days was 60.If the number of visitors on the 1st and 5th days were in the ratio 8 : 9. Then what is the number of visitors on the 5th day of the library ?

 A) 54 B) 64 C) 68 D) 72

Explanation:

If number of visitors on 1st, 2nd, 3rd, 4th & 5th day are k, l, m, n & o respectively, then
k + l + m + n = 58 x 4 = 232 ---- (i) &
l + m + n + o = 60 x 4 = 240 ---- (ii)
Subtracting (i) from (ii), we get
o-k = 8 ---(iii)
Given, k/o = 8/9 ----(iv)
So from (iii) & (iv), we get
a = 64, e = 72
Therefore, number of visitors on 5th day is 72.

Q:

Simplify

39.96% of 649.85 $\mathbf{÷}$13.07 = 45.14 - ?

 A) 25 B) 26 C) 27 D) 28

Explanation:

This can be easily simplified by Approximation process

Given 39.96% of 649.85 $÷$13.07 = 45.14 - ? can be written as

40% of 650 $÷$13 = 45 - ?

0 240
Q:

Simplify the fraction?

5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17)

 A) -4 (1/17) B) 5 (2/17) C) -2 (1/17) D) 3 (3/17)

Explanation:

Given fraction is 5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17)

It can be written as

(5 - 3 - 2 - 1) + (2/7 - 1/14 - 1/14 - 1/7) = ? +  3 (1/17)

-1 + 0 - 3 (1/17) = ?

=> ? = -4 (1/17)

2 279
Q:

5 + 2 x 10/2 = ?

 A) 15 B) 35 C) 10 D) 20

Explanation:

Using BODMAS Rule,

First solve division, mutiplication and Addition

So here 10/2 = 5

Then 2 x 5 =  10

Now, 5 + 10 = 15.

Hence, 5 + 2 x 10/2 = 15.

4 471
Q:

Simplify the following :

 A) 10 B) 24 C) 36 D) 40

Explanation:

Given equation can be written as

0 380
Q:

Simplify the following expression?

40% of () = 48

 A) 24 B) 22 C) 20 D) 18

Explanation:

We know that

1 373
Q:

Derivative of sinx by first principle?

 A) -sinx B) -cosx C) cosx D) sinx

Explanation:

Thus, the derivative of sinx by first principle is cosx.

2 403
Q:

Simplify the following and find the value of ?

 A) 1134 B) 1237 C) 1187 D) 1249

Explanation:

5 996
Q:

Simplify

 A) 10 47/60 B) 11 45/73 C) 11 47/36 D) 10 35/48