Logical Reasoning
MCQs — 10 Questions
(+1)
1
coding
easy
If 💻 means 🖌️, 🖌️ means 🎷 and 🎷 means ♞, then ________ is a musical instrument.
Answer: A
The saxophone 🎷 is the musical instrument. In this code, 🖌️ means 🎷, so the saxophone is called 🖌️ (brush).
2
mirror-images
easy
Select the CORRECT mirror image of the given figure.
Answer: C
The mirror is on the right, so the figure flips left to right. It stays the same way up. The dinosaur now faces the other way, as in C.
3
word-formation
easy
Form a meaningful English word from the given combination of letters and select the category of the word so formed.
G R T E I
Answer: D
The letters G, R, T, E, I make TIGER, which is an animal.
4
number-series
easy
Find the missing number in the given series.
Answer: A
The numbers go up by +3 and +6 in turn: 13 → 16 → 22 → 25 → 31 → 34 → 40.
So the missing number is 25 + 6 = 31.
5
odd-one-out
easy
Select the ODD one out.
Answer: D
We write or put up notices on a blackboard, a whiteboard and a display board. A cutting board is used in the kitchen to cut food.
6
time
medium
The given clock shows the time at which a concert ends in the evening. If it took 1 hour 40 minutes to finish the concert, then at what time did the concert start?
Answer: D
The clock shows 9:55 p.m.
9:55 − 1 hour = 8:55, and 8:55 − 40 minutes = 8:15 p.m.
7
positions
medium
If the positions of spinner S and M got interchanged, then spinner ________ is third to the left of second spinner from the right end.
Answer: C
After the swap the order is P R M X O J S N C F K.
The second spinner from the right end is F. Counting three to its left: C, N, S. So the answer is S.
8
directions
medium
Navya is facing towards Rail museum. What will she be facing, after taking a 3/4 turn anti-clockwise followed by a 7/8 turn clockwise?
Answer: A
3/4 turn anti-clockwise and then 7/8 turn clockwise leaves a net turn of 7/8 − 6/8 = 1/8 turn clockwise.
From the Rail museum, 1/8 turn clockwise brings her to the Water park.
9
figure-counting
hard
How many horizontal lines are there in the given word?
Answer: D
The letters are drawn in outline, so each bar has a top and a bottom edge.
Each E alone has 6 horizontal lines, so the two E's already give 12. T adds 3 more.
That is more than 10.
10
combinations
easy
How many different possible combinations of 1 doctor and 1 stethoscope each can be formed from the given doctors and stethoscopes?
Answer: C
There are 4 doctors and 5 stethoscopes. Each doctor can be paired with any of the 5 stethoscopes: 4 × 5 = 20.
Mathematical Reasoning
MCQs — 10 Questions
(+1)
11
perimeter
hard
Find the perimeter of the shaded part of the given figure.
Answer: C
Count the edges of shaded squares that touch a white square or the outside of the grid. There are 36 such edges.
Each edge is 3 cm, so the perimeter is 36 × 3 = 108 cm.
12
equations
medium
How much does 🍔 cost?
Answer: D
🧁 + 🧁 = ₹24, so 🧁 = ₹12.
🍬 + 🍕 + 🧁 = ₹75, so 🍬 + 🍕 = ₹63.
🍔 + 🍕 + 🍬 = ₹85, so 🍔 = 85 − 63 = ₹22.
13
data-handling
easy
Study the given pictograph which shows the number of plants watered by a group of students on 'Garden Care Day'.
How many fewer rose plants were watered than mint plants?
Answer: B
Mint = 8 × 6 = 48 and Rose = 4 × 6 = 24. So 48 − 24 = 24 fewer.
14
data-handling
medium
Refer to the pictograph in Q13. Find the fraction of the number of money plants and marigold plants together watered to the total number of plants watered altogether.
Answer: D
Money plant + Marigold = 5 + 7 = 12 symbols. Total = 5 + 3 + 7 + 4 + 8 = 27 symbols.
Fraction = 12/27 = 4/9.
15
roman-numerals
medium
Arrange the numbers on the given leaves in ascending order.
Answer: D
P = DCCCXLIV = 844, Q = CMXVI = 916, R = CDLXXXII = 482, S = CCCLV = 355.
