Question 1

64/12 in simplest form?

Accepted Answer

64/12 = 16/3 in simplest form.

Question 2

56/32 simplified value?

Accepted Answer

56/32 can be reduced as 56/32 = 28/16 = 14/8 = 7/4 = 1 3/4 = 1.75 Hence, simplified value of 56/32 = 3/4 = 1.75.

Question 3

Along a yard 225 metres long, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees

Accepted Answer

26 trees have 25 gaps between them, Required distance (225/25) = 9

Question 4

A class consists of both boys and girls along with a teacher. After a class, the teacher drinks 9 litres of water, a boy drinks 7 litres of water and a girl drinks 4 litres of water. If after a class 42 litres of water was consumed, find the number …

Accepted Answer

Given teacher drinks 9 ltr Let number of boys be 'A'. Let number of girls be 'B'. Boy drinks 7 ltr and girl drinks 4 ltr After class total water consumed = 42 ltr Then, 9 + 7A + 4B = 42 => 7A + 4B = 33 By trial and error method, The only integers which satisfy the equation is A = 3 and B = 3 Therefore, number of girls in the class = 3.

Question 5

A man has only 20-paise and 25-paise coins in a bag. If he has 50 coins in all totaling to Rs.10.25, then the number of 20-paise coins is

Accepted Answer

Let number of 20 ps coins = x and number of 25 ps coins = y Given total coins in the bag = 50 x + y = 50.......(1) But the total money in the bag = Rs. 10.25 0.20x + 0.25y = 10.25 20x + 25y = 1025.........(2) Now multiplying (1) by 25 we get 25x+25y=1250.............(3) By solving (2) and (3) 20x + 25y = 1025; => x = 45; Then, the no. of 20 ps coins are 45.

Question 6

Simplify the following equation 55.55 + 155 + 15.55 + 0.5 + 0.05 = ?

Accepted Answer

55.55 + 155 + 15.55 + 0.5 + 0.05 = ? 55.55 155.00 15.55 0.5 0.05 _______ 226.65 _______ Hence, the value of the given equation 55.55 + 155 + 15.55 + 0.5 + 0.05 = 226.65.

Question 7

[15% of 300% of 560] × 2 ÷ 5 =

Accepted Answer

[15% of 300% of 560] × 2 ÷ 5 = (15 x 300 x 560 x 2)/100 x 100 x 5 ~= 100

Question 8

Water boils at 212°F or 100°C and melts at 32°F or 0°C . If the temparature of the particular day is 35°C , it is equal to :

Accepted Answer

Let F and C denotes the temparature in Fahrenheit anid Celcsius respectively. Then, (F - 32) /(212 - 32) = (C - 0)/(100 - 0), if c = 35, then F = 95.

Question 9

Simplyfiy : 314÷114-12212-14+16

Accepted Answer

Given exp = 13 4 ÷ 5 4 - 1 2 5 2 - 3 - 2 12 = 13 4 ÷ 5 4 - 1 2 5 2 - 1 12 = 13 4 ÷ 5 4 - 1 2 30 - 1 12 = 13 4 ÷ 5 4 - 29 24 = 13 4 ÷ 30 - 29 24 =78

Question 10

2660 of 17 of 12 of 19.5 of 12 = ?

Accepted Answer

1 7 x 1 2 x 1 9 . 5 x 1 2 x 2660 = 2660 266 = 10

Question 11

78 of 448 + 67 of 3374 = ?

Accepted Answer

7 8 x 448 + 6 7 x 3374 = > 392 + 2892 = > 3284

Question 12

1422 ÷ 1260.25 = ?

Accepted Answer

142 x 142 x 1 1260 . 25 => 142 x 142 x 1 35 . 5 = 568

Question 13

Simplify the following expression? 40% of ( 244 x ? ) = 48

Accepted Answer

We know that 40 % = 40 100 = 2 5 ⇒ 2 5 x 24 4 x ? = 48 ? = 48 x 5 x 4 2 x 24 = 20

Question 14

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

Accepted Answer

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)

Question 15

In a party there are male and female members. If 15 female quit then the number of females will become double the number of males. If 45 males quit no. of female becomes five times the number of males. Find the number of females ?

Accepted Answer

Let the number of males be 'M' Let the number of females be 'F' From the given conditions, (F-15)=2M.....(i) F=5(M-45).....(ii) By solving the equations (1) & (2) we get M = 80 Then substitute M = 80 in (1) F = 2M + 15 F = 2 x 80 + 15 => F = 175 Therefore, number of males = 80 and females = 175 in the party.

Question 16

The average temperature of Monday to Wednesday was 37 C and of Tuesday to Thursday was 34 C. If the temperature on Thursday was 4/5 th of that of Monday, the temperature on Thursday was ?

Accepted Answer

Monday + Tuesday + Wednesday = 37 x 3 -----------(1) Tuesday + Wednesday + Thursday = 34 x 3---------(2) Thursday = 4/5 of Monday ------------------(3) subtract eqn (1) from (2) we get, Thursday - Monday = -9 => Monday - Thursday = 9.......(4) From (3) & (4), we get So,Thursday = 36 C

Question 17

5 + 2 x 10 =

Accepted Answer

According to BODMAS rule, After multiplication only, addition is done. Hence, 5 + 2 x 10 = 5 + 20 = 25.

Simplification Questions