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Number System: Level 1 Test - 1

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Question 1
The sum of two numbers is 36, one of the number is one-third of the other number. Find the Smallest Number.
A
6
B
7
C
8
D
9
Question 1 Explanation: 
Let the numbers be 3x and x.
3x+ x = 36
4x = 36
x=9
Question 2
The cost of 13 kg of sugar is Rs 195 while the cost of 17 kg of rice is Rs 544 and the cost of 21 kg of wheat is Rs 336. Find the total cost of 21 kg of sugar, 26 kg of rice and 19 kg of wheat?
A
Rs. 1451
B
Rs. 1306
C
Rs. 1500
D
Rs. 1636
Question 2 Explanation: 
Cost of 13 kg of sugar = Rs 195
Cost of 21 kg of sugar= Rs 315
Cost of 17 kg of rice = Rs544
Cost of 26 kg of rice = Rs 832
Cost of 21 kg of wheat = Rs 336
Cost of 19 kg of wheat = Rs 304
Required cost = 315+ 832+ 304 =Rs 1451
Question 3
If the numbers which are divisible by 5 and the numbers which have 5 as one of the digits are eliminated from 1 to 60, how many numbers would remain?
A
40
B
47
C
53
D
45
Question 3 Explanation: 
Eliminated numbers are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 51… 60
So, total eliminated numbers are 20.
40 numbers would remain.
Question 4
A survey shows that 63% Britishers like cheese, whereas 76% Britishers like apples. If x % of the Britishers like both cheese and apples, then find the value of x.
A
40<= x<= 60
B
35<= x<= 65
C
39<= x <= 63
D
None of these
Question 4 Explanation: 
Draw a Venn diagram, where Cheese and apples intersect.
You should have three areas in this diagram with an area of intersection.
Maximum would be when people who like cheese also like apple, which means = 63 %
Minimum would be = 63+76 -100 = 39
Hence the answer will be 39 <=x =<63
Question 5
Three different containers contain different quantities of a mixture of milk and water, whose measurements are 403 kg, 434 kg and 465 kg. What is the biggest measure is there to measure all the different quantities exactly?
A
7 kg
B
1 kg
C
31 kg
D
41 kg
Question 5 Explanation: 
Required measure = HCF of 403, 434 and 465 =31 kg
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