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What is 6/7 in decimals?

The decimal form of 6/7 is 0.8571... This can be done as follows:... View Article

What is the expanded form of 5.038?

Given number: 5.038The digit 5 is in the units place, so its place value is 5.The digit 0 is in the tenths place, so its place value is 0/10.The... View Article

Find the point on the x-axis that is equidistant from (1, 2) and (3, -4).

Let A(1, 2) and B(3, -4) are the two points that are equidistant from P(x, 0).So, PA = PBSquaring on both sides,PA2 = PB2Using distance... View Article

What is 1.487 in terms of percentage?

To convert 1.487 to a percentage, multiply 1.487 by 100. 1.487 = 1.487 × 100= 148.7Therefore, 1.487 is equivalent to 148.7%.... View Article

What is the value of 5 to the power of -3?

5 to the power of -3 can be written as 5-3.5-3 = 1/53= 1/(5 × 5 × 5)= 1/125Therefore, the value of 5 to the power of -3 is 1/125.... View Article

A six-digit number is formed by repeating a three-digit number; for example, 256256 or 678678, etc. any number of this form is always exactly divisible by :

Now, 256256 = 256 × 1001 = 256,256 678678 = 678 × 1001 = 678,678 Hence, any six-digit number formed by repeating a three-digit... View Article

Let f : R→ (0,1) be a continuous function. Then, which of the following function(s) has(have) the value zero at some point in the interval (0, 1)?

We have the following options: (A) (B) (C) (D) Solution: Let us check all the options (A) Let h(x) = Then,... View Article

Two cards are drawn at random from a pack of 52 cards. The probability of getting at least a spade and an ace is:

Total possible outcomes = 52C2 = 1326 Favourable Outcome ( 1 spade and 1 ace) = 13C1 × 4C1 = 13 × 4 = 52 Probability of getting... View Article

Three dice are thrown. the probability of getting a sum that is a perfect square is

The total number of outcomes = 63 = 216 Among all these, we can get perfect squares 4, 9, 16 Total ways for an outcome of 4: (1, 1, 2) in 3... View Article

If nishu can swim downstream at 6kmph and upstream at 2kmph. What is his speed in still water?

Speed in upstream = 2km/h Speed in downstream = 6km/h Speed in still water = (Speed in upstream + Speed in downstream)/2 = (2+6)/2 = 4km/h... View Article

Find the value of 9 in the number 1,904,712

The place value of 9 in the number 1,904,712 is nine hundred thousand 1 million Hundred Thousand Ten Thousand Thousands... View Article

Find the number of digits in the square root of each of the following (without any calculation) a) 144 b) 2500

a) Number of digits in 144 = 3 Number of digits in the square root of 144 = (n+1)/2 { when n is odd} = (3 + 1)/2 = 2 b) Number of digits in... View Article

If the wage of 45 women amounts to ₹ 15525 in 48 days, how many men must work for 16 days to receive ₹ 5750, the daily wage of a man being double that of a woman?

Wages of 45 women for 48 days = ₹ 15525 Daily wage of 1 woman = ₹ 15525/(45 × 48) = ₹ 115/16 Given, daily wages of a man = 2 ×... View Article

A lot contains 10 items out of which 3 are defective. Three items are chosen from the lot one after another at random without replacement. Find the probability that all three are defective.

For the first draw: Number of defective balls = 3 Total number of balls in the bag = 10 Probability of drawing defective ball = 3/10 For the... View Article

The rate constant k1 of a reaction is found to be double that of rate constant k2 of another reaction. The relationship between corresponding activation energies of the two reactions at same temperature (E1 and E2) can be represented as:

We already know that the Arrhenius equation has the following expression:k=Ae−EaRT When the activation energy of a reaction increases,... View Article

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