Staff Selection Commission Combined Higher Secondary Level Exam
Question : A train 150 m long passes a km stone in 30 seconds and another train, of the same length and travelling in the opposite direction, in 10 seconds. The speed of the second train is:
Option 1: 90 km/h
Option 2: 125 km/h
Option 3: 25 km/h
Option 4: 75 km/h
Correct Answer: 90 km/h
Solution : Speed of train A = $\frac{150}{30}$ = 5 m/sec Let the speed of train B = $x$ m/sec Relative speed = $(5+x)$ m/sec Length of both trains = Relative speed × Time ⇒ $300=(5+x)×10$ ⇒ $300=(50+10x)$ ⇒ $x=\frac{250}{10}$ = $25$ m/sec To convert this
Question : Directions: In a certain code language, C + F means C is the father of F; C – F means C is the sister of F; C @ F means C is the brother of F; C # F means C is the mother of F. If A # K + J @ T, then how is J related to A?
Option 1: Brother
Option 2: Son
Option 3: Father's brother
Option 4: Son's son
Correct Answer: Son's son
Solution : Given: C + F ⇒ C is the father of F C – F ⇒ C is the sister of F C @ F ⇒ C is the brother of F C # F ⇒ C is the mother of F
As per the
Question : Directions: A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. CUS, DVT, EWU, ?
Option 1: FXV
Option 2: VXF
Option 3: XFV
Option 4: XVF
Correct Answer: FXV
Solution : Given: CUS, DVT, EWU, ?
In the given series, add 1 to the place value of each letter of the previous term to obtain the next term – CUS→C + 1 = D; U + 1 = V; S + 1 = T DVT
Question : Who is famously known as the father of the Indian nuclear programme?
Option 1: Homi J. Bhabha
Option 2: Vikram Sarabhai
Option 3: C. V. Raman
Option 4: Venkatraman Radhakrishnan
Correct Answer: Homi J. Bhabha
Solution : The correct option is Homi J. Bhabha.
Dr. Homi J. Bhabha is often referred to as the father of the Indian nuclear program. He was a prominent nuclear physicist who established India's nuclear research program. Dr. Bhabha was instrumental in setting up the
Question : Select the option that expresses the given sentence in active voice.
My pencils have been stolen.
Option 1: Somebody have stolen my pencils.
Option 2: Somebody steals my pencils.
Option 3: Somebody has stolen my pencils.
Option 4: Somebody stole my pencils.
Correct Answer: Somebody has stolen my pencils.
Solution : The third option is the correct answer.
The active voice in a sentence denotes that the noun or pronoun that acts as the subject in the sentence is the doer of the action.
The structure of the active voice sentence in
Question : If $\operatorname{cosec} \theta-\cot \theta=\frac{7}{2}$, then the value of $\operatorname{cosec} \theta$ will be:
Option 1: $\frac{49}{28}$
Option 2: $\frac{21}{28}$
Option 3: $\frac{47}{28}$
Option 4: $\frac{53}{28}$
Correct Answer: $\frac{53}{28}$
Solution : $\operatorname{cosec}^2 \theta - \cot^2\theta = 1$ ⇒$(\operatorname{cosec}\theta+\cot\theta)(\operatorname{cosec}\theta-\cot\theta) = 1$ Given, $\operatorname{cosec} \theta-\cot \theta=\frac{7}{2}$ ..........(i) ⇒$(\operatorname{cosec}\theta+\cot\theta)\frac{7}{2} = 1$ ⇒$(\operatorname{cosec}\theta+\cot\theta) = \frac{2}{7}$ ............(ii) Adding equation (i) and (ii), we get, $2\operatorname{cosec}\theta = \frac{7}{2} + \frac{2}{7}$ $⇒2\operatorname{cosec}\theta = \frac{49+4}{14}$ $⇒\operatorname{cosec}\theta = \frac{53}{28}$ Hence, the correct answer is $\frac{53}{28}$.
Question : Which one of the following ancient monuments in Delhi is not a World Heritage Monument ?
Option 1: Red Fort
Option 2: Jantar Mantar
Option 3: Humayun's Tomb
Option 4: Qutub Minar
Correct Answer: Jantar Mantar
Solution : The Correct Answer is Jantar Mantar
An astronomical observation facility constructed in the early 18th century is the Jantar Mantar in Jaipur. Five Jantar Mantars were built by Maharaja Jai Singh II of Jaipur in the early 18th century; they were finished between 1724
Question : The bar graph given below shows the temperature recorded every day in a certain week. What is the sum of the temperatures recorded on all the days?
Option 1: 240 degrees
Option 2: 215 degrees
Option 3: 235 degrees
Option 4: 205 degrees
Correct Answer: 215 degrees
Solution : The sum of the temperature recorded on all the days = 10 + 35 + 20 + 40 + 15 + 45 + 50 = 215 Hence, the correct answer is 215 degrees.
Question : Comprehension: In the following passage some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. The ocean floor is famously less (1)________ than the surface of Mars. And when our team of scientists recently mapped the seabed, and ancient sediments beneath, we (2) _______what looks like an asteroid impact crater. Intriguingly, the crater, (3)________ "Nadir" after the nearby volcano Nadir Seamount, is of the same age as the Chicxulub impact caused by a huge asteroid at the end of the Cretaceous (4) _______, around 66 million years ago, which (5) ________the dinosaurs and many other species. Question: Select the most appropriate option to fill in the blank number 5.
Option 1: wiped out
Option 2: absolved in
Option 3: turned off
Option 4: counted in
Correct Answer: wiped out
Solution : The correct choice is the first option.
The sentence is referring to the Chicxulub impact, which occurred around 66 million years ago and led to the extinction of dinosaurs and many other species. The term that best fits in this context, indicating the catastrophic
Question : Directions: In the following question, select the related number from the given alternatives. 42 : 20 :: 64 : ?
Option 1: 32
Option 2: 33
Option 3: 34
Option 4: 31
Correct Answer: 31
Solution : Given: 42 : 20 :: 64 : ?
Subtract 1 from the half of the first number to obtain the second number. Like, 42 : 20→(42 ÷ 2) – 1 = 21 – 1 = 20 Similarly, follow the same pattern for 64 : ?→(64
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