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Question 1 of 5
1. Question
How many prime numbers exist in 67 x 353 x 1110 ?
Correct
Ans A
=(2 x 3)7 x (5 x 7)3 x 1110
=27 x 37 x 53 x 73 x 1110
Thus, there are (7 + 7 + 3 + 3 + 10) = 30 prime number
Incorrect
Ans A
=(2 x 3)7 x (5 x 7)3 x 1110
=27 x 37 x 53 x 73 x 1110
Thus, there are (7 + 7 + 3 + 3 + 10) = 30 prime number
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Question 2 of 5
2. Question
If the number 653ab is divisible by 90, then (a + b) = ?
Correct
Ans C
90 = 10 x 9
Clearly, 653ab is divisible by 10, so b = 0
Now, 653a0 is divisible by 9.
So, (6 + 5 + 3 + a + 0) = (14 + a) is divisible by 9. So, a = 4.
Hence, (a + b) = (4 + 0) = 4.Incorrect
Ans C
90 = 10 x 9
Clearly, 653ab is divisible by 10, so b = 0
Now, 653a0 is divisible by 9.
So, (6 + 5 + 3 + a + 0) = (14 + a) is divisible by 9. So, a = 4.
Hence, (a + b) = (4 + 0) = 4. -
Question 3 of 5
3. Question
A girl multiplies 987 by a certain number and obtains 559981 as her answer. If in the answer, both 9’s are wrong but the other digits are correct, then the correct answer will be
Correct
Ans : C
987 = 3 x 7 x 47.
So, required number must be divisible by each one of 3, 7, 47.
553681 and 555181 are not divisible by 3. While 556581 is not divisible by 7.
Correct answer is 555681.
Incorrect
Ans : C
987 = 3 x 7 x 47.
So, required number must be divisible by each one of 3, 7, 47.
553681 and 555181 are not divisible by 3. While 556581 is not divisible by 7.
Correct answer is 555681.
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Question 4 of 5
4. Question
A shopkeeper claims that he is selling sugar at Rs 23/kg which cost him Rs 25/kg but he is giving 800gm instead of 1000gm. What is his percentage profit or loss?
Correct
Ans : A
Here the cost price of the sugar is Rs 25/kg and the selling price is Rs 23/kg. So the loss is Rs 2/kg and the loss percentage = 2/25 x 100 = 8%
The profit due to wrong weight = 200/800 x 100 = 25%
Hence the overall profit and loss is given by {P + Q + (PQ/100)}
But as he is making loss of 8% in the first case so we put -8 in the above expression. If the final value is positive then he is making profit otherwise loss. So the net profit and loss =
{25 – 8 + {25 x (-8)}/100} = 25 – 8 – 2 = 15%
As the final value is positive so he is making a profit of 15%
Incorrect
Ans : A
Here the cost price of the sugar is Rs 25/kg and the selling price is Rs 23/kg. So the loss is Rs 2/kg and the loss percentage = 2/25 x 100 = 8%
The profit due to wrong weight = 200/800 x 100 = 25%
Hence the overall profit and loss is given by {P + Q + (PQ/100)}
But as he is making loss of 8% in the first case so we put -8 in the above expression. If the final value is positive then he is making profit otherwise loss. So the net profit and loss =
{25 – 8 + {25 x (-8)}/100} = 25 – 8 – 2 = 15%
As the final value is positive so he is making a profit of 15%
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Question 5 of 5
5. Question
Lalit marks up his goods by 40% and gives a discount of 10%. Apart from this, he uses a faulty balance also, which reads 1000 gm for 800 gm. What is his net profit percentage?
Correct
Ans: A
Let us assume his CP/1000 gm = Rs 100
So, his SP/kg (800 gm) = Rs 126
So, his CP/800 gm = Rs 80
So, profit = Rs 46
So, profit percentage = 46/80 x 100 = 57.5%
Incorrect
Ans: A
Let us assume his CP/1000 gm = Rs 100
So, his SP/kg (800 gm) = Rs 126
So, his CP/800 gm = Rs 80
So, profit = Rs 46
So, profit percentage = 46/80 x 100 = 57.5%
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