Logical Reasoning
MCQs — 10 Questions
(+2 / -1)
1
comparison
easy
Nisha is taller than Vani and Vani is taller than Pihu. Aarti is taller than Nisha. Who among the following is the SHORTEST?
Answer: A
From tallest to shortest the order is Aarti, Nisha, Vani, Pihu. So Pihu is the shortest.
2
paths
medium
In how many different ways, can the king reach the fort?
Answer: D
Follow the arrows from the king's corner to the exit on the right. The routes are:
1. bottom side, then up the right side
2. diagonal up, across to the bottom-right corner via the crossing, then up
3. diagonal up to the top-right corner, then down
4. up the left side, then the diagonal down to the bottom-right corner, then up
5. up the left side, the diagonal down to the crossing, then up to the top-right corner, then down
6. up the left side, along the top side, then down
7. up the left side, over the roof, then down
So the king can reach the fort in 7 ways.
3
embedded-figure
medium
Which of the following figures is NOT exactly embedded in the given figure as one of its parts?
Answer: B
The T, L and 1 shapes can all be traced along lines of the given figure (for example, the 1 is the upper half of the vertical line, with the top-left slanting side as its flag and the middle horizontal line as its base). The shape in option B needs three horizontal lines joined by short vertical lines, which the figure does not have.
4
classification
easy
Which of the following figures does NOT belong to Group (X)?
Answer: D
In Group X, each figure is a straight-sided shape with a striped circle inside it. In option D the outer figure is a circle and the striped figure inside is a square, so it does not belong to the group.
5
pattern-completion
medium
Select a figure from the options which will complete the given figure pattern.
Answer: C
The figure is symmetric about its middle lines. The missing top-right part must match the bottom-right part flipped upside down: a blue triangle along its right slanting side and a small green triangle near the top-left. Option C matches this.
6
calendar
easy
If today is third day from Monday, then tomorrow will be ______.
Answer: B
Counting Monday as the first day, the third day is Wednesday. So today is Wednesday and tomorrow will be Thursday.
7
word-formation
easy
Select the combination of numbers from the options in which the given letters are arranged accordingly to form a meaningful English word.
D G I E U
1 2 3 4 5
Answer: B
The meaningful word is GUIDE: G = 2, U = 5, I = 3, D = 1, E = 4. So the order is 2, 5, 3, 1, 4.
8
counting-figures
medium
Find the number of horizontal lines in the given figure.
Answer: A
Big rotor: its top and bottom edges are each cut into two by the circle, giving 4 lines. Small rotor: 4 lines in the same way. Tail: 2 lines. Body: 2 lines (top and bottom). Base stand: 2 lines. Total = 4 + 4 + 2 + 2 + 2 = 14.
9
odd-one-out
easy
Select the odd one out.
Answer: D
RQP, YXW and PON are each three letters in reverse alphabetical order. STU is in forward order, so it is the odd one out.
10
mirror-image
medium
Select the CORRECT mirror image of the given figure.
Answer: C
The mirror is on the right, so left and right swap but top and bottom stay the same. The yellow square stays at the top and the green square at the bottom, both now on the right. The arrow head that pointed to the bottom-right now points to the bottom-left, and the forked tail moves to the top-left. Option C shows this.
Mathematical Reasoning
MCQs — 10 Questions
(+2 / -1)
11
ordering-numbers
easy
Which of the following options shows the numbers arranged in descending order?
Answer: C
Descending order means from greatest to smallest: 758 > 652 > 419 > 358.
12
money
medium
Madhulika has some money in her piggy bank. She has the amount as shown.
Her friend Sonika has some rupee notes with her. She wants to exchange with Madhulika. Which of the amount shown below is same as Madhulika's amount?
Answer: C
Madhulika has five ₹2 coins (₹10), six ₹1 coins (₹6) and five ₹5 coins (₹25). Total = ₹10 + ₹6 + ₹25 = ₹41.
Option C: ₹1 + ₹10 + ₹10 + ₹20 = ₹41.
13
perimeter
medium
Find the total length of boundary of the given figure (not drawn to scale).
