Logical Reasoning
MCQs — 15 Questions
(+1)
1
embedded-figures
medium
Select a figure from the options which is NOT exactly embedded in the given figure as one of its parts.
Answer: C
A: the slanting line from the top-left corner, then the step (short horizontal, short vertical, long horizontal) is in the figure.
B: the small right triangle at the bottom, between the vertical line and the slanting line, is in the figure.
D: the arrow-head shape where the two slanting lines on the right cross is in the figure.
C: a vertical line with arms at both ends exists only as a full-height edge of the rectangle, which is taller than C. So C is not embedded.
2
coding
medium
In a certain code language, if 'EXPERT' is coded as 'YFFQUS', then how will 'REPORT' be coded in the same code language?
Answer: A
Split the word into pairs, swap the letters in each pair, then move each letter one step forward.
EX → XE → YF, PE → EP → FQ, RT → TR → US, giving YFFQUS.
REPORT: RE → ER → FS, PO → OP → PQ, RT → TR → US, giving FSPQUS.
3
combinations
easy
How many different possible combinations of 1 tennis ball and 1 tennis racket each can be formed from the given tennis balls and tennis rackets?
Answer: C
There are 5 tennis balls and 5 tennis rackets.
Each ball can go with any of the 5 rackets: 5 × 5 = 25 combinations.
4
water-image
medium
Select the CORRECT water image of the given word.
Answer: A
A water image turns every letter upside down but keeps the order of the letters and their left–right direction.
Only option A shows all five letters T, R, U, S, T flipped upside down with nothing flipped sideways.
5
logical-sequence
easy
Arrange the given words in a meaningful logical order and select the CORRECT option.
1. Month 2. Hour 3. Week 4. Day 5. Minute
Answer: D
From the shortest to the longest: Minute, Hour, Day, Week, Month = 5, 2, 4, 3, 1.
6
number-series
easy
Find the missing number in the given number pattern.
4, 7, 13, 25, 49, ?, 193
Answer: B
Each number is double the one before, minus 1: 4 × 2 − 1 = 7, 7 × 2 − 1 = 13, 13 × 2 − 1 = 25, 25 × 2 − 1 = 49.
49 × 2 − 1 = 97 and 97 × 2 − 1 = 193 ✓.
7
counting-figures
medium
How many minimum number of straight lines are required to draw the given figure?
Answer: A
Horizontal lines: top, middle and bottom = 3.
Vertical lines: the inner one and the right edge = 2.
Slanting lines: the two on the left end, the two that meet in the middle line, and the two that meet at the right = 6.
Total = 3 + 2 + 6 = 11.
8
calendar
easy
Mayank correctly remembers that he had visited a temple before 12th of May but after 7th of May 20XX. His wife correctly remembers that Mayank had visited the temple before 11th of May but after 8th of May. His sister correctly remembers that the date Mayank visited the temple was a single digit number. On which date did Mayank visit the temple?
Answer: D
Mayank: 8, 9, 10 or 11 May. Wife: 9 or 10 May. Sister: a single-digit date, so 9 May.
9
odd-one-out
medium
Select the odd one out.
Answer: C
In each card the number of arrows equals the number of dots in the circle: A has 5 and 5, B has 3 and 3, D has 4 and 4.
C has 8 arrows but only 6 dots, so C is the odd one out.
10
directions
easy
Harshita is facing towards East. She turns 180° anti-clockwise and then turns 135° anti-clockwise. Which direction is she facing now?
Answer: C
East, then turn 180° → West.
From West, turning anti-clockwise goes towards South: 45° → South-West, 90° → South, 135° → South-East.
11
word-formation
easy
Which of the following words can be formed from the letters of the given word?
ACCELERATE
Answer: D
ACCELERATE has no S, K or O, so SCARCE, TACKLE and ACTOR cannot be formed.
CREATE uses C, R, E, A, T, E, and all of these are in ACCELERATE.
12
blood-relations
easy
Ansh is the father of Tarun. Tarun is the brother of Nidhi and father of Deep. How is Ansh related to Deep?
Answer: A
Ansh is the father of Tarun, and Tarun is the father of Deep. So Ansh is Deep's grandfather.
13
analogy
easy
There is a certain relationship between the pair of numbers on the either side of : : . Identify the relationship between the given pair and find the missing number.
