Logical Reasoning
MCQs — 10 Questions
(+1)
1
symmetry
medium
How many of the following figures have at least one line of symmetry?
Answer: B
1st figure: the vertical line through the top corner is a line of symmetry.
2nd figure: the arms of the L are of different lengths and widths, so it has no line of symmetry.
3rd figure: the horizontal line through the centre is a line of symmetry.
4th figure: the diagonal from the top-right corner to the bottom-left corner is a line of symmetry (the cut-off corners at top-left and bottom-right swap places).
5th figure: the square, the triangle and the circle do not match on any side, so it has none.
So 3 figures have a line of symmetry.
2
directions
medium
Ayushi is facing towards the Tennis court. If she takes 1/4 turn anti-clockwise and then 5/8 turn clockwise, then what will she be facing now?
Answer: A
The Tennis court is to her South-East.
1/4 turn (90°) anti-clockwise from South-East → North-East (School).
5/8 turn = 225° clockwise from North-East → East → South-East → South → South-West → West.
West is the Amusement park.
3
number-puzzles
medium
Find the missing number, if same rule is followed in all the three figures.
Answer: D
Number in the square = left × right + bottom.
6 × 3 + 2 = 20 and 4 × 9 + 3 = 39.
So ? = 8 × 5 + 6 = 46.
4
embedded-figures
medium
Select a figure from the options in which the given figure is exactly embedded as one of its parts.
Answer: A
In option A the vertical line on the left, the two lines that cross each other and the short closing line on the right together form exactly the given figure.
None of the other options has the short closing line joining the two crossing lines.
5
calendar
easy
Naina went for walk on every Monday, Thursday and Saturday in the month of October 20XX. If she walked in the morning and evening as well, then how many times did she go for walk in that month?
Answer: C
Mondays: 1, 8, 15, 22, 29 (5). Thursdays: 4, 11, 18, 25 (4). Saturdays: 6, 13, 20, 27 (4).
She walked on 5 + 4 + 4 = 13 days, twice a day: 13 × 2 = 26 times.
6
word-formation
easy
Form a meaningful English word from the given combination of letters and select the category of that word.
L, A, E, T, B
Answer: D
The letters L, A, E, T, B make TABLE, which is a piece of furniture.
7
alphabet-series
medium
If two stones M and E are removed from the given arrangement, then stone ________ is fourth to the left of second stone from the right end.
Answer: B
After removing E and M: C V R G K N S W.
Second from the right end = S.
Going left from S: N (1st), K (2nd), G (3rd), R (4th).
8
combinations
easy
How many different possible combinations of 1 laptop and 1 mouse each can be formed from the given laptops and mouses?
Answer: D
There are 4 laptops and 5 mouses. Each laptop can go with any of the 5 mouses: 4 × 5 = 20.
9
coding
medium
If 'Flute' means 'Guitar', 'Guitar' means 'Map', 'Map' means 'Shoes' and 'Shoes' means 'Ball', then ________ is used to find the location of a place.
Answer: B
A map is used to find the location of a place.
In this code, 'Map' means 'Shoes', so the answer is Shoes.
10
odd-one-out
easy
Select the odd one out.
A. GJ B. IK C. TW D. MP
Answer: B
G → J, T → W and M → P each skip 2 letters (G _ _ J: H, I).
I → K skips only 1 letter (J). So IK is the odd one out.
Mathematical Reasoning
MCQs — 10 Questions
(+1)
11
measurement
medium
IJKL and MNOP are two rectangles. Find the length of KP.
Answer: D
LK = IJ = 8 cm, so MK = LK − LM = 8 − 5 = 3 cm.
MP = NO = 12 cm, so KP = MP − MK = 12 − 3 = 9 cm.
12
rounding
easy
If P is the greatest 4-digit number that can be formed from the digits 9, 1, 0 and 7 (using each digit at least once), then what will be the round off value of P, when it is rounded off to the nearest hundreds place?
Answer: C
P = 9710. The tens digit is 1 (less than 5), so it rounds down to 9700.
13
geometry
easy
Veer plotted 3 points on a grid line. The three points together makes a ________.
