1
number-puzzle
medium
In each triangle, the centre number follows the same rule using the three outer numbers. Find the missing number in the third triangle.
A
180
B
160
C
200
D
170
Show answer
Answer: A
In each triangle, the centre number is the product of the three outer numbers. Triangle 1: 3 × 5 × 4 = 60. Triangle 2: 2 × 7 × 6 = 84. Triangle 3: 4 × 5 × 9 = 180.
2
counting-principle
easy
A bakery has 6 different flavours of cupcakes and 8 different types of cookies. How many different combinations of exactly 1 cupcake and 1 cookie can be chosen?
A
48
B
14
C
42
D
56
Show answer
Answer: A
Each of the 6 cupcake flavours can be paired with any of the 8 cookie types, giving 6 × 8 = 48 combinations.
3
clock-arithmetic
medium
A magic show starts at the time shown on the clock. If the show lasts for 3 hours 35 minutes, at what time does it end?
A
10:15
B
9:15
C
10:05
D
9:75
Show answer
Answer: A
The clock shows 6:40. Adding 3 hours 35 minutes: 6:40 + 3:00 = 9:40, then 9:40 + 35 minutes = 10:15.
4
figure-analogy
hard
A Square is related to a Pentagon containing a small Square inside it, in the same way a Hexagon is related to which of the following?
A
A Heptagon containing a small Square inside it
B
A Heptagon containing a small Hexagon inside it
C
An Octagon containing a small Hexagon inside it
D
A Hexagon containing a small Heptagon inside it
Show answer
Answer: B
The rule is: the outer shape gains exactly one side compared to the given shape, and the given shape itself appears as a small figure inside it. A Square (4 sides) becomes an outer Pentagon (5 sides) with a small Square inside. So a Hexagon (6 sides) must become an outer Heptagon (7 sides) with a small Hexagon inside.
5
direction-sense
hard
Study the given grid carefully. Which of the following points lies to the South-West of point W?
A
Y
B
Z
C
U
D
X
Show answer
Answer: A
Point W is at (2,3) on the grid. Point Y is at (1,1), which is both to the left (west) and below (south) of W, so Y is South-West of W. Point Z is south of W but not west, point U is neither south nor west of W, and point X is east of W.
6
seating-arrangement
medium
Twelve trees are planted in a row, labelled A to L from left to right in that order. If the trees D and H are removed, then which tree is fourth to the right of the third tree from the left end of the remaining row?
A
I
B
F
C
J
D
G
Show answer
Answer: A
After removing D and H, the remaining row in order is: A, B, C, E, F, G, I, J, K, L. The third tree from the left is C. Counting four trees to the right of C: E(1), F(2), G(3), I(4). So the answer is I.
7
word-puzzle
medium
In the figure below, the letters going down form one word and the letters going across form another word, sharing one common letter. Which letter completes both words?
A
A
B
E
C
O
D
I
Show answer
Answer: A
The vertical word is SNACK and the horizontal word is BOARD. Both words have the letter A as their third letter, so A is the shared letter.
8
square-counting
medium
How many squares of all sizes are there in the given figure, including the tilted square formed by joining the midpoints of the outer square's sides?
A
14
B
15
C
16
D
13
Show answer
Answer: B
The figure is a 3×3 grid of unit squares inside an outer square. Unit (1×1) squares: 9. There are also 2×2 squares: (3-1) × (3-1) = 4. And one 3×3 square (the outer square itself): 1. Grid total = 9 + 4 + 1 = 14. Joining the midpoints of the outer square's sides forms one more tilted square, giving a total of 14 + 1 = 15.
9
mirror-image
hard
Select the correct mirror image of the given figure when the mirror is placed vertically to its right.
A
Figure A
B
Figure B
C
Figure C
D
Figure D
Show answer
Answer: B
A vertical mirror image reverses the left-right order of the characters and flips each character horizontally. Figure B correctly shows the string reversed in order with every character mirrored left-right. Figure A shows a top-bottom flip instead, Figure C keeps the original order without reversing, and Figure D shows a 180° rotation.
10
coding-decoding
medium
If 'August' means 'April', 'April' means 'June', 'June' means 'November', and 'November' means 'January', then which month has the greatest number of days in a year?
