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Question : The reciprocals of the squares of the numbers 1$\frac{1}{2}$ and 1$\frac{1}{3}$ are in the ratio:
Option 1: 64 : 81
Option 2: 8 : 9
Option 3: 81 : 64
Option 4: 9 : 85
Correct Answer: 64 : 81
Solution : $1\frac{1}{2} : 1\frac{1}{3}$ $=\frac{3}{2}$ : $\frac{4}{3}$ After squaring the fractions, we get, ⇒ $\frac{9}{4}:\frac{16}{9}$ Their reciprocals are, ⇒ $\frac{4}{9}:\frac{9}{16}$ Multiply each ratio by 144 (LCM of 9 and 16) $\therefore$ The required ratio = 64 : 81 Hence, the correct answer is 64
Question : Directions: In the following question a series is given, with one number missing. Select the missing number from the given alternatives. 21, 25, 52, 68, 193, ?
Option 1: 229
Option 2: 242
Option 3: 257
Option 4: 409
Correct Answer: 229
Solution : Given: 21, 25, 52, 68, 193, ?
Let's apply the pattern – 21 + (2)2 = 21 + 4 = 25 25 + (3)3 = 25 + 27 = 52 52 + (4)2 = 52 + 16 = 68 68 + (5)
Question : How much chicory, costing INR 100/kg, should be added to 40 kg of coffee costing INR 45/kg so that the mixture will be worth INR 60/kg?
Option 1: 12.5 kg
Option 2: 5 kg
Option 3: 17.5 kg
Option 4: 15 kg
Correct Answer: 15 kg
Solution : Given: Cost of chicory = INR 100 Cost of coffee = INR 45 Cost of mixture = INR 60 By using alligation: Ratio of Coffee = Cost of Chicory – Cost of mixture Coffee = 100 – 60 = 40 Ratio of Chicory =
Question : Directions: Which of the following terms will replace the question mark (?) in the given series? AVTE, CTRG, ERPI, GPNK, ?
Option 1: INLM
Option 2: MINL
Option 3: ILNM
Option 4: INJM
Correct Answer: INLM
Solution : Given: AVTE, CTRG, ERPI, GPNK, ?
Add 2 in the first and the fourth alphabet and subtract 2 from the second and the third alphabet to obtain the next term. AVTE: A + 2 = C; V – 2 = T; T – 2 =
Question : Select the most appropriate meaning of the underlined idiom in the given sentence. My uncle loves his job even if they pay him chicken feed.
Option 1: worthless gifts
Option 2: very little money
Option 3: a lot of food
Option 4: payment in kind
Correct Answer: very little money
Solution : The correct choice is the second option.
The idiom "chicken feed" refers to a small amount of money, often implying that it's insignificantly low. In the sentence, it suggests that even though the uncle's job pays very little, he still loves it. The
Question : Choose the correctly spelt word.
Option 1: DODGE
Option 2: BRILIANT
Option 3: SIEZE
Option 4: RECEPROCATE
Correct Answer: DODGE
Solution : The correct choice is the first option.
The correctly spelt word is dodge.
The correct spellings of the remaining words are:
Question : Directions: Which of the following four options will replace the question mark (?) in the following series? 12, 36, ?, 102, 100, 300
Option 1: 68
Option 2: 34
Option 3: 52
Option 4: 76
Correct Answer: 34
Solution : Given: 12, 36, ?, 102, 100, 300
Multiply by 3 and subtract 2 alternatively to get the next term of the series – 12 × 3 = 36; 36 – 2 = 34; 34 × 3 = 102; 102 – 2 = 100; 100 ×
Question : Directions: In a certain code language, STORY is coded as 97 and PULL is coded as 61. How will INCOME be coded in that language?
Option 1: 54
Option 2: 49
Option 3: 59
Option 4: 47
Correct Answer: 59
Solution : Given: STORY is coded as 97, and PULL is coded as 61.
Add the positional value of the letters of the word STORY to obtain the required code – S→19; T→20; O→15; R→18; Y→25 19 + 20 + 15 + 18 + 25 = 97
Question : The digit in unit's place of the product 49237 × 3995 × 738 × 83 × 9 is:
Option 1: 0
Option 2: 5
Option 3: 6
Option 4: 4
Correct Answer: 0
Solution : The product of unit digits of the 2nd and the 3rd number is (5 × 8) = 40. The unit digit of this product is 0. So the digit in the unit's place of the product 49237 × 3995 × 738 × 83 × 9
Question : Directions: Which two signs should be interchanged to make the following equation correct? 6 ÷ 24 + 6 × 7 – 5 = 29
Option 1: ÷ and ×
Option 2: ÷ and +
Option 3: ÷ and –
Option 4: × and +
Correct Answer: ÷ and +
Solution : Given: 6 ÷ 24 + 6 × 7 – 5 = 29
Let's check each option – First Option: ÷ and × On interchanging the mathematical signs, we get – 6 × 24 + 6 ÷ 7 – 5 = 29 On solving
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