**A rectangular courtyard 140cm long 525cm wide is to be paved exactly with square tiles, all of the same size. what is the largest size of the tile which could be used for the purpose?**

A)64cm

B)35cm

C)21cm

D)28cm

Answer

Option (b) is correct

**Explanation –**

30 cm = 4 × 5 × 7

525 cm = 5 × 5 × 3 × 7

Hence common factors are 5 and 7

Hence LCM = 5 × 7 = 35

**Two containers contain 50 and 125 litres of water respectively. Find the maximum capacity of a container which can measure the water in each container an exact number of times(in litres)**

A)25

B)11

C)12

D)15

Answer

Option (a) is correct

**Explanation –**

HCF of 50 and 125 = 25

**Two baskets contain 183 and 242 Apples respectively, which are distributed in equal number among children. Find the largest number of apples that can be given, so that 3 apples are left over from the first basket and 2 from the second.**

A)45

B)40

C)60

D)56

Answer

Option (c) is correct

**Explanation –**

183-3 = 180

142-2 = 240

HCF of 240, 180 = 60

**A person has 3 bars whose length are 12,16,24m respectively. He want to cuts the longest possible pieces, all of the same length from each of the 3 bars, what is the length of the each piece, if he is cut without any wastage**

A)12m

B)20m

C)6m

D)4m

Answer

Option (d) is correct

**Explanation –**

HCF of 12, 16, 24 = 4m

**Four bells commence tolling together and toll at the intervals of 3,9,12,15 seconds resp. In 60 minutes how many times they will toll together.**

A)20

B)21

C)24

D)30

Answer

Option (b) is correct

**Explanation –**

LCM of 3, 9, 12, 15 = 180s = 3m

In 60m = 60/3 = 20=> 20+1 = 21

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