Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (48, 16, 192) (22, 62, 341)
Option 1: (32, 24, 222)
Option 2: (74, 38, 713)
Option 3: (84, 78, 1638)
Option 4: (92, 46, 1068)
Correct Answer: (84, 78, 1638)
Solution : Given: (48, 16, 192) (22, 62, 341)
Here, (48, 16, 192)→(48 ÷ 2) × (16 ÷ 2) = 24 × 8 = 192 (22, 62, 341)→(22 ÷ 2) × (62 ÷ 2) = 11 × 31 = 341
Now, let's check the options
Question : Directions: In the following question, a sentence is given with blanks that are to be filled in with appropriate words. Four alternatives are suggested; choose the correct alternative out of them as your answer.
The speeding car ____ a man this morning.
Option 1: knocked down
Option 2: pushed out
Option 3: hit about
Option 4: hit out
Correct Answer: knocked down
Solution : The first option is the correct answer, as "knocked down."
"Knocked down" is a phrasal verb that means to cause something to fall or be toppled over by a forceful impact.and is used to describe a situation in which a moving vehicle, such as
Question : If $p^2-4 p-1=0$, then the value of $p^2+3 p+\frac{1}{p^2}-\frac{3}{p}$ is:
Option 1: 40
Option 2: 50
Option 3: 65
Option 4: 30
Correct Answer: 30
Solution : Given: $p^2-4 p-1=0$ ⇒ $p-\frac{1}{p}=4$ Squaring both sides, we get: $⇒(p-\frac{1}{p})^2=(4)^2$ $⇒ (p^2+\frac{1}{p^2}-2×p×\frac{1}{p})=16$ $⇒ (p^2+\frac{1}{p^2})=16+2$ $⇒ (p^2+\frac{1}{p^2})=18$ Now, $p^2+3 p+\frac{1}{p^2}-\frac{3}{p}$ $=p^2+\frac{1}{p^2}+3 p-\frac{3}{p}$ $=p^2+\frac{1}{p^2}+3(p-\frac{1}{p})$ Putting the values, we get: $=18+3×4$ $=30$ Hence, the correct answer is 30.
Question : The following pie chart shows the percentage distribution of school expenditure. If the teacher's salary and rent together is INR 45 lakhs, then find the savings.
Option 1: INR 22,53,000
Option 2: INR 24,75,000
Option 3: INR 16,87,500
Option 4: INR 20,25,000
Correct Answer: INR 20,25,000
Solution : The total sum of the teacher's salary and rent = INR 45 lakhs $\therefore$ (15% + 25%) of school expenditure = 45,00,000 School expenditure = $\frac{100}{40}×4500000$ = 2.5 × 4500,000 = 1,12,50,000 $\therefore$ Savings = 18% of school expenditure = $\frac{18}{100}×11250000$ = 20,25,000 Hence,
Question : Directions: How many triangles are there in the given figure?
Option 1: 20
Option 2: 21
Option 3: 22
Option 4: 24
Correct Answer: 24
Solution : The given figure can be labelled as shown below –
In the above figure, there are 24 triangles. They are ABJ, AIJ, IJK, BJK, ILF, FLE, LEK, ILK, BCK, CKD, KDE, AHI, HIG, GIF, AIK, BIK, IEF, KFE, IKF, IKE, ABK, AIB, AKF, and BIE.
Question : Who is credited with creating the popular raga 'Miya Ki Malhar'?
Option 1: Tansen
Option 2: Amir Khusrau
Option 3: Meerabai
Option 4: Zakir Hussain
Correct Answer: Tansen
Solution : The correct answer is Tansen.
Sangeet Samrat Mian Tansen composed this raga in the sixteenth century. A monsoon raga known as Miya Ki Malhar is often used to welcome the monsoon and invoke rain, soaking the land. Tansen composed devotional scores for his life;
Question : Lui Ngai Ni is a festival that is associated with which of the following states?
Option 1: Manipur
Option 2: Uttar Pradesh
Option 3: Uttarakhand
Option 4: Himachal Pradesh
Correct Answer: Manipur
Solution : The correct option is Manipur.
Lui Ngai Ni is a festival associated with the state of Manipur. It is a major cultural celebration of the Naga tribes in Manipur, and it marks the onset of the seed-sowing season. The festival is characterised by vibrant
Question : Select the most appropriate option that expresses the given sentence in passive voice.
The company will release the new product next month.
Option 1: The new product will be released by the company next month.
Option 2: The new product will release by the company next month.
Option 3: The new product will be releasing by the company next month.
Option 4: The new product is released by the company next month.
Correct Answer: The new product will be released by the company next month.
Solution : The correct choice is the first option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes
Question : The pension of a High Court Judge is charge on the
Option 1: Public accounts of India
Option 2: Consolidated Fund of the state
Option 3: Public accounts of the state
Option 4: Consolidated fund of India
Correct Answer: Consolidated fund of India
Solution : Correct answer is consolidated fund of India
The pension of the High Court Judges is given from the consolidated of India. But the salaries and allowances of the judges of the high courts are charged on the consolidated fund of states where
Question : Two circles with centres A and B touch each other externally, PQ is a direct common tangent which touches the circle at P and Q. If the radii of the circles are 9 cm and 4 cm, respectively, then the length of PQ (in cm) is equal to:
Option 1: 5
Option 2: 13
Option 3: 6.5
Option 4: 12
Correct Answer: 12
Solution : Let $r{_1}$ and $r{_2}$ be the radii of the two circles, and let $d$ be the distance between their centres. In this case: $d=r{_1}+r{_2}$ Given that the radii are 18 cm and 8 cm, we have: $d=9+4=13\ \mathrm{cm}$ Now, the direct common tangent is the
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