Logical Reasoning
MCQs — 15 Questions
(+1)
1
symmetry
easy
How many line(s) of symmetry is/are there in the given figure?
Answer: B
Fold the figure along the horizontal line through its middle: the top half lands exactly on the bottom half, with green on green and orange on orange.
A vertical fold does not work because the left side has green parts and the right side has orange parts.
So there is only 1 line of symmetry.
2
directions
medium
Sonali is facing towards the bank. She makes 3/8 turns towards her left and then rotates 270° clockwise. What will she be facing now?
Answer: A
A full turn is 360°, so 3/8 turn = 135°. Turning left (anticlockwise) by 135° and then 270° clockwise is the same as turning 270° − 135° = 135° clockwise in total.
The places are 45° apart. Going clockwise from the Bank: Shopping complex (45°), Airport (90°), Water park (135°).
She faces the Water park.
3
figure-matrix
medium
Select a figure from the options which will complete the given figure matrix.
Answer: B
In every row the figure turns 45° anticlockwise from one box to the next (the shading turns with it).
Row 3: the stem points down, then down-right, so next it points right. The shaded half (on the left when the stem points down) turns to the bottom.
So the missing figure has its stem pointing right with the lower half shaded.
4
time
easy
Ronak left his house in the morning at the time shown on the given clock. He reached his office by travelling 65 minutes by car and 10 minutes by walking. At what time did he reach office?
Answer: D
The clock shows 7 : 40 a.m.
Total travel time = 65 + 10 = 75 minutes = 1 hour 15 minutes.
7 : 40 + 1 hour 15 minutes = 8 : 55 a.m.
5
logical-order
easy
Arrange the given words in a logical order and then select the appropriate sequence from the options.
1. Street
2. District
3. Town
4. House
5. Country
Answer: B
From biggest to smallest: Country (5) → District (2) → Town (3) → Street (1) → House (4).
Sequence: 5, 2, 3, 1, 4.
6
analogy
medium
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.
88 : 17 :: 118 : ?
Answer: A
88 = 17 × 5 + 3.
So the second number satisfies ? × 5 + 3 = 118, giving ? × 5 = 115 and ? = 23.
7
water-image
medium
Select the CORRECT water image of the given combination of letters and symbols.
GH@M$T&N
Answer: C
A water image is the reflection in water below the object: each symbol is turned upside down but stays in the same place, left to right.
Option A is a mirror image (order reversed), option B is turned upside down and reversed, and option D swaps & and $.
Option C keeps the order G H @ M $ T & N with each symbol flipped upside down.
8
coding-decoding
easy
In a certain code language, if BUCKET is coded as UBKCTE, then how will PRAYER be coded in the same code language?
Answer: B
BUCKET is split into pairs BU | CK | ET, and the letters in each pair swap places: UB | KC | TE.
PRAYER → PR | AY | ER → RP | YA | RE = RPYARE.
9
blood-relations
easy
Pointing towards a man, a lady said, "His son's grandmother is my mother-in-law." How is the man related to that lady, if he has no sibling?
Answer: C
The man's son's grandmother (on the man's side) is the man's mother.
She is the lady's mother-in-law, so the lady is married to her son. As the man has no brothers, that son must be the man himself.
The man is the lady's husband.
10
number-series
easy
Select a number from the options which will complete the given number pattern.
7, 14, 42, 168, ?, 5040, 35280
Answer: D
Multiply by 2, 3, 4, 5, 6, 7 in turn:
7 × 2 = 14, 14 × 3 = 42, 42 × 4 = 168, 168 × 5 = 840, 840 × 6 = 5040, 5040 × 7 = 35280.
The missing number is 840.
11
calendar
easy
If 5th day from today is Monday, then what day will it be on 21st day from today?
Answer: C
The 21st day is 21 − 5 = 16 days after the 5th day.
16 = 2 weeks + 2 days, so it is 2 days after Monday, which is Wednesday.
12
alphanumeric-series
hard
If all the vowels are removed from the given arrangement, then which element will be seventh to the left of eighth element from the right end?
3 R 6 * 5 B @ 7 T U D # G K 9 1 L P E C % F H
Answer: A
Remove the vowels U and E:
3 R 6 * 5 B @ 7 T D # G K 9 1 L P C % F H (21 elements).
The 8th element from the right end is 9 (H, F, %, C, P, L, 1, 9).
Counting 7 more to the left of 9: K, G, #, D, T, 7, @.
The answer is @.
13
odd-one-out
medium
Select the odd one out.
Answer: C
In each pair the letter's position in the alphabet is double the number: L = 12 = 6 × 2, T = 20 = 10 × 2, H = 8 = 4 × 2.
For 7P, 7 × 2 = 14 = N, but P = 16. So 7P is the odd one out.