18 : 57 : : 21 : ?
Answer: B
18 × 3 + 3 = 57.
21 × 3 + 3 = 66.
14
time
easy
If the given clock is 32 minutes fast, then what will be the CORRECT time?
Answer: B
The clock shows 7 : 50. It is 32 minutes fast, so the correct time is 7 : 50 − 32 minutes = 7 : 18.
15
nets
easy
Which of the following solids is formed from the given net?
Answer: B
The net has 6 rectangular faces, and they are not all squares (the faces are of different sizes). Six rectangular faces fold into a cuboid.
Mathematical Reasoning
MCQs — 20 Questions
(+1)
16
area
hard
Find the area of the shaded part of the given figure.
Answer: D
Each small square is 2 cm × 2 cm = 4 sq. cm.
The curved piece on the left (a 2 × 2 block of squares minus a quarter circle) is exactly the same size as the unshaded curved corner at the bottom. Move it there.
The shaded part becomes the trapezium to the right of the third vertical line: 3 squares wide, 5 squares tall on the left and 2 squares tall on the right.
Area = 3 × (5 + 2) ÷ 2 = 10.5 squares = 10.5 × 4 = 42 sq. cm, which is not given in options A–C.
17
lines
easy
How many pairs of parallel lines are there in the given figure?
Answer: A
The two horizontal lines are parallel, and the two lines slanting up to the right are parallel. The fifth line is not parallel to any other.
So there are 2 pairs.
18
abacus
easy
The number shown on the given abacus is the successor of ________.
Answer: C
The abacus shows L = 4, TTh = 8, Th = 2, H = 5, T = 3, O = 6, which is 482536.
It is the successor of 482536 − 1 = 482535.
19
symmetry
medium
Which of the following squares must be shaded so that the given figure has LM as a line of symmetry?
Answer: B
Reflect every shaded square in the dashed line LM.
The shaded square in the second row, first column reflects onto the square marked P, which is not shaded. Every other shaded square already has a shaded partner.
So P must be shaded.
20
data-handling
easy
DIRECTIONS (20-21): The given bar graph shows the number of story books read by five students of a class in a year. Study the given graph carefully and answer the following questions.
Which two students read the same number of story books?
Answer: C
Ritika 20, Sumit 14, Sneha 18, Vinod 16, Kanika 20.
Ritika and Kanika both read 20 books.
21
data-handling
medium
DIRECTIONS (20-21): The given bar graph shows the number of story books read by five students of a class in a year. Study the given graph carefully and answer the following questions.
Find the fraction of number of story books read by Sumit and Sneha together to the number of story books read by Ritika, Vinod and Kanika altogether?
Answer: B
Sumit + Sneha = 14 + 18 = 32.
Ritika + Vinod + Kanika = 20 + 16 + 20 = 56.
32/56 = 4/7.
22
fractions
easy
How many parts of the given figure must be shaded so that 2/5 of the figure is unshaded?
Answer: C
The figure has 25 hexagons.
If 2/5 is unshaded, then 3/5 is shaded: 3/5 × 25 = 15.
23
comparison
medium
Compare and fill the box using >, < or =.
591721 + 382410 − 198720 ☐ 702543 + 254000 − 137932
Answer: C
Left side: 591721 + 382410 = 974131, and 974131 − 198720 = 775411.
Right side: 702543 + 254000 = 956543, and 956543 − 137932 = 818611.
775411 < 818611.
24
measurement
easy
Find the difference between the lengths of two given pencils.
Answer: D
Upper pencil: from 3 cm to 9.5 cm = 6.5 cm.
Lower pencil: from 1 cm to 8 cm = 7 cm.
Difference = 7 − 6.5 = 0.5 cm.
25
perimeter
medium
ABCD is a rectangle (not drawn to scale) of perimeter 28 m. Two triangular corners have been cut away as shown in the figure. What is the perimeter of the shaded figure?
Answer: B
AF = FB = 4 m, so AB = 8 m. Length + breadth = 28 ÷ 2 = 14 m, so AD = BC = 6 m.
ED = 6 − 3 = 3 m and GC = 6 − 3 = 3 m. EF = 5 m, because the cut corner is a 3-4-5 right triangle like the other one.
