Logical Reasoning
MCQs — 15 Questions
(+1)
1
alphanumeric-series
medium
If all the digits are removed from the given arrangement, then which of the following elements will be exactly between the fifth element from the left end and the fifth element from the right end?
V T 4 @ K 7 # G R 2 + J A 6 F $ 3 S
Answer: B
After removing the digits: V T @ K # G R + J A F $ S (13 elements).
5th from the left = #. 5th from the right = J.
Between # and J are G, R, +. The one exactly in the middle is R.
2
time
easy
The given clock shows the time at which the class-test started in the morning. If the class-test ended at 1 : 20 p.m., then what was the duration of the test?
Answer: C
The clock shows 11 : 35 a.m.
11 : 35 a.m. to 12 : 35 p.m. = 1 hour, and 12 : 35 p.m. to 1 : 20 p.m. = 45 minutes.
Duration = 1 hour 45 minutes.
3
odd-one-out
medium
Select the odd one out.
Answer: D
Go clockwise round each card (top-left → top-right → bottom-right → bottom-left).
In A, B and C the small shape turns 90° clockwise at every step.
In D the shaded half goes left → top → right → top. The last one should be at the bottom, so D breaks the pattern.
4
coding
easy
In a certain code language, if 'SMART' is written as 'AMRST', then how will 'VALUE' be written in the same code language?
Answer: B
The letters of SMART are written in alphabetical order: A, M, R, S, T.
The letters of VALUE in alphabetical order are A, E, L, U, V → AELUV.
5
counting-figures
hard
Find the number of triangles formed in the given figure.
Answer: B
Name the big triangle ABC (A at the top, B bottom-left, C bottom-right). P is on AC, Q is on BC below P, the line BP is drawn, and E is on BP.
Triangles: ABC, ABP, BPC, BPQ, PQC, the small triangle at B on the left (cut off by the short line), the small triangle at C on the right, and the two triangles formed by the line from E to Q (one at B and one at P).
Total = 9.
6
blood-relations
easy
Pointing towards Alok, a man said, "He is the brother of my only daughter." How is the man related to Alok?
Answer: A
Alok is the brother of the man's daughter, so Alok is the man's son.
The man is Alok's father.
7
dictionary-order
easy
Arrange the given words as they occur in a dictionary and select the CORRECT option.
1. Motive 2. Mind 3. Marine 4. Movie 5. Metal
Answer: B
Second letters: Marine (a), Metal (e), Mind (i), Motive and Movie (o).
Motive comes before Movie because t comes before v.
Order: Marine, Metal, Mind, Motive, Movie = 3, 5, 2, 1, 4.
8
figure-matrix
medium
Find the missing figure in the given figure matrix.
Answer: D
In each row the number of dots on every side goes 1, 2, 3, and the shape points in opposite directions in neighbouring columns.
In the third row, the first figure points left and the second points right, so the missing figure points left and has 3 dots on every side. That is option D (option C has only 2 dots on the slanting sides).
9
mirror-image
medium
Select the CORRECT mirror image of the given combination of letters and numbers.
Answer: C
The mirror is on the right, so the order is reversed and every character is flipped left to right, but not upside down.
Reading left to right the image is: reversed 7, reversed G, reversed 1, A, reversed 2, reversed B. That is option C.
10
calendar
easy
If the day before yesterday was Wednesday, then what will be the sixth day from tomorrow?
Answer: A
Day before yesterday = Wednesday, so yesterday = Thursday, today = Friday and tomorrow = Saturday.
Six days after Saturday is Friday.
11
rotation
medium
Which of the following options will be obtained after rotating the given figure 3¼ turns to the right?
Answer: D
3 full turns bring the figure back to where it started, so only the ¼ turn (90° clockwise) matters.
The arrow pointing right will point down, and the striped block on the left will move to the top. That is option D.
12
directions
easy
Which of the following points is in the North-West of point J?
Answer: D
North is at the top. North-West of J means up and to the left, on the diagonal.
Y is 1 step up and 1 step left of J, and Q is 2 steps up and 2 steps left of J.
So both Y and Q are North-West of J.
13
patterns
medium
Study the given patterns carefully. What will be the number of blocks in Pattern 9?
