Logical Reasoning
MCQs — 10 Questions
(+2 / -1)
1
grouping
easy
There are 18 chocolates in a box. How many groups of 3 chocolates each can be formed from them?
A
6
B
5
C
9
D
15
Show answer
Answer: A
18 chocolates split into groups of 3 gives 18 ÷ 3 = 6 groups.
2
shapes
easy
Which of the following shapes has the least number of corners (vertices)?
A
Cube
B
Cone
C
Sphere
D
Pyramid
Show answer
Answer: C
A cube has 8 corners, a cone has 1, a pyramid has 5, but a sphere is perfectly round and has 0 corners — the least of all.
3
clock-reading
medium
On a clock, the hour hand points exactly midway between 2 and 3, and the minute hand points at 6. What time does the clock show?
A
2:30
B
2:06
C
3:30
D
6:02
Show answer
Answer: A
The minute hand at 6 means 30 minutes past the hour. The hour hand halfway between 2 and 3 confirms it is halfway through the 2 o'clock hour, so the time is 2:30.
4
mirror-image
medium
Select the CORRECT mirror image of the word CAKE.
A
EKAC
B
CAKE
C
KEAC
D
ACEK
Show answer
Answer: A
A mirror held to the right of a word reverses the order of its letters. CAKE reversed letter-by-letter reads EKAC.
5
number-pattern
medium
Find the missing number in the pattern: 5, 8, 13, 20, ?, 40
A
27
B
29
C
31
D
33
Show answer
Answer: B
The differences between consecutive terms increase by 2 each time: +3, +5, +7, +9, +11. So 20 + 9 = 29, and 29 + 11 = 40 (checks out).
6
analogy
easy
Bird : Nest :: Bee : ?
A
Web
B
Hive
C
Den
D
Burrow
Show answer
Answer: B
A bird lives in a nest, and in the same way, a bee lives in a hive.
7
coding-decoding
hard
Letters and their codes are given below:
Letter: M A D E R
Code: 1 2 3 4 5
Select the combination of codes in which the letters are arranged to form the meaningful word DREAM.
A
3, 5, 4, 2, 1
B
3, 4, 5, 2, 1
C
1, 2, 3, 4, 5
D
5, 3, 4, 2, 1
Show answer
Answer: A
D=3, R=5, E=4, A=2, M=1, so DREAM is coded as 3, 5, 4, 2, 1.
8
spatial-reasoning
medium
Select the figure from the options which is exactly embedded in the given figure as one of its parts.
Options A–D show four candidate shapes.
Show answer
Answer: A
The flag on the pole is a triangle whose straight edge is on the left and whose point sticks out to the right. Option A matches that triangle exactly. Option B is the mirror image (pointing left), Option C stretches the triangle taller and narrower, and Option D is a different, concave arrow shape — none of these appear in the given figure.
9
combinatorics
medium
Meera has 4 different T-shirts and 3 different pairs of shoes. If she wears one T-shirt and one pair of shoes at a time, how many different outfits can she make?
A
7
B
10
C
12
D
15
Show answer
Answer: C
Each of the 4 T-shirts can be paired with any of the 3 pairs of shoes, giving 4 × 3 = 12 different outfits.
10
analogy
medium
If 'chair' is called 'table', 'table' is called 'bed', and 'bed' is called 'sofa', then what is generally used to sleep on?
A
Chair
B
Table
C
Bed
D
Sofa
Show answer
Answer: D
The thing we normally sleep on is a bed. Following the chain, 'bed' has been renamed 'sofa', so the answer — using the new names — is Sofa.
Mathematical Reasoning
MCQs — 10 Questions
(+2 / -1)
11
place-value
medium
The picture below shows two numbers, P and Q, on a place-value abacus (Th = Thousands, H = Hundreds, T = Tens, O = Ones). Compare P and Q, and fill in the box using <, > or =.
P ___ Q
A
=
B
>
C
<
D
Cannot be determined
Show answer
Answer: C
Counting the beads: P has Th 2, H 1, T 3, O 4, which is 2,134. Q has Th 2, H 1, T 4, O 3, which is 2,143. Comparing tens: 3 < 4, so P < Q.
