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Number System: Level 1 Test -12

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Question 1
Three different containers contain different quantities of a mixture of milk and water, whose measurements are 403 kg, 434 kg and 465 kg. What biggest measure be there to measure all the different quantities exactly?
A
7 kg
B
1 kg
C
31 kg
D
41 kg
Question 1 Explanation: 
Here 434-403 = 31 Kg
Similarly 465-434=31 Kg.
As we can see 31 Kg is actually the HCF of (403,434,465) Correct option is (c)
Question 2
If 6 yr. are subtracted from the present age of Randheer and the remainder is divided by 18, then the present age of his grandson Anup is obtained. If Anup is 2 yr. younger to Mahesh whose age is 5 yr. what is the age of Randheer?
A
84 yr.
B
48 yr.
C
60 yr.
D
96 yr.
Question 2 Explanation: 
Anup’s age is 3 yrs.
Then the age of Randheer = (18 x 3)+6=60
Correct option is (c)
Question 3
For numbers a and b, define * as $ \displaystyle a*b=\left( a+b \right)\,\div \left( a-b \right).$
Then the value of (1* 2) * 3 is
A
-2/3
B
-1/5
C
0
D
1/2
Question 3 Explanation: 
(1* 2) * 3 = -3*3=0
Correct option is (c)
Question 4
The unit’s digit of 132003 is
A
1
B
3
C
7
D
9
Question 4 Explanation: 
This is equal to find  33  =_7
Correct option is (c)
Question 5
The fuel indicator in a car shows one-fifth of the fuel tank as full. When 22 more litres of fuel are poured into the tank, the indicator rests at the three-fourth of the full mark. Find the capacity of the fuel tank.
A
25 L
B
35 L
C
30 L
D
40 L
Question 5 Explanation: 
$ \displaystyle \begin{array}{l}Given,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{p}{5}+22=\frac{3}{4}p\\\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left( \frac{3}{4}-\frac{1}{5} \right)\,p=22\\\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{11}{20}p=22\\\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,p=40\,L\end{array}$
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