Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: What should come in place of (?) in the given series based on the English alphabetical order? QCT, NHP, KML, HRH, ?
Option 1: EWD
Option 2: IVD
Option 3: FVF
Option 4: JWE
Correct Answer: EWD
Solution : Given: QCT, NHP, KML, HRH, ?
Here, subtract 3 from the place value of the first letter, add 5 to the place value of the second letter, and subtract 4 from the place value of the third letter of the previous term to get the
Question : Directions: Select the figure from the given option that can replace the question mark (?) in the following series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure series – 1. Two circles positioned at the left and right centre remain unchanged. 2. A diamond-shaped figure shifts its position in an anti-clockwise direction and alternates between being shaded and unshaded. 3. An arrow shifts its position in an anti-clockwise
Question : ______ is a tributary of River Godavari.
Option 1: Tawa
Option 2: Banas
Option 3: Indravati
Option 4: Chambal
Correct Answer: Indravati
Solution : The correct answer is Indravati.
Indravati is the second-largest tributary of the Godavari River. Indravati originates from the Western slopes of the Eastern Ghats in Kalahandi district, Odisha and flows through the central part of the Dandakaranya region. Godavari River is the longest river
Question : Directions: Select the related letter cluster from the given alternatives in the given question. VZS : EAH :: ? : JFM
Option 1: QSM
Option 2: NUQ
Option 3: QUN
Option 4: QNU
Correct Answer: QUN
Solution : Given: VZS : EAH :: ? : JFM
Like, the opposite letters of VZS – V→E; Z→A; S→H Thus, VZS is related to EAH. Similarly, the opposite letters of JFM – J→Q; F→U; M→N
So, JFM is related to QUN. Hence, the third option is
Question : If $2(x^{2}+\frac{1}{x^{2}})-(x-\frac{1}{x})-7=0$, then two values of $x$ are:
Option 1: $1, 2$
Option 2: $2,-\frac{1}{2}$
Option 3: $0, 1$
Option 4: $\frac{1}{2},1$
Correct Answer: $2,-\frac{1}{2}$
Solution : Given: $2(x^{2}+\frac{1}{x^{2}})-(x-\frac{1}{x})-7=0$ We know that, $x^{2}+\frac{1}{x^{2}} = (x-\frac{1}{x})^2+2$ ⇒ $2[(x-\frac{1}{x})^2+2]-(x-\frac{1}{x})-7=0$ Put $x-\frac{1}{x}=t$ ⇒ $2t^2+4-t-7=0$ ⇒ $2t^2-t-3=0$ ⇒ $2t^2-3t+2t-3=0$ ⇒ $t(2t-3)+1(2t-3)=0$ ⇒ $(2t-3)(t+1)=0$ $\therefore t=\frac{3}{2}$ or, $ -1$ Now if, $x-\frac{1}{x}=\frac{3}{2}$ ⇒ $2x^2-2=3x$ ⇒ $2x^2-3x-2=0$ ⇒ $2x^2-4x+x-2=0$ ⇒ $2x(x-2)+1(x-2)=0$ ⇒ $(x-2)(2x+1)=0$ $\therefore x = 2$ or,
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
I could not help to laugh at the joke.
(1) Laughing
(2) Laugh
(3) To laughing
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The sentence can be improved using the first option.
The verb help is typically followed by a gerund (-ing form of a verb) when it is used to express that someone can't avoid or refrain from doing something. In this context, the action is laughing,
Question : The diameter of the wheel of a cycle is 7 cm. A cyclist takes 75 minutes to reach a destination at the speed of 36.3 km/hr. How many revolutions will the wheel make during the journey?
Option 1: 206250
Option 2: 212520
Option 3: 196280
Option 4: 216580
Correct Answer: 206250
Solution : The diameter of the wheel of a cycle = 7 cm Time taken to reach the destination = 75 minutes = 1.25 hr Seed of cycle = 36.3 km/hr Total distance = Time × Speed = 1.25 × 36.3 km Number of revolutions = $\frac{\text{Total
Question : Directions: In the following question, select the one which is different from the other three alternatives.
Option 1: 24
Option 2: 28
Option 3: 42
Option 4: 56
Correct Answer: 42
Solution : Let's check the options – First option: 24; 24 ÷ 4 = 6; 24 is divisible by 4. Second option: 28; 28 ÷ 4 = 7; 28 is divisible by 4. Third option: 42; 42 ÷ 4 = 10.5; 42 is not divisible by 4.
Question : What is the value of $(a+b)^2+(a-b)^2$?
Option 1: $8ab$
Option 2: $4ab$
Option 3: $4(a^2+b^2)$
Option 4: $2(a^2+b^2)$
Correct Answer: $2(a^2+b^2)$
Solution : Given, $(a+b)^2+(a-b)^2$ = $a^2+b^2+2ab+a^2+b^2-2ab$ = $2(a^2+b^2)$ Hence, the correct answer is $2(a^2+b^2)$.
Question : Which among the following companies made an Initial Public Offering (IPO) in the Indian stock market in 2022?
Option 1: HDFC Bank
Option 2: JSW Steel
Option 3: Avenue Supermarts
Option 4: Adani Wilmar
Correct Answer: Adani Wilmar
Solution : The correct answer is Adani Wilmar.
Adani Wilmar Limited is an Indian multinational food and beverage conglomerate based in Ahmedabad, Gujarat. The company was founded in 1999 as a joint venture between Adani Enterprises and Wilmar International.
Adani Wilmar launched their IPO in
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