Logical Reasoning
MCQs — 10 Questions
(+2 / -1)
1
time
easy
The given clocks show the time at which Reena went to play and came back home. For how much time did she play?
Answer: C
Reena went to play at 4:15 and came back at 6:45. From 4:15 to 6:15 is 2 hours and from 6:15 to 6:45 is 30 minutes, so she played for 2 hours 30 minutes.
2
word-formation
easy
Which of the following words CANNOT be formed using the letters of the given word?
Answer: B
IMMEDIATE contains the letters I, M, M, E, D, I, A, T, E. There is no L in it, so MELT cannot be formed.
3
solid-shapes
easy
Which of the following objects has 2 circular faces and 1 rectangular face?
Answer: D
A log is shaped like a cylinder. It has 2 flat circular faces, and its curved surface opens out into a rectangle.
4
number-pattern
easy
Find the missing number if same rule is followed in all the three figures.
Answer: C
The number in the middle is the product of the two outer numbers: 6 × 16 = 96 and 5 × 13 = 65. So 13 × ? = 91, which gives ? = 7.
5
embedded-figure
hard
In which of the following options, the given figure is exactly embedded as one of its parts?
Answer: C
In option C, a short horizontal line near the top, a steep line going down to the right from its left end, and the long slanting line rising to the right from that point together form the given figure.
6
alphabet-arrangement
easy
If all the vowels are removed from the given arrangement, then ______ is fourth from the left end.
P A L M E S G U Y I T K (Right)
Answer: B
Removing the vowels A, E, U and I leaves P L M S G Y T K. The fourth letter from the left is S.
7
odd-one-out
medium
Select the odd one out.
Answer: D
Figures A, B and C each have 4 yellow inner parts and 4 grey outer parts. Figure D has only 3 yellow inner parts, so it is the odd one out.
8
mirror-image
easy
Select the CORRECT mirror image of the given figure.
Answer: C
The mirror is on the right side, so the knight should face the opposite way but stay upright. Options A and B are upside down and option D is the same as the given figure.
9
coding-decoding
easy
If 'Earth' means 'Cloud', 'Cloud' means 'Sun' and 'Sun' means 'Moon', then ______ gives us rain?
Answer: C
Rain comes from clouds, and in this code 'Cloud' is called 'Sun'.
10
grouping
easy
How many groups of 6 telescopes each can be formed from the given telescopes?
Answer: A
There are 18 telescopes. 18 ÷ 6 = 3 groups.
Mathematical Reasoning
MCQs — 10 Questions
(+2 / -1)
11
place-value
easy
Compare and fill the box using >, < or =.
Answer: B
The place value of 4 in 9482 is 400. The digit at the thousands place in 90574 is 0, so its place value is 0. Since 400 > 0, the box is filled with >.
12
capacity
easy
If the bucket holds as much as the three jugs and one jug holds 2 litres, then what is the capacity of the bucket?
Answer: C
The bucket holds as much as 3 jugs, so its capacity is 3 × 2 = 6 litres.
13
fractions
hard
The unshaded fraction of the given figure is ______.
Answer: D
The big triangle is made of 16 small triangles, which is 32 halves. The shaded parts add up to 13 halves, so 32 − 13 = 19 halves are unshaded. The unshaded fraction is 19/32.
14
money
easy
Which of the following sets has equal amount of money?
Answer: A
P = 5 × ₹10 + 4 × ₹5 = ₹70.
Q = ₹10 + ₹50 + 2 × ₹5 = ₹70.
R = 2 × ₹20 + ₹10 = ₹50.
So P and Q have equal amounts.
15
pictograph
easy
Directions (Q15-16): The given pictograph shows the number of envelopes made by a group of 5 friends during summer vacations. Study the given pictograph carefully and answer the following question.
Who made maximum and minimum number of envelopes respectively?
Answer: B
Varun has the most symbols (7) and Manav has the fewest (3).
16
pictograph
medium
Directions (Q15-16): The given pictograph shows the number of envelopes made by a group of 5 friends during summer vacations. Study the given pictograph carefully and answer the following question.
Find the total cost of envelopes, if the cost of 1 envelope is ₹5.
Answer: A
Total symbols = 7 + 6 + 4 + 5 + 3 = 25, so the friends made 25 × 25 = 625 envelopes. The cost is 625 × ₹5 = ₹3125.
17
perimeter
medium
Find the missing value in the given figure (not drawn to scale), if the total length of the boundary of the given figure is 24 cm.
Answer: A
The right side is 1 + 4 = 5 cm tall, so the unlabelled step on the left is 5 − 2 − 2 = 1 cm.
Known sides: 2 + 1 + 1 + 1 + 1 + 4 + 4 + 2 + 3 = 19 cm.
So the missing side is 24 − 19 = 5 cm.
18
division
easy
If X is the remainder obtained on dividing 560 by 8 and Y is the sum of 520 and 8, then the value of X × Y is ______.
Answer: C
560 ÷ 8 = 70 exactly, so X = 0. Then X × Y = 0 × 528 = 0.
19
length
easy
The difference between the length of Kartik and Smriti is ______.
Answer: A
From the scale, Kartik is 100 cm tall and Smriti is 80 cm tall. The difference is 100 − 80 = 20 cm.
20
division
medium
48 ÷ 🙂 = 😟, if 🙂 is an even number and 😟 is also an even number. Then what could not be these two numbers?
Answer: B
Both numbers must be even. In option B, 🙂 = 3 is odd, so these cannot be the two numbers.
Everyday Mathematics
MCQs — 10 Questions
(+4)
21
multiplication
easy
There are 20 flats in a society. If the water consumption of each flat is 125 litres per day, then how much total water is consumed by all the flats in a day?
