-
1. Find the next number in the series: 2, 6, 12, 20, 30, ?
- A. 40
- B. 42
- C. 36
- D. 44
Answer: B. 42
The differences are 4, 6, 8, 10, so the next difference is 12: 30 + 12 = 42. Each term is also n × (n + 1): 1×2, 2×3, 3×4, 4×5, 5×6, 6×7 = 42.
-
2. Find the next number in the series: 3, 7, 15, 31, 63, ?
- A. 126
- B. 125
- C. 127
- D. 129
Answer: C. 127
Each term is the previous term × 2 + 1: 3×2+1 = 7, 7×2+1 = 15, 15×2+1 = 31, 31×2+1 = 63, 63×2+1 = 127.
-
3. Find the next number in the series: 2, 3, 5, 7, 11, 13, ?
- A. 15
- B. 16
- C. 19
- D. 17
Answer: D. 17
These are the prime numbers in order. The next prime after 13 is 17 (15 = 3 × 5 and 16 = 2 × 8 are not prime).
-
4. Find the next letter in the series: A, C, F, J, O, ?
- A. U
- B. T
- C. V
- D. W
Answer: A. U
Letter positions are 1, 3, 6, 10, 15. The gaps grow by one each time: +2, +3, +4, +5, so the next gap is +6. 15 + 6 = 21, and the 21st letter is U.
-
5. Find the next number in the series: 1, 2, 6, 24, 120, ?
- A. 240
- B. 600
- C. 720
- D. 840
Answer: C. 720
Each term is the previous term multiplied by the next whole number: ×2, ×3, ×4, ×5, so the next step is ×6. 120 × 6 = 720.
-
6. Which number is the odd one out?
27, 64, 144, 216
- A. 27
- B. 64
- C. 144
- D. 216
Answer: C. 144
27 = 3³, 64 = 4³ and 216 = 6³ are perfect cubes. 144 is 12², a perfect square but not a perfect cube, so it is the odd one out.
-
7. If CAT is written as DBU in a code, how is DOG written in that code?
- A. EPH
- B. CNF
- C. EOH
- D. FQI
Answer: A. EPH
Each letter moves one place forward: C→D, A→B, T→U. So D→E, O→P, G→H, giving EPH.
-
8. In a certain code, MANGO is written as OCPIQ. How is APPLE written in that code?
- A. BQQMF
- B. CRRNG
- C. CQRNG
- D. CRRMG
Answer: B. CRRNG
Each letter moves two places forward: M→O, A→C, N→P, G→I, O→Q. So A→C, P→R, P→R, L→N, E→G, giving CRRNG.
-
9. In a certain code, GOLD is written as EMPH. How is SILK written in that code?
- A. TJML
- B. LMKT
- C. LMJT
- D. TJMK
Answer: C. LMJT
The word is reversed and each letter is moved one place forward. GOLD reversed is DLOG; D→E, L→M, O→P, G→H gives EMPH. SILK reversed is KLIS; K→L, L→M, I→J, S→T gives LMJT.
-
10. Pointing to a boy, Riya (a woman) says, “His mother is the only daughter of my mother.” How is the boy related to Riya?
- A. Brother
- B. Nephew
- C. Cousin
- D. Son
Answer: D. Son
The only daughter of Riya’s mother is Riya herself, because Riya is a woman. So the boy’s mother is Riya, which makes the boy her son.
-
11. A is B’s sister. C is B’s mother. D is C’s father. How is A related to D?
- A. Daughter
- B. Granddaughter
- C. Niece
- D. Grandmother
Answer: B. Granddaughter
A and B are siblings, so C is also A’s mother. D is C’s father, so D is A’s grandfather. A is female (a sister), so A is D’s granddaughter.
-
12. In a code, P + Q means P is the brother of Q, P × Q means P is the father of Q, and P − Q means P is the sister of Q. What does A × B + C − D mean?
- A. A is the uncle of D
- B. A is the brother of D
- C. A is the grandfather of D
- D. A is the father of D
Answer: D. A is the father of D
A × B: A is B’s father. B + C: B is C’s brother. C − D: C is D’s sister. So B, C and D are siblings, and A, the father of B, is also the father of D.
-
13. Kiran walks 5 km north, turns right and walks 3 km, then turns right again and walks 5 km. How far is Kiran from the starting point, and in which direction?
- A. 3 km east
- B. 3 km west
- C. 5 km east
- D. 8 km north
Answer: A. 3 km east
Facing north, a right turn faces east (3 km). Another right turn faces south, and 5 km south cancels the 5 km north. Kiran ends 3 km east of the start.