12
fractions
hard
In the given figure, a rectangle is divided into 8 equal square parts. Some squares are fully shaded, and some are shaded along only half (split by a diagonal). What fraction of the rectangle is unshaded?
A
5/8
B
3/8
C
5/6
D
3/4
Show answer
Answer: A
2 squares are fully shaded (2 whole units), and 2 more squares are shaded along exactly half by a diagonal (0.5 + 0.5 = 1 whole unit). Total shaded = 2 + 1 = 3 out of 8 equal parts. So unshaded = 8 − 3 = 5 parts, giving the fraction 5/8.
13
geometry
medium
How many straight lines are there in the given figure?
A
4
B
6
C
8
D
5
Show answer
Answer: B
The square itself has 4 sides, and the 2 diagonals add 2 more straight lines, giving 4 + 2 = 6 lines in total.
14
arithmetic
easy
Ravi saves ₹235 every week. How much will he save in 7 weeks?
A
₹1,645
B
₹1,595
C
₹1,745
D
₹1,655
Show answer
Answer: A
235 × 7 = 1,645.
15
temperature
medium
A thermometer reads 18°C. If the temperature rises by 14°C, which of the following thermometers shows the new reading?
Options A–D show four thermometers with a scale from 0°C to 40°C.
Show answer
Answer: C
18°C + 14°C = 32°C. Reading the scales, thermometer C is the one filled up to the 32°C mark (A shows 28°C, B shows 30°C, D shows 36°C).
16
data-handling
medium
The pictograph below shows the number of apples picked by five friends. Study it carefully and answer the question.
How many of these friends picked more than 45 apples?
A
2
B
3
C
4
D
5
Show answer
Answer: B
Counting the icons and multiplying by 6: Aman = 9×6 = 54, Bina = 7×6 = 42, Chirag = 11×6 = 66, Deepa = 8×6 = 48, Esha = 5×6 = 30. Those above 45 are Aman (54), Chirag (66) and Deepa (48) — 3 friends.
17
data-handling
medium
Using the same pictograph as above, how many more apples did Aman and Esha together pick than Chirag?
A
12
B
16
C
18
D
20
Show answer
Answer: C
From the pictograph: Aman = 9×6 = 54, Esha = 5×6 = 30, Chirag = 11×6 = 66. Aman + Esha = 54 + 30 = 84. 84 − 66 = 18.
18
function-machine
hard
Find the missing number.
? → ×4 → +6 → ÷2 → −3 = 8
A
4
B
6
C
8
D
10
Show answer
Answer: A
Working backwards from 8: 8 + 3 = 11; 11 × 2 = 22; 22 − 6 = 16; 16 ÷ 4 = 4. So the missing number is 4.
19
measurement
medium
The picture below shows the quantity of water in three containers, P, Q and R. Find the total quantity of water in all three containers.
A
3 L 750 mL
B
3 L 650 mL
C
2 L 750 mL
D
4 L 50 mL
Show answer
Answer: A
Reading the scales: P = 1,250 mL, Q = 1,500 mL, R = 1,000 mL. Total = 1,250 + 1,500 + 1,000 = 3,750 mL = 3 L 750 mL.
20
division
medium
If we divide the greatest 4-digit number by the smallest 2-digit number, then we get:
A
Quotient = 999, Remainder = 9
B
Quotient = 990, Remainder = 99
C
Quotient = 999, Remainder = 0
D
Quotient = 900, Remainder = 999
Show answer
Answer: A
The greatest 4-digit number is 9,999 and the smallest 2-digit number is 10. 9,999 ÷ 10 = 999 with remainder 9 (since 999 × 10 = 9,990, and 9,999 − 9,990 = 9).
Everyday Mathematics
MCQs — 10 Questions
(+4)
21
word-problem
medium
Sohan bought 32 story books and 48 comic books for his class library. If he arranged all of them into 8 equal rows, how many books did he arrange in each row?
