Logical Reasoning
MCQs — 10 Questions
(+2 / -1)
1
word-formation
easy
Select the combination of numbers so that the letters are arranged accordingly to form a meaningful English word.
E A T C R
1 2 3 4 5
Answer: A
3 = T, 5 = R, 2 = A, 1 = E, 4 = C. So 3, 5, 2, 1, 4 gives TRACE.
2
grouping
easy
How many groups of 5 mushrooms each can be formed from the given mushrooms?
Answer: B
There are 2 rows of 10 mushrooms, so 20 mushrooms in all. 20 ÷ 5 = 4 groups.
3
patterns
medium
Study the given patterns carefully. What will be the number of kites in Pattern 7?
Answer: D
Pattern 1 has 3 kites, Pattern 2 has 6 and Pattern 3 has 9. Each pattern adds 3 kites, so Pattern 7 has 7 × 3 = 21 kites.
4
mirror-image
easy
Select the CORRECT mirror image of the given figure, if the mirror is placed vertically to the right.
Answer: C
With the mirror on the right, the order of the characters reverses (0, 2, :, 8) and each one is flipped left to right. 0 and 8 look the same, but 2 faces the other way. Only option C shows this.
5
odd-one-out
medium
Select the odd one out.
Answer: C
A has 7 sides, B has 5 sides and D has 3 sides, which are all odd numbers. C is a hexagon with 6 sides, an even number. So C is the odd one out.
6
coding-decoding
easy
If watch is called cap, cap is called shoes and shoes is called coat, then we can wear ______ on head.
Answer: B
We wear a cap on our head, and in this code a cap is called 'shoes'.
7
calendar
easy
If Kshitij went for social work on every Friday, Saturday and Sunday of March 20XX, then for how many days did he go for social work?
Answer: B
Fridays: 5, 12, 19, 26. Saturdays: 6, 13, 20, 27. Sundays: 7, 14, 21, 28. That is 4 + 4 + 4 = 12 days.
8
embedded-figure
hard
Select a figure from the options which is exactly embedded in the given figure as one of its parts.
Answer: A
Start at the left end of the long horizontal line inside the circle. Go up to the left-hand peak, down to the horizontal line, then up the long line to the top of the circle. These lines together form figure A.
9
alphabet-matrix
easy
Which of the following figures will replace the question mark (?) in the given figure matrix?
Answer: C
Reading row by row, the letters skip one letter each time: A, C, E, G, I, K, M, O, Q. So the missing letter is I.
10
solid-shapes
easy
Which of the following objects has 6 faces and 8 corners?
Answer: C
A Rubik's cube is a cube, which has 6 faces and 8 corners. The ball, cone and gas cylinder have curved surfaces.
Mathematical Reasoning
MCQs — 10 Questions
(+2 / -1)
11
odd-even
easy
How many odd numbers lie inside the given cloud?
Answer: C
A number is odd if its ones digit is 1, 3, 5, 7 or 9. The odd numbers are 1541, 981, 1739 and 1211, so there are 4.
12
temperature
easy
The temperature shown on the thermometer is 28°F more than the room temperature. Find the room temperature.
Answer: C
The thermometer shows 42°F. The room temperature is 42 − 28 = 14°F.
13
corners
easy
Which of the following figures has the least number of corners?
Answer: D
A has 7 corners, B has 5 corners, C has 6 corners and D, a rectangle, has 4 corners. So D has the least.
14
bar-graph
easy
Directions (Q14-15): The given bar graph shows the number of different food items prepared by Mrs. Sharma for a birthday party. Study the graph carefully and answer the following questions.
How many total burgers and pastries were prepared by Mrs. Sharma?
Answer: C
Burgers = 80 and pastries = 100. 80 + 100 = 180.
15
bar-graph
easy
Directions (Q14-15): The given bar graph shows the number of different food items prepared by Mrs. Sharma for a birthday party. Study the graph carefully and answer the following questions.
How many more sandwiches and samosas were prepared than burgers?
