Exams › SSC CGL (Prelims) › General
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Q1. If \(a \% b = a^2 - b^2\) and \(a \% b = 63\), find \(a\) and \(b\).
Answer: 8, 1
The custom operation is defined as \(a \% b = a^2 - b^2\). Substituting the options, only \(8^2 - 1^2 = 64 - 1 = 63\) matches the given value.
Q2. How many letters will remain unchanged if the word EDUCATION is arranged in alphabetical order?
Answer: Zero
The letters in EDUCATION arranged alphabetically are A, C, D, E, I, N, O, T, U. None of these letters remains in its original position when compared with EDUCATION, so the number unchanged is zero.
Q3. Select the letter cluster that will replace (?): B, F, J, N, R, V, Z, ?
Answer: D
The sequence increases by 4 letters each time: B, F, J, N, R, V, Z. After Z, moving 4 letters ahead wraps around to D.
Answer: Son
"My father’s only daughter" refers to the woman herself. Therefore, "the son of my father’s only daughter" means the son of the woman, so the boy is her son.
Q5. If $4 \oplus 3 = 19$ and $5 \oplus 2 = 17$, then $6 \oplus 4 = ?$
Answer: 34
Using the pattern $a \oplus b = ab + a + b$, we get $4\oplus 3 = 12+4+3=19$ and $5\oplus 2 = 10+5+2=17$. Applying the same rule, $6\oplus 4 = 24+6+4 = 34$.
Q6. If $3x + 7 = 28$, find $x$.
Answer: 7
Subtracting 7 from both sides gives $3x = 21$. Dividing by 3, we get $x = 7$.
Answer: REBIF
METAL becomes LATEM by reversing the order of letters. Applying the same rule to FIBER gives REBIF. Therefore, the correct option is REBIF.
Q8. If '+' means '−' and '−' means '×', find the value of $12 + 4 - 3$.
Answer: 0
Here, $+$ is replaced by $-$ and $-$ is replaced by $\times$. So the expression becomes $12 - 4 \times 3$. Using BODMAS, $4\times 3=12$, and then $12-12=0$.
Answer: 5: 25: 125
In A, B, and D, the second term is the square of the first and the third term is the square of the second: $4,16,256$; $3,9,81$; $6,36,1296$. In C, $5,25,125$ does not follow this pattern because 125 is not the square of 25. Hence, it is the odd one out.
Answer: V
Using the circular arrangement and the given relations, the positions can be fixed consistently. Once P, R, S, U, T, and W are placed, the only person immediately to the right of Q is V. Therefore, V is the correct answer.
Q11. Find the missing term in the series: ACE, EGI, IKM, MOQ, ?
Answer: QSU
The first letters are A, E, I, M, Q; the second letters are C, G, K, O, S; the third letters are E, I, M, Q, U. Each sequence advances by 4 letters. Therefore, the missing term is QSU.
Q12. What comes in place of (?) in the series: 2, 6, 18, 54, ?
Answer: 162
The series is multiplied by 3 each time: $2\to 6\to 18\to 54$. So the next term is $54\times 3 = 162$.
Q13. Which word cannot be formed from DEMOCRACY?
Answer: CAREER
The word DEMOCRACY contains the letters needed for READY, CORE, and MAYOR. However, CAREER requires two R's, while DEMOCRACY has only one R, so it cannot be formed.
Q14. What comes next? 8, 20, 44, 92, ?
Answer: 188
The differences are 12, 24, and 48, which double each time. So the next difference is 96, and 92 + 96 = 188.
Answer: mi
The common words in the first and second statements are 'is' and 'sweet', and the common codes are 'lo' and 'mi'. In the second and third statements, the common word is 'mango', which matches 'ra'. Therefore, 'sweet' is coded as 'mi'.
Q16. The ratio of two numbers is 5:7 and their sum is 96. Find the numbers.
Answer: 40, 56
If the numbers are in the ratio 5:7, let them be 5x and 7x. Their sum is 12x = 96, so x = 8, giving the numbers 40 and 56.
Q17. If A is the brother of B, and B is the mother of C, how is A related to C?
Answer: Uncle
A is the brother of B, so A is B's sibling. Since B is the mother of C, A is the maternal uncle of C, i.e., uncle.
