Staff Selection Commission Sub Inspector Exam
Question : What is the sum of the digits of the least number which when divided by 15,18, and 36 leaves the same remainder 9 in each case and is divisible by 11?
Option 1: 15
Option 2: 16
Option 3: 18
Option 4: 17
Correct Answer: 18
Solution : The least number which leaves the same remainder when divided by 15, 18, and 36 is the least common multiple (LCM) of these numbers plus the remainder. 15 = 3 × 5 18 = 2 × 32 36 = 22 × 32
Question : Read the given characteristic features of the Indian Desert. Which statement is not correct about the Indian Desert?
Option 1: It receives 500 mm rainfall per year.
Option 2: It has sand dunes.
Option 3: It lies northwest of the Aravalli Hills.
Option 4: It is also known as Marusthali.
Correct Answer: It receives 500 mm rainfall per year.
Solution : The correct option is It receives 500 mm of rainfall per year.
The statement "It receives 500 mm of rainfall per year" is not correct about the Indian Desert. The Indian Desert, also known as the Thar Desert,
Question : As per Union Budget 2019-20, the tax rate has been reduced to _________for companies with annual turnover up to INR 400 crore.
Option 1: 21%
Option 2: 11%
Option 3: 19%
Option 4: 25%
Correct Answer: 25%
Solution : The correct option is 25%.
The Finance Minister of India recommended a drop in the corporation tax rate for some companies in the Union Budget for the 2019–20 fiscal year. 25% was the lower corporate tax rate for businesses with annual sales up to
Question : A circle is inscribed in a triangle ABC. It touches sides AB, BC, and AC at points R, P, and Q, respectively. If AQ = 2.6 cm, PC = 2.7 cm, and BR = 3 cm, then the perimeter (in cm) of the triangle $\triangle \mathrm{ABC}$ is:
Option 1: 16.6
Option 2: 33.2
Option 3: 30
Option 4: 28
Correct Answer: 16.6
Solution : The circle is inscribed in a triangle ABC. It touches sides AB, BC, and AC at points R, P, and Q, respectively. AQ = 2.6 cm, PC = 2.7 cm, BR = 3 cm Concept Used: The lengths of two tangents drawn on a circle
Question : The value of $\frac{4.35×4.35×4.35+3.25×3.25×3.25}{43.5×43.5+32.5×32.5-43.5×32.5}$ is:
Option 1: 0.0076
Option 2: 0.76
Option 3: 0.076
Option 4: 7.6
Correct Answer: 0.076
Solution : Given: $\frac{4.35×4.35×4.35+3.25×3.25×3.25}{43.5×43.5+32.5×32.5-43.5×32.5}$ = $\frac{(4.35^{3}) + ( 3.25)^{3}}{43.5^{2} + 32.5^{2} - 43.5 × 32.4}$ = $\frac{(4.35 + 3.25)(4.35^{2} + 3.25^{2} - 4.35 × 3.25)}{100×(4.35^{2} + 3.25^{2} - 4.35 × 3.25)}$ = $\frac{4.35 + 3.25}{100}$ = $\frac{7.6}{100}$ = 0.076 Hence, the correct answer is 0.076.
Question : Directions: Select the correct option that indicates the arrangement of the given words in the order in which they appear in an English dictionary. 1. Warehouse 2. Warden 3. Warship 4. Wardrobe 5. Warrant 6. Warfare
Option 1: 4, 2, 1, 6, 5, 3
Option 2: 2, 4, 1, 6, 5, 3
Option 3: 2, 4, 6, 5, 1, 3
Option 4: 2, 4, 1, 5, 6, 3
Correct Answer: 2, 4, 1, 6, 5, 3
Solution : Given: 1. Warehouse 2. Warden 3. Warship 4. Wardrobe 5. Warrant 6. Warfare
Step 1: Compare the first, second, and third letter of each word. Since all the words start with the same letter W and are followed by a
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.
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. 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 : Substitute one word for the italicised expression.
The Bishop criticised the Government for its having no sympathy and an uncaring attitude to the homeless and the unemployed.
Option 1: merciful
Option 2: callous
Option 3: tender
Option 4: compassionate
Correct Answer: callous
Solution : The correct choice is the second option.
The word callous describes someone who is emotionally insensitive, unfeeling, or indifferent to the suffering of others. It aligns with the idea of lacking sympathy and having an uncaring attitude. In the context of the sentence, the Bishop
Question : Directions: Hari is twice as old as Johnny, who is three years older than Rahul. If Hari's age is five times Rahul's age, how old is Johnny?
Option 1: 2 years
Option 2: 4 years
Option 3: 5 years
Option 4: 8 years
Correct Answer: 5 years
Solution : Let the ages of Hari, Johnny, and Rahul be H, J, and R respectively.
Hari is twice as old as Johnny ⇒ H = 2 × J (1st equation) Johnny is three years older than Rahul ⇒ R + 3 = J ⇒ R
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank.
Let us take a brief look at the planet (1)______ which we live. As the earth hurtles through space at a (2)______ of 70, 000 miles per hour, it spins, as we all know, on its axis, (3)______ causes it to be flattened at the poles. Thus, if you (4)______ to stand at the North or South Pole, you would be 13 miles nearer the centre of the earth (5)______ if you stood on the Equator. Question
Select the most appropriate option to fill in the blank no. 4.
Option 1: are
Option 2: was
Option 3: were
Option 4: have
Correct Answer: were
Solution : The third option is the correct answer.
The sentence describes a hypothetical scenario or condition. It presents a situation that is contrary to reality because the speaker is not actually standing at the North or South Pole. The subjunctive form of the verb "to be"
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