Perimeter = EF + FG + GC + CD + DE = 5 + 5 + 3 + 8 + 3 = 24 m.
26
roman-numerals
easy
Which of the following is the SMALLEST?
Answer: D
MXCIX = 1099, CMLXII = 962, MCMXLIII = 1943, CCCIV = 304.
The smallest is CCCIV.
27
decimals
easy
Which of the following options is correctly arranged in descending order?
Answer: C
19.91 > 19.72 > 19.50 > 19.28, so only option C goes from largest to smallest.
28
symmetry
medium
Which of the following figures has/have a line of symmetry?
Answer: D
P (λ) has no line of symmetry.
Q (ϒ) has a vertical line of symmetry, R (Ɛ) has a horizontal one and S (π) has a vertical one.
So Q, R and S have a line of symmetry. None of options A–C says this.
29
factors-multiples
medium
Which of the following is the GREATEST?
Answer: B
HCF(10, 30) = 10. LCM(15, 25) = 75. The first common multiple of 9 and 12 is 36. 35 = 5 × 7, so its greatest prime factor is 7.
The greatest is 75.
30
angles
medium
There are ________ obtuse angles inside the given figure.
Answer: C
The figure has 7 corners. Going round it: the top-left corner is acute, the dip at the top is a reflex angle, the top-right peak is obtuse, the right corner is about a right angle, and the bottom-right corner is obtuse. Of the two corners at the bottom-left, the one on the bottom edge is obtuse and the left end is acute.
Obtuse angles = 3.
31
weights
easy
If the first balance shows X and Y balancing 18 kg, and the second balance shows X and X balancing 16 kg, then find the weight of Y.
Answer: B
2 × X = 16 kg, so X = 8 kg.
X + Y = 18 kg, so Y = 18 − 8 = 10 kg.
32
decimals
easy
What should be added to the sum of 14.851 and 35.28 to get 60.758?
Answer: C
14.851 + 35.280 = 50.131.
60.758 − 50.131 = 10.627.
33
estimation
easy
Find the estimated sum of 509824 and 235738 by rounding off each number to the nearest thousands place.
Answer: C
509824 → 510000 and 235738 → 236000.
510000 + 236000 = 746000.
34
angles
easy
The sum of two right angles is a/an ________.
Answer: C
90° + 90° = 180°, which is a straight angle.
35
capacity
easy
The capacity of a big container is 18 L 750 mL which is completely filled with water. The water gets poured into 25 small containers equally. Find the quantity of water in each small container.
Answer: D
18 L 750 mL = 18750 mL.
18750 ÷ 25 = 750 mL.
Everyday Mathematics
MCQs — 10 Questions
(+1)
36
time
easy
A plane departs from Delhi at 13:10 hours and arrives Hyderabad at 15:25 hours. Find the duration of the journey.
Answer: A
From 13:10 to 15:25 is 2 hours 15 minutes = 120 + 15 = 135 minutes.
37
perimeter
easy
A wire of length 480 m is rebent into 5 identical rectangles. Find the length of the rectangle, if its breadth is 12 m.
Answer: B
Perimeter of each rectangle = 480 ÷ 5 = 96 m.
Length + breadth = 96 ÷ 2 = 48 m, so the length = 48 − 12 = 36 m.
38
subtraction
easy
Amit received an order of 4507890 toy cars to be manufactured in a month. Due to shortage of man power, he could deliver only 3954600 toy cars. How many toy cars has he not delivered?
Answer: D
4507890 − 3954600 = 553290.
39
fractions
easy
Rohit's father bought a packet of 48 notebooks. If he gave 1/3 of notebooks to Rohit, then how many notebooks were left with him?
Answer: D
1/3 of 48 = 16 notebooks given to Rohit.
Left with his father = 48 − 16 = 32.
40
comparison
easy
The number of mobile phones sold by a company during years 2021, 2022 and 2023 were 175890, 389105 and 299199 respectively. In which year, the least number of mobile phones were sold?
Answer: B
175890 < 299199 < 389105, so the fewest phones were sold in 2021.
41
measurement
medium
The height of a stack of 4 identical pizza boxes is 16 cm. What is the height of 115 such boxes stacked on top of each other?
Answer: C
Each box is 16 ÷ 4 = 4 cm high.
