Logical Reasoning
MCQs — 10 Questions
(+1)
1
analogy
easy
There is a certain relationship between the pair of terms on the either side of ::. Identify the relationship in the left pair and find the missing term.
VHP : WGQ : : MSK : ?
Answer: C
V + 1 = W, H − 1 = G, P + 1 = Q.
So M + 1 = N, S − 1 = R, K + 1 = L → NRL.
2
directions
easy
A man starts walking towards East. After walking some distance, he turns right and walks some more distance. He finally turns right again and walks some more distance. Which direction is he facing now?
Answer: A
Facing East, a right turn makes him face South. Another right turn makes him face West.
3
cube-nets
medium
Which of the following is the NET of a cube?
Answer: B
A cube has 6 faces, so its net must have exactly 6 squares.
A has 5 squares, C has 7 and D has 5.
B has 6 squares in a 1-4-1 arrangement (a row of 4 with one square above and one below), which folds into a cube.
4
time
medium
If the given clock is 10 minutes slow, then the CORRECT time after 30 minutes will be ________.
Answer: C
The clock shows 8 : 20. It is 10 minutes slow, so the correct time now is 8 : 30.
After 30 minutes the correct time is 9 : 00, which is shown in clock C.
5
number-series
easy
Find the missing number in the given number pattern.
Answer: A
The differences are +35, +30, +25, +20, +15, +10.
175 + 15 = 190, and 190 + 10 = 200.
6
word-formation
easy
Which of the following words can be formed from the letters of the given word?
CALCULATOR
Answer: B
CALCULATOR has the letters C, A, L, C, U, L, A, T, O, R.
COURT uses C, O, U, R, T — all present.
CACTUS needs S, CALLER needs E and LUNCH needs N and H, which are not in CALCULATOR.
7
embedded-figures
medium
Which of the following figures is NOT exactly embedded in the given figure as one of its parts?
Answer: D
A, B and C can each be traced along the lines of the given figure.
The step shape in D (down, right, a short step up, then right) does not appear anywhere in the figure.
8
ranking
easy
In a class, Gopi ranks 7th from the top and 15th from the bottom. How many students are there in the class?
Answer: D
Total = 7 + 15 − 1 = 21 (Gopi is counted in both ranks).
9
mirror-images
medium
Select the CORRECT mirror image of the given word.
Answer: C
In a mirror placed on the left, the order of the letters reverses and every letter is flipped left-to-right: L A N I F, with L, N and F all flipped.
A does not flip N, B does not flip L and D does not flip F. Only C is correct.
10
coding
easy
In a certain code language, HOME is coded as @+6$ and MIND is coded as 6#7÷. How will MODE be coded in the same code language?
Answer: A
From the two codes: H = @, O = +, M = 6, E = $, I = #, N = 7, D = ÷.
MODE = 6 + ÷ $.
Mathematical Reasoning
MCQs — 10 Questions
(+1)
11
symmetry
easy
How many line(s) of symmetry is/are there in the given figure?
Answer: C
Fold the grid along the vertical, the horizontal or either diagonal: in every case some shaded squares land on unshaded ones.
So the figure has no line of symmetry.
12
weights
easy
Weight of an apple is ________ g.
Answer: B
9 balls weigh 18 g, so 1 ball = 2 g.
3 balls + apple = 28 g, so apple = 28 − 6 = 22 g.
13
hcf-lcm
easy
If M is the 5th multiple of 10 and N is the 4th multiple of 5, then find the HCF of M and N.
Answer: B
M = 5 × 10 = 50 and N = 4 × 5 = 20.
HCF of 50 and 20 = 10.
14
data-handling
medium
DIRECTIONS (14-15): The given pictograph shows the number of pastries made by Anand in five weeks. Study the graph carefully and answer the following questions.
How many more pastries did he make in weeks 2 and 5 together than in week 1?
