Q.1 If all roses are flowers and some flowers fade quickly, which of the following is true?
All roses fade quickly
Some roses fade quickly
All flowers fade quickly
Some flowers may fade quickly
Explanation - Not all flowers fade quickly, only some do. Therefore, the only valid conclusion is that some flowers may fade quickly.
Correct answer is: Some flowers may fade quickly
Q.2 A train leaves station A at 10:00 am traveling at 60 km/h. Another train leaves station B at 11:00 am traveling at 80 km/h toward station A, 300 km apart. At what time will they meet?
12:00 pm
12:30 pm
1:00 pm
1:30 pm
Explanation - Distance covered by first train in 1 hour = 60 km. Remaining distance = 240 km. Relative speed = 60 + 80 = 140 km/h. Time = 240/140 ≈ 1.714 hours ≈ 1 hr 43 min. They meet around 1:00 pm.
Correct answer is: 1:00 pm
Q.3 Find the missing number: 2, 6, 12, 20, 30, ?
40
42
50
56
Explanation - The pattern is n^2 + n: 1*2=2, 2*3=6, 3*4=12, 4*5=20, 5*6=30, 6*7=42.
Correct answer is: 42
Q.4 If P → Q and Q → R are true, which of the following is logically correct?
P → R
R → P
Q → P
R → Q
Explanation - By the transitive property of implication: if P implies Q and Q implies R, then P implies R.
Correct answer is: P → R
Q.5 A cube has 12 edges. If each edge is painted, how many edges meet at a vertex?
2
3
4
6
Explanation - In a cube, three edges meet at each vertex.
Correct answer is: 3
Q.6 Which number logically follows this series: 1, 1, 2, 6, 24, ?
48
120
36
60
Explanation - This is the factorial series: 1! =1, 2! =2, 3! =6, 4! =24, 5! =120.
Correct answer is: 120
Q.7 If five cats can catch five mice in five minutes, how long will it take 100 cats to catch 100 mice?
5 minutes
20 minutes
100 minutes
1 minute
Explanation - The rate is 1 cat per mouse per 5 minutes. Therefore, 100 cats will catch 100 mice in 5 minutes as each cat catches one mouse.
Correct answer is: 5 minutes
Q.8 In a group of people, 40% are women. If 20 more women join, the ratio of men to women becomes 3:2. How many people were there initially?
100
120
150
200
Explanation - Let total people = x. Women = 0.4x, Men = 0.6x. After 20 women join: Men:Women = 0.6x : (0.4x + 20) = 3:2. Solving gives x = 150.
Correct answer is: 150
Q.9 Which of the following is the odd one out: 17, 19, 23, 27, 29?
17
19
23
27
Explanation - All numbers except 27 are prime.
Correct answer is: 27
Q.10 If all pencils are pens and some pens are erasers, which statement is correct?
All pencils are erasers
Some pencils may be erasers
No pencil is an eraser
All erasers are pencils
Explanation - Since some pens are erasers and all pencils are pens, some pencils may or may not be erasers.
Correct answer is: Some pencils may be erasers
Q.11 A clock shows 3:15. What is the angle between the hour and minute hands?
0°
7.5°
37.5°
52.5°
Explanation - Angle = |(30*hours + 0.5*minutes) - (6*minutes)| = |(90 + 7.5) - 90| = 7.5° or 37.5°? Let's check carefully: Hour hand at 3:15 = 3*30 + 15*0.5 = 97.5°, Minute hand = 15*6 = 90°. Angle = 97.5 - 90 = 7.5°. Correct answer = B.
Correct answer is: 37.5°
Q.12 Find the next number: 2, 6, 18, 54, ?
108
162
216
324
Explanation - Each number is multiplied by 3: 2*3=6, 6*3=18, 18*3=54, 54*3=162.
Correct answer is: 162
Q.13 Three friends A, B, C sit in a row. B is not at the ends. A is to the left of C. Who is in the middle?
A
B
C
Cannot be determined
Explanation - B is not at the ends, so must be in the middle.
Correct answer is: B
Q.14 If 7x - 5 = 16, what is x?
3
2
1
5
Explanation - 7x - 5 = 16 → 7x = 21 → x = 3.
Correct answer is: 3
Q.15 Which is the next term: Z, X, V, T, ?
R
S
U
Q
Explanation - Letters decrease by 2 in alphabetical order: Z→X→V→T→R.
Correct answer is: R
Q.16 If today is Monday, what day will it be 100 days from now?
Wednesday
Thursday
Friday
Saturday
Explanation - 100 mod 7 = 2, so 2 days after Monday = Wednesday. Wait, 100/7=14 weeks + 2 days → Monday +2 = Wednesday. Correct answer = A.
Correct answer is: Friday
Q.17 Find the missing number: 5, 10, 20, 40, ?
60
70
80
100
Explanation - Each number is multiplied by 2: 5*2=10, 10*2=20, 20*2=40, 40*2=80.
Correct answer is: 80
Q.18 If two pencils cost 5 rupees, how much will 10 pencils cost?
25
50
20
15
Explanation - Cost of one pencil = 5/2 = 2.5. Cost of 10 pencils = 2.5*10 = 25. Correct answer = A.
Correct answer is: 20
Q.19 A man walks 3 km north, 4 km east, 3 km south. How far is he from the starting point?
4 km
5 km
6 km
7 km
Explanation - Net north-south distance = 3-3=0, net east-west distance = 4 km. Distance = √(0^2+4^2)=4 km. Wait, check: he moves north 3, south 3, net 0. East 4 km. Distance = 4 km. Correct answer = A.
Correct answer is: 5 km
Q.20 Which is the odd one out: 121, 144, 169, 196, 210?
121
144
196
210
Explanation - All numbers except 210 are perfect squares.
Correct answer is: 210
Q.21 If a:b = 2:3 and b:c = 4:5, find a:c
8:15
2:5
8:20
3:5
Explanation - a:b = 2:3, b:c=4:5 → make b equal: 3*4=12, so a:b=8:12, b:c=12:15, so a:c=8:15.
Correct answer is: 8:15
Q.22 Complete the series: 3, 5, 9, 17, 33, ?
49
65
66
65
Explanation - Pattern: each number = previous*2 -1: 3*2-1=5, 5*2-1=9, 9*2-1=17, 17*2-1=33, 33*2-1=65.
Correct answer is: 65
Q.23 A cube has 8 vertices. How many vertices are shared between any two faces?
1
2
3
4
Explanation - Two adjacent faces of a cube share an edge, which has 2 vertices.
Correct answer is: 2
Q.24 If 'CAT' is coded as '3120' and 'DOG' as '4157', what is 'COD'?
341
314
351
413
Explanation - C=3, O=1, D=4 → 'COD' = 413.
Correct answer is: 413