1
direction-sense
medium
Meera is facing the Library. She turns 1/4 of a full turn towards her right and then makes a 3/4 turn towards her left. What will she be facing now?
A
Cafe
B
Park
C
Museum
D
Temple
Show answer
Answer: B
A 1/4 turn to the right is 90° clockwise. A 3/4 turn to the left is 270° counter-clockwise, which lands on the same spot as 90° clockwise (360°-270°=90°). So the two turns together equal 90°+90°=180° clockwise from the Library — the position directly opposite it, which is Park.
2
calendar
medium
If the day after tomorrow is Friday, what day of the week was it 12 days before yesterday?
A
Wednesday
B
Thursday
C
Saturday
D
Sunday
Show answer
Answer: B
Day after tomorrow is Friday, so today is Wednesday and yesterday was Tuesday. 12 days before Tuesday: since the week repeats every 7 days, 12 mod 7 = 5 days back from Tuesday. Counting back 5 days from Tuesday: Monday, Sunday, Saturday, Friday, Thursday. So it was Thursday.
3
symmetry
easy
How many of the letters in the word MOUNTAIN have at least one line of symmetry?
A
5
B
6
C
7
D
8
Show answer
Answer: B
M, O, U, T, A, I each have at least one line of symmetry (6 letters). N (appearing twice) has no line of symmetry. So 6 out of the 8 letters have at least one line of symmetry.
4
number-patterns
medium
Find the missing number in the given number pattern.
310 335 355 380 ? 425 445
Show answer
Answer: 400
The differences alternate between +25 and +20: 310→335 (+25), 335→355 (+20), 355→380 (+25), so the next difference should be +20: 380+20=400. Checking onward: 400→425 (+25) and 425→445 (+20), which matches the pattern. The missing number is 400.
5
coding-decoding
hard
If all the digits which are multiples of 3 are removed from the given arrangement, then ___ will be the 3rd element to the right of the 4th element from the left end.
4 7 @ 9 2 # 6 Z 1 © 3 Y 8 *
A
Z
B
©
C
1
D
8
Show answer
Answer: C
The digits that are multiples of 3 are 9, 6 and 3. Removing them leaves: 4 7 @ 2 # Z 1 © Y 8 *. The 4th element from the left end is '2'. Counting 3 elements to the right of '2': #(1st), Z(2nd), 1(3rd). So the answer is 1.
6
classification
medium
Select the odd one out.
A
Figure A
B
Figure B
C
Figure C
D
Figure D
Show answer
Answer: C
In figures A, B and D, the outer shape contains a smaller shape of a different type inside it. In figure C, a triangle contains a smaller triangle of the same type — so figure C is the odd one out.
7
mirror-image
medium
Select the CORRECT mirror image of the given figure about the dashed mirror line.
A
Figure A
B
Figure B
C
Figure C
D
Figure D
Show answer
Answer: B
In a correct mirror image about a vertical line, every part of the figure flips left-to-right: the flag that pointed right now points left, and the foot-circle that was on the left now appears on the right. Only option B shows this complete left-right flip; the other options either keep the flag's direction unchanged or flip only part of the figure.
8
word-formation
medium
Which of the following words CANNOT be formed using the letters of the given word?
BEAUTIFUL
A
TABLE
B
FUEL
C
BRIEF
D
FLUTE
Show answer
Answer: C
BEAUTIFUL contains the letters B, E, A, U, T, I, F, L (U appears twice). TABLE, FUEL and FLUTE can all be formed from these letters. BRIEF needs the letter R, which does not appear anywhere in BEAUTIFUL, so BRIEF cannot be formed.
9
embedded-figures
hard
The given figure is a rectangle with both its diagonals drawn. Select the option that shows a triangle EXACTLY identical (in shape and size) to the top triangle of the given figure.
A
Figure A
B
Figure B
C
Figure C
D
Figure D
Show answer
Answer: A
Since the rectangle is wider than it is tall, its 4 triangles are not all identical — the top and bottom triangles (base 120, height 35) are wider and shorter, while the left and right triangles (base 70, height 60) are narrower and taller, even though all four slanting sides are the same length. Option A alone matches the top triangle's exact base and height. Option B matches the side triangle instead (same slanting sides, but the wrong base/height). Options C and D are close look-alikes with a slightly stretched base or height, so they do not match exactly.