A
April
B
June
C
November
D
January
Show answer
Answer: D
The months actually referred to are April (30 days), June (30 days), November (30 days) and January (31 days). Among these, January has the greatest number of days.
11
abacus-factors
medium
The given abacus represents a 3-digit number. Which of the given options is/are factor(s) of this number?
A
6
B
9
C
16
D
All of these
Show answer
Answer: D
The abacus shows 1 bead on the Hundreds rod, 4 beads on the Tens rod and 4 beads on the Ones rod, representing the number 144. 144 ÷ 6 = 24, 144 ÷ 9 = 16, and 144 ÷ 16 = 9. Since all three divide 144 exactly, all of these are factors.
12
rounding
easy
Which of the following numbers gives the greatest value when rounded off to the nearest hundred: 3742, 4185, 3699, 4099?
A
3742
B
4185
C
3699
D
4099
Show answer
Answer: B
Rounded to the nearest hundred: 3742 → 3700, 4185 → 4200, 3699 → 3700, 4099 → 4100. The greatest rounded value, 4200, comes from 4185.
13
symmetry
hard
In the given figure, PQ is a line of symmetry. What is the minimum number of squares that must be shaded so that PQ becomes a true line of symmetry for the whole figure?
A
2
B
5
C
4
D
3
Show answer
Answer: A
Reflecting each existing shaded square across the diagonal PQ, every square maps back onto an already-shaded square except two: the reflections of the squares at positions (2,3) and (3,4) are missing at (3,2) and (4,3). So exactly 2 squares must be added for PQ to become a true line of symmetry.
14
fraction-equations
medium
If 3¼ + 4½ + 4¼ = P × (¾), find the value of P.
A
16
B
12
C
9
D
20
Show answer
Answer: A
3¼ + 4½ + 4¼ = 13/4 + 18/4 + 17/4 = 48/4 = 12. So P × ¾ = 12, which gives P = 12 × 4/3 = 16.
15
linear-equations
hard
If (1 Pen + 1 Notebook) costs ₹15, (5 Pens + 1 Ruler + 3 Notebooks) costs ₹62, and (1 Pen + 1 Ruler) costs ₹11, find the cost of 1 Notebook.
A
₹9
B
₹6
C
₹5
D
₹11
Show answer
Answer: A
Let Pen = P, Notebook = N, Ruler = R. From the equations: N = 15 - P and R = 11 - P. Substituting into 5P + R + 3N = 62 gives 5P + (11 - P) + 3(15 - P) = 62, so P + 56 = 62, giving P = 6. Then N = 15 - 6 = 9 and R = 11 - 6 = 5, which satisfy all three equations. So the Notebook costs ₹9.
16
fractions-shading
medium
Each circle below is divided into 6 equal parts. Which circle does NOT have exactly half of it shaded?
A
Circle A
B
Circle B
C
Circle C
D
Circle D
Show answer
Answer: C
Half of 6 equal parts is 3 parts. Circles A, B and D each have 3 out of 6 parts shaded, which is exactly half. Circle C has only 2 out of 6 parts shaded, which is 1/3, not half.
17
clock-duration
medium
The two clocks show the start time and end time of a train journey. How long did the journey last?
A
2 hours 45 minutes
B
3 hours 15 minutes
C
2 hours 35 minutes
D
3 hours 45 minutes
Show answer
Answer: A
The journey started at 8:20 and ended at 11:05. From 8:20 to 11:05 is 2 hours 45 minutes.
18
bar-graph
medium
The bar graph shows the number of books read by students of six clubs P, Q, R, S, T and U in a month. How much less was the number of books read by club R than the total number of books read by clubs P and S?
A
650
B
600
C
700
D
550
Show answer
Answer: A
From the graph, P = 350, S = 550, so P + S = 900. R = 250. The difference is 900 − 250 = 650.
19
bar-graph
medium
Using the same bar graph, if club V read (2/5)th of the number of books read by club U, how many books did club V read?
A
240
B
360
C
300
D
250
Show answer
Answer: A
From the graph, club U read 600 books. (2/5) × 600 = 240.
