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Permutation and Combination
Profit and Loss
Time, Speed and Distance
Simple and Compound Interest
Series, Sequence
Geometric Problems
Add, Substract, Multiply, Divide
Percentage and Average
Square, Square Roots, Cube, Cube Roots
Ratio, Proportion and Partnerhip
Work and Time
Number System, Equations
Cryptography, Coding, Decoding
Date, Clock, Calender
Odd One Out
Pipe and Cistern
Q1. My friend, Alex, struggles a little. I recently asked him to buy me some ribbon for my daughter's pretty pink bonnet. He went to the haberdashery shop for the required length but accidentally interchanged the feet and inches. When I measured the resulting ribbon I only had 5÷8 of the length I required. How much ribbon did I originally ask for?

Remember that there are 12 inches in each foot.
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Q2. Shyma and Vyom walked up an escalator (moving starway). The escalator moves at a constant speed. Shyma take three steps for every 2 of vyom's steps. Shyma get to the top of the escalator after having taken 25 steps, while vyom (because her slower pace lets the escalator do a little more of the work) takes only 20 steps to reach the top. If the escalator were turned off, how many steps would they have to walk up?
Q3. All the divisors of 360, including 1 and the number itself, are summed up. The sum is 1170. What is the sum of the reciprocals of all the divisors of 360?
Q4. Analyse the image and answer

Q5. 45,40,35,..Which will be the first negative term of the series?
Q6. Directions (1-5): Each question below is followed by two statements I and II. You are to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. 

Give answer—

(1) If the question can be answered by using statement I alone but can not be answered by statement II alone.
(2) If the question can be answered by using statement II alone but can not be answered by statement I alone.
(3) If both statements I and II together are required to answer the question.
(4) If the answer can be derived by using any of the two statements alone.
(5) If both the statements together are not sufficient to answer the question.

1. How many days will Ram take to make 150 toys?
I. Shyam takes 10 days to make 100 toys.
II. Ram and Shyam together make 150 toys in 6 days.

2. What is the rate of simple interest?
I. Simple interest is Rs 200.

II. Duration is 2 years?

3. What is the area of a circle?
I. Radius of circle is 35 cm.
II. Circumference of circle is 220 cm.

4. What is the number of boys and number of girls in a class?
I. Ratio of number of boys to number of girls is 5 :4.
II. Number of boys is 25% more than the number of girls.

5. What is the present age A and B?
I. Ratio of their present ages is 3 : 1.
II. Ratio of their ages 10 years ago was 5 : 1.
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Q7. Q. 1. A can do a piece of work in 5 days and B can do the same work in 10 days. How many days will both take to complete the work?
(a) 5 days (b) 3 1/3 days (c) 3 days (d) 6 days (e) None of these

Q. 2. If 12 men can do a piece of work in 24 days, then in how many days can 18 men do the same work?
(a) 36 (b) 20 (c) 18 (d) 16 (e) None of these

Q. 3. A group of workers accepted to do a piece of work in 25 days. If 6 of them did not turn for the work and the remaining workers did the work in 40 days, then the original number of workers was
(a) 22 (b) 20 (c) 18 (d) 16 (e) None of these

Q.4. If 8 men or 12 women can do a piece of work in 10 days, then the number of days required by 4 men and 4 women to finish the work is (a) 8 (b) 10 (c) 12 (d) 4 (e) None of these

Q. 5. If 8 men can dig a well in 18 days, then the number of days, 12 men will take to dig the same well will be
(a) 12 days (b) 10 days (c) 8 days (d) 16 days (e) None of these

Q. 6. 39 men can repair a road in 12 days working 5 hours a day. In how many days will 30 men working 6 hours peer day complete the work?
(a) 10 (b) 13 (c) 14 (d) 15 (e) None of these

Q. 7. A certain number of men can do a work in 40days. If there were 8 men more, it could be finished in 10 days less. How many men were there initially?
(a) 30 (b) 24 (c) 16 (d) 20 (e) None of these

Q. 8. If 4 men or 6 boys can finish a work in 20 days. How long will 6 men and 11 boys take to finish the same work?
(a) 10 days (b) 6 days (c) 4 days (d) 3 days (e) None of these

Q. 9. A works twice as fast as B. if B can complete a work in 12 days independently. The number of days in which A and B can together finish the work?
(a) 18 days (b) 8 days (c) 6 days (d) 4 days (e) None of these

Q. 10. A and B can do a piece of work in 4 days. If A can do it alone in 12 days, B will finish the work in
(a) 4 days (b) 6 days (c) 8 days (d) 10 days (e) None of these
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Q8. A cricketer's average in his first 18 innings was 16.5 runs. After a further 8 innings, his average had increased to 32.5 runs. What was his average for the last 8 innings?
Q9. Yesterday I went for a long bicycle ride around the local lakes. As the ride was quite long, I rode in various stages.

In the first stage I rode half of the overall distance.
Stage two saw half of the remaining distance plus 35 metres covered.
Stage three covered three-quarters of the remaining distance.
Stage four completed half of the remaining distance plus 75 metres.
Stage five completed the journey with a final burst of 150 metres.
How far did I cycle in total?
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Q10. Analyse the image and answer