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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)

### Maths Book and Class Notes PDF

Q :A man was engaged on a job for 40 days on the condition that he will get a wage of Rs. 180 for the day he works, but he will have to pay a fine of Rs. 20 for each day of his absence. If he gets Rs. 520 at the end of the month, then, he was absent for how many days?

(A) 12 days

(B) 10 days

(C) 6 days

(D) 8 days

(E) 14 days

Q : In a regular week, there are 6 working days and for each day the working hours are 8. A man gets Rs. 40 per hour for regular work and Rs. 45 per hour for overtime. If he earns Rs.10,500 in 5 weeks, then how many hours does he work for?
(A) 220

(B) 240

(C) 260

(D) 210

(E) 280

Q : The ratio of the age of a son and father is 1: 4. After 9 years, the ratio will be 2: 5. What is the present age (in years) of the son?
(A) 10

(B) 8

(C) 9

(D) 12

#### Gagan Pratap Maths Book and Class Notes

Q : The total income of Ramesh, Suresh and Dinesh is Rs. 17325. Ramesh spend 70%, Suresh spend 75% and Dinesh spend 80% of their income. The ratio of their saving is 6 : 8 : 5. What is the income of Dinesh?
(A) Rs. 4500

(B) Rs. 5625

(C) Rs. 7200

(D) Rs. 4800

(E) None of these

Q : Ram divided his total property between his two sons. The elder son received 70% of the total property. If the elder son donates Rs. 8500 in charity then the total property remained with him will be 20% more than that of younger son. What was the difference between the total property received by the elder son and that by younger son?
(A) Rs. 7500

(B) Rs. 12500

(C) Rs. 15000

(D) Rs. 10000

(E) None of these

Q : In a college Anjana scored 80 marks out of 150 in History and 95 marks out of 120 in English. If she wants to score 70% marks in 3 subjects, find the minimum marks she should score in Geography out of 100.
(A) 70

(B) 55

(C) 76

(D) 85

(E) None of these

Q : Harish started his journey at 18:40 and finished at 22:20. The time taken in completing the journey is—
(A) 3 hours 40 minutes

(B) 3 hours 80 minutes

(C) 4 hours 40 minutes

(D) 3 hours 20 minutes

Q : A constable was 114 meters behind a thief. A constable walks 21 meters and a thief 15 meters in a minute, then in how much time will the constable catch the thief?
(A) 19 minute

(B) 17 minute

(C) 18 minute

(D) 16 minute

Q : 200 meter long train crosses a bridge with the speed of 54 km/hrs. in 30 sec. Find the length of bridge?
(A) 300 m.

(B) 250 m.

(C) 200 m.

(D) 240 m.

#### Gagan Pratap Maths Book and Class Notes

Q : Two trains starts from place A and B, 450 km apart towards each other. Both trains start simultaneously. A crow sitting on one train start flying at the same time towards the other train and as soon as it reaches the second train, it flies back to the first train and it continues in this manner flying backward and forwards from one train to the other until the train meet. Both train travel at a speed of 45 km / h and the crow flies at 100 km / h total distance covered by the crow will be
(A) 400 km

(B) 360 km

(C) 450 km

(D) 500 km

Q : A sum becomes 5 times of itself in 3 years at compound interest (interest is compounded annually). In how many years will the sum becomes 125 times of itself?
(A) 9

(B) 6

(C) 8

(D) 12

Q : A sum become Rs. 10,650 in 5 years and Rs.11076 in 6 years at simple interest. What is the sum?
(A) Rs.8946

(B) Rs. 8740

(C) Rs. 8520

(D) Rs.8800

Q : A vacuum cleaner was marked at 30% above the cost price and a discount of 24% was given on its marked price. What is the profit/loss percentage?
(A) 4%

