1
embedded-figures
hard
Select a figure from the options in which the given figure is exactly embedded as one of its parts, in the same size and orientation.
A
Figure A
B
Figure B
C
Figure C
D
Figure D
Show answer
Answer: A
The given hook-shaped figure goes down 60 units, then right 50 units, then up 50 units. Figure A contains this exact hook, in the same size and orientation, along with some extra decorative lines. Figure B has the hook rotated 90°, Figure C has it mirrored left-right, and Figure D looks similar at a glance but its last arm is 60 units instead of 50, so it does not match exactly.
2
figure-counting
hard
How many squares are there in the given figure?
A
9
B
13
C
14
D
16
Show answer
Answer: C
The figure is a 3x3 grid. Unit (1x1) squares = 9. Squares of size 2x2 = 4 (top-left, top-right, bottom-left, bottom-right blocks of 4 cells). The whole 3x3 grid itself is 1 square of size 3x3. Total squares = 9 + 4 + 1 = 14.
3
coding-decoding
medium
The codes of some digits are given below.
Digits: 3, 5, 8, 2, 9, 6, 1, 7
Codes: K, T, A, E, N, P, F, R
Find the code for 39178.
A
KNFRA
B
KNFAR
C
KFNRA
D
TNFRA
Show answer
Answer: A
3→K, 9→N, 1→F, 7→R, 8→A. So 39178 → K, N, F, R, A → KNFRA.
4
word-formation
medium
Select the combination of numbers from the options in which the given letters are arranged accordingly to form a meaningful English word.
L P A E M
1 2 3 4 5
A
1, 3, 2, 4, 5
B
5, 3, 2, 1, 4
C
2, 4, 1, 3, 5
D
4, 1, 5, 2, 3
Show answer
Answer: B
L=1, P=2, A=3, E=4, M=5. The sequence 5,3,2,1,4 gives M,A,P,L,E → MAPLE, a meaningful English word.
5
pattern-completion
hard
Select a figure from the options which will complete the given figure pattern.
A
Figure A
B
Figure B
C
Figure C
D
Figure D
Show answer
Answer: A
Three things change together in each step: the arrow rotates 90° clockwise (right → down → left → up), the triangle moves one corner clockwise (top-left → top-right → bottom-right → bottom-left), and the triangle's colour cycles (orange → teal → purple → orange). So the missing figure must have the arrow pointing up, the triangle at the bottom-left corner, AND the triangle coloured orange — which is Figure A. Figure B has the wrong colour, Figure C has the wrong triangle position, and Figure D has the wrong arrow direction.
6
direction-sense
hard
Eight friends are sitting around Kabir as shown in the figure. Who among the following is in the South-West of Farhan?
A
Rohan
B
Meher
C
Divya
D
Zoya
Show answer
Answer: A
Farhan is at the East point and Rohan is at the South point of the star. Since these two points are exactly 90° apart on the compass, the direction from Farhan to Rohan is exactly South-West.
7
time
easy
Priya finished her piano practice at 6:05 p.m. If she practised for 40 minutes, then at what time did she start her practice?
A
6:45 p.m.
B
5:15 p.m.
C
5:25 p.m.
D
5:35 p.m.
Show answer
Answer: C
Start time = 6:05 p.m. − 40 minutes = 5:25 p.m.
8
mirror-image
medium
Select the CORRECT mirror image of the given figure.
A
Figure A
B
Figure B
C
Figure C
D
Figure D
Show answer
Answer: B
A vertical mirror on the right swaps left and right, so the red (left) and blue (right) triangles must swap places, while the orange (top) and green (bottom) triangles stay where they are. This matches Figure B.
9
ascending-order
easy
If all the given numbers are arranged in ascending order, then which number will be exactly in the middle?
143 98 67 156 112 129 85
A
112
B
129
C
98
D
143
Show answer
Answer: A
Ascending order: 67, 85, 98, 112, 129, 143, 156. The middle (4th of 7) number is 112.