14
venn-diagram
medium
Which of the following Venn diagrams best represents the relationship amongst, "Dentists, Doctors and Females"?
Answer: B
Every dentist is a doctor, so the Dentists circle lies inside the Doctors circle.
Some doctors and some dentists are female, and some females are neither, so the Females circle overlaps both.
This is shown in option B.
15
word-formation
easy
Which of the following words CANNOT be formed from the letters of the given word?
ADVERTISEMENT
Answer: C
ADVERTISEMENT has the letters A, D, V, E, R, T, I, S, E, M, E, N, T. There is no letter O.
VENDOR needs an O, so it cannot be formed. DESERVE (three Es), NATIVE and INVERT can all be formed.
Mathematical Reasoning
MCQs — 20 Questions
(+1)
16
prime-factors
medium
The sum of distinct prime factors of 5544 is a/an
Answer: C
5544 = 2 × 2 × 2 × 3 × 3 × 7 × 11.
Distinct prime factors: 2, 3, 7, 11. Sum = 2 + 3 + 7 + 11 = 23, which is a prime number.
17
decimals
easy
Compare the following and fill the box.
12.372 + 4.643 ☐ 18.754 − 1.739
Answer: B
12.372 + 4.643 = 17.015
18.754 − 1.739 = 17.015
Both sides are equal, so the sign is =.
18
perimeter
easy
Arrange the following in descending order according to their perimeters and select the CORRECT option.
Answer: D
P = 2 × (4 + 3) = 14 cm
Q is a square of side 4 cm: 4 × 4 = 16 cm
R = 2 × (3 + 6) = 18 cm
Descending order: R (18), Q (16), P (14).
19
symmetry
easy
Which of the following shapes do not have any line of symmetry?
Answer: D
Shape A has a line of symmetry through the middle of its mouth.
Shapes B and C cannot be folded so that both halves match, so neither has a line of symmetry.
The answer is Both B and C.
20
time
easy
A domestic flight departs from city A at 4 : 40 a.m. It takes 2 hours 50 minutes to reach city B. It stops for 50 minutes there and then it takes 1 hour 20 minutes to reach city C. At what time will it reach city C starting from city A?
Answer: B
4 : 40 + 2 h 50 min = 7 : 30 a.m. (arrives at B)
7 : 30 + 50 min = 8 : 20 a.m. (leaves B)
8 : 20 + 1 h 20 min = 9 : 40 a.m. (arrives at C)
21
angles
medium
There are ________ less angles inside the figure (i) than in figure (ii).
Answer: A
Each corner of a closed figure gives one angle inside it.
Figure (i) has 7 corners, so 7 angles. Figure (ii) has 9 corners, so 9 angles.
9 − 7 = 2.
22
place-value
medium
Which of the following options is TRUE about the number shown on the given abacus?
Answer: D
Reading the beads: L = 3, TTH = 4, TH = 4, H = 3, T = 3, O = 2, so the number is 3,44,332.
A is false: the number is three lakh forty four thousand three hundred thirty two.
B is false: the digit at the thousands place is 4, and its place value is 4000, not 40000.
C is false: rounded to the nearest hundred, 3,44,332 becomes 3,44,300.
None of the statements A, B and C is true.
23
area
medium
Calculate the area of shaded part of the given figure.
Answer: B
Each small square is 2 cm × 2 cm = 4 sq. cm.
Count the shaded squares row by row (two half squares make one full square):
Row 1: 1 + ½ + ½ = 2, Row 2: 3 + ½ + ½ = 4, Row 3: 5, Row 4: 2, Row 5: 5, Row 6: 2, Row 7: 2.
Total = 22 squares.
Area = 22 × 4 = 88 sq. cm.
24
decimals
medium
Find the value of (850 hundredths + 89 tenths) − (720 hundredths − 49 tenths).
Answer: B
850 hundredths = 8.5 and 89 tenths = 8.9, so the first bracket = 8.5 + 8.9 = 17.4.
720 hundredths = 7.2 and 49 tenths = 4.9, so the second bracket = 7.2 − 4.9 = 2.3.
17.4 − 2.3 = 15.1.
25
symmetry
hard
Which of the following is/are the line(s) of symmetry of the given figure?
Answer: C
Fold along each line and check that every shaded square lands on a shaded square.
Along N (bottom-left to top-right): the two corner squares swap, the two squares near the top-right swap, and the squares on the line stay put, so it works.
Along L, M or O, the top-right shaded squares land on unshaded squares, so they are not lines of symmetry.
Only N is a line of symmetry.
26
large-numbers
easy
What must be added to 97859 to make half a million?
Answer: A
Half a million = 5,00,000.
500000 − 97859 = 402141.
27
fractions
hard
If P = 1 4/5 × 3 1/6 and Q = 3 1/6 × 2 1/5, then the value of Q − P is ________.
