66. A man has some hens and cows. If the number of heads is 48 and the number of feet is 140, then the number of hens will be—
Options:
22
23
24
26
Answer: The correct answer is (4) 26.
Solution: Let the number of hens be hhh and the number of cows be ccc.
Total heads equation: h+c=48 (since each animal has one head).
Total feet equation: 2h+4c=140 (hens have 2 feet, cows have 4 feet).
Now, solve the system of equations:
From equation 1: c=48−h
Substitute into equation 2:
2h+4(48−h)=140
Simplifying:
2h+192−4h=140
Answer: The correct answer is (4) 26.
67. All oranges are bananas. No banana is fruit.
Conclusions:
Some bananas are oranges.
No fruit is banana.
All oranges are fruits.
Some fruits are oranges.
Options:
Only conclusion (c) and (d) follow
Only conclusion (a) and (b) follow
Only conclusion (a) and (c) follow
None of the above
Answer: 2. The correct answer is (2) Only conclusion (a) and (b) follow.
Solution: Let’s analyze the statements:
Statement 1 says all oranges are bananas. So, this is true for conclusion (a).
Statement 2 says no banana is fruit. This implies that no oranges are fruit either. Therefore, conclusions (b) and (c) are not valid, and conclusion (d) does not follow.
Answer: The correct answer is (2) Only conclusion (a) and (b) follow.
68. Five boys are sitting on a bench near the college auditorium to be photographed after a skit. Shyamlal is to the left of Rajesh and to the right of Bimal. Madhu is to the right of Rajesh. Ritesh is between Rajesh and Madhu. Who is sitting immediate right to Ritesh?
Options:
Madhu
Rajesh
Bimal
Shyamlal
Answer: The correct answer is (1) Madhu.
Solution: From the given statements:
Shyamlal is to the left of Rajesh and to the right of Bimal.
Madhu is to the right of Rajesh.
Ritesh is between Rajesh and Madhu.
The correct order from left to right is Bimal, Shyamlal, Rajesh, Ritesh, Madhu. Hence, the immediate right to Ritesh is Madhu.
Answer: The correct answer is (1) Madhu.
Directions: Read the following passage and each group of four statements given below contains one statement which is most acceptable in the light of the passage and answer the questions 69 to 71.
When I go into a stranger’s library I round the bookshelves to learn what sort of a person the stranger is and when he comes in I feel that I know the key to his mind and the range of his interests. A house without books is a characterless house, no matter how rich the Persian rugs only tell you whether he has got money, but the books tell you, whether he has got a mind as well. It is not a question of money that we don’t buy books. I repeat that the books are the cheapest as well as the best part of the equipment of a house. You can begin your ‘library’ with the expenditure of a few dollars. Nearly all the best literature in the world is at your command at two dollars a volume. For 100 dollars you can get a library of fifty books. Even if you don’t read them yourself, they are a priceless investment for your children. What delight is there like the revelation of books for the sudden impact of a master-spirit, the sense of window flung wide open to the universe? It is the adventures of mind; the joy of which does not pass away, that give the adventure of life itself, beauty and fragrance.
69. What do the books tell you about a stranger?
That he is a rich man.
That he believes in the priceless investments.
That he has good mental faculty.
That he motivates others to read books.
Answer: 3. That he has good mental faculty.
70. When one reads a good book, one is delighted because—
One finds the windows of the library opened.
One feels the influence of a great writer.
One knows much about the universe.
One gets all material comforts.
Answer: 2. One feels the influence of a great writer.
71. The word ‘master-spirit’ in the passage means—
A prominent writer.
The spiritual effect of a ‘master.’
One who has control over the spirit of a man.
One who has had too many rugs.
Answer: The correct answer is (1) A prominent writer.
Explanation: The passage describes the profound impact that reading the work of a great writer (a ‘master-spirit’) can have on a reader, enriching their life and perspective.
Directions: Read the following passage and each group of four statements given below contains one statement which is most acceptable in the light of the passage and answer the questions 72 to 75.