Answer: A
The unmarked vertical side = 8 − 3 − 3 = 2 cm.
Boundary = 6 + 8 + 8 + 3 + 4 + 2 + 2 + 3 = 36 cm.
14
pictograph
medium
Directions (Q14-15): The given pictograph shows the number of students who applied from different schools for a basketball team. Study the given graph carefully and answer the following questions.
From which of the following schools, the same number of students applied?
Answer: D
Each ball stands for 6 students. P = 8 × 6 = 48, Q = 4 × 6 = 24, R = 5 × 6 = 30, S = 10 × 6 = 60, T = 3 × 6 = 18. No two schools have the same number of students, so the answer is None of these.
15
pictograph
medium
Directions (Q14-15): The given pictograph shows the number of students who applied from different schools for a basketball team. Study the given graph carefully and answer the following questions.
Out of total students who applied, if only 12 students were selected for the basketball team, then how many students were not selected?
Answer: D
Total balls = 8 + 4 + 5 + 10 + 3 = 30, so total students = 30 × 6 = 180. Students not selected = 180 − 12 = 168.
16
fractions
easy
Some of the letters are written below.
P M R S G H K L U D V B O F S W T Z
What fraction of the above letters are vowels?
Answer: C
There are 18 letters. The vowels are U and O, which is 2 letters. So the fraction is 2/18.
17
multiplication
easy
Study the given number bond carefully. Find the value of P + Q.
Answer: D
Each product equals 18. 3 × P = 18 gives P = 6, and Q × 1 = 18 gives Q = 18. So P + Q = 6 + 18 = 24.
18
time
easy
Which of the following clocks shows 20 minutes past 5:00?
Answer: C
At 5:20 the minute hand points at 4 (20 minutes) and the hour hand is just past 5. Clock C shows this. Clock A shows 5:15, clock B shows 4:40 and clock D shows 4:20.
19
capacity
easy
Study the picture and fill in the blank: the kettle can hold ______ cups more than the jug.
Answer: C
The kettle fills 18 cups and the jug fills 12 cups. 18 − 12 = 6, so the kettle holds 6 cups more.
20
place-value
medium
The sum of place value of digits at thousands place of numbers in the given abacuses is ______.
Answer: C
The first abacus shows 3513 and the second shows 2735. The thousands digits are 3 and 2, with place values 3000 and 2000. Sum = 3000 + 2000 = 5000.
Everyday Mathematics
MCQs — 10 Questions
(+4)
21
perimeter
easy
An envelope made by Sakshi is in the shape of a square as shown here. If the total length of the boundary of envelope is 84 cm, then find the length of its one side.
Answer: A
A square has 4 equal sides. One side = 84 ÷ 4 = 21 cm.
22
addition
medium
There are 1050 strawberries in carton P and 258 more strawberries in carton Q than in carton P. How many total strawberries are there in both the cartons?
Answer: B
Carton Q has 1050 + 258 = 1308 strawberries. Total = 1050 + 1308 = 2358.
23
measurement
hard
15 pillars were built along a straight road at same distance apart. The distance between the first pillar and the last pillar is 210 m. What is the distance between the third pillar and the seventh pillar?
Answer: D
15 pillars have 14 gaps, so each gap = 210 ÷ 14 = 15 m. From the 3rd to the 7th pillar there are 4 gaps = 4 × 15 = 60 m. 60 m = 60 × 100 cm = 6000 cm.
24
odd-even
easy
A teacher asked five students to write 3-digit numbers on the board. The numbers written by the students are shown here. How many of the numbers written on the board are odd numbers?
Answer: A
A number is odd if its ones digit is 1, 3, 5, 7 or 9. The odd numbers are 141, 375 and 719, so there are 3.
25
fractions
easy
There are 17 birds in a cage, out of which 12 flew away. What fraction of total birds is still left in the cage?
Answer: C
Birds left = 17 − 12 = 5. Fraction left = 5/17.
26
money
easy
Ashima bought 2 sarees and 1 pair of heels from the market. How much total amount does she need to pay, if the cost of 1 saree and 1 pair of heels are shown here?