Ascending: 355, 482, 844, 916, which is S, R, P, Q.
16
symmetry
medium
Which of the following figures has exactly two lines of symmetry?
Answer: B
Figure B can be folded along both its diagonals, so it has exactly 2 lines of symmetry.
A and C have only 1 (vertical) line of symmetry. D has none (it only looks the same after a half turn).
17
place-value
easy
Find the difference between the largest and the smallest 5-digit number formed by the digits 2, 0, 9, 1 and 5 (using each digit only once).
Answer: C
Largest = 95210. Smallest = 10259 (0 cannot be first).
95210 − 10259 = 84951.
18
weight
medium
Which of the following two boxes together weigh 6 kg 600 g?
Answer: A
Q + S = 4 kg 320 g + 2 kg 280 g = 6 kg 600 g.
19
abacus
medium
Refer to the given abacus and select the CORRECT option.
Answer: D
The abacus shows 5 TTh, 4 Th, 9 H, 8 T and 0 O, which is 54980.
The place value of 9 is 900, the ten thousands digit is 5, and the number name is fifty four thousand nine hundred eighty. All are correct.
20
fractions
hard
Which of the following figures has the same shaded fraction as the given figure?
Answer: B
The given triangle is made of 9 small triangles. The shaded parts add up to 1 + 1 + 3 = 5 of them, so 5/9 is shaded.
A: 4/6 = 2/3. B: 5 of 9 strips = 5/9. C: 4/8 = 1/2. So B matches.
Everyday Mathematics
MCQs — 10 Questions
(+1)
21
time
medium
A movie started at the time shown in the given clock in the evening. The first half lasted 1 hour 25 minutes. If there was an interval of 15 minutes, then find the duration of the second half, if the movie ended at 7:30 p.m.?
Answer: A
The clock shows 4:35 p.m. First half ends at 4:35 + 1 h 25 min = 6:00 p.m. The interval ends at 6:15 p.m.
Second half = 6:15 to 7:30 = 1 h 15 min.
22
place-value
easy
A two-wheeler has a price tag showing ₹ 65,302. The shopkeeper says, "The digit 5 in the price has a greater place value than the digit 3." By how much is the place value of 5 greater than the place value of 3?
Answer: B
Place value of 5 = 5000 and of 3 = 300. 5000 − 300 = 4700.
23
addition
medium
Ashima's savings in the year 2024 was ₹ 403750. Next year, her savings exceeded the previous year's savings by ₹ 75000. How much total amount of money did she save in both the years?
Answer: C
2025 savings = 403750 + 75000 = ₹478750.
Total = 403750 + 478750 = ₹882500.
24
perimeter
medium
Five identical square photo frames are placed side by side in a row. The total length around the outside of the new shape formed is 120 cm. What is the length of one side of each square frame?
Answer: C
The outside is 5 sides on top + 5 at the bottom + 1 on each end = 12 sides.
120 ÷ 12 = 10 cm.
25
fractions
medium
A basket had 72 mangoes. 5/9 of them were sold. If 15 mangoes were distributed among the children, then how many mangoes are left in the basket now?
Answer: A
5/9 of 72 = 40 sold, leaving 32. After giving away 15: 32 − 15 = 17.
26
comparing-numbers
easy
A survey report shows that there were 57690 trees planted in January, 64852 in February, 7589 in March and 45080 in April. In which of the following months, was the least number of trees planted?
Answer: C
7589 is the only 4-digit number, so it is the smallest. March had the least.
27
capacity
medium
A tank can hold 125 L of water. It already has 68 L 225 mL of water and then 23 L 850 mL more water is added. How much more water is needed to fill the tank?
Answer: C
Water in tank = 68 L 225 mL + 23 L 850 mL = 92 L 75 mL.
Needed = 125 L − 92 L 75 mL = 32 L 925 mL.
28
division
medium
Rachit had 1092 water bottles. He packed them equally into 14 cartons. Later, he sold 6 cartons. How many water bottles were left with him?
Answer: C
Each carton = 1092 ÷ 14 = 78 bottles. Cartons left = 14 − 6 = 8.
8 × 78 = 624 bottles.