Answer: A
Week 1 = 12 × 50 = 600, week 2 = 10 × 50 = 500, week 5 = 9 × 50 = 450.
500 + 450 − 600 = 350.
15
data-handling
medium
DIRECTIONS (14-15): The given pictograph shows the number of pastries made by Anand in five weeks. Study the graph carefully and answer the following questions.
If 5 pastries were packed in a box, then how many boxes will be needed to pack all the pastries?
Answer: D
Total = 600 + 500 + 400 + 350 + 450 = 2300.
2300 ÷ 5 = 460 boxes.
16
roman-numerals
easy
The Roman numeral for the greatest 3-digit number is ________.
Answer: C
The greatest 3-digit number is 999 = 900 + 90 + 9 = CM + XC + IX = CMXCIX.
17
fractions
medium
Which of the following figures has same fraction of unshaded part as the fraction of shaded part of the Fig. (X)?
Answer: C
In Fig. (X), 4 of the 8 triangles are shaded, so the shaded fraction is 4/8.
Unshaded fractions: A = 3/5, B = 1/3, C = 4/8, D = 3/4. So C matches.
18
rounding
medium
Find the estimated sum of the smallest and greatest 4-digit number that can be formed from the digits 7, 2, 5 and 3 (using each digit only once), when each number rounded off to the nearest hundreds place.
Answer: A
Smallest = 2357 → 2400. Greatest = 7532 → 7500.
2400 + 7500 = 9900.
19
geometry
easy
Which of the following is an open figure?
Answer: C
An open figure does not begin and end at the same point. Figure C has two loose ends, so it is open. A, B and D are closed.
20
time
medium
The given clock shows the time at which a train started its journey in the evening. After covering 25 minutes of journey, it stops for 15 minutes at the next station. Now, if it takes another 45 minutes to reach its destination, then at what time will it reach the destination?
Answer: D
The clock shows 7 : 15 p.m.
25 + 15 + 45 = 85 minutes = 1 hour 25 minutes.
7 : 15 p.m. + 1 hour 25 minutes = 8 : 40 p.m.
Everyday Mathematics
MCQs — 10 Questions
(+1)
21
fractions
easy
A group of 16 friends went for a trip. On a particular day, 3 of them went for rock climbing, 5 of them went for river rafting and rest of the friends went for paragliding. What fraction of the friends went for paragliding?
Answer: B
Paragliding = 16 − (3 + 5) = 8.
8/16 = 1/2.
22
subtraction
easy
Jyoti reads 541 pages during her summer reading program. In order to reach her goal of 650 pages, how many more pages does she need to read?
Answer: B
650 − 541 = 109.
23
perimeter
easy
An athlete runs around a rectangular field of length 95 m and breadth 85 m. How much total distance will he cover in 5 rounds of the field?
Answer: D
Perimeter = 2 × (95 + 85) = 360 m.
5 rounds = 5 × 360 = 1800 m.
24
capacity
easy
Preeti drank 350 mL of litchi juice on Monday, 275 mL of litchi juice on Tuesday and 525 mL of litchi juice on Wednesday. If she had 2500 mL of litchi juice initially, then what quantity of juice is left with her?
Answer: C
She drank 350 + 275 + 525 = 1150 mL.
2500 − 1150 = 1350 mL.
25
subtraction
easy
A shopkeeper had 2450 notebooks. He sold 1275 notebooks in the first week and 698 notebooks in the second week. How many notebooks are left with him?
Answer: A
Sold = 1275 + 698 = 1973.
Left = 2450 − 1973 = 477.
26
division
medium
A pen manufacturing company made 42656 pens in the month of December. If equal number of pens were made every day, then how many pens were made on each day?
Answer: C
December has 31 days.
42656 ÷ 31 = 1376.
27
fractions
medium
Sakshi bought a large pizza having 16 equal slices. Sakshi and her two friends ate 3 slices each. If she gave 4 slices to her brother, then what fraction of pizza is left with her?