115 × 4 = 460 cm = 4.6 m.
42
factors-multiples
easy
The jersey number of Aniket is the 11th multiple of 7 and that of Satvik is 7th multiple of 17. Find the HCF of the two numbers.
Answer: B
Aniket: 7 × 11 = 77. Satvik: 17 × 7 = 119.
77 = 7 × 11 and 119 = 7 × 17, so HCF = 7.
43
area
medium
Ritik ran along a square field and covered 576 m in 2 rounds. What was the area of that field?
Answer: A
One round (perimeter) = 576 ÷ 2 = 288 m, so each side = 288 ÷ 4 = 72 m.
Area = 72 × 72 = 5184 sq. m.
44
decimals
easy
The weight of a fruit basket is 27.05 kg and the weight of a pile of books is 13.521 kg. By what weight is the fruit basket heavier than the pile of books?
Answer: C
27.050 − 13.521 = 13.529 kg.
45
place-value
easy
Rohit has three balls having digits written on them as 5, 3 and 1. What will be the GREATEST 6-digit number that can be formed by using the given digits (use each digit at least once)?
Answer: D
Use 3 and 1 only once each, and fill the other places with 5s. Put the digits in decreasing order: 555531.
(555555 does not use 3 and 1.)
Achievers Section
MCQs — 5 Questions
(+3)
46
decimals
hard
Read the given statements carefully and select the CORRECT option.
Statement-I : The value of 97.125 + 47.391 − 25.682 when rounded off to nearest hundredths place is 119.
Statement-II : If a = 38.273 and b = 21.138, then the sum of a + b and a − b is 76.546.
Answer: D
I: 97.125 + 47.391 = 144.516, and 144.516 − 25.682 = 118.834. Rounded to hundredths this is 118.83, not 119, so Statement-I is false.
II: (a + b) + (a − b) = 2a = 2 × 38.273 = 76.546, so Statement-II is true.
47
perimeter
hard
The given figure is made up of 10 identical rectangles. Find the perimeter of
(i) each rectangle.
(ii) the whole figure.
Answer: A
Let each rectangle be l × b. The middle column has 2 rectangles standing up (height 2l) beside columns of 4 lying flat (height 4b), so l = 2b.
Width: l + b + l = 25 cm → 5b = 25 → b = 5 cm, l = 10 cm.
(i) 2 × (10 + 5) = 30 cm.
(ii) The figure is 25 cm × 20 cm, so its perimeter = 2 × (25 + 20) = 90 cm.
48
data-handling
hard
The given line graph shows the number of different types of decorative items made by five students. Study the given graph carefully and answer the following questions.
(i) How many less decorative items were made by Nikita than the total number of decorative items made by Priya and Monika together?
(ii) What fraction of decorative items were made by Rashi and Sonali together to the number of decorative items made by all the students?
Answer: C
Rashi 40, Priya 20, Nikita 44, Sonali 32, Monika 52.
(i) Priya + Monika = 72, and 72 − 44 = 28.
(ii) Rashi + Sonali = 72. Total = 40 + 20 + 44 + 32 + 52 = 188. 72/188 = 18/47.
49
data-handling
hard
The given table shows the amount of milk consumed by the children of an orphanage. Observe the given data carefully and select the INCORRECT option.
Answer: D
A: The minimum is on Tuesday (17 L 250 mL), not Friday (17 L 500 mL). Incorrect.
B: 20 L 150 mL + 23 L 800 mL = 43 L 950 mL. Correct.
C: 25 L 300 mL − 18 L 250 mL = 7 L 50 mL, not 7 L 500 mL. Incorrect.
So both A and C are incorrect.
50
number-sense
hard
Read the given statements carefully and state T for true and F for false.
(i) The number name for the number 8253791 in International system of numeration is Eight million two hundred fifty three thousand seven hundred ninety one.
(ii) The Roman numeral for 2875 is MMDCCCLV.
(iii) The place value of encircled digit in 75③69782 is 300000.
Answer: A
(i) 8,253,791 = eight million two hundred fifty three thousand seven hundred ninety one. True.
(ii) 2875 = MMDCCCLXXV. MMDCCCLV is 2855. False.
(iii) In 75369782 the 3 is in the hundred-thousands place, so its value is 300000. True.