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Question : A ladder leaning against a wall makes an angle $\theta$ with the horizontal ground such that $\tan \theta=\frac{12}{5}$. If the height of the top of the ladder from the wall is 24 m, then what is the distance (in m) of the foot of the ladder from the wall?
Option 1: 18
Option 2: 19.5
Option 3: 7.5
Option 4: 10
Correct Answer: 10
Solution : The ladder leaning against the wall makes an angle $\theta$ with the horizontal ground such that $\tan \theta = \frac{12}{5}$. The height of the top of the ladder from the wall is = 24 m Concept Used: $\tan \theta = \frac{\text{Height}}{\text{Base}}$ Accordingly, Let the base
Question : Select the most appropriate option to improve the underlined segment in the given sentence. If there is no need to improve it, select ‘no improvement required’.
Nobody was interested in the fish who Gopal had catch from the river
Option 1: which Gopal had catch
Option 2: No improvement required
Option 3: who Gopal had caught
Option 4: which Gopal had caught
Correct Answer: which Gopal had caught
Solution : The fourth option is correct.
Question : Select the option that expresses the given sentence in reported speech. Albus said to his friends, "Everyone is staring at us again."
Option 1: Albus was told by his friends that everyone is staring at them again.
Option 2: Albus told his friends that everyone was staring at them again.
Option 3: Albus informed his friends everyone was staring at us again.
Option 4: His friends were told by Albus that everyone was staring at us again.
Correct Answer: Albus told his friends that everyone was staring at them again.
Solution : The correct choice is the second option.
Indirect speech, also known as reported speech or indirect discourse, is a way of reporting what someone else has said without quoting their exact words.
Narration conversion:
Question : All of the following are freedom fighters of India who were hanged to death on 23 March 1931 in the Lahore conspiracy case, except_______.
Option 1: Sukhdev
Option 2: Rajguru
Option 3: Mahatma Gandhi
Option 4: Bhagat Singh
Correct Answer: Mahatma Gandhi
Solution : The correct answer is Mahatma Gandhi
In the Lahore conspiracy case, which was initiated to exact revenge on Lala Lajpat Rai, Bhagat Singh, Rajguru, and Sukhdev were put on trial for the murder of Saunders. Following their conviction, they received a death sentence. March
Question : Directions: By interchanging the given two signs which of the following equations will be not correct? + and –
Option 1: 8 ÷ 4 × 6 + 5 – 9 = 16
Option 2: 15 + 3 × 4 – 6 ÷ 2 = 6
Option 3: 3 × 2 – 72 ÷ 6 + 8 = 18
Option 4: 3 + 4 – 2 × 5 ÷ 1 = 9
Correct Answer: 3 × 2 – 72 ÷ 6 + 8 = 18
Solution : Let's check the options – First option: 8 ÷ 4 × 6 + 5 – 9 = 16 On interchanging the given signs, the equation becomes – ⇒ 8 ÷ 4 × 6 – 5
Question : Directions: The following graph shows the production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given question. The approximate percentage decrease in the production of type Q vehicles from 2010 to 2011 is:
Option 1: 10.1
Option 2: 16.7
Option 3: 14.3
Option 4: 12.5
Correct Answer: 16.7
Solution : Production of type Q vehicles in 2010 = 150 Production of type Q vehicles in 2011 = 125 Approximate percentage decrease in production of type Q vehicles from 2010 to 2011 = $\frac{150-125}{150}×100$ = 16.67% Hence, the correct answer is 16.7.
Question : Directions: In the given question, select the related letter cluster from the given alternatives. BDAC : FHEG :: NPMO : ?
Option 1: RTQS
Option 2: QTRS
Option 3: RQTS
Option 4: SQRT
Correct Answer: RTQS
Solution : Given: BDAC : FHEG :: NPMO : ?
Add 4 to the place value of each letter of BDAC to obtain the required code – B + 4 = F; D + 4 = H; A + 4 = E; C + 4 = G
Question : Directions: From the given answer figures, select the one in which the question figure is hidden/embedded.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Because there is no restriction on the rotation of the figure, we will check all the possible orientations of the question figure in which of the given option figures it can fit itself. By comparison of all option figures, the question figure is embedded only in
Question : What is the average of the natural numbers from 1 to 43?
Option 1: 32
Option 2: 22
Option 3: 44
Option 4: 43
Correct Answer: 22
Solution : Average of first $n$ natural numbers = $\frac{n+1}{2}$ So, required average = $\frac{1 + 43}{2}$ = 22 Hence, the correct answer is 22.
Question : Which of the following pairs of 'number – composition' is correct?
I. Atomic number – number of protons II. Mass number – Sum of number of neutrons and protons
Option 1: Only I
Option 2: Neither I nor II
Option 3: Both I and II
Option 4: Only II
Correct Answer: Both I and II
Solution : The correct option is Both I and II.
The atomic number of an element is equal to the number of protons in its nucleus. It uniquely identifies an element.
Thus, the atomic number-number of protons statement is correct.
The mass number of
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