Staff Selection Commission Combined Higher Secondary Level Exam
Question : A missile travels at 1386 km/hr. How many metres does it travel in one second?
Option 1: 305 metres
Option 2: 385 metres
Option 3: 372 metres
Option 4: 325 metres
Correct Answer: 385 metres
Solution : We know, Distance covered = Speed × Time taken Average speed = 1386 km/hr = $1386×\frac{5}{18}$ = 385 m/s Time taken = 1 second $\therefore$ Distance covered in 1 second = 385 × 1 = 385 metres Hence, the correct answer is 385 metres.
Question : Directions: Three of the following four-letter clusters are alike in some manner and hence form a group. Which letter cluster does not belong to that group?
Option 1: TSQ
Option 2: JHG
Option 3: PNM
Option 4: XVU
Correct Answer: TSQ
Solution : Let's check the options – First option: TSQ; T – 1 = S; S – 2 = Q Second option: JHG; J – 2 = H; H – 1 = G Third option: PNM; P – 2 = N; N – 1 = M Fourth
Question : Which among the following is an Indian martial art from Manipur?
Option 1: Muay Thai
Option 2: Kalaripayattu
Option 3: Thang-Ta
Option 4: Gatka
Correct Answer: Thang-Ta
Solution : The correct option is Thang-Ta.
Thang-Ta is an Indian martial art from Manipur. It combines armed and unarmed combat and often involves the use of swords and spears. The other martial arts, such as Muay Thai, Kalaripayattu, and Gatka, are associated with Thailand, Kerala
Question : If $a+b+c=0$ and $a^2+b^2+c^2=40$, then what is the value of $a b+b c+c a$?
Option 1: –30
Option 2: –20
Option 3: –25
Option 4: –40
Correct Answer: –20
Solution : Given: $a+b+c=0$ and $a^2+b^2+c^2=40$ we know that, $(a+b+c)^2 = a^2 + b^2 + c^2 + 2(ab+bc+ca)$ Putting the values, we get: ⇒ $0 = 40 + 2(ab+bc+ca)$ ⇒ $ab+bc+ca = -\frac{40}{2} = -20$ Hence, the correct answer is –20.
Question : What numerical scale was introduced in 1932 that determined the electronegativity of fluorine to be 4.0?
Option 1: Allred-Rochow scale
Option 2: Mulliken scale
Option 3: Pauling scale
Option 4: Jae scale
Correct Answer: Pauling scale
Solution : The correct option is the Pauling scale.
This scale was developed by Linus Pauling. The Pauling electronegativity scale quantifies the ability of an atom to attract electrons in a chemical bond. It's a dimensionless scale. Fluorine is set to 4.0 as it is
Question : Directions: Which term from among the given options can replace the question mark (?) in the following series to make it logically complete? XD 45, YE 53, ?, AG 58, BH 55
Option 1: ZG 52
Option 2: ZF 54
Option 3: AF 51
Option 4: ZF 50
Correct Answer: ZF 50
Solution : Given: XD 45, YE 53, ?, AG 58, BH 55
Add 8 and subtract 3 alternatively to the numbers given in the series and add 1 to the place value of each letter, to obtain the required missing term – XD 45→X + 1
Question : Simplify the expression: $\frac{3-\operatorname{\sin}^2 A+\operatorname{\cos}^2 A}{2+2 \operatorname{\cos}^2 A}$
Option 1: 1
Option 2: 0
Option 3: –1
Option 4: 2
Correct Answer: 1
Solution : $\frac{3-\operatorname{\sin}^2 A+\operatorname{\cos}^2 A}{2+2 \operatorname{\cos}^2 A}$ $=\frac{1-\operatorname{\sin}^2 A+2+\operatorname{\cos}^2 A}{2+2 \operatorname{\cos}^2 A}$ $=\frac{\operatorname{\cos}^2 A+2+\operatorname{\cos}^2 A}{2+2 \operatorname{\cos}^2 A}$ [$\because\cos^2 A=1-\sin^2 A$] $=\frac{2+2\operatorname{\cos}^2 A}{2+2 \operatorname{\cos}^2 A}$ $=1$ Hence, the correct answer is 1.
Question : Directions: How many houses are only bikes?
Option 1: 16
Option 2: 21
Option 3: 11
Option 4: 10
Correct Answer: 11
Solution : In the below diagram, the shaded part represents the region common to both house and bike only.
Therefore, the number of houses that are only bike→11
So, from the above, the total number of houses that are only bikes is 11. Hence, the third option
Question : Directions: The present ages of father and son are in the ratio of 5:1, respectively. Seven years later this ratio becomes 3:1. What is the son's present age in years?
Option 1: 8
Option 2: 7
Option 3: 6
Option 4: 5
Correct Answer: 7
Solution : Given: The ratio of the present age of father and son = 5:1 The ratio of age of father and son, seven years later = 3:1
Let the present age the father and son be 5x, x. So, seven years later their ages will be→(5x
Question : Directions: In the following question, select the related number from the given alternatives. 3 : 11 :: 7 : ?
Option 1: 22
Option 2: 29
Option 3: 51
Option 4: 18
Correct Answer: 51
Solution : Given: 3 : 11 :: 7 : ?
Like, 3 : 11→(32) + 2 = 9 + 2 = 11 Similarly, follow the same pattern for 7 : ?→(72) + 2 = 49 + 2 = 51 So, 7 is related
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