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Q #21
:

Directions: Each question is followed by two statements. You have to decide whether the information provided the statements is sufficient for answering the question.

You have to decide whether the information provided the statements is sufficient for answering the question.

  1. Choose 1. If the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone.
  2. Choose 2. If the question can be answered by using either statement alone.
  3. Choose 3. If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
  4. Choose 4. If the question cannot be answered even by using both the statements together.

How many stars are there in the sky?

  1. There are as many stars in the sky as there are sand grains in a truck full of sand.
  2. A truck filled with send weights 8002 kg and 1 kg of sand has 9,78,000 grains of sand.

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Explanation: While we know the weight of truck filled with sand, we do not have the weight of an empty truck to calculate the weight of sand in the truck, unless we know the weight of the sand, we cannot get the number of grains of sand.

Q #22
:

Directions: Each question is followed by two statements.

You have to decide whether the information provided the statements is sufficient for answering the question.

  1. Choose 1. If the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone.
  2. Choose 2. If the question can be answered by using either statement alone.
  3. Choose 3. If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
  4. Choose 4. If the question cannot be answered even by using both the statements together.

The number 165 is split into three parts – two perfect squares and one perfect cube. If all the three parts are positive and distinct, find the three parts.

  1. One of the perfect squares is 36.
  2. The perfect cube is the greatest of the three parts.


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Explanation: Given 165 is divided into two perfect squares and one perfect cube. The possibilities are (100, 1, 64), (100, 64, 1), (4, 36, 125) and 121, 36, 8). From statement A we have, the one of the two perfect square as 36. There are two possibilities for this – (4, 36, 125) and (121, 36, 8), • Statement A alone is not sufficient From statement B we have the greatest of the three parts is perfect cube. So, the only possibility is (4, 36, 125) • Statement B alone is sufficient

Q #23
:

Directions: Each question is followed by two statements.

You have to decide whether the information provided the statements is sufficient for answering the question.

  1. Choose 1. If the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone.
  2. Choose 2. If the question can be answered by using either statement alone.
  3. Choose 3. If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
  4. Choose 4. If the question cannot be answered even by using both the statements together.

A boy plucked 15 mangoes in 4 days. On the first day, he plucked 4 mangoes. Find the number of mangoes plucked on each day (ignoring the order in which they were plucked). if every day atleast one mango was plucked.

  1. The number of mangoes plucked on each of the remaining days was odd.
  2. On no two days were an equal number of mangoes plucked.


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Explanation: Statement A alone is not sufficient as there is more than one possibility like (1, 1, 9), (3, 3, 5), (1, 3 7) Statement B alone is not sufficient as there is more than one possibility like (1, 3, 7) (1, 2, 8) etc. Using both the statements, we have (1, 3 7) as the only possibility of having odd number of mangoes plucked for the remaining three days and no two days have an equal number of mangoes.

Q #24
:

Directions: Each question is followed by two statements.

You have to decide whether the information provided the statements is sufficient for answering the question.

  1. Choose 1. If the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone.
  2. Choose 2. If the question can be answered by using either statement alone.
  3. Choose 3. If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
  4. Choose 4. If the question cannot be answered even by using both the statements together.

A certain English word has three vowels (not necessarily distinct). What is the number of O’s in the word?

(1)3

(2)2

(3)1

(4)4



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Explanation: As statement A does not mention anything about vowe! O, statement A alone is not sufficient. From statement B, we have the given word as – REPUBLIC DAY. The vowels in this word are A, E, I and U. As the required word is not having any of these vowels, it has all the three vowels as O. • Statement B alone is sufficient.

Q #25
:

Directions: Each question is followed by two statements.

You have to decide whether the information provided the statements is sufficient for answering the question.

  1. Choose 1. If the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone.
  2. Choose 2. If the question can be answered by using either statement alone.
  3. Choose 3. If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
  4. Choose 4. If the question cannot be answered even by using both the statements together.

The largest of 6 distinct positive integers is 10 and the smallest is 3. What is their average?

  1. There are exactly three prime numbers in these 6 numbers and the sum of these 6 numbers is prime.
  2. The sum of these 6 numbers is ten more than a perfect square.


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Explanation: Given largest number is 10 and the smallest is 3. From statement I we have out of the remaining four numbers there are 2 prime numbers and the sum of all the numbers is a prime. • remaining two primes are 5 and 7 sum of the known four numbers is 3 + 5 + 7 + 10 = 25. Remaining two number can be 4, 6, 8 or 9. If we take one of the number as 9, sum becomes even (which is not prime) • the remaining number can be (4, 6) (6, 8) or (4, 8) Out of these only for (4, 8) sum of six numbers is (25 + 12 = 37) Prime. • Statement A alone is sufficient to find their average. From Statement B, we have sum of the six numbers is 10 more than a perfect square. As already sum of two given numbers is 13 and all the numbers are distinct lying between 3 and 10, the two possible perfect squares we can consider are 25 and 36. • The possible sums are 35 or 46. • Sum of remaining four numbers are 22 (35 – 13) or 33 (46 – 13) If we consider 4, 5, 6 and 7 as the remaining numbers their sum is equal to 22. Even if we consider the greatest 4 possible numbers i.e. 6, 7, 8 and 9, their sum is less than 33. Only 3, 4, 5, 6, 7 and 10 is the possibility. Statement B alone is sufficient.