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- Question
How many rectangles can be drawn with 36 cm as the perimeter, given that the sides are positive integers in cm?
Options- A. 8
- B. 9
- C. 10
- D. 11
- Correct Answer
- 9
ExplanationPerimeter = 36
? 2 ( l + w ) = 36
? l + w = 18
Since length and width are positive integers in centimeters.Therefore, possible dimensions are :
( 1, 17 )cm , ( 2, 16 ) cm , ( 3, 15 ) cm, (4 , 14) cm, ( 5,13) cm, ( 6, 12) cm , ( 7, 11) cm, ( 8, 10 ) cm, ( 9, 9) cm.
Hence, there are 9 rectangles. - 1. If A $ B means B is the father of A; A # B means B is the mother of A; A * B means B is the sister of A and A @ B means B is the husband of A, which of the following indicates that N is the grandmother of P?
Options- A. P * Q # M $ N
- B. P @ Q $ M # N
- C. P # Q $ N * M
- D. None of these Discuss
- 2. Statement:
Some doors are handles. All handles are pins. Some pins are threats. All threats are clothes.
Conclusions:
I. Some cloths are pins.
II. Some pins are doors.
III. Some clothes are handles.
IV. Some clothes are doors.
Options- A. Only II and III follow
- B. Only I, II and IV follow
- C. Only II, III and IV follow
- D. All follow Discuss
- 3. Statement:
Some roses are flowers. Some flowers are buds. All buds are leaves. All leaves are plants.
Conclusions:
I. Some plants are flowers.
II. Some roses are buds.
III. No leaves are roses.
IV. No roses are buds.
Options- A. Only I follows
- B. Only I & II follows
- C. Only I and either II or IV follows
- D. Only either II and IV follows Discuss
- 4. Assertion (A):
Large commercial vehicles passing through a city cause pollution and are required to pay entry tax.
Reason (R):
Money is needed to clean the environment.
Options- A. Both (A) and (R) are true, and (R) is the correct explanation of (A).
- B. Both (A) and (R) are true, but (R) is not the correct explanation of (A).
- C. (A) is true, but (R) is false.
- D. (A) is false, but (R) is true. Discuss
- 5. Statement:
No civilised state today can deliberately violate the international declarations and conventions and covenants relating to the minorities.
Assumptions:
I. All civilised states enforce the international declarations, covenants and covenants equally.
II. Minorities all over the world should be given protection by the concerned governments.
Options- A. if only assumption I is implicit.
- B. if only assumption II is implicit.
- C. if either I or II is implicit.
- D. if neither I nor II is implicit. Discuss
- 6. NA
Options- A. 143
- B. 257
- C. 195
- D. 15 Discuss
- 7. If A + B means A is the brother of B; A - B means A is the sister of B and A x B means A is the father of B. Which of the following means that C is the son of M?
Options- A. M - N x C + F
- B. F - C + N x M
- C. N + M - F x C
- D. M x N - C + F Discuss
- 8. Statement:
There are lessons to be learnt even in defeats.
Assumptions:
I. Some people do not take their defeats seriously.
II. The people who learn in their defeat may become successful in future.
Options- A. if only assumption I is implicit.
- B. if only assumption II is implicit.
- C. if either I or II is implicit.
- D. if neither I nor II is implicit. Discuss
- 9. You are a sincere and dedicated manager in a reputed five star hotel. You have been appointed as the Chief Manager of the Guwahati branch which needs to be developed. Your salary has been hiked.
Options- A. You give it a shot for two months and see how it goes
- B. You accept the challenge and go ahead with the project
- C. You accept another offer and leave the job
- D. You crib for limited resources and try to convince the superior to send somebody else instead of you Discuss
- 10. Pointing to Varman, Madhav said, "I am the only son of one of the sons of his father." How is Varman related to Madhav?
Options- A. Nephew
- B. Uncle
- C. Father or Uncle
- D. Father Discuss
More questions
Correct Answer: None of these
Correct Answer:
Explanation:
Some pins are threats + All threats are clothes = I + A = I = Some pins are clothes ? conversion ? Some clothes are pins (I) Hence I follows. Some doors are handles + All handles are pins = I + A = I = Some doors are pins ? conversion ? Some pins are doors (I) Hence II follows. All handles are pins + Some pins are clothes = I + A = No conclusion Hence III does not follow. Nor does IV follow consequently.
Correct Answer: Only I and either II or IV follows
Explanation:
Some flowers are buds + All buds are leaves + All leaves are plants = (I + A) + A = I = Some flowers are plants ? conversion ? Some plants are flowers (I). Hence I followers. Some roses are flowers + Some flowers are buds = I + I = No conclusion Hence II and IV do not follow by combination. Nor can III follow. However, II and IV form a complementary I-E pair, Hence either II or IV follows.
Correct Answer: Both (A) and (R) are true, but (R) is not the correct explanation of (A).
Explanation:
Money is levied to discourage commercial vehicles to enter the city .
Correct Answer: if only assumption II is implicit.
Explanation:
I may have a broad range. Hence it is not implicit. II can be assumed from the statement.
Correct Answer: 15
Explanation:
143 ? 122 - 1,257 ? 162 + 1, 195 ? 142 - 1, 15 ? 42 - 1,
Hence, '257' is odd one.
Correct Answer: M x N - C + F
Explanation:
N - C ? N is the sister of C
and C + F ? C is the brother of F.
Hence, M is the father of C or C is the son of M.
Correct Answer: if only assumption II is implicit.
Explanation:
Taking defeat seriously and taking lesson from the defeat are two different matters. Hence I is not implicit. Why do we need to take lesson from our defeat? The answer clearly is to be successful in future. Hence II is implicit.
Correct Answer: You accept the challenge and go ahead with the project
Explanation:
As you are a sincere and dedicated manager, you must be committed to the work which is assigned to you. So, you must have to accept the challenge and go ahead with the project.
Correct Answer: Father or Uncle
Explanation:
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