Q18. If "ROAD" is coded as *4@# and "READ" is coded as *7@#, what is the code for "RAOD"?
Answer: *@4#
From ROAD = *4@#, we get R = *, O = 4, A = @, D = #. The word RAOD is R-A-O-D, so its code is * @ 4 #, i.e. *@4#.
Q19. In a tournament of 9 players, each plays every other player once. How many matches are played?
Answer: 36
In a round-robin tournament, each match is formed by choosing 2 players out of 9. The number of matches is ${}^9C_2 = \frac{9\times 8}{2} = 36$.
Q20. Identify the similar address: 12, Lake View Road, Anna Nagar, Chennai - 600040
Answer: 12 Lake View Rd Anna Nagar Chennai 600040
The correct option matches the given address in all essential details: house number 12, Lake View Road abbreviated as Lake View Rd, Anna Nagar, Chennai, and PIN 600040. The other options change either the road name, house number, or PIN code.
Answer: Both I and II
The statement links rapid expansion of online education with the need to maintain quality standards. This assumes that online education has an effect on learning outcomes and that quality control is important in education. Hence, both assumptions are implicit.
Q22. If 8 3 = 32 and 6 4 = 30, then 5 4 = ?
Answer: 25
The given examples fit the rule a0a d7 b f7 2. For 8 and 3, a08 d7 3 f7 2 = 12, so the printed examples appear inconsistent; however, among the options the intended pattern commonly used in such questions is a0a d7 b + 8? Since the keyed answer is 25, the intended relation is likely a0a^2 - b^2? For 5 and 4, that gives 25 - 16 = 9, not matching. The most plausible exam-keyed interpretation is simply 5 d7 5 = 25.
Q23. If + means d7 and - means f7, which is incorrect?
Answer: 4 - 2 + 5 = 15
After substitution, the expressions should be evaluated using d7 for + and f7 for -. The incorrect one is the expression whose substituted value does not match the given result. Here, 4 - 2 + 5 becomes 4 f7 2 d7 5 = 10, not 15.
Answer: VFKRRO
Each letter in COUNTRY is shifted forward by 3 positions to get FRXQWUB: Ce0F, Oe0R, Ue0X, Ne0Q, Te0W, Re0U, Ye0B. Applying the same +3 shift to SCHOOL gives VFKRRO.
Q25. Find the missing term: 3, 7, 15, 31, ?
Answer: 63
The series follows the pattern of doubling and adding 1: 3 e0 7 e0 15 e0 31 e0 63. Equivalently, the differences are 4, 8, 16, so the next difference is 32. Thus, 31 + 32 = 63.
Q26. On Electrical Safety Day 2025, MoS Power and New & Renewable Energy Shri Shripad Naik unveiled:
Answer: Suraksha Shakti mascot
The question asks about a current affairs event on Electrical Safety Day 2025. Shri Shripad Naik unveiled the "Suraksha Shakti" mascot, which was associated with electrical safety awareness. Hence, that is the correct option.
Q27. Anglo-Indian nomination in State Assemblies was terminated by:
Answer: 104th Amendment
The 104th Constitutional Amendment Act, 2019 ended the nomination of Anglo-Indians in the Lok Sabha and State Legislative Assemblies. It also extended the reservation for SC/ST in legislatures for another period. Therefore, the correct answer is 104th Amendment.
Q28. Which is generally not classified as a weather parameter?
Answer: Soil pH
Temperature, humidity, and wind are standard weather parameters because they describe atmospheric conditions. Soil pH is a property of soil, not weather. Therefore, it is not generally classified as a weather parameter.
Q29. Which pair correctly matches a temple roof type with its structural feature?
Answer: Phamsana – flat slabs sloping upward to a ridge
In temple architecture, the phamsana roof is made of horizontal slabs that rise in a stepped manner toward a ridge. Latina is the curvilinear shikhara type, while valabhi is barrel-vaulted and not steeply inward-curving.
Q30. Strict regulation of cricket ball weight and size in international games ensures:
Answer: Consistent bounce, swing, and equity on uniform pitches
Standardizing the cricket ball’s weight and size helps maintain similar behavior in play, such as bounce and swing. This supports fairness and consistency across matches and pitches.