Answer: A
The points are (1, 6), (3, 5) and (5, 4). Each time we move 2 right we go 1 down, so all three lie on one straight line.
14
time
medium
If the given clock is 45 minutes fast, then what will be CORRECT time after 2 hours 20 minutes?
Answer: A
The clock shows 7 : 10. It is 45 minutes fast, so the correct time now is 6 : 25.
After 2 hours 20 minutes: 6 : 25 + 2 : 20 = 8 : 45.
15
data-handling
medium
DIRECTIONS (15-16): The given bar graph shows the number of raincoats produced by a company in the given five years. Study the given graph carefully and answer the following questions.
If the total number of raincoats produced in the given five years is 22500, then how many raincoats were produced in 2023?
Answer: D
2019 = 5250, 2020 = 6000, 2021 = 3750, 2022 = 4500. Total = 19500.
2023 = 22500 − 19500 = 3000.
16
data-handling
easy
DIRECTIONS (15-16): The given bar graph shows the number of raincoats produced by a company in the given five years. Study the given graph carefully and answer the following questions.
Find the fraction of number of raincoats produced in the year 2020 to that in the year 2022.
Answer: A
2020 : 2022 = 6000/4500 = 4/3.
17
number-puzzles
medium
Using the given equations, find the value of the arrow.
Answer: A
Subtract the second equation from the first: circle = 189 − 147 = 42.
Circle − arrow = 12, so arrow = 42 − 12 = 30.
18
fractions
medium
Compare the following and select the CORRECT option.
1/4 + 5/6 + 3/12 ☐ 7/12 + 3/6 + 1/3
Answer: A
Left: 3/12 + 10/12 + 3/12 = 16/12.
Right: 7/12 + 6/12 + 4/12 = 17/12.
16/12 < 17/12.
19
capacity
easy
Arrange the following in descending order and select the CORRECT option.
P: 81 L 252 mL
Q: 20 L less than 70 L 520 mL
R: 15 L more than 80 L 250 mL
Answer: A
P = 81 L 252 mL, Q = 50 L 520 mL, R = 95 L 250 mL.
Descending: R, P, Q.
20
division
medium
On dividing the greatest 4-digit even number by 15, we get ________.
Answer: D
The greatest 4-digit even number is 9998.
15 × 666 = 9990, and 9998 − 9990 = 8. So quotient = 666, remainder = 8.
Everyday Mathematics
MCQs — 10 Questions
(+1)
21
multiplication
easy
Box X contained 1230 cards and box Y contained twice as many cards as box X. How many total cards do the two boxes contain?
Answer: B
Box Y = 2 × 1230 = 2460. Total = 1230 + 2460 = 3690.
22
time
easy
Puneet wanted to take the bus at 6:25 p.m. He arrived at the bus stop 40 minutes before 6:25 p.m. At what time did Puneet arrive at the bus stop?
Answer: B
6:25 p.m. − 25 minutes = 6:00 p.m., and 15 more minutes earlier = 5:45 p.m.
23
fractions
easy
Shruti and Payal shared a cake at a party. Shruti ate 1/3 of the cake while Payal ate 1/9 of the cake. What fraction of the cake did they eat altogether?
Answer: B
1/3 + 1/9 = 3/9 + 1/9 = 4/9.
24
money
easy
Mohit had ₹ 1950. He bought a book that costed ₹ 319, a toy that costed ₹ 280 and a pair of shoes. After buying these items, he had ₹ 780 left. How much did he pay for the pair of shoes?
Answer: A
319 + 280 + 780 = 1379.
Shoes = 1950 − 1379 = ₹ 571.
25
rounding
easy
When rounded off to the nearest 1000, the population of Sikkim becomes 608000. Which of the following could be the actual population of Sikkim?
Answer: A
Numbers from 607500 to 608499 round to 608000.
607688 is in this range. 607488 → 607000, 617695 → 618000, 608988 → 609000.
26
perimeter
easy
Rashi walked 4 times around a square field each side of which is 55 m long. How much total distance did she cover?
Answer: C
One round = 4 × 55 = 220 m. Four rounds = 4 × 220 = 880 m.
