Ravi has Rs 3 more than Ramu, but then Ramu wins on the horses and triples his money so that he now has Rs 2 more than the original amount of money that the two boys had between them. How much money did Ravi and Ramu have between them before Ramu’s win?
SNAP OMETs - Quant Based Reasoning Questions
SNAP OMETs - Quant Based Reasoning Questions
Ramu has x rupees.
Ravi has x+3 rupees.
Total =2x+3
Ramu wins on the horses and triples his money so that he now has Rs 2 more than the original amount of money that the two boys had between them.
3x = 2x+5
=> x=5
Total =13
Option C
Which of the following expressions will be true if the expression $$R > O = A > S < T$$ as definitely true?
From the given series $$R > O = A > S$$ part will be R>S is a true statement.
Refer to the following data and answer the questions that follow:
A numerical machine accepts two values X and Y. Then it updates these values as X = XY and Y = Y + 1 in every step. The machine stops at X $$\geq$$ N.
For X = 3, Y = 2 and N = 100, how many steps are performed before the machine stops?
X = 3, Y = 2 and N = 100
Step 1. X=6 Y=3
Step 2. X=18 Y=4
Step 3. X=72 Y=5
Step 4. X=360 Y=6
Hence Option C is correct.
Refer to the following data and answer the questions that follow:
A numerical machine accepts two values X and Y. Then it updates these values as X = XY and Y = Y + 1 in every step. The machine stops at X $$\geq$$ N.
In the above question (51), what is the final value of X?
X = 3, Y = 2 and N = 100
Step 1. X=6 Y=3
Step 2. X=18 Y=4
Step 3. X=72 Y=5
Step 4. X=360 Y=6
Option D
Refer to the following data and answer the questions that follow:
A numerical machine accepts two values X and Y. Then it updates these values as X = XY and Y = Y + 1 in every step. The machine stops at X $$\geq$$ N.
In the above question (51), what is the final value of Y?
X = 3, Y = 2 and N = 100
Step 1. X=6 Y=3
Step 2. X=18 Y=4
Step 3. X=72 Y=5
Step 4. X=360 Y=6
Hence Option C is correct.
Refer to the following data and answer the questions that follow:
A numerical machine accepts two values X and Y. Then it updates these values as X = XY and Y = Y + 1 in every step. The machine stops at X $$\geq$$ N.
If the value of N is changed to 500, what would be the final value of X?
X = 3, Y = 2 and N = 100
Step 1. X=6 Y=3
Step 2. X=18 Y=4
Step 3. X=72 Y=5
Step 4. X=360 Y=6
Step 5. X=2160 Y=7
Hence Option D is correct.
Refer to the following data and answer the questions that follow:
A numerical machine accepts two values X and Y. Then it updates these values as X = XY and Y = Y + 1 in every step. The machine stops at X $$\geq$$ N.
If X = 2 and Y = 3, what should be the minimum value of N such that final value of Y is 7?
1. X=2, Y=3
X = XY and Y = Y + 1
2. X=6, Y=4
3.X=24, Y=5
4. X=120, Y=6
5. X= 720, Y=7
Hence X can take any value above 120
Hence among the given values Option A is the correct choice.
In the Sunday bazzar, Jamuna sells her lemons at Rs. 0.50 for two. Her neighbour Seema has a little smaller lemons; she sells hers at Rs. 0.50 for three. After a while, when both ladies have the same number of lemons left, Seema is called away. She asks her neighbour to take care of her goods. To make things simple, Jamuna puts all lemons in one big pile, and starts selling five lemons per one rupee. When Seema returns, at the end of the day, all lemons have been sold. But when they start dividing the money, there appears to be a shortage of Rs. 3.50. Supposing they divide the money equally, how much does Jamuna lose with this deal?
Let selling price per lemon of Jamuna be 'j' and that of Seema's be 's'.
Jamuna sells 2 lemons for Rs. 0.5 which makes j=(1/4)
Seema sells 3 lemons for Rs. 0.5 which makes s=(1/6)
After Seema leaves, Jamuna sells 5 lemons for a rupee and let it be denoted by t=(1/5)
Let the no. of lemons with each one of them be N.
If Seema would've sold her N lemons, she would've earned Rs. (N/6) and similarly, Jamuna would have earned Rs. (N/4).
When their individual stock is sold together, they earn Rs. (2N/5).
When counting, they observe that there's shortage of Rs. 3.50