10
figure-analogy
hard
There is a certain relationship between the pair of figures on either side of ::. Identify the relationship of the given pair and find the missing figure.
A
Figure A
B
Figure B
C
Figure C
D
Figure D
Show answer
Answer: B
In the first pair, the number of circles in each quadrant doubles from 1 to 2, keeping the same icon type. Applying the same rule to the triangle figure, each quadrant's 1 triangle must become 2 triangles, which matches Figure B.
11
polygons
easy
Which of the following is not a polygon?
A
Figure A
B
Figure B
C
Figure C
D
Figure D
Show answer
Answer: C
A polygon is a closed shape made only of straight sides. Figure C has one curved side, so it is not a polygon. Figures A, B and D are all closed shapes with only straight sides.
12
fractions
medium
Which of the following fractions is 5/6 more than 5/12?
A
1 1/4
B
1 3/4
C
2 1/4
D
1/4
Show answer
Answer: A
5/12 + 5/6 = 5/12 + 10/12 = 15/12 = 1 3/12 = 1 1/4.
13
algebra
medium
If ♦ + ♦ + ♦ + ♦ = 96 and ♦ − ★ = 15, then find the value of ★ + ★ + ♦.
A
33
B
42
C
48
D
51
Show answer
Answer: B
4♦ = 96, so ♦ = 24. ★ = ♦ − 15 = 24 − 15 = 9. ★ + ★ + ♦ = 9 + 9 + 24 = 42.
14
place-value
medium
The number name for the number shown on the abacus is _______.
A
Fifty-two thousand nine hundred six
B
Five thousand two hundred ninety six
C
Fifty-two thousand nine hundred sixty
D
None of these
Show answer
Answer: A
The number is 52,906, whose number name is Fifty-two thousand nine hundred six.
15
data-handling
medium
The given bar graph shows the quantity of different fruits (in kg) sold at a shop in a day. Study the graph carefully and answer the following question.
How many more kg of bananas were sold than grapes?
A
40
B
60
C
50
D
70
Show answer
Answer: B
Bananas = 110 kg, Grapes = 50 kg. Difference = 110 − 50 = 60 kg.
16
data-handling
hard
Using the same bar graph as the previous question, find the fraction of the quantity of apples and grapes sold together to the quantity of bananas and oranges sold together.
A
3/5
B
5/8
C
2/5
D
4/7
Show answer
Answer: A
Apples + Grapes = 70 + 50 = 120. Bananas + Oranges = 110 + 90 = 200. Fraction = 120/200 = 3/5.
17
time
medium
The given clock is faster than the actual clock. If the actual clock shows the time 5:40, then the difference between the time on the actual clock and that on the given clock is _______.
A
0 hr 35 min
B
0 hr 25 min
C
1 hr 05 min
D
0 hr 45 min
Show answer
Answer: A
The given clock shows 6:15. Difference from the actual time 5:40 is 6:15 − 5:40 = 0 hr 35 min.
18
place-value
easy
I have 4 at the tens place. I have 7 at the ones place. I am greater than 600 but less than 700. Who am I?
A
647
B
746
C
476
D
674
Show answer
Answer: A
Tens digit = 4, ones digit = 7, and the number is between 600 and 700, so the hundreds digit is 6. The number is 647.
19
number-theory
hard
Which of the following options is INCORRECT?
A
5th multiple of the smallest 2-digit number is 50.
B
Every number is a factor of itself.
C
The number of common factors of 14 and 35 is 3.
D
None of these
Show answer
Answer: C
Smallest 2-digit number is 10, and its 5th multiple is 50, so A is correct. B is a true general fact. Factors of 14 are 1,2,7,14 and factors of 35 are 1,5,7,35; the common factors are 1 and 7, so there are only 2 common factors, not 3 — so C is incorrect.
20
capacity
medium
A bottle contains 2 L 800 mL of juice. If Saumya wants to pour all the juice from the bottle into glasses of 350 mL capacity each, then how many glasses will she need?
