# 40+ Important Simplification Questions With Easy Tricks

## 40+ Important Simplification Questions With Easy Tricks

Hello Students,

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### Math Topics

1. बीजगणित (Algebra )
2. अनुपात और समानुपात (Ratio and Proportion )
3. औसत (Average)
4. प्रतिशत (Percentage )
5. लाभ और हानि (Profit and Loss)
6. साधारण ब्याज (Simple Interest)
7. चक्रवृद्धि ब्याज (Compound Interest)
8. त्रिभुज (Triangle)
9. आयत (Rectangle)
10. वर्ग (Square)
11. घन (Cube)
12. बेलन (Cylinder)
13. शंकु (Cone)
15. बहुभुज (Polygon)
16. वृत और अर्द्धवृत (Circle and Semicircle)
17. त्रिज्याखंड एवं वृत्तखंड (Sector and Segment)
18. गोला (Sphere)

If 3x + 7y=75, 5x- 5y= 25, then the value of (x +y)=?

(A) 17

(B) 16

(C) 18

(D) 15

Q :  2x + 4y – 8xy -1 =?

(A) ( 1 + 4y) (2x – 1 )

(B) (1 – 4y) (2x – 1 )

(C) ( 1 – 4y ) (2x +1)

(D) None of these

Q :  Solve the following equation 24 + 4 ÷ 4

(A) 28

(B) 6

(C) 25

(D) 7

Q :  The value of 24 ÷ 4 ×(3 +3) ÷2 is:

(A) 22

(B) 24

(C) 20

(D) 18

Q :  23+ 3+33+333+3.33=?

(A) 395.33

(B) 372.33

(C) 702

(D) 702.33

Q :  What is the value of X ?, if 7580 – X = 3440

(A) 4150

(B) 5140

(C) 4130

(D) 4140

Q :  In a garden of 42 trees, 3/7 of them are Neem trees and the rest are Mango trees. Find the number of Mango trees.

(A) 16

(B) 24

(C) 20

(D) 18

Q :  If 551 ÷ 29 = 19 then 5.51 ÷ 0.0019 = ?

(A) 2.9

(B) 290

(C) 2900

(D) 0.29

Q :  What is the value of

(A)

(B) 3.05

(C)

(D) 3.555

#### Simplification Question

Q :  If  then what does x equal to ?

(A) 11

(B) 12

(C) 13

(D) 14

(A) tan θ

(B) cot θ

(C) sec θ

(D) cosec θ

Q :  The weight of a bucket full of water is 36 kg. If the weight of a half-filled bucket is 21 kg, what will be the weight of the empty bucket?

(A) 10 kg

(B) 8 kg

(C) 6 kg

(D) 12 kg

Q :  In a group of 15 women, 7 have nose studs, 8 have ear rings and 3 have neither. How many of these have both nose studs and ear rings?

(A) 0

(B) 2

(C) 7

(D) 3

Q :  If 2x + 3y – 5z = 18 , 3x + 2y + z = 29 and x + y + 3z = 17 , then what is the value of xy + yz + zx ?

(A) 32

(B) 46

(C) 64

(D) 52

Q :  What is the value of

(A) 1

(B)

(C)

(D) -1

Q :  The value of

(A) 15

(B) 1.5

(C) 0.9

(D) 9

Q :  What is the value of x

(A) 0.9

(B) 0.09

(C) 9

(D) 0.0009

Q :  What will be the total number of pieces if the length of

the rib is cut to 3/4 m length?

(A) 3

(B) 5

(C) 6

(D) 7

Q :  3×2 = 36 then what is the value of x?

(A)

(B) 3

(C)

(D)  or

Q :  The price of one eraser is Rs. 3. The value of 20 eraser is equal to the value of three Pens. The value of one pen is equal to the value of two pencils and the value of six pencils is equal to the value of five markers. What is the value of one marker?

(A) Rs. 9

(B) Rs. 12

(C) Rs. 13.50

(D) Rs. 15

#### Simplification Question

$${\sqrt{(1-sin^{2}θ) ÷{(1-cos^{2}θ)}}}$$

(A) tan θ

(B) cot θ

(C) sec θ

(D) cosec θ

Q :  The weight of a bucket full of water is 36 kg. If the weight of a half-filled bucket is 21 kg, what will be the weight of the empty bucket?

(A) 10 kg

(B) 8 kg

(C) 6 kg

(D) 12 kg

Q :  In a group of 15 women, 7 have nose studs, 8 have ear rings and 3 have neither. How many of these have both nose studs and ear rings?

(A) 0

(B) 2

(C) 7

(D) 3

Q :  If 2x + 3y – 5z = 18 , 3x + 2y + z = 29 and x + y + 3z = 17 , then what is the value of xy + yz + zx ?

(A) 32

(B) 46

(C) 64

(D) 52

Q :  What is the value of

(A) 1

(B)

(C)

(D) -1

Q :  The value of  is:

(A) 15

(B) 1.5

(C) 0.9

(D) 9

Q :  What is the value of x

(A) 0.9

(B) 0.09

(C) 9

(D) 0.0009

Q :  What will be the total number of pieces if the length of

the rib is cut to 3/4 m length?

