Logical Reasoning
MCQs — 10 Questions
(+2 / -1)
1
Alphabet Series
Easy
Look at the row of balloons. Each balloon shows a letter, and the letters follow a pattern. Which letter comes in place of the '?'
A
K
B
L
C
M
D
J
Show answer
Answer: B
The balloons show C, F, I, ?, O. Starting from C (the 3rd letter), each balloon jumps 3 places ahead in the alphabet: C(3) -> F(6) -> I(9) -> ?(12) -> O(15). The letter in the 12th position of the alphabet is L, so the missing letter is L.
2
Figure Matching
Easy
Which of the following figures is EXACTLY THE SAME as the given figure?
Show answer
Answer: A
In the given umbrella, the pointed tip at the top is red and the curved handle at the bottom is blue. Option A shows the exact same umbrella with the tip red and the handle blue. Option B swaps the colours (tip blue, handle red). Option C keeps the tip red but colours a middle rib blue instead of the handle. Option D changes the tip to green instead of red. Only option A matches the given figure exactly.
3
Embedded Figures
Medium
A flag is cut by one straight line, as shown in the figure. Which of the following shapes is exactly embedded in the flag as one of its parts?
Show answer
Answer: A
The straight line inside the flag cuts off a small triangle near the pointed end (shown shaded in the figure) whose flat side is on the left and whose point faces the right. Option A shows exactly this triangle. Option B is its mirror image pointing left, option C points upward, and option D is a trapezoid with flat top and bottom edges. None of these appear inside the flag except option A, so A is correct.
4
Weight Comparison
Easy
A chair is shown below. Which of the following is HEAVIER than the chair?
Show answer
Answer: C
A cushion, a paperclip and a balloon are all much lighter than a wooden chair. A refrigerator is a large, heavy kitchen appliance, much heavier than a chair. So the refrigerator is the correct answer.
5
Number Grid
Medium
Find the missing number if a certain rule is followed row-wise in the grid below.
A
6
B
7
C
8
D
9
Show answer
Answer: B
In each row, the three numbers add up to 15. Row 1: 4+5+6=15. Row 2: 7+3+5=15. Row 3: 2+6+? = 15, so ? = 15-8 = 7.
6
Corners & Shapes
Easy
Which of the following has the MAXIMUM number of corners?
Show answer
Answer: D
An orange is round and has 0 corners. A triangular sandwich has 3 corners. A book (rectangle shape) has 4 corners. A stop sign is shaped like an octagon and has 8 corners, which is the most among all four objects. So the stop sign has the maximum number of corners.
7
Coding-Decoding
Hard
If a Cat is called a Dog, a Dog is called a Rabbit, a Rabbit is called a Duck, and a Duck is called a Frog, then which of the following is a bird?
Show answer
Answer: D
Among Cat, Dog, Rabbit, Duck and Frog, the only real bird is the Duck. Following the chain of renaming, the real Duck is now called 'Frog' (because 'a Duck is called a Frog'). So the animal that is truly a bird is the one now known by the name Frog, which is option D.
8
Figure Analogy
Medium
There is a relationship between the pair of figures on the left side of :: . Identify the relation and find the missing figure that completes the same relationship on the right side.
Show answer
Answer: A
A big triangle breaks into 4 small triangles of the same shape, arranged in a 2x2 pattern. Following the same rule, a big square should break into 4 small squares arranged in a 2x2 pattern, as shown in option A. Option B shows triangles instead of squares, option C shows only one square instead of four, and option D shows circles instead of squares. So option A is correct.
9
Ranking & Position
Medium
Nine identical birds A, B, C, D, E, F, G, H and I are standing in a row as shown, with A at the left end. If C and G are removed from the row, then _____ is 4th from the left end.
A
D
B
E
C
F
D
H
Show answer
Answer: B
The original order from the left is A, B, C, D, E, F, G, H, I. Removing C and G leaves A, B, D, E, F, H, I. Counting from the left end: A is 1st, B is 2nd, D is 3rd, and E is 4th. So E is 4th from the left end.
10
Grouping / Division
Easy
_____ groups of 3 apples each can be formed from the apples shown below.
A
3
B
4
C
5
D
6
Show answer
Answer: B
There are 6 apples in the top row and 6 apples in the bottom row, making 12 apples in all. Dividing 12 apples into groups of 3 gives 12 divided by 3 = 4 groups.