Answer: C
20 × 125 = 2500 litres.
22
perimeter
easy
Rohit walked around a square shaped garden of side 45 m. How much total distance did he cover in all?
Answer: B
Distance around a square = 4 × 45 = 180 m.
23
division
easy
Priyanka bought 125 chocolates. If she distributes the chocolates among her 15 students equally, then how many chocolates will be left with her?
Answer: D
15 × 8 = 120, and 125 − 120 = 5. So 5 chocolates will be left.
24
money
easy
Navya has ₹225 in her wallet. She wants to buy the given pair of shoes. How much more money does she need to buy the given pair of shoes?
Answer: C
The shoes cost ₹530. ₹530 − ₹225 = ₹305.
25
numbers
medium
Mrs. Sharma wrote a 4-digit number on the blackboard. Three students Anshu, Vishal and Badal said the following statements about the number.
Anshu: It is a 4-digit number but not the least.
Vishal: It is less than the largest 4-digit number but greater than 9997.
Badal: Its hundreds place digit is 9.
If all the three students said the truth, then find the number.
Answer: B
The largest 4-digit number is 9999. The only number less than 9999 and greater than 9997 is 9998. It is not the least 4-digit number and its hundreds digit is 9.
26
subtraction
easy
There are 1800 books placed in the library, out of which 250 are Hindi story books, 530 are literature books and rest are English story books. How many total English story books are there in the library?
Answer: C
250 + 530 = 780, and 1800 − 780 = 1020.
27
money
easy
Vishal saved ₹250 each month in the first six months of a year and saved ₹200 each month in the last six months of the same year. How much total amount did he save in the whole year?
Answer: D
6 × ₹250 = ₹1500 and 6 × ₹200 = ₹1200. Total = ₹2700.
28
temperature
easy
The temperature of a certain place in the morning was 27°C. If the temperature got decreased by 11°C in the night, then what was the temperature of that place at night?
Answer: A
27 − 11 = 16°C.
29
weight
medium
Diya weighs 54 kg 435 g and Kavya weighs 52 kg 412 g. Who weighs more and by how much?
Answer: D
Diya is heavier. 54 kg 435 g − 52 kg 412 g = 2 kg 23 g.
30
fractions
easy
Kirti bought 50 candies. She gave 10 candies to her sister and 15 candies to her brother. What fraction of total candies are left with her?
Answer: B
She gave away 10 + 15 = 25, so 50 − 25 = 25 are left. The fraction is 25/50.
Achievers Section
MCQs — 5 Questions
(+5)
31
place-value
medium
Which of the following statements is CORRECT?
P. The expanded form of the largest four-digit number is 9000 + 900 + 90 + 9.
Q. The smallest four-digit number that can be formed by using the digits 3, 0, 9 and 5 (using each digit only once) is 3059.
R. The place value of digit 2 in 7241 is 3 times the place value of digit 4 in 7241.
Answer: A
P is true: 9999 = 9000 + 900 + 90 + 9.
Q is true: 0 cannot be first, so the smallest number is 3059.
R is false: 200 is 5 times 40, not 3 times.
32
fractions
hard
Observe the given figures carefully and fill in the blanks.
(P) The sum of shaded fraction of figure X and unshaded fraction of figure Z is ______.
(Q) The number of more parts that should be unshaded in figure Z to make the shaded fraction as 3/12 is ______.
(R) Figure ______ has maximum shaded fraction.
Answer: D
Each figure has 12 equal parts. X has 4 shaded parts, Y has 8 and Z has 6.
(P) 4/12 + 6/12 = 10/12.
(Q) Z needs 3 shaded parts, so 6 − 3 = 3 more parts must be unshaded.
(R) Y has the most shaded parts (8/12).
33
bar-graph
medium
The given bar graph shows the marks scored by four friends in a weekly maths test. Study the graph carefully and answer the following questions.
(P) How many more marks were scored by Gaurav than Vansh?
(Q) Find the fraction of marks obtained by Mahima and Pooja together to the marks obtained by the four friends altogether.
Answer: A
Mahima 18, Gaurav 24, Pooja 12, Vansh 15.
(P) 24 − 15 = 9.
(Q) Mahima + Pooja = 30 and the total is 18 + 24 + 12 + 15 = 69, so the fraction is 30/69.
34
perimeter
hard
Arrange the given figures P, Q and R (not drawn to scale) in ascending order as per the total length of boundary of the figures and select the CORRECT option.
Answer: C
P: the unlabelled sides are 1 cm, 6 cm and 2 cm, so the boundary is 3 + 2 + 2 + 3 + 1 + 3 + 3 + 6 + 1 + 2 = 26 cm.
Q: 5 + 5 + 3 + 3 + 4 + 4 + 2 + 2 + 4 = 32 cm.
R: the unlabelled sides are 1 cm each, so the boundary is 6 + 1 + 2 + 2 + 3 + 1 + 9 + 1 + 3 + 2 + 2 + 1 = 33 cm.
Ascending order: P (26), Q (32), R (33).
35
time-calendar
hard
Read the given statements carefully and state T for True and F for False.
(a) The total number of hours in 5 weeks is 840.
(b) If the given clock is 17 minutes slow then the correct time is 5:28.
(c) If the day before yesterday was Tuesday, then eighth day from today will be Thursday.
Answer: D
(a) 5 × 7 × 24 = 840 hours, so it is true.
(b) The clock shows 5:15; 17 minutes later is 5:32, not 5:28, so it is false.
(c) Today is Thursday, so the eighth day from today is Friday. It is false.