10
coding-decoding
easy
If DOG is called CAT, CAT is called MOUSE, and MOUSE is called BIRD, then which one barks and is used to guard a house?
A
Bird
B
Mouse
C
Cat
D
Dog
Show answer
Answer: C
The animal that actually barks and guards a house is a Dog. Since 'Dog' has been renamed 'Cat' in this code, the answer must be called Cat.
11
roman-numerals
hard
Which of the following gives the LEAST value?
A
MCMXCIV − DCLXXVIII
B
MCDIX + CDXCV
C
MCMLX − DCVIII
D
MCCCLXXXIII + LXXXIV
Show answer
Answer: A
A: 1994 − 678 = 1316. B: 1409 + 495 = 1904. C: 1960 − 608 = 1352. D: 1383 + 84 = 1467. The least value is 1316, given by option A.
12
data-interpretation
medium
The list below shows the names of Kabir's cousins: Uday, Isha, Om, Ravi, Anaya, Neel, Uma, Dev. What fraction of these names start with a vowel?
A
5/8
B
3/8
C
1/2
D
5/9
Show answer
Answer: A
There are 8 names in total. The ones starting with a vowel (A, E, I, O, U) are Uday, Isha, Om, Anaya and Uma — that's 5 names. So the fraction is 5/8.
13
clock
hard
A clock shows 4:40 but is running 25 minutes fast. What will be the actual time after 1 hour 50 minutes from now?
A
6:05
B
6:15
C
5:40
D
6:30
Show answer
Answer: A
Since the clock is 25 minutes fast, the actual current time is 4:40 − 25 min = 4:15. Adding the elapsed time of 1 hour 50 minutes: 4:15 + 1:50 = 6:05.
14
place-value
medium
The number represented by the given abacus is ______.
A
Thirty eight thousand fifty two
B
Thirty eight thousand five hundred two
C
Three thousand eight hundred fifty two
D
Thirty eight thousand fifty twenty
Show answer
Answer: A
The abacus rods (from left) show 3 ten-thousands, 8 thousands, 0 hundreds, 5 tens and 2 ones, giving the number 38,052. Since the hundreds digit is 0, it is read as 'Thirty eight thousand fifty two'.
15
bar-graph
medium
The given bar graph shows the number of bicycles sold by a shop over five months. Study the graph and answer: How many more bicycles were sold in April and May together than in January and March together?
A
300
B
340
C
360
D
400
Show answer
Answer: B
April + May = 320 + 450 = 770. January + March = 250 + 180 = 430. Difference = 770 − 430 = 340.
16
bar-graph
medium
Using the same bar graph as the previous question, find the fraction of the number of bicycles sold in February to the number sold in April.
A
5/4
B
4/5
C
5/8
D
8/5
Show answer
Answer: A
February = 400, April = 320. The fraction is 400/320, which simplifies (dividing both by 80) to 5/4.
17
symmetry
medium
Which of the following figures has exactly one line of symmetry?
A
Figure A
B
Figure B
C
Figure C
D
Figure D
Show answer
Answer: B
Figure A (a plus/cross shape) has 4 lines of symmetry. Figure C (an L-shape) and Figure D (an S/Z-shape) have no line of symmetry at all. Figure B (a T-shape) has exactly one line of symmetry — the vertical line through its stem.
18
weight
medium
The given figure shows two balance scales. If the weight of each orange is the same, what is the weight of the backpack, in grams?
Show answer
Answer: 900
6 oranges weigh 900 g, so 1 orange weighs 150 g, and 4 oranges weigh 600 g. Since 4 oranges plus the backpack weigh 1500 g, the backpack weighs 1500 − 600 = 900 g.
19
perimeter
hard
The given zigzag figure is made up of 7 identical squares of side 6 cm each. Find the perimeter of the figure.
A
84 cm
B
96 cm
C
108 cm
D
None of these
Show answer
Answer: B
The 7 squares have 7×4=28 edge-slots in total. Tracing the chain, each square touches the next one, giving 6 shared internal edges (one between each consecutive pair) — each shared edge is counted twice, so subtract 2×6=12. This leaves 28−12=16 unit edges on the boundary. Since each unit edge is 6 cm, the perimeter is 16×6=96 cm.
