# Math Puzzle 40

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**1.**The ratio of income to expenditure of Mr.Smith is 7:5. If he saves $ 2000

a month, what could be his income?

**2.**The ratio of the length to breadth of a lawn is 3:5. It costs $ 3200 to fence it at the rate of $2 a meter. What would be the cost of developing the lawn at the rate of $ 10 per square meter.

**3.**If one counts one for the thumb, two for the index finger, three for the middle finger, four for the ring finger, five for the little finger and continues counting backwards, six for the ring finger, seven for the middle finger,eight for the index finger, 9 for the thumb, ten for the index finger, eleven for the middle finger, twelve for the ring finger, thirteen for the little finger, fourteen for the ring finger and so on. Which finger will be counted as one thousand?

**4.**Three friends plucked some mangoes from a mango grove and collected them together in a pile and took nap after that. After some time, one of the friends woke up and divided the mangoes into three equal numbers. There was one mango extra. He gave it to a monkey nearby, took one part for himself and slept again. Next the second friend got up unaware of what has happened, divided the rest of the mangoes into three equal shares. There was an extra mango. He gave it to the monkey, took one share for himself and slept again. Next the third friend got up not knowing what happened and divided the mangoes into three equal shares. There was an extra mango. He gave it to the monkey, took one share for himself and went to sleep again. After some time, all of them got up together to find 30 mangoes. How many mangoes did the friends pluck initially?

**5.**The peculiar number There is a number which is very peculiar. This number is three times the sum of its digits. Can you find the number?

**6.**Ten saplings are to be planted in straight lines in such way that each line has exactly four of them.

**7.**What will be the next number in the sequence?

(a) 1, 5, 9, 13, 17, 21, ...

(b) 2, 7, 12, 17, 22, ...

(c) 2, 6, 12, 20, 30, ...

(d) 1, 2, 3, 5, 8, 13, ...

(e) 1, 3, 6, 10, 15, ...

**8.**Observe the pattern in the following statement: 31 × 39 = 13 × 93 The two numbers on each side are co-prime and are obtained by reversing the digits of respective numbers. Try to write some more pairs of such numbers.

**9.**Solve the number riddles:

(i) Tell me who I am! Who I am! Take away from me the number eight,

Divide further by a dozen to come up with

A full team for a game of cricket!

**10)**(ii) Add four to six times a number,

To get exactly sixty four!

Perfect credit is yours to ask for

If you instantly tell the score!

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