Answer: A
3 1/6 = 19/6, 1 4/5 = 9/5 and 2 1/5 = 11/5.
P = 9/5 × 19/6 = 171/30 and Q = 11/5 × 19/6 = 209/30.
Q − P = 38/30 = 19/15 = 1 4/15.
28
temperature
medium
The temperature of a certain place is 17°C less than the temperature shown on the given thermometer. Which of the following options shows 11°C more than the temperature of that place?
Answer: D
The thermometer shows 35°C.
The place is 17°C less: 35 − 17 = 18°C.
11°C more than that: 18 + 11 = 29°C.
29
fractions
medium
How many more squares must be shaded so that the given figure has 3/5 shaded fraction?
Answer: A
The grid has 25 squares. 3/5 of 25 = 15 squares must be shaded.
6 squares are already shaded, so 15 − 6 = 9 more are needed.
30
multiples
easy
6th multiple of 19 is ________ more than 9th multiple of 11.
Answer: B
6th multiple of 19 = 6 × 19 = 114.
9th multiple of 11 = 9 × 11 = 99.
114 − 99 = 15.
31
perpendicular-lines
medium
How many of the given letters have more than one pair of perpendicular lines?
Answer: D
E has 3 pairs (the upright line with each of the 3 arms), F has 2 pairs and H has 2 pairs.
S has no straight lines, A has no right angles, and I is a single line.
So 3 letters (E, F, H) have more than one pair.
32
pictograph
medium
450 girls were asked about their favourite games at school. Some girls told about their favourite games and they are shown in the given pictograph. However some girls did not reply.
Which one of the following is the correct pictorial representation for the girls who did not reply?
Answer: B
Pictures in the pictograph: 5 + 4 + 6 + 3 + 5 = 23, so 23 × 15 = 345 girls replied.
Girls who did not reply = 450 − 345 = 105 = 105 ÷ 15 = 7 pictures.
33
pictograph
easy
Use the pictograph from Question 32 (each picture represents 15 girls).
How many more girls like UNO and video games together than ludo?
Answer: C
UNO = 5 × 15 = 75, Video games = 5 × 15 = 75, so together = 150.
Ludo = 4 × 15 = 60.
150 − 60 = 90.
34
lcm
hard
Which pair of numbers has an L.C.M. of 72?
P. 9 Q. 24 R. 36 S. 18
Answer: C
L.C.M.(9, 24) = 72 ✓
L.C.M.(24, 36) = 72 ✓
L.C.M.(24, 18) = 72 ✓
L.C.M.(9, 36) = 36, L.C.M.(9, 18) = 18, L.C.M.(36, 18) = 36.
So the pairs are P, Q; Q, R and Q, S.
35
length
easy
The given figure shows the lengths of two sticks P and Q. How much longer is stick P than stick Q?
Answer: B
Stick P goes from 1.4 cm to 8.6 cm: 8.6 − 1.4 = 7.2 cm.
Stick Q goes from 2.2 cm to 7.8 cm: 7.8 − 2.2 = 5.6 cm.
7.2 − 5.6 = 1.6 cm.
Everyday Mathematics
MCQs — 10 Questions
(+1)
36
weight
medium
A box containing 8 packets of flour, each weighing 4 kg 500 gm and 10 packets of sugar, has a total weight 45.75 kg. The weight of empty box is 1.75 kg. What is the weight of 1 packet of sugar, if each packet weighs equal?
Answer: C
Flour = 8 × 4.5 kg = 36 kg.
Sugar = 45.75 − 36 − 1.75 = 8 kg.
One packet = 8 kg ÷ 10 = 0.8 kg = 800 g.
37
time
easy
Reena took 1/3 of an hour to draw a picture and 1/6 of an hour to colour it. In how much total time Reena completed her drawing?
Answer: D
1/3 hour = 20 minutes and 1/6 hour = 10 minutes.
Total = 30 minutes = 1/2 hour.
38
perimeter-area
medium
A rectangular frame has a length 20 cm and width 16 cm. A photo is placed inside it with 2 cm space left on all sides. The perimeter and area of photo respectively are ________.
Answer: C
The photo is 2 cm smaller on each side: length = 20 − 4 = 16 cm, width = 16 − 4 = 12 cm.
Perimeter = 2 × (16 + 12) = 56 cm.
Area = 16 × 12 = 192 sq. cm.
39
capacity
medium
Ketan had 8 L 320 mL of litchi juice. He gave 3/5 of it to his friends and poured the rest equally in 8 bottles. How many millilitres of litchi juice did each bottle contain?
Answer: B
8 L 320 mL = 8320 mL.
He kept 1 − 3/5 = 2/5 of it: 2/5 × 8320 = 3328 mL.
Each bottle = 3328 ÷ 8 = 416 mL.