20
algebra
hard
If ▲ + ⬤ + ⬤ + ⬤ + ⬤ = 98 and ⬤ + ⬤ + ⬤ − ▲ = 56, then ⬤ = ____.
Show answer
Answer: 22
From the second equation, ▲ = 3⬤ − 56. Substituting into the first equation: (3⬤ − 56) + 4⬤ = 98, so 7⬤ = 154, giving ⬤ = 22.
21
capacity
medium
Rohan bought 5 bottles of mango juice, each with a capacity of 1250 mL, for a birthday party. If 4 L 800 mL of juice was consumed, how much juice is left?
A
1 L 450 mL
B
1 L 250 mL
C
1 L 650 mL
D
2 L 50 mL
Show answer
Answer: A
Total juice = 5 × 1250 mL = 6250 mL = 6 L 250 mL. Juice consumed = 4 L 800 mL = 4800 mL. Juice left = 6250 − 4800 = 1450 mL = 1 L 450 mL.
22
addition
easy
For a school fair, the organizers ordered 3260 blue balloons, 5175 yellow balloons and 4380 red balloons. How many balloons did they order in total?
A
12815
B
12185
C
13815
D
12715
Show answer
Answer: A
3260 + 5175 + 4380 = 12815.
23
unitary-method
medium
A stationery shop sells pencils in packs of 8 for ₹56. At this rate, what would be the cost of 20 pencils?
A
₹140
B
₹150
C
₹112
D
₹160
Show answer
Answer: A
Cost per pencil = ₹56 ÷ 8 = ₹7. Cost of 20 pencils = 20 × ₹7 = ₹140.
24
time
medium
A movie started at 3:45 PM and ended at 6:20 PM. If there was a 15-minute interval break during the movie, how long was the movie actually playing (excluding the break)?
A
2 h 20 min
B
2 h 35 min
C
2 h 5 min
D
2 h 50 min
Show answer
Answer: A
Total time from 3:45 PM to 6:20 PM = 2 h 35 min. Subtracting the 15-minute break: 2 h 35 min − 15 min = 2 h 20 min.
25
fractions
medium
The total number of students in a school bus is 45. If the fraction of students who got off at the first stop is 2/9, then how many students remained on the bus?
A
10
B
35
C
30
D
40
Show answer
Answer: B
Students who got off = 2/9 × 45 = 10. Students remaining = 45 − 10 = 35.
26
distance
medium
Priya cycles every evening. She cycled 4 km 300 m on Saturday, and 2 km 650 m more on Sunday than on Saturday. How much total distance did she cycle on both days?
A
11 km 250 m
B
9 km 600 m
C
10 km 950 m
D
13 km 300 m
Show answer
Answer: A
Saturday = 4 km 300 m = 4300 m. Sunday = 4300 + 2650 = 6950 m = 6 km 950 m. Total = 4300 + 6950 = 11250 m = 11 km 250 m.
27
fractions
medium
A baker made 72 muffins in total. Of these, 18 are chocolate chip and 27 are blueberry, and the rest are plain. What fraction of the total muffins were plain?
A
3/8
B
1/4
C
1/3
D
3/4
Show answer
Answer: A
Plain muffins = 72 − 18 − 27 = 27. Fraction = 27/72, which simplifies (dividing by 9) to 3/8.
28
multiplication
easy
A printing press prints a magazine that has 84 pages. How many total pages will be printed for 45 such magazines?
A
3780
B
3680
C
3960
D
3870
Show answer
Answer: A
84 × 45 = 3780.
29
cost
medium
A school ordered 32 storybooks and 28 activity books for the library. If each storybook costs ₹145 and each activity book costs ₹110, how much did the school pay in total?
A
₹7720
B
₹7280
C
₹8020
D
₹6720
Show answer
Answer: A
Storybooks: 32 × ₹145 = ₹4640. Activity books: 28 × ₹110 = ₹3080. Total = ₹4640 + ₹3080 = ₹7720.
30
symmetry
hard
The given figure is divided into three unequal parts by vertical lines, and each part has both its diagonals drawn. How many lines of symmetry does the figure have?