So the eqn we can form is:
(2N/5)-(N/4)-(N/6) = 3.50
=> (N/60) = 3.5
=> N = 210 lemons
So, if Jamuna didn't sell both stocks together, she'd have earned Rs. (210/4) = Rs. 52.5
But on selling the stocks together and dividing the money equally, she gets Rs. ((2x210)/5) = Rs. 42
$$\therefore\ $$ Jamuna suffers a loss of Rs. 10.5
There are two cups, one containing orange juice and one containing an equal amount of lemonade. One teaspoon of the orange juice is taken and mixed with the lemonade. Then a teaspoon of this mixture is mixed back into the orange juice. Is there more lemonade in the orange juice or more orange juice in the lemonade?
Let the orange juice be in cup A initially and lemonade in B.
Let their vol. be 40L.
Let the vol. of the teaspoon be 10L.
On taking out 10L of orange juice from A and putting it in B, vol. of A becomes 30L and that of B becomes 50L.
In B, the ratio of vol. of orange juice to lemonade is 1:4.
Further when we take a teaspoon of the mixture from B, the vol. of liquid in the teaspoon will also have orange juice to lemonade in the ratio 1:4 i.e. 2L of orange juice and 8L of lemonade which is put into A.
So finally A contains 8L of lemonade and B contains 8L of orange juice because the teaspoon initially put in 10L and then took 2L out.
A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, "How many gold coins do we have?" After pausing a moment he replied, "Well! If I divide the coins into two unequal numbers, then 48 times the difference between the two numbers equals the difference between the squares of the two numbers." The wife looked puzzled. Can you help the merchant's wife by finding out how many gold coins the merchant has?
Let $$x$$ and $$y$$ be the 2 unequal number in which he divides the gold such that x>y.
Total coins with him = $$x+y$$
As per the merchant
$$48\left(x-y\right)\ =\ x^2-y^2$$
$$48\left(x-y\right)\ =\left(x-y\right)\left(x+y\right)$$
Either $$x+y = 48$$ or $$ x=y$$(rejected as it is given that they are unequal
hence merchant has 48 coins.
An enterprising businessman earns an income of Rs 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 10th day of business, his income is
For Day 1 his income was = Rs 1
For Day 2 his income was = Rs 1*2 = Rs. 2
For Day 3 his income was = Rs 2*2 = Rs 4 = Rs 1 * $$2^2$$
Similarly for nth day his income = Rs 1* $$2^{n-1}$$
Hence for 10th day his overall income is Rs 1*$$2^{10-1}$$ = $$2^9$$
One night three naughty boys stole a basket full of apples from the garden, hid the loot and went to sleep. Before retiring they did some quick counting and found that the fruits were less than a hundred in number. During the night one boy awoke, counted the apples and found that he could divide the apples into three equal parts if he first took one for himself. He then took one apple, ate it up and took $$\frac{1}{3}$$ of the rest, hid them separately and went back to sleep. Shortly thereafter another boy awoke, counted the apple and he again found that if he took one for himself the loot could be divided in to three equal parts. He ate up one apple, bagged $$\frac{1}{3}$$ of the remainder, hid them separately and went back to sleep. The third boy also awoke after some time, did the same and went back to sleep. In the morning when all woke up, and counted apples, they found that the remaining apples again totaled I more than could be divided into three equal parts. How many apples did the boys steal?
We'll approach this question by checking the options.
When the 1st boy woke up, he ate 1 and hid a third of the remaining, which leaves two-thirds.
So, if the initial no. of apples was N, after the actions of the 1st boy who woke up, now remaining apples are:

The 2nd boy repeats the process which makes the remaining no. of apples :

Now the 3rd guy repeats the process as well. No. of apples remaining after the 3rd operation:

Now this number has to be an integer and one less than this will be divisible by 3.
On putting the value of N as 67, 79 and 85 we can observe that only 79 satisfies the conditions.