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Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
Every child in the class (1) / are wearing (2) / sandals today. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
"Every" is used as a singular noun and should be followed by a singular verb. Thus, "are" should be replaced with "is".
Therefore, the correct sentence is: Every child in the class is wearing
Question : Directions: Identify the figure given in the options which when put in place of (?) will logically complete the series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure – The image inside the box rotates 90 in a clockwise direction in each figure. So, the next figure of the series will be –
Hence, the second option is correct.
Question : If the four numbers, 39, 117, 17, and y are in proportion, then find the value of $y$.
Option 1: 49
Option 2: 51
Option 3: 57
Option 4: 85
Correct Answer: 51
Solution : Given: The four numbers 39, 117, 17, and $y$ are in proportion. ⇒ $\frac{39}{117} = \frac{17}{y}$ ⇒ $y = \frac{117\times 17}{39} = 51$ Hence, the correct answer is 51.
Question : Two trains, 80 m and 120 m long, are running at the speeds of 25 km/hr and 35 km/hr, respectively in the same direction on parallel tracks. How many seconds will they take to pass each other?
Option 1: 48
Option 2: 64
Option 3: 70
Option 4: 72
Correct Answer: 72
Solution : Distance to be covered = 80 + 120 = 200 m Relative speed = 35 – 25 = 10 km/hr = 10 × $\frac{5}{18}$ = $\frac{50}{18}$ m/s $\therefore$ Time taken to pass = $\frac{\text{Sum of the length of the trains}}{\text{Relative Speed}}=\frac{200}{\frac{50}{18}}$ = 72 seconds Hence,
Question : Directions: In the following question, four number pairs are given. In each pair, the number on the left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three pairs are similar based on the same Logic/Rule/Relation. Select the odd one out from the given alternatives. (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.)
Option 1: 11 – 23
Option 2: 9 – 16
Option 3: 25 – 51
Option 4: 13 – 27
Correct Answer: 9 – 16
Solution : Let's check each option – First option: 11 – 23; 11 × 2 + 1 = 23 Second option: 9 – 16; 9 × 2 + 1 = 19 ≠ 16 Third option: 25 – 51; 25 × 2 + 1 = 51
Question : Leaving agriculture land uncultivated for some years known as:
Option 1: Intensive farming
Option 2: Fallowing
Option 3: Shifting cultivation
Option 4: Subsistence farming
Correct Answer: Fallowing
Solution : The correct answer is Fallowing.
Fallowing in agricultural system is the process of leaving a ploughed field uncultivated for a season or more. It helps the soil in regaining its fertility. During this period soil regains its lost nutrients, moisture and organic matter. It is
Question : If $\theta>0$ be an acute angle, then the value of $\theta$ in degrees satisfying $\frac{\cos^2\theta-3 \cos\theta+2}{\sin^2\theta}=1$ is:
Option 1: 90°
Option 2: 30°
Option 3: 45°
Option 4: 60°
Correct Answer: 60°
Solution : Given: $\frac{\cos^2\theta-3\cos\theta+2}{\sin^2\theta}=1$ ⇒ $\cos^2\theta-3\cos\theta+2=\sin^2\theta$ ⇒ $\cos^2\theta-2 \cos\theta+1-\cos\theta+1=\sin^2\theta$ ⇒ $(\cos\theta-1)^2-(\cos\theta-1)=1-\cos^2\theta$ ⇒ $(\cos\theta-1)(\cos\theta-1-1)=1-\cos^2\theta$ ⇒ $(\cos\theta-1)(\cos\theta-2)=-(\cos\theta-1)(1+\cos\theta)$ ⇒ $\cos\theta-2=-1-\cos\theta$ ⇒ $2\cos\theta=1$ ⇒ $\cos\theta=\frac{1}{2}$ ⇒ $\theta=60°$ Hence, the correct answer is 60°.
Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series. BXM, EUP, HRS, ?
Option 1: XZY
Option 2: RPN
Option 3: VTU
Option 4: KOV
Correct Answer: KOV
Solution : Given: BXM, EUP, HRS, ?
In the given series, add 3 to the place value of the first and third letters and subtract 3 from the place value of the second letter of the previous term to obtain the next term. BXM→B + 3 =
Question : Directions: If A stands for ÷, B stands for ×, C stands for +, D stands for –. What will come in place of the question mark (?) in the following equation? 83 C 7 B 539 A 49 D 29 = ?
Option 1: 131
Option 2: 171
Option 3: 121
Option 4: 180
Correct Answer: 131
Solution : Given: 83 C 7 B 539 A 49 D 29 = ?
After replacing the letters with the mathematical signs, the equation becomes – = 83 + 7 × 539 ÷ 49 – 29 = 83 + 7 × 11 – 29 = 83 +
Question : In India, which of the following bills cannot be introduced in the Rajya Sabha?
Option 1: Both Constitutional Amendment and ordinary bills
Option 2: The Constitutional Amendment bill
Option 3: The money bill
Option 4: The ordinary bill
Correct Answer: The money bill
Solution : The correct answer is a Money bill.
Money bills can only be discussed in Lok Sabha with the President's prior approval. A money bill must be returned to the Lok Sabha within 14 days, or the law is assumed to have passed
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