A
6
B
7
C
8
D
9
Show answer
Answer: C
2 L 800 mL = 2800 mL. Number of glasses = 2800 ÷ 350 = 8.
21
money
easy
Kabir gets ₹640 in a month as pocket money. If he spends ₹380 every month and saves the rest, then how much total amount of money will he save in 4 months?
A
₹1040
B
₹960
C
₹1140
D
₹880
Show answer
Answer: A
Savings per month = 640 − 380 = ₹260. Savings in 4 months = 260 × 4 = ₹1040.
22
fractions
medium
Meera bought 2 1/4 kg of rice and Priya bought 5/6 kg more rice than Meera. How much total quantity of rice did they both buy?
A
5 1/3 kg
B
4 1/2 kg
C
5 5/6 kg
D
4 1/12 kg
Show answer
Answer: A
Priya bought 2 1/4 + 5/6 = 9/4 + 5/6 = 27/12 + 10/12 = 37/12 = 3 1/12 kg. Total = 2 1/4 + 3 1/12 = 27/12 + 37/12 = 64/12 = 5 4/12 = 5 1/3 kg.
23
3d-shapes
medium
Farhan made a shape by folding the given cardboard net along the dotted lines. Which shape did he make?
A
Triangular pyramid
B
Triangular prism
C
Cube
D
Square pyramid
Show answer
Answer: A
The net has a central triangle with one more triangle attached to each of its 3 edges. When folded up along the dotted lines, the 3 outer triangles meet at a point above the central triangle, forming a triangular pyramid (tetrahedron).
24
arithmetic
easy
In a factory, the number of pens manufactured in April were 84360. Out of which, 25750 were defective. How many total pens were not defective?
A
58610
B
58620
C
56610
D
59610
Show answer
Answer: A
84360 − 25750 = 58610.
25
place-value
medium
A number has 6 hundreds, 3 ten-thousands, 9 tens, 5 thousands and 4 ones. Identify the number.
A
35694
B
39564
C
53694
D
36594
Show answer
Answer: A
3 ten-thousands = 30000, 5 thousands = 5000, 6 hundreds = 600, 9 tens = 90, 4 ones = 4. Sum = 30000+5000+600+90+4 = 35694.
26
capacity
medium
The capacity of a small bottle is 350 mL and the capacity of a large bottle is 1250 mL. If Rhea uses 6 small bottles and 3 large bottles of water to fill up an empty tank, then what is the capacity of the tank?
A
5 L 850 mL
B
5 L 200 mL
C
6 L 100 mL
D
4 L 950 mL
Show answer
Answer: A
6 × 350 = 2100 mL. 3 × 1250 = 3750 mL. Total = 2100 + 3750 = 5850 mL = 5 L 850 mL.
27
multiplication
easy
On New Year's eve, Meera decorated 18 lanterns. If she used 65 decorative items to decorate each lantern, then how many total decorative items did she use?
A
1170
B
1160
C
1080
D
1250
Show answer
Answer: A
18 × 65 = 1170.
28
fractions
medium
Nisha went on a 21-day trip. She spent 9 days in Manali and the rest of the days in Shimla. What fraction of her trip did she spend in Shimla?
A
4/7
B
3/7
C
5/7
D
2/3
Show answer
Answer: A
Days in Shimla = 21 − 9 = 12. Fraction = 12/21 = 4/7.
29
perimeter
hard
Aisha walks around a six-sided park with side lengths 8 m, 10 m, 14 m, 9 m, 11 m and 13 m, and Riya walks around a square garden of side 20 m. Who walked more distance and by how much?
A
Aisha, 15 m
B
Riya, 15 m
C
Riya, 10 m
D
Aisha, 10 m
Show answer
Answer: B
Perimeter of the park = 8+10+14+9+11+13 = 65 m. Perimeter of the square garden = 4 × 20 = 80 m. Riya walked more, by 80 − 65 = 15 m.
