Problem 1 :
How many three digit numbers are there ?
(A) 800 (B) 850 (C) 900
Solution :
Available digits are
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Number of three digit numbers
= 10⋅10⋅10
= 900
So, the number of three digit numbers are 900.
Problem 2 :
What is the roman numeral for 1000 ?
(A L (B) M (C) C
Solution :
Roman numeral of 1000 is M.
Problem 3 :
Which of the following numbers are divisible 9?
(A) 4268 (B) 3447 (C) 1342
Solution :
Sum of digits in (A) :
4268 ==> 4 + 2 + 6 + 8 ==> 20 (Not divisible by 9)
Sum of digits in (B) :
3447 ==> 3 + 4 + 4 + 7 ==> 18 (Divisible by 9)
Sum of digits in (C) :
1342 ==> 1 + 3 + 4 + 2 ==> 10 (Not divisible by 9)
So, 3447 is divisible by 9.
Problem 4 :
Write 800 in exponential form.
(A) 35 x 22 (B) 25 x 52 (C) 55 x 32
Solution :
800 = 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 5 ⋅ 5
= 25 ⋅ 52
Exponential form of 800 is 25 ⋅ 52.
Problem 5 :
Two composite numbers which have no common factors are called mutually __________________.
(A) Prime (B) Composite (C) None of these
Solution :
Two composite numbers which have no common factors are called mutually prime.
Problem 6 :
A milk man had 15 liters of milk in a vessel and 20 liters of milk in another vessel. Find the maximum capacity of a measuring jar which the milkman uses to measure milk from either vessel an exact number of times.
Solution :
To find the maximum capacity of a measuring jar which the milkman uses to measure milk from either vessel an exact number of times, we find highest common factor of 15 an d 20.
15 = 5 ⋅ 3
20 = 2 ⋅ 2 ⋅ 5
Highest common factor is 5.
So the answer is 5 liters.
Problem 7 :
Find the L.C.M of 48, 56, 72 and 108.
(A) 3024 (B) 3115 (C) 1248
Solution :
Least common multiple = 2 ⋅ 2 ⋅ 3 ⋅ 2 ⋅ 3 ⋅ 2 ⋅ 7 ⋅ 3
= 3024
Problem 8 :
Find the value of 16.45 + 124.562 + 62.7 - 75.243
(A) 148.633 (B) 115.24 (C) 128.469
Solution :
124.562 +
16.45
62.7
---------
203.712
----------
203.712 - 75.243 = 128.469
Problem 9 :
Fill in the blanks with suitable number 5.6 x _____ = 56
(A) 10 (B) 100 (C) 1000
Solution :
5.6 x _____ = 56
The decimal is moved one digit to the right, so 5.6 is to be multiplied by 10 to get 56.
Problem 10 :
Simplify 1/5 ÷ 3
(A) 1/15 (B) 3/5 (C) 1/8
Solution :
1/5 ÷ 3 = 1/5 ⋅ 1/3
= 1/15
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