A
8
B
10
C
12
D
16
Show answer
Answer: B
Total books = 32 + 48 = 80. Arranged into 8 equal rows: 80 ÷ 8 = 10 books per row.
22
geometry
hard
The given figure shows a little house. How many straight lines are needed to draw the whole figure?
A
19
B
22
C
25
D
27
Show answer
Answer: B
Square base: 4 lines. Triangular roof adds its 2 slanted sides. Chimney rectangle: 4 lines. Door rectangle: its bottom edge lies exactly on the square's base line, so it adds only its 3 remaining sides (top + 2 sides). Two window squares: 4 lines each = 8 lines. Ground line: 1 line.
Total: 4 + 2 + 4 + 3 + 8 + 1 = 22.
23
money
easy
Kavya saved ₹1,840 in the month of June and ₹2,975 in the month of July. How much more money did she save in July than in June?
A
₹1,135
B
₹1,235
C
₹1,035
D
₹1,145
Show answer
Answer: A
2,975 − 1,840 = 1,135.
24
fractions
medium
A parking lot has 45 cars. Out of these, 27 are white and the rest are black. Find the fraction of black cars, in its simplest form.
A
2/5
B
3/5
C
3/8
D
5/9
Show answer
Answer: A
Black cars = 45 − 27 = 18. Fraction = 18/45, which simplifies (divide by 9) to 2/5.
25
calendar
medium
Priya has a music class on March 20. If March 5 falls on a Monday, then on which day of the week does March 20 fall?
A
Sunday
B
Monday
C
Tuesday
D
Wednesday
Show answer
Answer: C
March 20 is 15 days after March 5. 15 = 2 full weeks (14 days) + 1 day, so 15 days after a Monday is Tuesday.
26
measurement
medium
Anita bought 22 kg 400 g of rice. She used 9 kg 650 g of it for a school event. How much rice is left with her?
A
12 kg 750 g
B
13 kg 250 g
C
12 kg 650 g
D
11 kg 750 g
Show answer
Answer: A
22 kg 400 g = 22,400 g and 9 kg 650 g = 9,650 g. 22,400 − 9,650 = 12,750 g = 12 kg 750 g.
27
place-value
easy
Neha has number cards 7, 3, 9, and 1. Which of the following is the largest possible 4-digit number that can be formed using all the cards, each digit used only once?
A
9713
B
9731
C
7931
D
9371
Show answer
Answer: B
To form the largest number, arrange the digits from largest to smallest: 9, 7, 3, 1 → 9731.
28
word-problem
medium
180 people are standing in a queue at a fair. 65 people buy tickets and leave the queue. Then 40 more people join the queue. How many people are there in the queue now?
A
155
B
145
C
165
D
175
Show answer
Answer: A
180 − 65 = 115 people remain, then 115 + 40 = 155 people join the queue.
29
temperature
medium
On Monday, the temperature of a town was 22°C. It decreased by 9°C on Tuesday and increased by 5°C on Wednesday. Find the temperature on Wednesday.
A
16°C
B
18°C
C
20°C
D
13°C
Show answer
Answer: B
Tuesday: 22°C − 9°C = 13°C. Wednesday: 13°C + 5°C = 18°C.
30
fractions
hard
Farah wrote the following digits in her notebook:
2 5 1 4 2 3 5 1 4 2 5 3 1 4 2 5 3 1 4 2
Find the difference between the fraction of digit 2 and the fraction of digit 3 in this list.
A
1/10
B
1/20
C
2/10
D
3/20
Show answer
Answer: A
There are 20 digits in total. Digit 2 appears 5 times (fraction 5/20 = 1/4), and digit 3 appears 3 times (fraction 3/20). The difference is 5/20 − 3/20 = 2/20 = 1/10.
Achievers Section
MCQs — 5 Questions
(+5)
31
time
hard
A dance show started at quarter past 6 in the evening and ended at ten minutes to 9. Riya left the show 40 minutes before it ended, and Tanvi left 15 minutes before Riya.
Based on the above information, match Column X with Column Y and select the CORRECT option.