20
number-sequence
medium
Five stars P, Q, R, S and T have numbers written on them, arranged in ascending order from P to T. P = 2210, R = 2245, S = 2290, T = 2320, and Q's number is unknown. What could NOT be the number on star Q?
A
2225
B
2250
C
2230
D
2240
Show answer
Answer: B
For the numbers to remain in ascending order P < Q < R, Q must lie strictly between 2210 and 2245. Only 2250 is greater than 2245, so Q could not be 2250.
21
addition
easy
A stationery shop has 1342 pencils, 2015 pens, 2680 erasers and 1730 sharpeners. How many total stationery items are there?
A
7767
B
7657
C
8767
D
8357
Show answer
Answer: A
1342 + 2015 + 2680 + 1730 = 7767.
22
fractions-word-problem
medium
520 people visited a library on Monday and 380 people visited on Tuesday. If the total number of women who visited on both days is 275, find the fraction of people who visited on these two days who are not women.
A
25/36
B
36/25
C
11/36
D
None of these
Show answer
Answer: A
Total visitors on both days = 520 + 380 = 900. Not-women visitors = 900 − 275 = 625. Fraction = 625/900 = 25/36 in simplest form.
23
division-multiplication
medium
A vendor packed 3648 mangoes into crates of 8. He sold each crate for ₹45. How much total amount did he get?
A
₹20520
B
₹19520
C
₹20470
D
₹18240
Show answer
Answer: A
Number of crates = 3648 ÷ 8 = 456. Total amount = 456 × ₹45 = ₹20520.
24
perimeter
medium
Riya used a wire to form the given rectangle. The length of the rectangle is four times its breadth. If the breadth is 12 cm, find the total length of wire used by her.
A
96 cm
B
180 cm
C
120 cm
D
72 cm
Show answer
Answer: C
Breadth = 12 cm, so length = 4 × 12 = 48 cm. Perimeter = 2 × (Length + Breadth) = 2 × (48 + 12) = 120 cm.
25
number-comparison
easy
Three vendors, Kabir, Naina and Farah, sold 24681, 19532 and 24398 mangoes respectively. Who sold the maximum number of mangoes?
A
Kabir
B
Naina
C
Farah
D
Can't say
Show answer
Answer: A
Comparing 24681, 19532 and 24398, the greatest number is 24681, so Kabir sold the maximum number of mangoes.
26
fractions
easy
For an art class, the teacher bought 12 brushes, 9 palettes, 15 canvases and 4 easels. Find the fraction of the number of easels bought to the total number of items bought.
A
1/10
B
1/4
C
2/5
D
3/10
Show answer
Answer: A
Total items = 12 + 9 + 15 + 4 = 40. Fraction of easels = 4/40 = 1/10.
27
subtraction
easy
A hall can accommodate 4800 guests. If there are 1350 adults and 1620 children already inside, how many more guests can be accommodated?
A
1830
B
2970
C
1730
D
1930
Show answer
Answer: A
Guests already inside = 1350 + 1620 = 2970. Remaining capacity = 4800 − 2970 = 1830.
28
measurement-mass
medium
Mrs. Kapoor put 3 kg 240 g potatoes, 2 kg 615 g onions and 4 kg 90 g tomatoes into an empty basket. If the total weight of the vegetables and the empty basket is 11 kg 200 g, find the weight of the empty basket.
A
1 kg 255 g
B
1 kg 325 g
C
1195 g
D
None of these
Show answer
Answer: A
Total weight of vegetables = 3 kg 240 g + 2 kg 615 g + 4 kg 090 g = 9 kg 945 g. Weight of empty basket = 11 kg 200 g − 9 kg 945 g = 1 kg 255 g.
29
rounding
medium
The distance between town A and town B, when rounded off to the nearest thousand, is 7000 km. Which of the following is a possible actual distance between the two towns?
A
6208 km
B
7920 km
C
6482 km
D
7215 km
Show answer
Answer: D
A number rounds to 7000 (nearest thousand) if it lies between 6500 and 7499. Only 7215 km falls in this range; 6208 and 6482 round to 6000, and 7920 rounds to 8000.
30
unitary-method
medium
Farhan uses 24 lemons to make 2 litres of lemonade. How many lemons does he need to make 7 litres of lemonade?