29
fractions
hard
550 people visited the museum on Saturday and 445 people visited the museum on Sunday. If total number of men visited the museum on these two days is 405, then find the fraction of people who visited the museum in these two days are not men to the total number of visitors.
Answer: A
Total visitors = 550 + 445 = 995. Not men = 995 − 405 = 590.
590/995 = 118/199 (dividing both by 5).
30
geometry
easy
Aman folded a wire to make a shape with 5 straight sides. All the sides were not equal, but the wire joined back at the starting point. The shape must be a ________.
Answer: D
The wire joins back at the start, so it is a closed figure. It is made of 5 straight sides, so it is a polygon (a pentagon). The sides do not need to be equal.
Achievers Section
MCQs — 5 Questions
(+2)
31
data-handling
hard
The given bar graph shows the amount of rainwater collected in different tanks of a school. Read the graph carefully and fill in the blanks.
(p) The fraction of amount of water collected in tanks Q and S together to the total amount of water collected in all the tanks is ________.
(q) The school wants to use the collected rainwater to water plants. If each plant needs 5 L of water, then ________ plants can be watered using the water of tanks P and T together.
Answer: B
P = 50 L, Q = 45 L, R = 65 L, S = 70 L, T = 85 L. Total = 315 L.
(p) Q + S = 115 L, so 115/315 = 23/63.
(q) P + T = 135 L, and 135 ÷ 5 = 27 plants.
32
factors-multiples
hard
Select the INCORRECT option.
Answer: D
A: 7 × 12 = 84 and 6 × 14 = 84. This is correct.
B: a number with exactly two factors is prime, not composite. Incorrect.
C: the first three odd primes are 3, 5 and 7, and 3 × 5 × 7 = 105, not 30. Incorrect.
So both B and C are incorrect.
33
length
hard
A sports academy planned a fitness trail using three routes: Route X, Route Y and Route Z. Route X is 4 km 350 m long. Route Y is 2 km 75 m shorter than Route X. Route Z is twice the length of Route Y, but 1250 m of Route Z is closed for repair. Based on above information, answer the following questions.
(i) What is the length of Route Y?
(ii) What is the usable length of Route Z?
(iii) If a student walks by using Route X and the usable part of Route Z, then how much more distance does he walk than Route Y?
Answer: C
(i) Y = 4 km 350 m − 2 km 75 m = 2 km 275 m.
(ii) Z = 2 × 2 km 275 m = 4 km 550 m. Usable = 4 km 550 m − 1 km 250 m = 3 km 300 m.
(iii) X + usable Z = 4 km 350 m + 3 km 300 m = 7 km 650 m. 7 km 650 m − 2 km 275 m = 5 km 375 m.
34
fractions
hard
Refer to the given figures, match the following and select the CORRECT option.
Column-X
(P) The equivalent fraction of unshaded fraction of figure M is ________.
(Q) The difference between the shaded fraction of figure M and the unshaded fraction of figure N is ________.
(R) The number of more rectangles need to be unshaded in figure N to make 3/11 as shaded fraction is ________.
Column-Y
(i) 3/22
(ii) 4
(iii) 16/32
(iv) 5
Answer: D
Figure M has 8 triangles and 4 are shaded, so shaded = unshaded = 1/2. (P) 1/2 = 16/32, which is (iii).
Figure N has 11 rectangles and 7 are shaded, so unshaded = 4/11.
(Q) 1/2 − 4/11 = 11/22 − 8/22 = 3/22, which is (i).
(R) For 3/11 to be shaded, 3 rectangles stay shaded, so 7 − 3 = 4 more must be unshaded, which is (ii).
35
number-sense
hard
Read the given statements carefully and state T for true and F for false.
(i) The largest 3-digit number made up by all different digits when rounded off to nearest hundreds place becomes 1000.
(ii) The Roman numeral DCCXCCVII is meaningless.
(iii) In the number 75259, the place value of digit at tens place and thousands place is same.
Answer: B
(i) The number is 987, which rounds to 1000. True.
(ii) XC cannot be followed by C, so DCCXCCVII is not a valid numeral. True.
(iii) Tens digit 5 has place value 50, and thousands digit 5 has place value 5000. These are not the same. False.