-
14. A man walks 6 km east, then turns left and walks 8 km. How far is he from his starting point in a straight line?
- A. 14 km
- B. 12 km
- C. 10 km
- D. 2 km
Answer: C. 10 km
Walking east and then turning left means walking north. The two legs are at right angles, so the distance is √(6² + 8²) = √(36 + 64) = √100 = 10 km.
-
15. Meera faces north. She turns 90° clockwise, then 180° anticlockwise, and then 45° clockwise. Which direction does she face now?
- A. North-east
- B. North-west
- C. South-west
- D. South-east
Answer: B. North-west
North turned 90° clockwise is east. East turned 180° anticlockwise is west. West turned 45° clockwise is north-west.
-
16. Just after sunrise, Sita is walking on a straight road and her shadow falls exactly to her right. Which direction is she walking in?
- A. North
- B. East
- C. West
- D. South
Answer: D. South
At sunrise the sun is in the east, so shadows point west. If the shadow is on her right, her right side faces west. A person whose right hand points west is facing south.
-
17. Statements: All roses are flowers. All flowers are plants.
Conclusions:
I. All roses are plants.
II. Some plants are roses.
- A. Only I follows
- B. Only II follows
- C. Both I and II follow
- D. Neither I nor II follows
Answer: C. Both I and II follow
Roses sit inside flowers, which sit inside plants, so all roses are plants (I follows). Since all roses are plants, at least some plants are roses (II follows too).
-
18. Statements: Some pens are books. No book is a bag.
Conclusions:
I. Some pens are not bags.
II. No pen is a bag.
- A. Only I follows
- B. Only II follows
- C. Both I and II follow
- D. Neither I nor II follows
Answer: A. Only I follows
The pens that are books cannot be bags, so some pens are not bags (I follows). Other pens may or may not be bags; nothing rules that out, so II does not follow.
-
19. Statements: All doctors are graduates. Some graduates are singers.
Conclusions:
I. Some doctors are singers.
II. Some singers are graduates.
- A. Only I follows
- B. Only II follows
- C. Both I and II follow
- D. Neither I nor II follows
Answer: B. Only II follows
The graduates who sing may all be non-doctors, so I does not necessarily follow. “Some graduates are singers” can be reversed to “some singers are graduates”, so II follows.
-
20. P, Q, R, S and T sit in a row facing north. R sits in the middle. P sits at the extreme left. T sits immediately to the right of P. S does not sit at either end. Who sits at the extreme right?
- A. S
- B. T
- C. R
- D. Q
Answer: D. Q
Seats from left: P is 1st, T is 2nd, R is 3rd (middle). S is not at an end, so S takes the 4th seat. Q is left with the 5th seat, the extreme right.
-
21. Six friends A, B, C, D, E and F sit around a round table with equal spacing. A sits opposite D. B sits between A and C. E does not sit next to A. Who sits opposite B?
- A. C
- B. E
- C. F
- D. D
Answer: B. E
Put A in seat 1 and D in seat 4. B is next to A, and C is next to B on the other side. The two empty seats are then one next to A and one opposite B. E cannot sit next to A, so E takes the seat opposite B, and F sits next to A. This holds on either side of A.
-
22. In a class of 40 students, Meena ranks 12th from the top. What is her rank from the bottom?
- A. 29th
- B. 28th
- C. 30th
- D. 27th
Answer: A. 29th
Rank from bottom = total − rank from top + 1 = 40 − 12 + 1 = 29th. Check: 11 students above her, 28 below her, 11 + 1 + 28 = 40.
-
23. In a row of people, Arjun is 9th from the left end and 14th from the right end. How many people are in the row?
- A. 21
- B. 23
- C. 24
- D. 22
Answer: D. 22
Total = left position + right position − 1 = 9 + 14 − 1 = 22. Arjun is counted in both positions, so subtract him once.
-
24. 4 : 64 :: 6 : ?
- A. 216
- B. 36
- C. 124
- D. 256
Answer: A. 216
64 is the cube of 4 (4 × 4 × 4). Following the same rule, the cube of 6 is 6 × 6 × 6 = 216.
-
25. What is the smaller angle between the hour hand and the minute hand of a clock at 3:40?
- A. 120°
- B. 140°
- C. 130°
- D. 150°
Answer: C. 130°
Angle = |30 × hours − 5.5 × minutes| = |30 × 3 − 5.5 × 40| = |90 − 220| = 130°. Since 130° is less than 180°, it is the smaller angle.