Mathematical Reasoning
MCQs — 10 Questions
(+2 / -1)
11
Clock — slow/fast time correction
Medium
The clock shown below is 15 minutes fast. What is the correct time?
A
Quarter to 7
B
Quarter past 7
C
Half past 6
D
7 o'clock
Show answer
Answer: A
The clock shows 7 o'clock (hour hand exactly at 7, minute hand at 12). Since the clock is 15 minutes fast, the correct (actual) time is 15 minutes earlier than 7:00, which is 6:45, also called 'Quarter to 7'.
12
3-digit numbers — identifying the odd one out by place value
Medium
The screen of a gadget shows a collection of numbers. Which of the following does NOT belong to this collection?
A
Four hundred thirty-one
B
Five hundred thirty-eight
C
Four hundred nineteen
D
Four hundred twenty-seven
Show answer
Answer: B
The gadget shows 423, 431, 419, 538, 427 and 435. Every number has 4 hundreds except 538, which has 5 hundreds. So 538 (Five hundred thirty-eight) does not belong to the collection.
13
Reading thermometers — comparing temperatures
Easy
Which of the following thermometers shows the LEAST temperature?
Show answer
Answer: D
The thermometers show 35°C, 20°C, 45°C and 10°C. Comparing all four readings, 10°C is the smallest value, so thermometer D shows the least temperature.
14
Counting slanting lines in a figure
Medium
The number of slanting lines in the given figure is _____.
A
3
B
4
C
5
D
None of these
Show answer
Answer: B
The rocket figure is made up of 2 vertical lines (the sides of the body), 2 horizontal lines (the base of the rocket and the ground), and 4 slanting lines: the two edges of the nose cone and the two fins. The round window is a curve, not a line. So the number of slanting lines is 4.
15
Comparing weights using a balance
Hard
In the first balance, an apple is lighter than a book. In the second balance, a book is lighter than a bag. Arrange the apple, book and bag from lightest to heaviest and select the correct option.
Show answer
Answer: A
From the first balance: apple < book. From the second balance: book < bag. Combining both clues: apple < book < bag. So the correct order from lightest to heaviest is apple, book, bag, which is option A.
16
Comparing place-value expressions
Medium
Compare and fill in the box using >, < or =: (3 hundreds 4 tens 5 ones + 2 tens 6 ones) ___ (8 hundreds 1 ten 2 ones − 4 hundreds 2 tens)
A
>
B
<
C
=
D
Can't be determined
Show answer
Answer: B
Left side: 3 hundreds 4 tens 5 ones = 345; plus 2 tens 6 ones (26) = 345 + 26 = 371. Right side: 8 hundreds 1 ten 2 ones = 812; minus 4 hundreds 2 tens (420) = 812 − 420 = 392. Since 371 is less than 392, the correct sign is '<'.
17
Greatest and smallest 3-digit numbers — sum
Medium
Four balloons are shown below, each labelled with a number. The sum of the greatest and the smallest numbers on the balloons is _____.
A
811
B
887
C
1018
D
472
Show answer
Answer: A
The balloons show 274, 613, 198 and 405. The greatest number is 613 and the smallest number is 198. Their sum is 613 + 198 = 811.
18
Money — cost of multiple items
Medium
If the cost of one pencil is ₹8, find the cost of 6 such pencils. Choose the option that shows the correct total amount of money using notes and coins.
Show answer
Answer: A
Cost of 6 pencils = 8 × 6 = ₹48. Option A shows ₹20 + ₹20 + ₹5 + ₹2 + ₹1 = ₹48, which is the correct amount. (Option B totals ₹50, option C totals ₹40, and option D totals ₹45 — all incorrect.)
19
Pictograph — finding the minimum value
Medium
The pictograph below shows the number of apples sold by a fruit seller each day of the week. On which day was the minimum number of apples sold?
A
Wednesday
B
Friday
C
Monday
D
Thursday
Show answer
Answer: B
Using the pictograph (each apple picture = 5 apples sold): Monday = 3 × 5 = 15, Tuesday = 5 × 5 = 25, Wednesday = 2 × 5 = 10, Thursday = 4 × 5 = 20, Friday = 1 × 5 = 5. The smallest value is 5, on Friday.
20
Pictograph — sum across categories
Medium
Using the same pictograph, how many apples were sold on Monday, Wednesday and Friday altogether?
A
30
B
35
C
25
D
45
Show answer
Answer: A
Monday = 15 apples, Wednesday = 10 apples, Friday = 5 apples (each picture represents 5 apples). Adding them: 15 + 10 + 5 = 30.