Answer: B
Pattern 1 = 4 blocks, Pattern 2 = 9 blocks, Pattern 3 = 14 blocks. Each pattern has 5 more blocks than the one before.
Pattern 9 = 4 + 8 × 5 = 44.
14
combinations
easy
How many different possible combinations of 1 teacher and 1 subject each can be formed from the given teachers and subjects?
Answer: A
There are 5 teachers and 4 subjects.
Each teacher can be paired with any of the 4 subjects: 5 × 4 = 20 combinations.
15
analogy
medium
There is a certain relationship between the pair of terms on either side of : : . Identify the relationship on the left pair and find the missing term.
T4M : X8Q : : E2V : ?
Answer: C
T + 4 = X, 4 + 4 = 8, M + 4 = Q.
So E + 4 = I, 2 + 4 = 6, V + 4 = Z → I6Z.
Mathematical Reasoning
MCQs — 20 Questions
(+1)
16
fractions
easy
Which of the following is equivalent to 3/5?
Answer: D
75/125: divide both by 25 → 3/5.
17
abacus
medium
The number name for the number shown on the given abacus in International system of numeration is ________.
Answer: C
Beads: L = 7, TTh = 2, Th = 6, H = 4, T = 1, O = 2, so the number is 726412.
In the International system: 726,412 = seven hundred twenty six thousand four hundred twelve.
(Option A is the Indian-system name.)
18
word-problem
medium
Tank A contains 5 times as much water as Tank B. How much water must be transferred from Tank A to Tank B so that each tank contains 45 litres of water?
Answer: A
Total water = 45 + 45 = 90 litres = 6 parts, so 1 part = 15 litres.
Tank A = 75 litres and Tank B = 15 litres.
Transfer 75 − 45 = 30 litres.
19
angles-clock
medium
The smaller angle formed between the hands of the given clock is a/an ________.
Answer: C
The clock shows 7 : 15. The minute hand is at 3 and the hour hand is a little past 7.
From 3 to 7 is 4 spaces of 30° = 120°, plus a little more (127½°).
This is more than 90° and less than 180°, so it is an obtuse angle.
20
area
medium
Find the area of the shaded part of the given figure.
Answer: D
Each small square is 4 m × 4 m = 16 sq.m.
Fully shaded squares = 8 and half-shaded squares = 6 (= 3 full squares).
Shaded area = 11 × 16 = 176 sq.m.
21
factors
medium
Which of the following is/are true about the number 30?
Answer: D
30 = 2 × 3 × 5, so it has three prime factors (true).
30 is not a multiple of 8 (false).
Factors: 1 + 2 + 3 + 5 + 6 + 10 + 15 + 30 = 72 (true).
So both A and C are true.
22
decimals
easy
Which of the following is the smallest?
Answer: B
A = 800.7, B = 50.15, C = 700.92, D = 700.07.
The smallest is B = 50.15.
23
temperature
easy
Which of the following options shows the temperature 23°C more than the temperature shown on the given thermometer?
Answer: D
Each small mark is 1°C. The thermometer shows 38°C.
38 + 23 = 61°C.
24
number-formation
medium
Find the difference between the greatest and the smallest 5-digit number formed by using the digits 3, 5, 2 and 9 (using each digit at least once).
Answer: C
Greatest: repeat the largest digit → 99532. Smallest: repeat the smallest digit → 22359.
99532 − 22359 = 77173.
25
data-handling
medium
DIRECTIONS (25-26): The given bar graph shows the number of gifts distributed by a company to its employees during the given five years. Study the given graph carefully and answer the following questions.
How many total gifts were distributed in the years 2016, 2018 and 2019 together?
Answer: A
2016 = 450, 2018 = 525, 2019 = 750.
450 + 525 + 750 = 1725.
26
data-handling
easy
DIRECTIONS (25-26): The given bar graph shows the number of gifts distributed by a company to its employees during the given five years. Study the given graph carefully and answer the following questions.
The maximum number of gifts were distributed in ________ and minimum in ________.
Answer: D
The tallest bar is 2019 (750) and the shortest bar is 2016 (450).
27
symmetry
medium
How many of the following letters have at least two lines of symmetry?
Answer: B
S, P and R have no line of symmetry. D and E have only one (horizontal).
Only I has two lines of symmetry (vertical and horizontal).
So the answer is 1.
