Staff Selection Commission Combined Higher Secondary Level Exam
Question : Let $A, B, C,$ and $D$ be the angles of a quadrilateral. If they are concyclic, then the value of $\cos\ A+\cos\ B+\cos\ C+\cos\ D$ is:
Option 1: 0
Option 2: 1
Option 3: –1
Option 4: 2
Correct Answer: 0
Solution : $A, B, C$, and $D$ are the angles of a quadrilateral and they are concyclic. So, $\angle A+\angle C=\angle B+\angle D=180°$ $\angle A=180°–\angle C$ $\therefore\cos\ A=\cos(180°-C)=–\cos\ C$ Similarly, $\cos\ D=–\cos\ B$ $\cos\ A+\cos\ B+\cos\ C+\cos\ D$ $=\cos\ A+\cos\ B-\cos\ A-\cos\ B$ $=0$ Hence, the correct
Question : Kanchenjunga National Park is located at :
Option 1: Uttar Pradesh
Option 2: West Bengal
Option 3: Sikkim
Option 4: Jammu and Kashmir
Correct Answer: Sikkim
Solution : The correct option is Sikkim.
Nearly half of India's bird species, wild trees, orchids, rhododendrons, and a third of the nation's floral plants can be found at Kanchenjunga National Park. The Indian state of Sikkim is home to Kanchenjunga National Park, often referred to as
Question : Directions: If a mirror is placed on the line RS, then which of the answer figures is the right image of the given figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. So, according to the above property and the information provided, the mirror is placed on the top side of the figure (on line RS). So, the top side of the
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).
She sat on the tree to protect herself from the rain.
(1) sat upon
(2) sat before
(3) sat under
(4) No improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The sentence can be improved using the third alternative.
"Under" is the correct preposition, which is to be used in place of "on" to correctly fit into the context of the sentence and convey its intended meaning i.e., she sat under the tree, meaning
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
(Take off) your shoes before you enter the temple.
(1) Put away
(2) Extract
(3) Put off
(4) No Improvement
Correct Answer: (4)
Solution : The fourth option is the correct choice.
The phrasal verb take off means to remove shoes from the feet, which is the intended meaning here.
The meanings of the other options are as follows:
Question : Directions: Three of the following number pairs are alike in some manner and one is different. Select the odd number pair. (NOTE: The second number in the given number pairs is formed by performing a certain operation on the first number. The same operation is followed in all the number pairs except one. Find that odd number pair.)
Option 1: 297 : 33
Option 2: 189 : 21
Option 3: 100 : 12
Option 4: 63 : 7
Correct Answer: 100 : 12
Solution : Let's check the options –
First option: 297 : 33→33 × 9 = 297 Second option: 189 : 21→21 × 9 = 189 Third option: 100 : 12→12 × 9 = 108 ≠ 100 Fourth option: 63 :
Question : Directions: In the following question, select the missing number from the given responses.
Option 1: 8
Option 2: 13
Option 3: 4
Option 4: 12
Correct Answer: 13
Solution : Like in, the first tree, 4 × 3 = 12; 12 × 3 = 36 And in, the third tree, 8 × 2 = 16; 16 × 2 = 32 Similarly, in the second tree 13 × 1 = 13; 13 × 1 = 13
Question : Which of the following is mentioned in Article 39A of the Indian Constitution?
Option 1: To secure adequate means of livelihood.
Option 2: To promote equal justice and to provide free legal aid.
Option 3: Equal pay for equal work.
Option 4: Prevention of concentration of wealth.
Correct Answer: To promote equal justice and to provide free legal aid.
Solution : The correct option is To promote equal justice and provide free legal aid.
Article 39A of the Indian Constitution pertains to the promotion of equal justice and the provision of free legal aid. It states:
Question : Directions: IKLN is related to FHIK in a certain way based on the English alphabetical order. In the same way, GIJL is related to DFGl. To which of the following is MOPR related, following the same logic?
Option 1: JMOP
Option 2: JKMO
Option 3: JLMO
Option 4: JLNO
Correct Answer: JLMO
Solution : Given: IKLN is related to FHIK –
Subtract 3 from the place value of each letter of IKLN to obtain the required code – I – 3 = F; K – 3 = H; L – 3 = I; N – 3 = K Thus,
Question : The three sides of a triangle are 7 cm, 9 cm, and 8 cm. What is the area of the triangle?
Option 1: $12 \sqrt{3} \;\mathrm{Sq} . \mathrm{cm}$
Option 2: $10\sqrt{3} \;\mathrm{Sq} . \mathrm{cm}$
Option 3: $12 \sqrt{5} \;\mathrm{Sq} . \mathrm{cm}$
Option 4: $2 \sqrt{5} \;\mathrm{Sq} . \mathrm{cm}$
Correct Answer: $12 \sqrt{5} \;\mathrm{Sq} . \mathrm{cm}$
Solution : Using the formula: $s = \frac{(a + b + c)}{2}$ $s = \frac{(7 + 9 + 8)}{2}$ $s = \frac{24}{2}$ $s = 12$ cm Now, plug the values of a, b, c, and s into Heron's formula to find the area
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