Answer: D
Sandwiches + samosas = 60 + 70 = 130. Burgers = 80. 130 − 80 = 50.
16
missing-number
medium
Find the missing number.
Answer: B
Work backwards from 12: 12 × 5 = 60, then 60 − 12 = 48, then 48 ÷ 2 = 24.
Check: 24 × 2 = 48, 48 + 12 = 60, 60 ÷ 5 = 12. ✓
17
fractions
medium
Find the sum of shaded fractions of the given figures.
Answer: C
The circle has 8 equal parts and 2 are shaded, so it shows 2/8.
The triangle is made of 8 equal parts and 5 are shaded, so it shows 5/8.
Sum = 2/8 + 5/8 = 7/8.
18
division
easy
A video game costs ₹2550. Sonia saves ₹150 every week. How many weeks will she take to save money to buy the video game?
Answer: D
2550 ÷ 150 = 17 weeks.
19
weight
medium
Study the given figures carefully and find the weight of the dog.
Answer: A
2 cats weigh 9 kg, so one cat weighs 4 kg 500 g. The dog and a cat weigh 8 kg, so the dog weighs 8 kg − 4 kg 500 g = 3 kg 500 g.
20
place-value
medium
Compare and fill in the box.
4 hundreds 15 tens and 70 ones ☐ 3 hundreds 25 tens and 15 ones
Answer: A
Left: 400 + 150 + 70 = 620. Right: 300 + 250 + 15 = 565. 620 > 565.
Achievers Section
MCQs — 5 Questions
(+5)
31
perimeter
hard
The given figure is made up of 5 squares. Find the total length of boundary of the given figure.
Answer: B
All sides of a square are equal, so the squares have sides 4, 8, 10, 8 and 4 cm.
Bottom = 4 + 8 + 10 + 8 + 4 = 34 cm. The top edges also add up to 34 cm, and the up-and-down steps add up to 4 + 4 + 2 + 2 + 4 + 4 = 20 cm.
Boundary = 34 + 34 + 20 = 88 cm.
32
fractions
hard
The given figure shows the circles coloured with the colours written on them. Observe the given figure carefully and state T for true and F for false for the given statements. (Key: P-Purple; R-Red; O-Orange)
(p) The difference between the fraction of red coloured circles and that of orange coloured circles is 1/20.
(q) The fraction of purple coloured circles is 5/15.
Answer: C
There are 20 circles: 7 purple, 7 red and 6 orange.
(p) 7/20 − 6/20 = 1/20, so (p) is true.
(q) The fraction of purple circles is 7/20, not 5/15, so (q) is false.
33
place-value
hard
Fill in the blanks and select the CORRECT option.
(p) The largest 4-digit even number that can be formed by using the digits 2, 5, 1 and 3 each only once is ______.
(q) The smallest 4-digit number that can be formed by using the digits 4, 0, 6 and 9 (with repetition) is ______.
Answer: C
(p) An even number must end in 2. Arrange the other digits from largest to smallest in front: 5312.
(q) The first digit cannot be 0, so use the smallest non-zero digit 4, then repeat 0: 4000.
34
picture-equations
hard
Observe the given picture equations carefully. Find the cost of two T-shirts.
Answer: B
2 caps = ₹740, so one cap = ₹370.
Sunglasses + 2 caps = ₹1240, so sunglasses = ₹1240 − ₹740 = ₹500.
Sunglasses + cap + T-shirt = ₹1120, so T-shirt = ₹1120 − ₹500 − ₹370 = ₹250.
Two T-shirts = 2 × ₹250 = ₹500.
35
length
hard
Arrange the given ropes in descending order according to their lengths and select the CORRECT option.
Answer: B
S: 2 cm to 11 cm = 9 cm. R: 0 cm to 6 cm = 6 cm. Q: 4 cm to 14 cm = 10 cm. P: 2 cm to 9 cm = 7 cm.
Descending order: Q (10), S (9), P (7), R (6).