5
Q:

# An owner of a Dry fruits shop sold small packets of mixed nuts for Rs. 150 each and large packets for Rs. 250 each. One day he sold 5000 packets, for a total of Rs. 10.50 lakh. How many small packets were sold ?

 A) 2000 B) 3000 C) 2500 D) 3500

Explanation:

Let 's' be the number of small packets and 'b' the number of large packets sold on that day.

Therefore, s + b = 5000 ... eqn (1)

Each small packet was sold for Rs.150.
Therefore, 's' small packets would have fetched Rs.150s.

Each large packets was sold for Rs.250.
Therefore, 'b' large packets would have fetched Rs.250b.

Total value of sale = 150s + 250b = Rs. 10.5 Lakhs (Given)

Or 150s + 250b = 10,50,000 ... eqn (2)

Multiplying equation (1) by 150, we get 150s + 150b = 7,50,000 ... eqn (3)

Subtracting eqn (3) from eqn (2), we get 100b = 3,00,000
Or b = 3000

We know that s + b = 5000
So, s = 5000 - b = 5000 - 3000 = 2000.

2000 small packets were sold.

Q:

5 + 2 x 10 =

 A) 70 B) 20 C) 25 D) 52

Explanation:

According to BODMAS rule,

After multiplication only, addition is done.

Hence,

5 + 2 x 10 = 5 + 20 = 25.

0 31
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 - ?

0 316
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)

2 345
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.

4 502
Q:

Simplify the following :

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

Explanation:

Given equation can be written as

0 414
Q:

Simplify the following expression?

40% of () = 48

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

Explanation:

We know that

1 410
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.

2 430
Q:

Simplify the following and find the value of ?

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