A
(p)-(2); (q)-(1); (r)-(3)
B
(p)-(4); (q)-(1); (r)-(3)
C
(p)-(2); (q)-(3); (r)-(1)
D
(p)-(4); (q)-(3); (r)-(1)
Show answer
Answer: A
The show ran from 6:15 p.m. to 8:50 p.m., a duration of 2 hours 35 minutes — (p)-(2). Riya left 40 minutes before it ended: 8:50 − 0:40 = 8:10 p.m. — (q)-(1). Tanvi left 15 minutes before Riya: 8:10 − 0:15 = 7:55 p.m. — (r)-(3).
32
money
hard
The table shows the amount spent by Aditi and Rohan in a month.
(p) How much more did Rohan spend on Travel and Entertainment together than Aditi?
(q) What is the difference between Rohan's total spending and Aditi's total spending?
A
(p) ₹450, (q) ₹200
B
(p) ₹350, (q) ₹200
C
(p) ₹450, (q) ₹300
D
(p) ₹500, (q) ₹250
Show answer
Answer: A
Rohan's Travel + Entertainment = 1,100 + 850 = 1,950. Aditi's = 900 + 600 = 1,500. Difference = 450, so (p) = ₹450.
Total spending: Aditi = 4,500+2,200+900+600 = 8,200; Rohan = 4,500+1,950+1,100+850 = 8,400. Difference = 200, so (q) = ₹200.
33
mixed-review
hard
Which of the following statements is INCORRECT?
(p) In the word ELEPHANT, the fraction of vowels is 3/8.
(q) In the given figure, a regular hexagon is divided into 6 equal parts. The difference between the unshaded and shaded fraction is 1/3.
(r) If P = 3/5 of 40 and Q = 2/3 of 18, then the value of P − Q is 14.
The figure shown is for statement (q).
A
Only (p)
B
Only (q)
C
Only (r)
D
Both (q) and (r)
Show answer
Answer: C
(p) is true: ELEPHANT has 8 letters, 3 of them vowels (E, E, A) → 3/8.
(q) is true: shaded = 2/6, unshaded = 4/6, difference = 2/6 = 1/3.
(r) is false: P = 3/5 × 40 = 24, Q = 2/3 × 18 = 12, so P − Q = 12, not 14.
Only (r) is incorrect.
34
data-handling
hard
The bar graph below shows the number of storybooks read by five children in a month. Study it carefully and answer the following.
(p) The number of storybooks read by Kabir, Ishaan and Zara together is ___.
(q) The number of storybooks read by Meher is ___ fewer than Priya and ___ more than Zara.
A
(p) 32; (q) 8 fewer, 2 more
B
(p) 30; (q) 8 fewer, 2 more
C
(p) 32; (q) 6 fewer, 2 more
D
(p) 30; (q) 6 fewer, 4 more
Show answer
Answer: A
(p) Kabir + Ishaan + Zara = 14 + 11 + 7 = 32.
(q) Priya − Meher = 17 − 9 = 8 fewer. Meher − Zara = 9 − 7 = 2 more.
35
place-value
hard
Read the given statements carefully and state T for true and F for false.
(p) The place value of digit 6 in the number 6,381 is the same as the face value of digit 6 in the number 2,689.
(q) The expanded form of the greatest 4-digit number formed using the digits 4, 7, 1 and 9 (each digit used once) is 9000 + 700 + 40 + 1.
(r) The number name of the smallest 3-digit odd number is "One hundred and one".
A
(p) F, (q) T, (r) T
B
(p) T, (q) T, (r) F
C
(p) F, (q) F, (r) T
D
(p) T, (q) F, (r) F
Show answer
Answer: A
(p) Place value of 6 in 6,381 is 6,000; face value of 6 in 2,689 is just 6. These are not equal, so (p) is False.
(q) The greatest 4-digit number from 4, 7, 1, 9 is 9,741, and its expanded form is 9000+700+40+1. True.
(r) The smallest 3-digit odd number is 101, whose number name is 'One hundred and one'. True.