Answer: C
Eaten = 3 × 3 = 9 slices. Given to brother = 4.
Left = 16 − 13 = 3 slices = 3/16.
28
measurement
easy
Mohit bought a cloth of length 15 m. If he divided the cloth into 25 equal pieces, then find the length of each piece of cloth.
Answer: B
15 m = 1500 cm.
1500 ÷ 25 = 60 cm.
29
numbers
easy
There are two thousand seven hundred fifty nine coconut trees in an orchard. Which of the following numeral shows the number of coconut trees in the orchard?
Answer: C
Two thousand seven hundred fifty nine = 2000 + 700 + 59 = 2759.
30
weights
easy
Shreya bought 86 kg 475 g sugar and Puneet bought 79 kg 825 g sugar. Who bought less sugar and by how much?
Answer: B
86475 g − 79825 g = 6650 g = 6 kg 650 g.
Puneet bought less.
Achievers Section
MCQs — 5 Questions
(+2)
31
fractions
hard
Match the following and select the CORRECT option.
Column-I
(p) If x + 11/20 = 19/20, then x = ____
(q) If 7/11 = x/121, then x/9 = ____
(r) The difference between 5 1/3 and 4 1/9 is ____
Column-II
(i) 8 5/9
(ii) 1 2/9
(iii) 8/20
Answer: B
(p) x = 19/20 − 11/20 = 8/20 → (iii).
(q) x = 121 × 7 ÷ 11 = 77, and 77/9 = 8 5/9 → (i).
(r) 16/3 − 37/9 = 48/9 − 37/9 = 11/9 = 1 2/9 → (ii).
32
numbers
hard
Read the given statements carefully and state T for true and F for false.
(i) The value of DCCCXIX is 819.
(ii) The number 79523 when rounded off to the nearest thousands place becomes 80000.
(iii) In the set of numbers, 4583, 7592 and 3186, if the digits at thousands place and ones place are interchanged, then the ascending order of new numbers formed is 3681, 4385 and 7295.
Answer: A
(i) D + CCC + X + IX = 500 + 300 + 10 + 9 = 819. True.
(ii) The hundreds digit of 79523 is 5, so it rounds up to 80000. True.
(iii) The new numbers are 3584, 2597 and 6183; in ascending order 2597, 3584, 6183. False.
33
perimeter
hard
Observe the given figures carefully and select the INCORRECT option.
Answer: D
Figure P: the shaded part has 30 outer sides, each 3 cm: 30 × 3 = 90 cm. A is correct.
Figure Q: the shaded part has 32 outer sides, each 4 cm: 32 × 4 = 128 cm, not 112 cm. B is incorrect.
Figure Q has no line of symmetry, so C is incorrect too. The answer is D.
34
money
hard
Three groups of people went for dinner in a restaurant. The bills of their dinner are as shown below. How much more money was spent by groups M and O together than by group N?
Answer: C
M = 450 + 215 + 320 + 170 + 350 = ₹ 1505.
N = 300 + 180 + 270 + 380 + 430 = ₹ 1560.
O = 190 + 490 + 250 + 150 + 270 = ₹ 1350.
(1505 + 1350) − 1560 = ₹ 1295.
35
data-handling
hard
The given bar graph shows the number of different flavours of cakes baked in a bakery in a particular month. Study the given graph carefully and answer the following questions.
(i) Which two flavours of cakes baked were three times of the mango cakes baked?
(ii) If the shopkeeper gave a toy of ₹ 15 as gift with every cake sold, then how much total amount did he spend on gifts by selling all chocolate and butterscotch flavoured cakes?
Answer: C
Butterscotch = 45, Mango = 30, Strawberry = 50, Vanilla = 40, Chocolate = 55.
(i) 3 × 30 = 90 = Vanilla 40 + Strawberry 50.
(ii) Chocolate + Butterscotch = 55 + 45 = 100 cakes; 100 × ₹ 15 = ₹ 1500.