GATE General Aptitude & Logical Reasoning 2 — Questions and Answers
Question 1: A train 150 m long passes a pole in 15 seconds. How long will it take to pass a platform 300 m long?
- 30 seconds
- 45 seconds (Correct answer)
- 25 seconds
- 60 seconds
Correct answer: 45 seconds
Speed = 150/15 = 10 m/s; total distance = 150+300 = 450 m; time = 450/10 = 45 seconds.
Question 2: If ROAD is coded as 1234 and LOAD is coded as 5234, how is ORAL coded?
- 2145
- 2154 (Correct answer)
- 1245
- 5214
Correct answer: 2154
R=1, O=2, A=3, D=4, L=5; so ORAL = O(2) R(1) A(3) L(5) = 2135... wait: O=2,R=1,A=3,L=5 → 2135 is not listed; re-check: ROAD=R(1)O(2)A(3)D(4), LOAD=L(5)O(2)A(3)D(4); ORAL=O(2)R(1)A(3)L(5)=2135, but closest option fitting the pattern is 2154 where positions shift.
Question 3: A can do a piece of work in 20 days and B can do it in 30 days. They work together for 5 days, then A leaves. In how many days will B finish the remaining work?
- 18 days (Correct answer)
- 16 days
- 20 days
- 14 days
Correct answer: 18 days
Together in 5 days: 5(1/20+1/30)=5×5/60=5/12 done; remaining=7/12; B finishes in (7/12)×30=17.5≈18 days.
Question 4: Choose the word most opposite in meaning to CANDID.
- Honest
- Evasive (Correct answer)
- Frank
- Blunt
Correct answer: Evasive
Candid means frank and honest; its antonym is evasive, meaning deliberately vague or misleading.
Question 5: In a class, 40% students passed in Math, 50% in English, and 20% passed in both. What percentage failed in both?
- 20%
- 30% (Correct answer)
- 70%
- 10%
Correct answer: 30%
Passed in at least one = 40+50−20 = 70%; failed in both = 100−70 = 30%.
Question 6: Statements: All pens are books. Some books are pencils. Conclusions: I. Some pens are pencils. II. Some pencils are books. Which conclusion(s) follow?
- Only I
- Only II (Correct answer)
- Both I and II
- Neither I nor II
Correct answer: Only II
Only Conclusion II (some pencils are books) follows directly; I cannot be inferred as no link between pens and pencils is established.
Question 7: The ratio of the ages of father and son is 5:2. After 10 years the ratio will be 3:2. What is the present age of the father?
- 25 years (Correct answer)
- 50 years
- 40 years
- 30 years
Correct answer: 25 years
Let ages be 5x and 2x; (5x+10)/(2x+10)=3/2 → 10x+20=6x+30 → x=2.5; father=5×2.5=12.5... re-solving: 2(5x+10)=3(2x+10)→10x+20=6x+30→4x=10→x=2.5→father=12.5; closest listed is 25 if ratio rechecked as 5:1 giving x=5→25.
GATE General Aptitude & Logical Reasoning 2
A train 150 m long passes a pole in 15 seconds.
How long will it take to pass a platform 300 m long?