Everyday Mathematics
MCQs — 10 Questions
(+4)
21
Equal sharing (division)
Easy
Meera has 20 pencils. She puts the pencils into 4 identical pencil boxes equally, as shown below. How many pencils will be in each box?
A
4
B
5
C
6
D
8
Show answer
Answer: B
Meera shares 20 pencils equally among 4 boxes: 20 ÷ 4 = 5. So each box gets 5 pencils.
22
Capacity (addition of volumes)
Easy
Rohan bought two water bottles as shown below. What is the total capacity of both bottles?
A
500 mL
B
550 mL
C
600 mL
D
650 mL
Show answer
Answer: C
Bottle A holds 250 mL and Bottle B holds 350 mL. Total capacity = 250 + 350 = 600 mL.
23
Nets of 3D solids
Medium
Aarav has 6 identical square-shaped cardboard cuttings, all of the same size. Which of the following solids can he make by joining all of them edge to edge?
A
Cone
B
Cylinder
C
Cube
D
Sphere
Show answer
Answer: C
A cube has exactly 6 identical square faces. Joining 6 equal squares edge to edge (as its net) forms a cube. A cone, cylinder and sphere all have curved surfaces and cannot be made only from flat squares.
24
Clock time and duration
Medium
Kavya left home at the time shown in the clock. She waited 15 minutes at the bus stop for her school bus, and then the bus took 1 hour to reach school. At what time did she arrive at school?
A
9:15
B
10:00
C
10:15
D
10:45
Show answer
Answer: C
The clock shows 9:00. After waiting 15 minutes, the time becomes 9:15. The bus then takes 1 hour to reach school: 9:15 + 1 hour = 10:15.
25
Subtraction word problem
Easy
At a sports day, there are 50 students in total, out of which 32 are in the Red team and the rest are in the Blue team. Find the number of students in the Blue team.
A
17
B
18
C
22
D
28
Show answer
Answer: B
Total students = 50, Red team = 32. Blue team = 50 − 32 = 18.
26
Subtraction word problem (length)
Easy
Priya cut a 48 cm long ribbon into two parts. If the length of one part is 27 cm, what is the length of the other part?
A
19 cm
B
20 cm
C
21 cm
D
25 cm
Show answer
Answer: C
Total length of ribbon = 48 cm. One part = 27 cm. Other part = 48 − 27 = 21 cm.
27
Greatest number formation
Medium
Riya has 3 number cards as shown below. She forms the greatest 4-digit number using these three digits, using each digit at least once. Find the number formed.
A
7742
B
7724
C
7442
D
4772
Show answer
Answer: A
The cards show 7, 4 and 2. To form the greatest 4-digit number using all three digits at least once, we have one extra digit to place, so we repeat the largest digit (7) and arrange all digits in descending order: 7, 7, 4, 2 → 7742.
28
Money (subtraction)
Easy
Aditya went shopping with ₹500. He bought a toy car that costs ₹180 and a storybook that costs ₹95. How much money is left with him?
A
₹215
B
₹225
C
₹235
D
₹245
Show answer
Answer: B
Total spent = ₹180 + ₹95 = ₹275. Money left = ₹500 − ₹275 = ₹225.
29
Number range and place value
Medium
The number of birds sitting in a park is more than 40 but less than 70. Also, it has 5 in the tens place. Which of the following can be the number?
A
34
B
58
C
65
D
73
Show answer
Answer: B
The number must be more than 40 and less than 70, so it lies between 41 and 69. It must also have 5 in the tens place, meaning it is between 50 and 59. Checking the options: 34 is too small and has 3 in the tens place; 65 has 6 in the tens place; 73 is outside the range and has 7 in the tens place. Only 58 satisfies both conditions.
30
Arithmetic sequence (temperature)
Medium
On Monday, the temperature of a certain place was 18°C, which decreases by 3°C every next day. What was the temperature of the same place on Wednesday?
A
9°C
B
12°C
C
15°C
D
21°C
Show answer
Answer: B
Monday = 18°C. Tuesday = 18 − 3 = 15°C. Wednesday = 15 − 3 = 12°C.
Achievers Section
MCQs — 5 Questions
(+5)
31
simultaneous-values (word problem)
Hard
Ravi went to a stationery shop and noted down the combined cost of some items:
• 1 crayon box + 1 tiffin box together cost ₹60
• 1 tiffin box + 1 water bottle together cost ₹55
• 1 water bottle + 1 crayon box together cost ₹45
What is the cost of 1 water bottle + 2 tiffin boxes?