A
0
B
1
C
2
D
3
Show answer
Answer: B
The rounded outline (with a semicircle at each end) is symmetric both left-right and top-bottom on its own. But the three vertical dividing lines are spaced unevenly, so the left half of the figure does not match the right half — this breaks left-right symmetry. Each cell's diagonals still make the top half match the bottom half. So the figure has exactly 1 line of symmetry (horizontal).
31
number-theory
hard
Read the given statements carefully and state T for true and F for false.
(i) 1 is a prime number.
(ii) The number of factors of the smallest 3-digit prime number is 2.
(iii) The LCM of 18 and 24 is 144.
A
(i) T, (ii) T, (iii) F
B
(i) F, (ii) T, (iii) F
C
(i) F, (ii) F, (iii) T
D
(i) T, (ii) F, (iii) T
Show answer
Answer: B
(i) 1 is neither prime nor composite, so this is False. (ii) The smallest 3-digit prime is 101, and every prime number has exactly 2 factors (1 and itself), so this is True. (iii) 18=2×3² and 24=2³×3, so LCM=2³×3²=72, not 144 — this is False.
32
water-redistribution
hard
The given figure shows the amount of water in 4 beakers at first. Riya poured the water of beaker R equally into beakers P and Q, and then poured 100 mL of water from beaker S into beaker R. Which of the following shows the CORRECT descending order of the beakers as per the water contained in them now?
A
S, Q, P, R
B
Q, S, P, R
C
S, P, Q, R
D
P, Q, S, R
Show answer
Answer: A
Initial amounts: P=350 mL, Q=600 mL, R=150 mL, S=800 mL. Pouring R's 150 mL equally into P and Q adds 75 mL to each: P=425 mL, Q=675 mL, R=0 mL. Then pouring 100 mL from S to R: S=700 mL, R=100 mL. Final amounts: S=700, Q=675, P=425, R=100 — descending order is S, Q, P, R.
33
fractions-shaded
hard
Observe the given figures carefully and select the INCORRECT option.
A
5/9 part of Figure P is unshaded.
B
The sum of the shaded fractions of Figure P and Figure Q is 11/19.
C
The shaded fraction of Figure Q is greater than the shaded fraction of Figure P.
D
Both A and C
Show answer
Answer: B
Figure P (a triangle split into 9 equal smaller triangles) has 4 shaded, so shaded=4/9 and unshaded=5/9 — statement A is true. Figure Q (a circle split into 10 equal sectors) has 7 shaded, so shaded=7/10. To add the shaded fractions correctly, use a common denominator: 4/9 + 7/10 = 40/90 + 63/90 = 103/90 — NOT 11/19 (which comes from wrongly adding the numerators and denominators separately, 4+7 over 9+10). So statement B is incorrect. Also, 7/10 (Figure Q's shaded fraction) is indeed greater than 4/9 (Figure P's shaded fraction), so C is true. Since only B is incorrect, the answer is B.
34
grid-symmetry
hard
In the given 4×4 grid, some squares are already shaded. What is the minimum number of squares that must be shaded so that the figure has exactly one line of symmetry?
A
1
B
2
C
3
D
4
Show answer
Answer: B
Label columns 1-4 left to right. The two shaded squares in row 1 (columns 1 and 4) already mirror each other about the vertical centre line. But the shaded square in row 2 (column 2) has no matching shaded square in column 3, and the shaded square in row 4 (column 3) has no matching square in column 2. Shading (row 2, column 3) and (row 4, column 2) completes the vertical line of symmetry, using only 2 squares. Checking shows no horizontal or diagonal symmetry appears, so the figure ends up with exactly one line of symmetry.
35
pictograph
hard
The given pictograph shows the number of marbles in five different boxes. Study it carefully and answer both parts.
(i) How many more marbles should be added to box T so that it has the same number of marbles as box R?
(ii) Find the fraction of the number of marbles in box S to the total number of marbles in box P and box Q together.
A
(i) 36, (ii) 1/3
B
(i) 30, (ii) 1/2
C
(i) 36, (ii) 1/2
D
(i) 30, (ii) 1/3
Show answer
Answer: A
Each icon represents 6 marbles. P=7 icons=42, Q=5 icons=30, R=9 icons=54, S=4 icons=24, T=3 icons=18. (i) R − T = 54 − 18 = 36. (ii) S ÷ (P+Q) = 24 ÷ (42+30) = 24/72 = 1/3.