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GMAT Exam  >  GMAT Questions  >  If each term in the sum a1 + a2 + a3 + ... +a... Start Learning for Free
If each term in the sum a1 + a2 + a3 + ... +an is either 7 or 77 and the sum is equal to 350, which of the
following could equal to n?
  • a)
    38
  • b)
    39
  • c)
    40
  • d)
    41
  • e)
    42
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If each term in the sum a1 + a2 + a3 + ... +an is either 7 or 77 and t...
Solution:

To solve this problem, we need to use a bit of logic and guesswork.

Let's start by assuming that all the terms in the sum are 7. In this case, the sum would be:

7 + 7 + 7 + ... + 7 (n terms) = 7n

We know that the sum is 350, so we can set up the equation:

7n = 350

Solving for n, we get:

n = 50

But we also know that each term is either 7 or 77. So let's assume that all the terms are 77. In this case, the sum would be:

77 + 77 + 77 + ... + 77 (n terms) = 77n

We know that the sum is 350, so we can set up the equation:

77n = 350

Solving for n, we get:

n ≈ 4.55

This doesn't give us a whole number for n, so we need to try something in between. Let's assume that half the terms are 7 and half are 77. In this case, the sum would be:

7 + 77 + 7 + 77 + ... (n terms) = (7 + 77)n/2 = 42n

We know that the sum is 350, so we can set up the equation:

42n = 350

Solving for n, we get:

n ≈ 8.33

Again, we don't get a whole number for n. But notice that as we move from all 7s to all 77s to a mix of 7s and 77s, the value of n is decreasing. So we can make an educated guess that the value of n lies somewhere between 50 and 8.

Looking at the answer choices, we see that only option C (40) falls within this range. Therefore, the correct answer is C.
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Community Answer
If each term in the sum a1 + a2 + a3 + ... +an is either 7 or 77 and t...
Easy
one 77 takes 11 ,7s
for 350= 7*5*10,that is 50 7 s are required
if we put as per the options in the range of 40s ,one 77 and 39 7s then n will be 40 and sum will 350
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Directions: Read the given passage carefully and answer the question as follow.What is patriotism? Is it love of one’s birthplace, the place of childhood’s recollections and hopes, dreams and aspirations? Is it the place where, in childlike naivety, we would watch the fleeting clouds, and wonder why we, too, could not run so swiftly? The place where we would count the milliard glittering stars, terror-stricken lest each one “an eye should be,” piercing the very depths of our little souls? Is it the place where we would listen to the music of the birds, and long to have wings to fly, even as they, to distant lands? Or the place where we would sit at mother’s knee, enraptured by wonderful tales of great deeds and conquests? In short, is it love for the spot, every inch representing dear and precious recollections of a happy, joyous, and playful childhood?If that were patriotism, few American men of today could be called upon to be patriotic, since the place of play has been turned into factory, mill, and mine, while deafening sounds of machinery have replaced the music of the birds. Nor can we longer hear the tales of great deeds, for the stories our mothers tell today are but those of sorrow, tears, and grief.What, then, is patriotism? “Patriotism, sir, is the last resort of scoundrels,” said Dr. Johnson. Leo Tolstoy, the greatest anti-patriot of our times, defines patriotism as the principle that will justify the training of wholesale murderers; a trade that requires better equipment for the exercise of man-killing than the making of such necessities of life as shoes, clothing, and houses; a trade that guarantees better returns and greater glory than that of the average workingman.Gustave Herve, another great anti-patriot, justly calls patriotism a superstition— one far more injurious, brutal, and inhumane than religion. The superstition of religion originated in man’s inability to explain natural phenomena. That is, when primitive man heard thunder or saw the lightning, he could not account for either, and therefore concluded that back of them must be a force greater than himself. Similarly he saw a supernatural force in the rain, and in the various other changes in nature. Patriotism, on the other hand, is a superstition artificially created and maintained through a network of lies and falsehoods; a superstition that robs man of his self-respect and dignity, and increases his arrogance and conceit.Q.The primary purpose of the passage is to

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If each term in the sum a1 + a2 + a3 + ... +an is either 7 or 77 and the sum is equal to 350, which of thefollowing could equal to n?a)38b)39c)40d)41e)42Correct answer is option 'C'. Can you explain this answer?
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