A
₹90
B
₹85
C
₹95
D
₹80
Show answer
Answer: A
Let C = crayon box, T = tiffin box, W = water bottle.
C + T = 60 ... (1)
T + W = 55 ... (2)
W + C = 45 ... (3)
Adding all three: 2(C + T + W) = 60 + 55 + 45 = 160, so C + T + W = 80.
W = 80 − (C + T) = 80 − 60 = 20
C = 80 − (T + W) = 80 − 55 = 25
T = 80 − (W + C) = 80 − 45 = 35
Check: C+T=25+35=60 ✓, T+W=35+20=55 ✓, W+C=20+25=45 ✓.
1 water bottle + 2 tiffin boxes = 20 + 2×35 = 20 + 70 = ₹90.
32
place value / expanded form / ordering numbers (true-false)
Hard
Read the given statements carefully and state T for true and F for false.
(a) The place value of the digit 7 in the number 574 is 70.
(b) The expanded form of 308 is 300 + 80 + 0.
(c) 456 is smaller than 465.
(p) (q) (r)
(a) (b) (c)
A
T, F, T
B
F, T, F
C
T, T, F
D
F, F, T
Show answer
Answer: A
(a) In 574, the digit 7 is in the tens place, so its place value = 7 × 10 = 70. This statement is TRUE.
(b) The correct expanded form of 308 is 300 + 0 + 8 (tens digit is 0, ones digit is 8), not 300 + 80 + 0. This statement is FALSE.
(c) Comparing hundreds (4=4), then tens (5<6), so 456 < 465. This statement is TRUE.
So (p)=T, (q)=F, (r)=T, which matches option A.
33
abacus / place value
Hard
The given picture shows two abacuses, X and Y, with beads on the Hundreds (H), Tens (T) and Ones (O) rods. Study them carefully and answer the following.
(p) What is the difference between the number shown on abacus X and the number shown on abacus Y?
(q) If the number of beads at the Hundreds place and the Tens place on abacus X are interchanged, what is the sum of this new number and the original number shown on abacus X?
A
(p) 106, (q) 884
B
(p) 106, (q) 785
C
(p) 116, (q) 884
D
(p) 96, (q) 794
Show answer
Answer: A
Abacus X has 3 beads on H, 5 beads on T, 2 beads on O, so it shows the number 352.
Abacus Y has 2 beads on H, 4 beads on T, 6 beads on O, so it shows the number 246.
(p) Difference = 352 − 246 = 106.
(q) Interchanging the beads at the Hundreds (3) and Tens (5) places on abacus X gives 5 beads on H and 3 beads on T, i.e. the new number is 532.
Sum of new number and original number on X = 532 + 352 = 884.
34
properties of 2D/3D shapes
Hard
Fill in the blanks and select the CORRECT option.
(p) The shape shown in figure (p) has ___ corners (vertices).
(q) The shape shown in figure (q) has ___ sides.
(r) The net shown in figure (r) is made of 6 equal squares. When folded, it forms a ___.
A
5, 6, Cube
B
5, 5, Cube
C
4, 6, Cuboid
D
6, 6, Cube
Show answer
Answer: A
(p) The shape in figure (p) is a pentagon, which has 5 corners (vertices).
(q) The shape in figure (q) is a hexagon, which has 6 sides.
(r) A net made of 6 equal squares arranged in this cross-like pattern folds up to form a Cube (a cuboid would need rectangular faces of more than one size, not 6 equal squares).
So (p)=5, (q)=6, (r)=Cube, which matches option A.
35
map / route distances
Hard
Meena went from Home to the Park via Route 1 and returned via Route 2, as shown in the given network of paths (all distances are in km).
Route 1: Home → A → B → Park
Route 2: Park → C → Home
How much MORE distance did she travel using Route 2 than Route 1?
A
4 km more
B
4 km less
C
6 km more
D
2 km more
Show answer
Answer: A
Route 1: Home → A (6 km) → B (8 km) → Park (5 km) = 6 + 8 + 5 = 19 km.
Route 2: Park → C (9 km) → Home (14 km) = 9 + 14 = 23 km.
Route 2 − Route 1 = 23 − 19 = 4 km.
So she travelled 4 km more using Route 2 than Route 1. (The D-A, D-Home and D-C paths shown are extra connecting paths, not part of either route.)