(A) 3

(B) 5

(C) 6

(D) 7

Q :  3×2 = 36 then what is the value of x?

(A)

(B) 3

(C)

(D)  or

Q :  The price of one eraser is Rs. 3. The value of 20 eraser is equal to the value of three Pens. The value of one pen is equal to the value of two pencils and the value of six pencils is equal to the value of five markers. What is the value of one marker?

(A) Rs. 9

(B) Rs. 12

(C) Rs. 13.50

(D) Rs. 15

1. Income of a company doubles after every one year. If the initial income was Rs.4 Lakhs, what would be the income after 5 years?

(A) Rs. 1.24 crores

(B) Rs. 1.28 crores

(C) Rs. 2.56 crores

(D) Rs. None of these

Ans .   B

2. A light was seen at intervals of 13 seconds. It was seen for the first time at 1 hr. 54 min 50 secs. a.m. and the last time at 3 hrs. 17 min. 49 secs. a.m. How many times was the light seen?

(A) 360

(B) 375

(C) 378

(D) 384

Ans .   D

3. If 3x- 5y= 5 and  , then what is the value of x-y?

(A) 3

(B) 4

(C) 6

(D) 9

(E) None of these

Ans .   A

4. The total monthly salary of 4 men and 2 women is Rs. 46,000. If a woman earns Rs. 500 more than a man, what is the monthly salary of a woman?

(A) Rs. 6500

(B) Rs. 7500

(C) Rs. 8000

(D) Rs. 9000

Ans .   C

5. David got two and a half time as many marks in English as in History. If his total marks in the two subjects are 140, the marks obtained by him in English are:

(A) 40

(B) 75

(C) 90

(D) 100

Ans .   D

6. The number of girls in a class is 5 Time the number of boys. Which of the following cannot be the total number of children in the class?

(A) 24

(B) 30

(C) 35

(D) 42

(E) 54

Ans .   C

7. Water boils at 2120 F or 1000 C and melts at 320F or 00. If the temperature of a particular day is 350 C, it is equivalent to :

(A) 850 F

(B) 900 F

(C) 950 F

(D) 990F

Ans .   C

8. The total number of digits used in numbering the pages of a book having 366 pages, is:

(A) 732

(B) 990

(C) 1098

(D) 1305

Ans .   B

9. A printer number the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have?

(A) 1000

(B) 1074

(C) 1075

(D) 1080

Ans .   B

10. If one-third of a tank holds 80 litres of water, then the quantity of water that half of the tank holds is:

(A)  litres

(B) 100 litres

(C) 120 litres

(D) 240 litres

Ans .   C

11. A person travels 3.5 km from place A to place B. Out of this distance, he travels  km on bicycle,  km on scooter and the rest on foot. What portion of the whole distance does he cover on foot?

(A)

(B)

(C)

(D)

Ans .   C

12. What fraction of  must be added to itself to make the sum ??

(A)

(B)

(C)

(D)

Ans .   C

13.  of a pole is coloured red,   white,   blue,  black,  violet,  yellow and the rest is green. If the length of the green portion of the pole is 12.08 metres, then the length of the pole is:

(A) 16 m

(B) 18 m

(C) 20 m

(D) 30 m

Ans .   A

14. In an examination, a student was asked to find  of a certain number. By mistake, he found  of that number. His answer was 150 more than the correct answer. The number is:

(A) 180

(B) 240

(C) 280

(D) 290

Ans .   C

15. The marks scored in an examination are converted from 50 to 10 for the purpose of internal assessment. The highest marks were 47 and the lowest were 14. The difference between the maximum and the minimum internal assessment scores is:

(A) 3.3

(B) 4.8

(C) 6.6

(D) 7.4

Ans .   C

16. One-third of Rahul’s saving in National saving certificate is equal to one-half of his saving in public provident fund. If he has Rs. 1,50,000 as total saving, how much has he saved in public provident fund?

(A) Rs. 30,000

(B) Rs. 50,000

(C) Rs. 60,000

(D) Rs. 90,000

Ans .   C

17. To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of bucket is reduced to two-fifths of its present?

(A) 10

(B) 35

(C)

(D) cannot be determined

(E) None of these

Ans .   C

18. Ram gave one-fourth of the amount he had to Mohan. Mohan in turn gave half of what he received from Ram to Sohan. If the difference between the remaining amount with Ram and the amount received by Sohan is Rs.500, how much money did Mohan receive from Ram?

(A) Rs. 100

(B) Rs. 200

(C) Rs. 400

Ans .   B

19. A man has divided his total money in his will in such a way that half of it goes to his wife,  of the remaining among his three sons equally and the rest among his four daughters equally. If each daughter gets Rs. 20,000, how much money will each son get?

(A) Rs. 48,233.33

(B) Rs. 50,333.33

(C) Rs. 53,333.33

(E) None of these

Ans .   C

20. One-third of the boys and one-half of the girls of a college participated in a social works project. If the number of participating students is 300 out of which 100 are boys, what is the total number of student in the college?

(A) 500

(B) 600

(C) 700

(D) 800

Ans .   C