### Mathematics Quiz

Directions (Q. 1 - 5): The following questions have a series of numbers based on a definite pattern. Guess the pattern and identify the next number which should come in the series.

1. 3628800, 907200, 100800, 6300, 252
1) 117
2) 109
3) 27
4) 15
5) 7
2. 41419, 5916, 985, 196, 48
1) 10
2) 12
3) 15
4) 21
5) 30

3. 95, 60, 36, 21, 13
1) 11
2) 10
3) 12
4) 9
5) 8

4. 450, 233, 107, 42, 14
1) 8
2) 10
3) 5
4) 7
5) 11

5. 125, 117, 108, 100, 91
1) 80
2) 78
3) 85
4) 86
5) 83

6. Ravi, Rakesh and Vijay invest in a partnership in the ratio 7/2, 4/3, 6/5 respectively. After 4 months, Ravi increases his share 50%. If the total profit at the and of one year be Rs. 32,400, then what is Rakesh's share in the profit?
1) Rs. 2000
2) Rs. 3000
3) Rs. 4000
4) Rs. 5000
5) Rs. 6000

7. If the number 481 * 637 is completely divisible by 9, what is the smallest number in place of * ?
1) 3
2) 7
3) 5
4) 9
5) 2

8. On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what is the remainder ?
1) 2
2) 3
3) 4
4) 5
5) 7

9. A shopkeeper has 2 cans of milk. The first contains 30% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the cans so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
1) 5 lit, 7 lit.
2) 9 lit, 3 lit.
3) 7.5 lit, 4.5 lit.
4) 4 lit, 8 lit.
5) None of these

10. There are 6 working days in a regular week and for each day, 10 hours is working hours. A woman earns Rs. 2.10 per hour. For regular work and Rs. 4.20 per hour for overtime. If he earns Rs. 525 in 4 weeks, how many hours did she work ?

1) 245
2) 225
3) 275
4) 255
5) 235

1. 5
÷ 2^2, ÷3^2, ÷4^2, ÷5^2, ÷6^2

2. 3
(-7 ÷ 7), (-6 ÷ 6), (-5 ÷ 5), (-4 ÷ 4), (-3 ÷3)

3. 2
(+1 - 6^2 ), (+1 -5^2), (+1 - 4^2), (+1 - 3^2), (+1 - 2^2)

4. 3
(-6^3 - 1), (-5^3 - 1), (-4^3 -1), (-3^3 - 1), (-2^3 -1)

5. 5
-8, -9 Repeated in alternate series

6. 5

7. 2

8. 4

9. 3

10. 1