(B) 1.2%

(C) 6.25%

(D) 2.5%

Q : An article is sold at a profit of 20% of its cost price. If cost price and selling price reduces by Rs 10 and Rs. 5 respectively, then the percentage profit increased to 30%. Find the cost price?
(A) Rs. 80

(B) Rs. 50

(C) Rs. 75

(D) Rs. 60

Q : In an alloy, the ratio of copper and zinc is 7 : 6. If 1,450 gm. of zinc mixed with in 14 kg 300gm. of an alloy, then the ratio of copper and zinc will be
(A) 26:27

(B) 22: 23

(C) 23:26

(D) 25: 21

Q : A mixture contains milk and water in the ratio 5: 1. On adding 4 litres of water, the ratio of milk and water becomes 5: 2. What is the quantity of milk in the original mixture?
(A) 40 litre

(B) 36 litre

(C) 20 litre

(D) 24 litre

#### Gagan Pratap Maths Book and Class Notes

Q : The difference between simple interest and compound interest on Rs. 1200 for one year at the rate of 10 percent half-yearly is-
(A) 3

(B) 8.80

(C) 0

(D) 13.20

Q : Find the principal amount, the difference of which compound interest and simple interest for a period of 3 years at the rate of 10% per annum will be Rs 31-
(A) 1500

(B) 1100

(C) 1000

(D) 1200

Q : Two years ago the ratio of the ages of Nishu and Risu was 5 : 7 respectively. Four years hence the ratio of their ages will be 7 : 9 respectively. What is the present age of Risu?
(A) 12 years

(B) 23 years

(C) 16 years

(D) 14 years

Q : There is a difference of 8 years between the ages of Waqar and Naseema. When they were married 30 years ago. So 4 times Waqar’s age was equal to 5 times Nasima’s age. What is the sum of his present age?
(A) 134 Year

(B) 136 Year

(C) 132 Year

(D) 142 Year

Q : A Cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously then after how much time will the cistern get filled?
(A) 6.5 hrs

(B) 7.2 hrs

(C) 2.5 hrs

(D) 3 hrs

Q : Two pipes A and B can fill a tank in 3 hours and 5 hours. Then, if all three are open, the tank is filled in 30 hours. Find in how many hours a third pipe will empty the tank?
(A) 4 hours

(B) 2 hours

(C) 8 hours

(D) 6 hours

Q : If the square root of 841 is 29, then 0.00000841 is equal to :
(A) 0.00029

(B) 0.29

(C) 0.029

(D) 0.0029

Q : The sum of the squares of 3 consecutive positive numbers is 365. The sum of the numbers is
(A) 36

(B) 45

(C) 30

(D) 33

Q : A man can swim at the rate of 3 km/hr. in still water. Then, if speed of the stream is 2 km/hr., then in what time he will cover a total distance of 5 km in with the stream and against the stream?
(A) 6 hours

(B) 6.5 hours

(C) 4 hours

(D) 5 hours

Q : A boat running upstream takes 7 hours and 40 minutes to cover a certain distance while it takes 5 hours to cover the same distance downstream. What is the ratio between the speed of the current and speed of the boat respectively?
(A) 13: 4

(B) 17: 4

(C) 19: 4

(D) 4: 19

Q : LCM of two numbers is 2079 and their HCF is 27. If one of the numbers is 189, the other number is
(A) 297

(B) 584

(C) 189

(D) 216

Q : a and b are two whole numbers and c is their HCF, then the LCM of those two numbers is
(A) ab/c

(B) abc

(C) bc

(D) ac/b

Q : If the numerator of a fraction is increased by 250% and the denominator is increased by 400%. The resultant fraction is7/19 . What is the original fraction?
(A) 5/8

(B) 10/19

(C) 18/23

(D) 15/17

Q : Let p, q and r be the fraction such that p<q<r. If r is divided by p, the result is 5/2, which exceeds q by 7/4. If

then what is the value of (r-p)?
(A) 2/3

(B) 1/2

(C) 1/3

(D) 1/6