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Staff Selection Commission Combined Graduate Level Exam

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Question : Find the value of $\cos 47^\circ \sec 133^\circ + \sin 44^\circ \text{cosec}\; 136^\circ $.

Option 1: $\frac{1}{2}$

Option 2: $1$

Option 3: $0$

Option 4: $–1$

Team Careers360 23rd Jan, 2024

Correct Answer: $0$


Solution : We know that $\sec (90°+ \theta) = –  \ \text{cosec}\; \theta$ and $\text{cosec} \;(90°+\theta) = \sec \theta$
$\cos 47^\circ \sec 133^\circ + \sin 44^\circ \ \text{cosec}\;136^\circ $
$=\cos 47^\circ \sec (90^\circ + 43^\circ) + \sin 44^\circ \ \text{cosec} \;(90^\circ + 46^\circ) $
$=-\cos 47^\circ \text{cosec}\;43^\circ

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Question : Which one of the following pairs in not correctly matched ?

Option 1: Hevea Tree - Brazil

Option 2: Sumatra - Indonesia

Option 3: Kajan River - Borneo

Option 4: Dekke Toba fish - Brazil

Team Careers360 21st Jan, 2024

Correct Answer: Dekke Toba fish - Brazil


Solution : The correct answer is Dekke Toba fish - Brazil.

Dekke Toba fish is found in Lake Toba in Sumatra in Indonesian archipelago.

Other options- 

  • Hevea tree is a rubber plant which is majorly found in Brazil.
  • Kajan river flows through the
22 Views

Question : Directions: In the following question, select the related number from the given alternatives.
42 : 20 :: 64 : ?

Option 1: 31

Option 2: 32

Option 3: 33

Option 4: 34

Team Careers360 16th Jan, 2024

Correct Answer: 31


Solution : Given:
42 : 20 :: 64 : ?

Subtract 2 from the first number and then divide it by 2 to obtain the second number of each pair.
Like, 42 : 20→(42 – 2) ÷ 2 = 40 ÷ 2 = 20
Similarly, follow the

12 Views

Question : Given below are four sentences in jumbled order. Pick the option that gives their correct order.

A. He heard some robbers planning to commit a robbery at the moneylender's house.
B. A man was roaming in the village at night.
C. However, the robbers outnumbered him and overpowered him easily.
D. He followed them and confronted them boldly.

Option 1: DBCA

Option 2: BCAD

Option 3: CDAB

Option 4: BADC

Team Careers360 15th Jan, 2024

Correct Answer: BADC


Solution : The fourth option is the correct choice.

The sequence begins with sentence B, introducing a man wandering in the village at night. Sentence A follows, stating that he heard robbers planning a robbery at the moneylender's house. Sentence D comes next, describing how he

20 Views

Question : Two pipes of lengths of 1.5 m and 1.2 m are to be cut into equal pieces without leaving any extra length of pipes. The greatest length of the pipe pieces of the same size that can be cut from these two lengths will be:

Option 1: 0.13 metre

Option 2: 0.4 metre

Option 3: 0.3 metre

Option 4: 0.41 metre

Team Careers360 20th Jan, 2024

Correct Answer: 0.3 metre


Solution : Given: The lengths of the two pipes are 1.5 m and 1.2 m.
HCF of (1.5, 1.2) = HCF of ($\frac{15}{10}, \frac{12}{10}$) = $\frac{3}{10}$ = 0.3
So, the greatest length of the pipe of the same size that can be cut from these two

18 Views

Question : What is the chemical formula of vinegar?

Option 1: HCOOH

Option 2: CH3COOH

Option 3: (COOH)2

Option 4: C6H5COOH

Team Careers360 21st Jan, 2024

Correct Answer: CH3COOH


Solution : The correct answer is CH3COOH.

Among the carboxylic acids, Acetic acid (CH3COOH), also referred to as Ethanoic acid, is crucial. Acetic acid is produced by fermentation and oxidation of natural carbohydrates, resulting in a diluted solution known as Vinegar

80 Views

Question : Which of the following folk dances does not belong to the state of Mizoram?

Option 1: Munari

Option 2: Chailam

Option 3: Zangtalam

Option 4: Cheraw

Team Careers360 13th Jan, 2024

Correct Answer: Munari


Solution : The correct option is Munari.

Munari is not typically associated with folk dances in Mizoram. Munari is a traditional folk dance form from the state of Assam, not Mizoram. In Mizoram, various traditional folk dances are performed, reflecting the rich cultural heritage of the

33 Views

Question : What do you call the type of drugs that mimic the natural messenger by switching on the receptor?

Option 1: Antidepressants

Option 2: Depressants

Option 3: Agonists

Option 4: Antagonists

Team Careers360 20th Jan, 2024

Correct Answer: Agonists


Solution : The correct option is Agonists.

The drugs that mimic the natural messenger by switching on the receptor are called agonists. These are useful when there is a lack of natural chemical messengers. Agonist drugs are widely used in medicine to either enhance or mimic the

14 Views

Question : If $a+\frac{1}{a}=2$, then the value of $(a^{5}+\frac{1}{a^{5}})$ will be:

Option 1: 0

Option 2: 1

Option 3: 3

Option 4: 2

Team Careers360 16th Jan, 2024

Correct Answer: 2


Solution : Given: $a+\frac{1}{a} = 2$
If we take $a=1$, then LHS = $1+\frac{1}{1}=2$ = RHS
So, $a=1$ satisfies the equation.
Now, $a^5+\frac{1}{a^5}=1^5+\frac{1}{1^5}=2$
Hence, the correct answer is 2.

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