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Question 1 General Intelligence and Reasoning
Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which letter-cluster pair DOES NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
- A. PT - MR
- B. EI - BF
- C. NR - KO
- D. JN - GK
Correct answer: C. NR - KO
Correct answer (Option C):\nLet us look at the alphabetical positions for each letter-cluster pair:\nP(16), T(20) and M(13), R(18). Difference: 16 - 13 = 3, 20 - 18 = 2.\nE(5), I(9) and B(2), F(6). Difference: 5 - 2 = 3, 9 - 6 = 3.\nN(14), R(18) and K(11), O(15). Difference: 14 - 11 = 3, 18 - 15 = 3.\nJ(10), N(14) and G(7), K(11). Difference: 10 - 7 = 3, 14 - 11 = 3.\nAll pairs have a constant difference of -3 between corresponding positions except PT-MR, where the second letter decreases by 2.\nOption C is correct.\n\nWhy others are wrong:\nOptions A, B, and D all follow a uniform shifting pattern of decreasing by 3 positions for both letters.\n\nStudy tip:\nAlways map letters to positional numbers quickly to track patterns in alphanumeric analogies.
Question 2 Mathematics
Shubh marks an article 40% above its cost price. He allows a single discount of d% on the marked price and still makes a profit of 10% on the cost price. Find the discount d%.
- A. 23%
- B. 21.5%
- C. 21%
- D. 22%
Correct answer: C. 21%
Correct answer (Option C):\nLet the Cost Price (CP) be 100.\nMarked Price (MP) = 100 + 40% of 100 = 140.\nProfit = 10%, so Selling Price (SP) = 100 + 10 = 110.\nDiscount Amount = MP - SP = 140 - 110 = 30.\nDiscount percentage (d%) = (Discount / MP) × 100\nStep 1: d% = (30 / 140) × 100\nStep 2: d% = 300 / 14 = 21.42%\nRounding off to the closest available integer option gives 21%.\nOption C is correct.\n\nWhy others are wrong:\nOptions A, B, and D do not equal the calculated discount percentage value of 21%.\n\nStudy tip:\nUse 100 as a base value for CP to solve markup and discount questions easily without variable complexity.
Question 3 Mathematics
A shopkeeper fixes the marked price of an item 20% above its cost price. What percentage of discount should he offer to gain 2%?
- A. 12%
- B. 15%
- C. 18%
- D. 17%
Correct answer: B. 15%
Correct answer (Option B):\nLet the Cost Price (CP) = 100.\nMarked Price (MP) = 100 + 20% of 100 = 120.\nDesired Gain = 2%, so Selling Price (SP) = 102.\nDiscount Amount = MP - SP = 120 - 102 = 18.\nDiscount % = (Discount / MP) × 100\nStep 1: Discount % = (18 / 120) × 100\nStep 2: Discount % = (3 / 20) × 100 = 15%\nOption B is correct.\n\nWhy others are wrong:\nOptions A, C, and D evaluate to different values which do not provide a profit of exactly 2%.\n\nStudy tip:\nRemember the relational formula: MP × (100 - D%) = CP × (100 + P%) to solve markup problems quickly.
Question 4 Mathematics
If the interest earned during the 2nd year on a certain sum is ₹3072, and the rate of interest is 20% per annum compounded annually, then the sum is:
- A. 12965
- B. 12800
- C. 13545
- D. 12055
Correct answer: B. 12800
Correct answer (Option B):\nLet the principal sum be P.\nInterest for the 1st year = 20% of P = 0.20P.\nPrincipal for the 2nd year = P + 0.20P = 1.20P.\nInterest earned during the 2nd year = 20% of 1.20P = 0.24P.\nGiven that the interest for the 2nd year is ₹3072:\nStep 1: 0.24P = 3072\nStep 2: P = 3072 / 0.24\nStep 3: P = 12800\nOption B is correct.\n\nWhy others are wrong:\nOptions A, C, and D are numerically incorrect values that do not satisfy the equation for a 2nd-year interest of ₹3072.\n\nStudy tip:\nInterest in the nth year of compound interest can be calculated by computing the interest directly on the amount accumulated up to the end of the (n-1)th year.
Question 5 Mathematics
What sum (in ₹) will earn an interest of ₹480 in 2 years at 10% simple interest per year?
- A. 2600
- B. 2550
- C. 2200
- D. 2400
Correct answer: D. 2400
Correct answer (Option D):\nFormula: SI = (P × R × T) / 100\nGiven: SI = 480, T = 2 years, R = 10%\nStep 1: 480 = (P × 10 × 2) / 100\nStep 2: 480 = 20P / 100\nStep 3: 480 = P / 5\nStep 4: P = 480 × 5 = 2400\nOption D is correct.\n\nWhy others are wrong:\nOptions A, B, and C provide incorrect interest totals under the given rates and periods.\n\nStudy tip:\nSimple interest formulas can be rearranged safely as P = (SI × 100) / (R × T) to solve directly for the principal amount.