Answer: C
2 sarees cost 2 × ₹720 = ₹1440. Adding the heels: ₹1440 + ₹415 = ₹1855.
27
number-formation
easy
Sohan has two baskets full of some number tokens. He likes the numbers that are in red basket. Which of the following numbers is formed by using the digits given in basket which he likes?
Answer: B
The red basket has the digits 6, 5, 9 and 2. Only 6529 uses exactly these digits.
28
division
easy
A sugar sack is completely filled with 45 kg of sugar. If the sugar is equally packed into 9 small packets, then find the weight of sugar in each small packet.
Answer: C
Each packet = 45 ÷ 9 = 5 kg.
29
fractions
easy
Amit drew a shape using 7 straight lines and 3 curved lines. What fraction of total lines is straight lines?
Answer: D
Total lines = 7 + 3 = 10. Straight lines are 7 of them, so the fraction is 7/10.
30
multiplication
easy
Rohit feeds 15 dogs each day on different locations. How many dogs does he feed in 2 weeks?
Answer: C
2 weeks = 14 days. Dogs fed = 15 × 14 = 210.
Achievers Section
MCQs — 5 Questions
(+5)
31
capacity
medium
A barrel contains 4 litres of milk in it. If milk from 5 containers of type-P and 7 containers of type-Q are poured in it to fill it completely, then what is the capacity of the barrel?
Answer: A
Milk from type-P containers = 5 × 7 = 35 litres. Milk from type-Q containers = 7 × 4 = 28 litres. Capacity = 4 + 35 + 28 = 67 litres.
32
place-value
hard
Identify the four digit number using the given clues.
(i) Its ones place digit is 5 less than the greatest 1-digit even number.
(ii) Its tens place digit is hundreds place digit of (852 − 379).
(iii) Its hundreds place digit is 2 more than its ones place digit.
(iv) Its thousands place digit is the ones place digit of (171 + 821).
Answer: A
(i) The greatest 1-digit even number is 8, so the ones digit is 8 − 5 = 3.
(ii) 852 − 379 = 473, so the tens digit is 4.
(iii) The hundreds digit is 3 + 2 = 5.
(iv) 171 + 821 = 992, so the thousands digit is 2.
The number is 2543.
33
fractions
hard
Observe the given figures carefully and select the CORRECT option.
Answer: D
Figure P is made of 10 equal rectangles, which is 20 equal halves (each triangle is half a rectangle). Two whole rectangles (4 halves) and 7 triangles (7 halves) are shaded, so the shaded fraction is 11/20. A is true.
Figure Q is divided into 16 parts, of which 6 are unshaded: 6/16 = 3/8. B is true.
If the one unshaded rectangle of P is shaded, the shaded part becomes 13/20 and the unshaded part becomes 7/20. C is true.
So all of these are correct.
34
matching
medium
Match the following and select the CORRECT option.
Column-A
P. Place value of digit at tens place in the greatest 4-digit number is
Q. The smallest 4-digit number that can be formed by using the digits 3, 0, 1 and 8 (using each digit exactly once) is
R. The short form of 5000 + 700 + 20 + 9 is
Column-B
a. 5729
b. 90
c. 1038
Answer: B
P: The greatest 4-digit number is 9999; the tens digit 9 has place value 90 → b.
Q: The smallest number cannot start with 0, so it is 1038 → c.
R: 5000 + 700 + 20 + 9 = 5729 → a.
35
picture-equations
hard
Study the given picture equations and find the cost of 1 chocolate + 1 cake.
Answer: A
Equation 2: chocolate + 2 cakes + 2 cupcakes = ₹560, i.e. chocolate + 2 × (cake + cupcake) = ₹560.
Since cake + cupcake = ₹255, chocolate = 560 − 510 = ₹50.
Equation 1: 2 chocolates + 3 cakes = ₹640, so 3 cakes = 640 − 100 = ₹540 and 1 cake = ₹180.
Chocolate + cake = 50 + 180 = ₹230.