30
time
medium
Zara went for music class at the time shown on the given clock in the morning. If she returned after 140 minutes, then which of the following options shows the time at which she came back?
A
11:35 a.m.
B
11:35 p.m.
C
11:15 a.m.
D
10:55 a.m.
Show answer
Answer: A
The clock shows 9:15 a.m. 140 minutes = 2 hr 20 min. 9:15 a.m. + 2 hr 20 min = 11:35 a.m.
31
fractions
hard
The given row of icons repeats the pattern star, circle, square. Which of the following options shows the shaded fraction which is the same as the fraction of circles in the given set of icons?
A
Figure A
B
Figure B
C
Figure C
D
Figure D
Show answer
Answer: B
There are 12 icons in total (4 stars, 4 circles, 4 squares), so the fraction of circles is 4/12 = 1/3. Figure B shows a rectangle divided into 6 equal parts with 2 shaded, which is 2/6 = 1/3 — the same fraction. Figure A shows 1/4, Figure C shows 1/2, and Figure D shows 2/5.
32
distance
hard
The given map shows the distances between Home, Garden, Pond, Bazaar and School. Study the map carefully and find the distance travelled for each of the following routes.
(i) Home → Garden → Pond → Home
(ii) Home → Garden → Pond → Bazaar → School → Home
A
(i) 9 km, (ii) 19 km
B
(i) 9 km, (ii) 17 km
C
(i) 7 km, (ii) 19 km
D
(i) 7 km, (ii) 17 km
Show answer
Answer: A
(i) Home→Garden (3 km) + Garden→Pond (2 km) + Pond→Home (4 km) = 9 km. (ii) Home→Garden (3 km) + Garden→Pond (2 km) + Pond→Bazaar (5 km) + Bazaar→School (3 km) + School→Home (6 km) = 19 km.
33
symmetry
hard
Read the given statements carefully and state T for true and F for false.
P. The number of letters having perpendicular lines in the given word is 3.
HEART
Q. The number of lines of symmetry in a regular hexagon is 6.
R. A parallelogram has 2 lines of symmetry.
A
P-F, Q-F, R-T
B
P-T, Q-T, R-F
C
P-F, Q-T, R-T
D
P-T, Q-F, R-F
Show answer
Answer: B
P: In block capital letters, H, E and T contain perpendicular lines (A and R do not) — that is 3 letters, so P is True. Q: A regular hexagon has 6 lines of symmetry, so Q is True. R: A general parallelogram has 0 lines of symmetry, so R is False.
34
roman-numerals
hard
Which of the following statements is/are true?
P. The value of DCCXCIV + CCXLVIII − CLXII is one thousand and eighty.
Q. The estimated product of 623 and 289, when each number is rounded off to the nearest hundred, is 180000.
R. On dividing the greatest 4-digit odd number by 15, we get the quotient as 666 and the remainder as 9.
A
Only P
B
Only R
C
Only P and R
D
Only Q and R
Show answer
Answer: D
DCCXCIV=794, CCXLVIII=248, CLXII=162. 794+248−162=880, not 1080, so P is False. Rounded to nearest hundred, 623→600 and 289→300; 600×300=180000, so Q is True. The greatest 4-digit odd number is 9999; 9999÷15 gives quotient 666 and remainder 9 (15×666=9990, 9999−9990=9), so R is True. So only Q and R are true.
35
place-value
hard
A 5-digit number satisfies all of the following:
• Its ten-thousands digit is 4.
• Its thousands digit is double its ten-thousands digit.
• Its hundreds digit is the remainder when its thousands digit is divided by 3.
• Its tens digit is one more than its hundreds digit.
• Its ones digit is the smallest odd number.
What is the number?
A
48231
B
48213
C
48321
D
42831
Show answer
Answer: A
Ten-thousands digit = 4. Thousands digit = double of 4 = 8. Hundreds digit = remainder of 8÷3 = 2. Tens digit = 2+1 = 3. Ones digit = smallest odd number = 1. The number is 48231.