Staff Selection Commission Sub Inspector Exam
Question : Directions: Select the number that can replace the question mark (?) in the following series. 1, 11, 35, 79, ?, 251
Option 1: 152
Option 2: 149
Option 3: 105
Option 4: 150
Correct Answer: 149
Solution : Given: 1, 11, 35, 79, ?, 251
The pattern is as follows –
So, 149 is the missing number of the series. Hence, the second option is correct.
Question : Directions: Arrange the following words in the order in which they appear in an English dictionary. 1. Meticulous 2. Metric 3. Method 4. Mettle 5. Meter
Option 1: 5, 3, 1, 4, 2
Option 2: 3, 4, 5, 1, 2
Option 3: 5, 3, 1, 2, 4
Option 4: 5, 1, 3, 2, 4
Correct Answer: 5, 3, 1, 2, 4
Solution : Given: 1. Meticulous 2. Metric 3. Method 4. Mettle 5. Meter
Step 1: Compare the first, second, and third letters of each word. Since all the words start with the same letter M and are followed by e and t,
Question : The given bar graph shows the sales of cars from six branches of a dealer B1, B2, B3, B4, B5, and B6, during two consecutive years 2018 and 2019. Blue colour corresponds to the year 2018 and red colour corresponds to the year 2019.
The average sale of cars (from all branches) for the year 2018 is:
Option 1: 78
Option 2: 90
Option 3: 85
Option 4: 80
Correct Answer: 80
Solution : Average sale of cars (from all branches) for the year 2018 = $\frac{80+75+95+85+75+70}{6}$ = $\frac{480}{6}$ = 80 Hence, the correct answer is 80.
Question : If $a=331, b=336$ and $c=–667$, then the value of $a^3+b^3+c^3–3abc$ is:
Option 1: 1
Option 2: 63
Option 3: 3
Option 4: 0
Correct Answer: 0
Solution : $a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)$ If $a+b+c=0$, then $a^3+b^3+c^3-3abc=0$ Here $a+b+c= 331+336-667=0$ So, $a^3+b^3+c^3-3abc=0$ Hence, the correct answer is 0.
Question : Directions: Select the correct mirror image of the given pattern when the mirror is placed at MN as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on Line MN). So, the left side of the reflected image will appear
Question : Directions: In the given question, select the related letter from the given alternatives. KML : NPO :: CED : ?
Option 1: EGF
Option 2: GHF
Option 3: FHG
Option 4: HGF
Correct Answer: FHG
Solution : Given: KML : NPO :: CED : ?
Add 3 to the place value of each letter to get the corresponding letter in the next letter cluster.
KML→K + 3 = N; M + 3 = P; L + 3 = O⇒NPO Similarly, CED→C +
Question : Identify the correct type of food chain:
Dead animal→maggots→frog→snake
Option 1: Decomposer food chain
Option 2: Detritus food chain
Option 3: Grazing food chain
Option 4: Parasitic food chain
Correct Answer: Detritus food chain
Solution : The correct option is the Detritus food chain.
The detritus food chain (DFC) is a form of food chain that begins with dead organic matter as the major source of energy, and nutrients, including decaying plants, and animals. The detritus food chain,
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2 and 3 that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
The speech he gave was highly informative.
(1) deliver
(2) made
(3) give
(4) No Improvement
Option 2: 2
Option 4: 4
Correct Answer: 2
Solution : The correct alternative is the second option.
Explanation: While "made" is a synonym for "gave" in some contexts it is the most appropriate choice here as the verb "made" is suitable for creating as well as delivering a speech.
So, the correct sentence would be:
Question : Some medicine in liquid form is prepared in a hemispherical container of diameter 36 cm. When the container is full of medicine, the medicine is transferred to small cylindrical bottles of diameter 6 cm and height 6 cm. How many bottles are required to empty the container?
Option 1: 76
Option 2: 72
Option 3: 70
Option 4: 75
Correct Answer: 72
Solution : Diameter of hemisphere = 36 cm Radius, $R$ = 18 cm Diameter of cylinder = 6 cm Radius, $r$ = 3 cm Height of cylinder = 6 cm Let $n$ be the number of cylinders, Volume of hemisphere = Volume of all cylinders $\frac{2}{3} \pi
Question : Directions: In a certain code language, OIL is coded as 27 and CREAM is coded as 125. How will POWDER be coded in the same language?
Option 1: 225
Option 2: 216
Option 3: 198
Option 4: 169
Correct Answer: 216
Solution : Given: OIL is coded as 27, CREAM is coded as 125
Count the number of the letters in the given word and write the cube of that number to obtain the required code. OIL→Number of letters in the word = 3; (3)3 = 27
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