1.
For any number P, 3P is the same as:-
Correct Answer
C. P+P+P
Explanation
The given statement states that for any number P, 3P is the same as P+P+P. This means that when we multiply any number P by 3, the result is equal to adding P to itself three times. Therefore, the correct answer is P+P+P.
2.
Which of these is the same as 20082009 * 43?
Correct Answer
D. (20082009*40) + ( 20082009*3 )
Explanation
The correct answer is (20082009*40) + ( 20082009*3 ). This is because multiplying 20082009 by 40 gives the result of 803280360, and multiplying 20082009 by 3 gives the result of 60246027. Adding these two results together gives the final answer of 863526387.
3.
Which of these equations is equivalent to 14p + 4 = 74?
Correct Answer
B. 7p+2= 37
Explanation
The given equation is 14p + 4 = 74. To find an equivalent equation, we need to isolate the variable p on one side of the equation. By subtracting 4 from both sides of the equation, we get 14p = 70. Dividing both sides of the equation by 14, we get p = 5. Therefore, the equivalent equation is 7p + 2 = 37, which can be obtained by substituting the value of p as 5 into the equation.
4.
If -2m = 4, what is -12m?
Correct Answer
D. 24
Explanation
Since -2m = 4, we can solve for m by dividing both sides of the equation by -2. This gives us m = -2. Now, we can substitute this value of m into the expression -12m. Multiplying -12 by -2 gives us 24. Therefore, the value of -12m is 24.
5.
Rashmi measured two of the sides of a triangle and found them to be 4 cm and 9 cm . which of the following could be the length of the third side?
Correct Answer
B. 8 cm
Explanation
The length of any side of a triangle must be less than the sum of the lengths of the other two sides and greater than the difference between the lengths of the other two sides. In this case, the sum of the two given sides (4 cm and 9 cm) is 13 cm, and the difference between them is 5 cm. Therefore, the length of the third side could be 8 cm, as it is greater than 5 cm and less than 13 cm.
6.
What can be said about the number obtained on subtracting (-2010) from 2010 ?
Correct Answer
C. It is greater than 2010
Explanation
When subtracting a negative number from a positive number, the result will always be greater than the positive number. In this case, subtracting (-2010) from 2010 will give a result greater than 2010.
7.
Rahul has scored 78,72,90 and 82 marks respectively in his English, Hindi, maths, and scientific papers. What are his marks in social studies if his average score in all the five papers is 80?
Correct Answer
A. 78
Explanation
To find Rahul's marks in social studies, we need to calculate the total marks he scored in all five papers. Since his average score is 80, the sum of his marks in all five papers is 80 multiplied by 5, which is 400. If we subtract the sum of his marks in English, Hindi, maths, and scientific papers from this total, we can find his marks in social studies. Therefore, his marks in social studies would be 400 - (78 + 72 + 90 + 82) = 78.
8.
Which of these is the same as the Least Common Multiple (LCM) of 3 numbers :-
5,8725 and 9100 ?
(NOTE: you need not actually calculate the LCM)
Correct Answer
C. LCM of 8725 and 9100
Explanation
The correct answer is "all of the above". The LCM of three numbers is the smallest number that is divisible by all three numbers. In this case, the LCM of 8725 and 9100 would also include the LCM of 5 and 8725, as well as the LCM of 5 and 9100. Therefore, all three options mentioned in the answer are correct.
9.
A merchant sold an item for Rs.1200 to earn a profit of a little less than 50% over its cost price. What could the cost price be?
Correct Answer
B. Rs.607
Explanation
The cost price of the item could be Rs.607. If the merchant sold the item for Rs.1200 and wanted to earn a profit of a little less than 50% over its cost price, then the selling price would be 150% of the cost price. By setting up the equation 150% of the cost price = Rs.1200, we can solve for the cost price, which is Rs.607.
10.
The result of adding 10% of 100 to 200 and then subtracting 5% of 200 from the result is the same as:-
Correct Answer
A. 200
Explanation
Adding 10% of 100 to 200 means adding 10 to 200, which equals 210. Then, subtracting 5% of 200 from the result means subtracting 10 from 210, which equals 200. Therefore, the result of adding 10% of 100 to 200 and then subtracting 5% of 200 is 200.