27
division
medium
Sumit gave 50 stickers to each of his student. He then has 20 stickers left. If he had bought 80 packets of 9 stickers each, then to how many students did he give the stickers?
Answer: B
Total stickers = 80 × 9 = 720. Given away = 720 − 20 = 700.
Students = 700 ÷ 50 = 14.
28
comparison
easy
The amount of money saved by Priya, Soham and Sukriti in a year was ₹ 1980, ₹ 3127 and ₹ 2950 respectively. Who saved maximum amount in that year?
Answer: A
3127 > 2950 > 1980, so Soham saved the most.
29
fractions
easy
2 out of 10 parts in a rectangle are shaded. Divya wants to shade 3/5 of the rectangle. How many more parts she needs to shade?
Answer: C
3/5 of 10 parts = 6 parts. 2 are already shaded, so 6 − 2 = 4 more.
30
capacity
easy
Gargi needs to drink 30 mL each of syrup two times in a day. How many days will she take to finish 540 mL bottle of syrup?
Answer: B
She drinks 2 × 30 = 60 mL a day. 540 ÷ 60 = 9 days.
Achievers Section
MCQs — 5 Questions
(+2)
31
symmetry
hard
How many minimum number of squares that must be shaded so that the given figure is symmetrical?
Answer: B
Try each possible line of symmetry and count the squares that are missing their shaded partner.
Vertical line: 7 squares. Horizontal line: 9 squares. Diagonal from top-left to bottom-right: 9 squares.
Diagonal from top-right to bottom-left: only 4 squares need shading (counting rows and columns from the top-left: row 4, column 6; row 4, column 4; row 3, column 1; and row 6, column 2).
The minimum is 4.
32
fractions
hard
There are 1750 students in a school. 2/5 of them are boys and rest are girls. 4/7 of the boys participated in different olympiads and 1/5 of the girls did not participate in any olympiad. Among the students who participated in olympiads, if 1/10 of the boys and 1/12 of the girls won the gold medal, then find
(i) How many of the students who participated in olympiad did not get gold medal?
(ii) How many more girls than boys won the gold medal?
Answer: B
Boys = 2/5 × 1750 = 700, girls = 1050.
Boys who participated = 4/7 × 700 = 400. Girls who participated = 4/5 × 1050 = 840. Total participants = 1240.
Gold: boys = 400 ÷ 10 = 40, girls = 840 ÷ 12 = 70.
(i) 1240 − 110 = 1130. (ii) 70 − 40 = 30.
33
data-handling
hard
The given pictograph shows the number of players applied from different cities for the selection of National Football team. Study the given pictograph carefully and answer the following questions.
(i) If each symbol stands for 400 players, then how many symbols will be used for city T?
(ii) The number of players applied from city ________ is (1/3)rd of the total number of players applied from cities Q and S.
Answer: A
P = 1200, Q = 1600, R = 1600, S = 2000, T = 2400.
(i) 2400 ÷ 400 = 6 symbols.
(ii) Q + S = 3600, and 1/3 of 3600 = 1200 = P.
34
factors-multiples
hard
Read the given statements carefully and state T for true and F for false.
(i) The LCM of 15 and 20 is same as the HCF of 30 and 60.
(ii) The sum of all the factors of the smallest 2-digit number is 171.
(iii) The estimated value of 995 × 79 when each number is rounded off to the nearest tens place is 80000.
Answer: B
(i) LCM(15, 20) = 60 but HCF(30, 60) = 30. False.
(ii) Factors of 10: 1 + 2 + 5 + 10 = 18. False.
(iii) 995 → 1000 and 79 → 80, and 1000 × 80 = 80000. True.
35
weights
hard
Observe the given picture carefully. The first scale shows a book and a bottle, the second shows two bottles and a football, and the third shows a book, a bottle and a football. What is the weight of 3 books + 2 footballs + 2 bottles?
Answer: B
Book + bottle = 500 g. Book + bottle + football = 800 g, so football = 300 g.
2 bottles + football = 650 g, so 2 bottles = 350 g and one bottle = 175 g. Book = 500 − 175 = 325 g.
3 books + 2 footballs + 2 bottles = 975 + 600 + 350 = 1925 g = 1 kg 925 g.