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Question : Directions: In the following question, select the related number from the given alternatives. 11 : 121 :: 111 : ?
Option 1: 1234
Option 2: 2314
Option 3: 12321
Option 4: 12421
Correct Answer: 12321
Solution : Given: 11 : 121 :: 111 : ?
112 = 121 (121 is the square of 11) Similarly, 1112 = 12321 (12321 is the square of 111)
Hence, the third option is correct.
Question : LCM of $ \frac{2}{3}, \frac{4}{9}, \frac{5}{6}$ is:
Option 1: $\frac{8}{27}$
Option 2: $\frac{20}{3}$
Option 3: $\frac{10}{3}$
Option 4: $\frac{20}{27}$
Correct Answer: $\frac{20}{3}$
Solution : To find: LCM of $\frac{2}{3},\frac{4}{9},\frac{5}{6}$ Apply the formula: LCM of fractions = $\frac{\text{LCM of numerator}}{\text{HCF of denominator}}$ Now, LCM of 2, 4, and 5 is 20, and HCF of 3, 9, and 6 is 3. LCM of fractions = $\frac{20}{3}$ Hence, the correct answer is
Question : Who is known as the " Hockey Wizard " ?
Option 1: Milkha Singh
Option 2: Dhyanchand
Option 3: Dhanraj Pillai
Option 4: Jafar Iqbal
Correct Answer: Dhyanchand
Solution : The correct option is - Dhyanchand.
Field hockey player Major Dhyan Chand, who represented India, is recognized as the game's all-time best. Due to his exceptional ball control, he was known as The Wizard or The Magician of hockey. In 1956, the Indian government presented
Question : If $\mathrm{K}+\frac{1}{\mathrm{~K}}+2=0$ and $\mathrm{K}<0$, then what is the value of $\mathrm{K}^{11}+\frac{1}{\mathrm{~K}^4}$?
Option 1: 0
Option 2: –2
Option 3: –1
Option 4: –17
Correct Answer: 0
Solution : Given, $\mathrm{K}+\frac{1}{\mathrm{~K}}+2=0$ ⇒ $K^{2} + 2K + 1 = 0$ ⇒ $(K+1)^{2} = 0$ ⇒ $K+1 = 0$ $\therefore$ $K = -1$ Now, we have to find $K^{11}+\frac{1}{K^4}$ Putting the value of $K$, we get $(-1)^{11} + \frac{1}{(-1)^{4}}$ $= -1 + 1 = 0$ Hence,
Question : Directions: In the following question, select the related number from the given alternatives. 583 : 295 :: 486 : ?
Option 1: 291
Option 2: 378
Option 3: 487
Option 4: 581
Correct Answer: 378
Solution : Given: 583 : 295 :: 486 : ?
Here, the sum of the digits of the first number is equal to the sum of the digits of the second number. Like, 583 : 295; 5 + 8 + 3 = 16 and 2 + 9
Question : Directions: Select the option that is related to the third letter cluster in the same way as the second letter cluster is related to the first letter cluster. GR : KV :: DL : ?
Option 1: HQ
Option 2: GP
Option 3: HS
Option 4: HP
Correct Answer: HP
Solution : Given: GR : KV :: DL : ?
For each pair, add 4 to the place of each letter of the first term to get the second term – GR→G + 4 = K; R + 4 = V So, GR is related to KV.
Question : Directions: Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster. STABLE : AEQRZJ :: TARGET : AERPER :: VISUAL :?
Option 1: IUATQJ
Option 2: UATWJQ
Option 3: HATQUI
Option 4: TAUIQJ
Correct Answer: IUATQJ
Solution : Given: STABLE : AEQRZJ :: TARGET : AERPER :: VISUAL :?
Vowels are written first in the code and subtract 2 from the place value of the consonants of each letter of STABLE to obtain the required code –
Thus, STABLE is coded as AEQRZJ.
Question : Direction: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
4, 6, 10, 16, 24, ?
Option 1: 40
Option 2: 28
Option 3: 30
Option 4: 34
Correct Answer: 34
Solution : Given –
The pattern follow for the series is –
4 + 2 = 6; 6 + 4 = 10; 10 + 6 = 16; 16 + 8 = 24; 24 + 10 = 34
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) which may improve the sentence. Choose the correct alternative. In case, no improvement is needed your answer is (4).
Anyone wishing to enrol in the programme should send in there applications before the end of this month.
(1) send in her application
(2) send her application in
(3) send in their applications
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct option is the third option.
The original sentence has a mistake with respect to pronouns. It uses "there" to refer to the plural noun "applications" which is incorrect. "There" is used for places, whereas "their" is used for persons. The correct choice
Question : The curved surface area of a right circular cone of a base radius of 21 cm is 594 sq. cm. What is the slant height of the cone?
Option 1: 15 cm
Option 2: 11 cm
Option 3: 9 cm
Option 4: 6 cm
Correct Answer: 9 cm
Solution : The curved surface area of a right circular cone = 594 sq. cm. The radius of a right circular cone, $r$ = 21 cm Let the slant height be $l$ cm. We know that the curved surface area of a right circular cone =
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