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Number System: Level 1 Test -11

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Question 1
In a chocolate store, there are vanilla and chocolate flavour bonbons only. 10% of the bonbons are chocolate flavoured, 90% of the rest are squashed. What percentage of the bonbons is vanilla flavoured that are not squashed?
A
9%
B
5%
C
1%
D
10%
Question 1 Explanation: 
The remaining = 90% of 90% =81 %
Thus left which re vanilla and not squashed = 9%.
Correct option is (a)
Question 2
Two times a two-digit number is 9 times the number obtained by reversing the digits and sum of the digits is 9. The number is
A
72
B
54
C
63
D
81
Question 2 Explanation: 
Let the number be 10x+y,
20x+2y=90y+9x
=>11x=88y
=>x=8y
x+y=9
Thus the number is 81.
Correct option is (d)
Question 3
If such numbers which are divisible by 5 and also those which have 5 as one of the digits are eliminated from the numbers 1 to 60, how many numbers would remain?
A
40
B
47
C
53
D
45
Question 3 Explanation: 
Numbers divisible by 5 are 11 and 9 numbers which have 5 and not divisible by 5.
Thus total to be eliminated = 20.
Remaining = 60-20 =40.
Correct option is (a)
Question 4
The first 44 positive integers are written in an order to form a larger numberN= 1 2 3 4 5 6 7 9 8 10 11 12……….42 43 44When N is divided by 45, then the remainder is
A
5
B
7
C
9
D
11
Question 4 Explanation: 
1+2+...+43+44=(44*45)/2 = 990. Thus the number is divisible by 9.
Now let us consider a number N-9 = 1 2 3 4 5 6 7 9 8 10 11 12……….42 43 35.
Now N-9 is divisible by 9 and 5 i.e. 45.
Thus remainder =9
Correct option is (c)
Question 5
If a number of two digits is k times the sum of its digits, then the number formed by interchanging the digits is the sum of the digits multiplied by:
A
9 + k
B
10 + k
C
11 – k
D
k – 1
Question 5 Explanation: 
Let us check this with a simple number say 12.
12 is 4 (=k) times (1+2)=3
The number formed b interchanged digits is 21.
The sum of the digits = 3.21=3x7
Checking all options only (c) is correct.
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