28
roman-numerals
easy
Compare and fill the box using >, < or =.
MMCMLIX ☐ MMDCLXIV
Answer: A
MMCMLIX = 2000 + 900 + 50 + 9 = 2959.
MMDCLXIV = 2000 + 600 + 60 + 4 = 2664.
2959 > 2664.
29
perimeter
medium
Find the perimeter of the given figure (not drawn to scale).
Answer: B
Bottom = 2 + 2 + 1 + 1 = 6 cm. The inner vertical side = 6 − 2 = 4 cm.
Perimeter = 6 + 2 + 4 + 2 + 2 + 1 + 1 + 1 + 3 + 6 = 28 cm.
30
fractions
medium
What must be added to the sum of 5 5/11 and 3 2/33 to get 10 1/11?
Answer: A
5 5/11 + 3 2/33 = 5 15/33 + 3 2/33 = 8 17/33.
10 1/11 = 10 3/33 = 9 36/33.
9 36/33 − 8 17/33 = 1 19/33.
31
symmetry
medium
Which of the following figures does NOT have any line of symmetry?
Answer: B
A and C are symmetric about the diagonal from the top-left to the bottom-right.
D is symmetric about the horizontal line through the middle.
B has no line of symmetry.
32
rounding
easy
Round off the number 86258 to the nearest thousands place. Find the digit at hundreds place in the new number obtained.
Answer: B
The hundreds digit is 2 (less than 5), so 86258 rounds down to 86000.
The digit at the hundreds place is 0.
33
hcf
easy
The highest common factor of 75 and 600 is ________.
Answer: C
600 = 75 × 8, so 75 divides 600. The HCF is 75.
34
angles
medium
How many right angles are there inside the given figure?
Answer: B
The right angles inside the figure are at the bottom-left corner, the bottom-right corner and the corner at the top of the right side.
The two bottom corners of the notch are 270° inside the figure, and the corners at the slanting lines are not 90°.
So there are 3 right angles.
35
time
medium
The given clocks show the time at which a play started and ended in the evening. Find the duration of the play.
Answer: B
Play started at 6 : 45 and ended at 8 : 10.
6 : 45 to 7 : 45 = 1 hour, and 7 : 45 to 8 : 10 = 25 minutes.
Duration = 1 hour 25 minutes.
Everyday Mathematics
MCQs — 10 Questions
(+1)
36
subtraction
easy
The population of a country in year 2012 was 21568206. By year 2022, it was increased to 26075125. By how much did the population of the country increase in 10 years?
Answer: D
26075125 − 21568206 = 4506919.
37
time
easy
Manish took 12 mins 30 secs to run around a 800 m track. Raghav took 13 mins 45 secs to run around the same track. How much less time did Manish take to run around the track than Raghav?
Answer: B
13 mins 45 secs − 12 mins 30 secs = 1 min 15 secs.
38
multiplication
easy
Hemant bought 18 necklaces. If the number of beads in each necklace is 375, then find the total number of beads in all necklaces.
Answer: D
375 × 18 = 375 × 10 + 375 × 8 = 3750 + 3000 = 6750.
39
money
easy
Kritika bought 5 laptops and 2 printers for her office. If 1 laptop and 1 printer cost ₹ 37500 and ₹ 5250 respectively, then how much total money did she spend in all?
Answer: C
5 × 37500 = ₹ 187500 and 2 × 5250 = ₹ 10500.
Total = 187500 + 10500 = ₹ 198000.
40
area
medium
Divya cuts off 4 squares from edges of a rectangular piece of cardboard as shown below. The area of each small square that she cuts off is 4 sq. cm. What is the remaining area of the cardboard?
Answer: C
Area of the cardboard = 16 × 10 = 160 sq. cm.
Area cut off = 4 × 4 = 16 sq. cm.
Remaining area = 160 − 16 = 144 sq. cm.
41
roman-numerals
easy
If three friends Sakshi, Varun and Divij had DCCVII, CMXLII and MCLIV marbles respectively, then who has maximum number of marbles?
Answer: B
DCCVII = 707, CMXLII = 942, MCLIV = 1154.
Divij has the most marbles.
42
fractions
easy
Out of a group of 48 people, if 15 went for boating, 21 went for shopping and rest of them went for watching movie, then what fraction of total people went for watching movie?
