4th Sem Model

There is a set of 30 numbers. The average of the first 10 numbers is equal to the average of last 20 numbers. What is the sum of last 20 numbers? 

• Twice the sum of the first ten numbers

• Sum of first 10 numbers. 

• Twice the sum of the last ten numbers

• Cannot be determined

30 liters of 78% of a concentrated acid solution is to be prepared. How many litres of 90% concentrated acid needs to be mixed with 75% solution of concentrated acid to get the result? 

• 10 

• 6 

• 3 

• 4 

Find the total number of factors & sum of all factors of 1800 ?

• 36 , 3045

• 36 , 4045

• 36 , 6045

• 30 , 1045

Find the unit digit of the expression?

32³² + 33³³ + 34³⁴ + 35³⁵

• 1

• 0

• 5

• 9

A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is

• 698

• 690

• 454

• 1669

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

• 4 days

• 5 days

• 6 days

• 7 days

How many zeros at the end of 1000! ?

• 349

• 248

• 249

• 252

A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.

• 2 hours

• 3 hours

• 4 hours

• 5 hours

What is the remainder when 1! + 2! + 3! + …. + 100! is divided by 5 ?

• 0

• 1

• 2

• 3

• 4

The chart given below is amount of work done by 6 worker. If B and C together can do work in 60 days, how much time would E and F together complete 60% of the same work

• 25 days

• 22.4 days

• 18.5 days

• none of these