40
temperature
easy
On a certain day, the temperature of Srinagar is 8.1°C and that of Guwahati is 24.8°C. Which state is hotter and by how much?
Answer: B
Guwahati is hotter. 24.8 − 8.1 = 16.7°C.
41
division
medium
A toy manufacturing company produces 27450 toys in the month of March and April together. If equal number of toys were produced everyday, then how many toys were produced on each day?
Answer: A
March has 31 days and April has 30 days: 61 days in all.
27450 ÷ 61 = 450 toys per day.
42
time
easy
Deepak goes for swimming classes on Monday, Wednesday and Friday every week. If each class lasts for 45 minutes, then how much total time did he spend in his swimming classes in two weeks?
Answer: C
3 classes a week for 2 weeks = 6 classes.
6 × 45 = 270 minutes = 4 hours 30 minutes.
43
rounding
easy
In an initiative, 43000 plants were planted. If the given number is the rounded off number (to nearest thousands), then what could be the original number of plants planted?
Answer: D
To the nearest thousand: 43564 → 44000, 43908 → 44000, 42390 → 42000, 42930 → 43000.
Only 42930 rounds to 43000.
44
calendar
medium
Seema's school was closed from 28th May to 19th June and Teena's school was closed from 2nd June to 25th June. Who had a longer vacation?
Answer: A
Seema: 28 to 31 May = 4 days, plus 1 to 19 June = 19 days, so 23 days.
Teena: 2 to 25 June = 24 days.
Teena had the longer vacation.
45
perimeter
easy
Priya wants to put a wooden border around a rectangular photoframe. If the length of the frame is 60 cm and its breadth is 30 cm, then what will be the cost of putting the border at ₹ 2 per cm?
Answer: A
Perimeter = 2 × (60 + 30) = 180 cm.
Cost = 180 × ₹ 2 = ₹ 360.
Achievers Section
MCQs — 5 Questions
(+3)
46
geometry
hard
Read the given statements carefully and state T for true and F for false.
(i) There are 7 pairs of parallel lines in the given figure.
(ii) The number of obtuse angles inside the given figure is 3.
(iii) There are 7 letters given below which have parallel lines.
V K E F M T H
Answer: C
(i) a, b, c are parallel (3 pairs: a-b, b-c, a-c) and l, m, n are parallel (3 pairs). d and e are not parallel. That is 6 pairs, so (i) is F.
(ii) The angle at the top and the angle at the bottom right are obtuse. The angle at the dent is more than 180°, so it is a reflex angle, not obtuse. That is 2 obtuse angles, so (ii) is F.
(iii) Only E, F, M and H have parallel lines (4 letters), so (iii) is F.
47
fractions
hard
Asha walked 3 1/4 km in the morning, 1 1/3 km in the afternoon, and then took rest. In the evening, she planned to walk 8 km in total for the day.
(p) How much did she walk till afternoon?
(q) How much more does she need to walk in the evening to complete her goal?
Answer: C
(p) 3 1/4 + 1 1/3 = 4 + 3/12 + 4/12 = 4 7/12 km.
(q) 8 − 4 7/12 = 3 5/12 km.
48
symmetry
hard
Match the figures given in Column-I with their number of line(s) of symmetry given in Column-II and select the CORRECT option.
Answer: B
(p) Only the vertical line through the middle works: 1 line → (iii).
(q) The yellow circles are at opposite corners and the pink triangles are at the top and right, so only the diagonal from bottom-left to top-right works: 1 line → (iii).
(r) The vertical and horizontal lines through the centre both work: 2 lines → (ii).
49
line-graph
hard
The given line graph shows the monthly sale of bikes in a bike showroom for the first six months of a year. Read the given graph carefully and answer the following questions.
(i) Which month had the second highest sale and by how much less than the highest sale?
(ii) How many less bikes were sold in January than in February and June together?
Answer: A
Sales: January 250, February 150, March 325, April 250, May 75, June 350.
(i) Highest is June (350), second highest is March (325). 350 − 325 = 25.
(ii) February + June = 150 + 350 = 500. 500 − 250 = 250.
50
distance
hard
The total distance from Karan's house to Neha's house is 3000 m. The distance from Karan's house to shopping mall is 4 times as far as from Karan's house to Neha's house.
(p) Karan travels from his house to Neha's house and then travels to the shopping mall with Neha. Find the total distance travelled by Karan.
(q) Find the total distance travelled by Neha from her house to the shopping mall and back to her house.
Answer: D
Karan's house to the mall = 4 × 3000 m = 12000 m = 12 km. Neha's house is on the way, so Neha's house to the mall = 12 − 3 = 9 km.
(p) Karan goes 3 km + 9 km = 12 km.
(q) Neha goes 9 km to the mall and 9 km back = 18 km.