Answer: A
People who watched a movie = 48 − 15 − 21 = 12.
Fraction = 12/48 = 1/4.
43
capacity
easy
A tea kettle holds 1 L 625 mL of tea. If a small tea cup of capacity 125 mL is used to serve one person, then for how many people tea can be served?
Answer: C
1 L 625 mL = 1625 mL.
1625 ÷ 125 = 13 people.
44
perimeter
medium
Amisha wants to put lace around 10 triangular shaped cushions. The sides of each cushion measures 50 cm, 50 cm and 80 cm. Find the total cost of lace used, if 1 cm of lace costs ₹ 7.50.
Answer: B
Lace for one cushion = 50 + 50 + 80 = 180 cm. For 10 cushions = 1800 cm.
Cost = 1800 × 7.50 = ₹ 13500.
45
decimals
medium
Sahil has two bags of wheat 14.259 kg and 35.608 kg. He was asked to add the two quantities but instead of adding, he subtracted the two quantities. Find the difference between the correct and incorrect answer.
Answer: C
Correct answer = 35.608 + 14.259 = 49.867 kg.
Incorrect answer = 35.608 − 14.259 = 21.349 kg.
Difference = 49.867 − 21.349 = 28.518 kg (which is 2 × 14.259).
Achievers Section
MCQs — 5 Questions
(+3)
46
roman-numerals
hard
Read the given statements carefully and select the CORRECT option.
Statement-I: The sum of CCLXXIV, CDXXIII and MMCXVII, when rounded off each number to nearest hundreds place is 2900.
Statement-II: The number 62579 when divided by 37 gives quotient as 1691 and remainder as 17.
Answer: B
Statement-I: CCLXXIV = 274 → 300, CDXXIII = 423 → 400, MMCXVII = 2117 → 2100. Sum = 2800, not 2900. False.
Statement-II: 37 × 1691 = 62567 and 62579 − 62567 = 12, so the remainder is 12, not 17. False.
47
data-handling
hard
The given line graph shows the number of watermelons transported to five different cities in a week. Study the graph carefully and answer the following questions.
(i) Find the difference between the total number of watermelons transported to cities P and R together and the number of watermelons transported to city T.
(ii) If the transportation cost of every 50 watermelons is ₹ 125, then find the total cost of transporting all the watermelons.
Answer: C
P = 1250, Q = 2500, R = 2000, S = 1500, T = 750.
(i) (1250 + 2000) − 750 = 2500.
(ii) Total = 1250 + 2500 + 2000 + 1500 + 750 = 8000 watermelons = 160 groups of 50. Cost = 160 × 125 = ₹ 20000.
48
symmetry
hard
Read the given statements carefully and state T for true and F for false.
(i) The number of lines of symmetry in a rectangle is 2.
(ii) In the given word, there are only 2 letters which have exactly one line of symmetry.
(iii) The given figure has two lines of symmetry.
Answer: D
(i) A rectangle has 2 lines of symmetry (vertical and horizontal). True.
(ii) In KITE, K, T and E each have exactly one line of symmetry and I has two. That is 3 letters, not 2. False.
(iii) Only the top part of the figure is shaded, so it has only one line of symmetry (the vertical one). False.
49
lines
hard
Observe the given figure carefully. Fill in the blanks and select the correct option.
(i) There is/are ________ pair(s) of parallel lines.
(ii) The number of pair of perpendicular lines is ________.
(iii) There are ________ pairs of intersecting lines.
Answer: A
(i) Parallel pairs: q and m, o and r = 2.
(ii) Perpendicular pairs: q ⊥ o, q ⊥ r, m ⊥ o, m ⊥ r = 4.
(iii) 6 lines make 6 × 5 ÷ 2 = 15 pairs. Taking away the 2 parallel pairs leaves 13. Lines p and m do not meet inside the figure, so the answer counts 12 pairs of intersecting lines.
50
number-sense
hard
Which of the following options is incorrect?
Answer: D
A: The sum of the place values is the number itself, 985720. 31 is the sum of the digits. Incorrect.
B: The smallest number is 20079 = twenty thousand seventy nine. Correct.
C: 982508 is greater than 825403, so the numbers are not in ascending order. Incorrect.
So both A and C are incorrect.