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2021 Questions All
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2021 Complete Paper Solution | All
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Question 1.
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In this question, a number series is given with one term missing. Choose the correct option that will continue the same pattern.
17, 19, 15, 23, 7, 39, ?
A
18
B
-25
C
25
D
9
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Text Explanation:
Let's look at consecutive differences:
$17, 19, 15, 23, 7, 39, ?$
$+2, -4, +8, -16, +32$
The pattern:
Each difference alternates between $+$ and $-$
The absolute value doubles each time: $2, 4, 8, 16, 32$
Therefore:
Next number should subtract $64$ from $39$
$39 - 64 = -25$
Question 2.
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In this question, an alphabet series is given with one term missing. Choose the correct option that will continue the same pattern.
MOQ, SUW, YAC, ?
A
DHJ
B
EGI
C
FIJ
D
XAD
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Text Explanation:
Looking at the pattern between consecutive terms:
MOQ → SUW → YAC → ?
Looking at each letter position pattern:
M → S → Y: Skip 6 letters
O → U → A: Skip 6 letters
Q → W → C: Skip 6 letters
To continue the pattern:
For next term:
Y + 6 letters = E (after Z circle back to A)
A + 6 letters = G
C + 6 letters = I
Therefore, the next term should be EGI
Question 3.
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In this question, a letter series is given where some of the letters are missing. The missing letters are given in the order as one of the options below it.
Choose the correct option. a ________ c ________ ba ________ ca ________ cb
A
abcc
B
acba
C
bcaa
D
bcba
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Text Explanation:
You just have to go through the options to see which one makes a sequence with a pattern.
Look at Option 4.
a(b)c(c)ba(b)ca(a)cb
The pattern is abc, followed by cba (reversed) and then bca, followed by acb, reversed again.
Question 4.
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There is a certain relation between two given numbers on one side of : : and one number is given on another side of : : . A number is to be found from the given options having the same relation with this number as the given pair.
210 : 380 : : 182 : ?
A
156
B
240
C
272
D
342
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Text Explanation:
The first analogy can be broken down to
$14\times15:19\times20$
A difference of 5 between the respective numbers
Similarly, $182=13\times14$, so the number to replace $?$ will be $18\times19=342$
Question 5.
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There is a certain relation between two given words on one side of : : and one word is given on another side of : : . A word is to be found from the given options having the same relation with this word as the given pair.
Drill : Bore : : Sieve : ?
A
Pry
B
Rinse
C
Sift
D
Thresh
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Text Explanation:
A drill is used to bore (dig) a hole.
Similarly, a sieve is used to sift (separate) certain things from a mixture.
Question 6.
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In this question, there are four options. Three of them are alike and one is different. Find the odd one out.
A
December, 2021
B
February, 2021
C
March, 2021
D
November, 2021
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Text Explanation:
December $=12$th Month
February $=2$nd Month
March $=3$rd Month
November $=11$th Month
Out of these, only December (12) is the one that's not a prime number.
Question 7.
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This question is based on the information given below: The six faces of cube are painted in a manner that no two adjacent faces have the same colour. The three colours used in painting are red, blue and green. The cube is then cut into 36 smaller cubes in a manner that 32 cubes are of one size and the rest of a bigger size and each of the bigger cube has no red side. How many cubes only have one side coloured?
A
0
B
16
C
4
D
8
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Text Explanation:
Given information:
Total $36$ cubes after cutting
$32$ cubes of one size, $4$ cubes bigger
Six faces painted with red, blue, green
No adjacent faces have same color
Bigger cubes have no red side
To find cubes with exactly one colored side:
From standard cube layout:
Corner pieces ($8$) have three colors
Edge pieces ($12$) have two colors
Center pieces ($6$) have one color
Inner pieces ($1$) have no color
When cut into $36$ pieces:
Must be a $3×3×3$ cube with an extra layer making it $36$ pieces
$32$ smaller cubes and $4$ bigger ones
To find cubes with only one side:
Center pieces would have only one color = $6$
Edge middle pieces in extended layer = $2$ more
Total = $8$
Therefore, $8$ cubes have exactly one colored face.
Question 8.
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Which one word cannot be made from the word 'MIRACULOUS'?
A
LOCUS
B
MOLAR
C
SCAR
D
SOLACE
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Text Explanation:
Just look for common letters between the words in the option and the word given. We can clearly see "E" isn't common in MIRACULOUS and SOLACE.
Question 9.
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If '+' means '÷', '−' means '×', '÷' means '+' and '×' means '−', then $36 × 12 + 4 ÷ 6 + 2 − 3$ is equal to
A
6
B
18
C
2
D
42
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Text Explanation:
Given:
$+$ means $÷$
$-$ means $×$
$÷$ means $+$
$×$ means $-$
Substituting in the expression:
$36 × 12 + 4 ÷ 6 + 2 - 3$ becomes
$36 - 12 ÷ 4 + 6 \div 2 × 3$
Following BODMAS:
= $36 - 12 ÷ 4 + 6 \div 2 × 3$
= $36-3+3\times3$
= $36-3+9$
= $42$
Question 10.
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In this question, relationship between different elements is shown in the statements. The statements are followed by two conclusions numbered I and II.
Statement: $H > P ≤ E < L = R < V ; F ≥ V$
Conclusion:
I. $F > E$
II. $H > R$
Study the conclusions and give your answer as follows:
A
If both the conclusions I and II are true
B
If neither conclusion I nor conclusion II is true
C
If only conclusion I is true
D
If only conclusion II is true
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Text Explanation:
Given statement: $H > P ≤ E < L = R < V; F > V$
Let's analyze Conclusion I: $F > E$
From statement:
$E < L = R < V$
And $F > V$
Therefore $F > V > R = L > E$
So $F > E$ is TRUE
Let's analyze Conclusion II: $H > R$
From statement:
$H > P ≤ E < L = R$
We can only say $H > P$, but can't establish direct relation between $H$ and $R$
Because $P ≤ E < L = R$
So $H > R$ cannot be definitively established
Therefore Conclusion II is FALSE
Hence, only conclusion 1 is true.
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