A
96
B
84
C
108
D
72
Show answer
Answer: B
Lemons needed per litre = 24 ÷ 2 = 12. For 7 litres, lemons needed = 12 × 7 = 84.
31
money-word-problem
hard
Kabir, Reyansh and Diya get ₹2200, ₹1800 and ₹2400 respectively from their parents for a picnic. Kabir spends ₹320 on sandwiches, ₹250 on chips and ₹410 on juice. Reyansh spends ₹380 on wraps, ₹275 on cookies and ₹225 on soda. Diya spends ₹460 on rolls, ₹340 on fries and ₹520 on shakes. Who among the three was left with the least amount?
A
Kabir
B
Reyansh
C
Diya
D
Can't say
Show answer
Answer: B
Kabir spent 320+250+410=₹980, leaving 2200−980=₹1220. Reyansh spent 380+275+225=₹880, leaving 1800−880=₹920. Diya spent 460+340+520=₹1320, leaving 2400−1320=₹1080. The least remaining amount, ₹920, belongs to Reyansh.
32
pictograph
hard
The given pictograph shows the number of storybooks donated by four schools in a book drive. (i) Which two schools donated 110 books together? (ii) If the packing cost of each book is ₹8, find the packing cost of the books donated by schools B and D together.
A
B and C; ₹1040
B
A and D; ₹960
C
C and D; ₹1120
D
A and B; ₹880
Show answer
Answer: A
From the pictograph, A=60, B=50, C=60, D=80. (i) B + C = 50 + 60 = 110. (ii) B + D = 50 + 80 = 130 books, so packing cost = 130 × ₹8 = ₹1040.
33
roman-numerals-place-value
hard
Read the given statements carefully and state T for true and F for false. (i) The value of XCIX, when rounded off to the nearest tens, becomes 100. (ii) The number name of the greatest 5-digit number formed using the digits 2, 0, 5 and 9 (using each digit at least once) is ninety thousand five hundred twenty. (iii) The Roman numeral XVX is meaningless.
A
F, T, F
B
F, F, T
C
T, T, F
D
T, F, T
Show answer
Answer: D
(i) XCIX = 99, which rounds to 100 at the nearest ten — True. (ii) Using 2, 0, 5, 9 with each digit at least once in 5 digits, the digit 9 must repeat to maximise the number, giving 99520 ("ninety-nine thousand five hundred twenty"), not "ninety thousand five hundred twenty" — False. (iii) XVX does not follow any valid Roman numeral pattern (V is never used in a subtractive position before X), so it is meaningless — True.
34
lines-and-symmetry
hard
Fill in the blanks and select the correct option. (i) The number of pairs of parallel lines in the given figure is ____. (ii) The number of letters having exactly two lines of symmetry in the word TOMATO is ____.
A
(i): 6 (ii): 2
B
(i): 4 (ii): 3
C
(i): 6 (ii): 3
D
None of these
Show answer
Answer: A
(i) Lines l, m, o point in one direction and are mutually parallel, giving 3 pairs; lines p, q, r point in another direction and are mutually parallel, giving another 3 pairs — a total of 6 pairs. (ii) In TOMATO, only the two O's have exactly two lines of symmetry (vertical and horizontal); T, M and A each have only one, so the count is 2.
35
fractions-logic
hard
Who among the following students has written the correct statement? (i) Aarav: The difference between the fractions of consonants and vowels in the word CHILDREN is 3/4. (ii) Ishaan: The fraction 7/12 must be added to 4⅝ to get 5 5/24. (iii) Meher: The fraction of months having exactly 31 days in a year is 7/12.
A
Only Ishaan
B
Both Ishaan and Meher
C
Both Aarav and Ishaan
D
All of them
Show answer
Answer: B
CHILDREN has 8 letters: 2 vowels (I, E) and 6 consonants. Fraction of consonants = 6/8 = 3/4, vowels = 2/8 = 1/4, difference = 1/2, not 3/4, so Aarav is wrong. 4⅝ + 7/12 = 111/24 + 14/24 = 125/24 = 5 5/24, so Ishaan is correct. Months with 31 days: Jan, Mar, May, Jul, Aug, Oct, Dec = 7 out of 12 = 7/12, so Meher is correct. So both Ishaan and Meher are correct.