Staff Selection Commission Sub Inspector Exam
Question : A person has to travel a distance of 30 km. He finds that he has covered $\frac{5}{6}$th of the distance in 3 hours and 20 minutes. what is his speed in km/hr?
Option 1: 6
Option 2: 5.4
Option 3: 6.3
Option 4: 7.5
Correct Answer: 7.5
Solution : Given: Total distance = 30 km 3 hr 20 min $= 3 + \frac{20}{60} = 3 + \frac{1}{3} = \frac{10}{3}$ $\frac{5}{6}$th of the distance $= 30 × \frac{5}{6}= 25$ km Speed of the person = $\frac{25}{\frac{10}{3}}= 7.5$ km/hr Hence, the correct answer is 7.5 km/hr.
Question : Which of the following painters of Jahangir's reign was conferred the title of Nadir-Ul-Asra?
Option 1: Bishan Das
Option 2: Mansur
Option 3: Manohar
Option 4: Daulat
Correct Answer: Mansur
Solution : The correct option is Mansur
Mansur was in charge of recording plants and animals during Jahangir's reign. He adopted the name Ustad Mansur and the emperor gave him the honorific title Nadir-ul- 'Asr (meaning "Miracle of the Age"). Because of his skills and expertise, he
Question : Ramesh borrowed INR 15,000 at a certain rate of simple interest from a bank. He repaid (the principal but not interest) INR 6,000 after 5 years, and after 5 more years he paid INR 18,600 and settled his account. Find the rate of simple interest per annum.
Option 1: 12%
Option 2: 10%
Option 3: 8%
Option 4: 6%
Correct Answer: 8%
Solution : Total amount = 6000 + 18600 = 24600 Principal sum, $P = 15000$ Simple interest = Total amount - principal sum = 24600 - 15000 = 9600 $n_1 = 5$ years $n_2 = 5$ years $P_2$ = 15000 - 6000 = 9000 Total simple interest
Question : Which among the following festivals is celebrated in Jharkhand during the spring when the saal trees wear new leaves?
Option 1: Karam
Option 2: Sarhul
Option 3: Jawa
Option 4: Sohrai
Correct Answer: Sarhul
Solution : The correct answer is Sarhul.
Sarhul is a spring festival celebrated in Jharkhand, India. During this season, the Saal trees blossom with new flowers, marking a significant natural event. The festival involves worshipping the village deity, considered the tribes' protector. People engage in lively
Question : The length of the common chord of two intersecting circles is 24 cm. If the diameter of the circles are 30 cm and 26 cm, then the distance between the centres (in cm) is:
Option 1: 16 cm
Option 2: 14 cm
Option 3: 18 cm
Option 4: 12 cm
Correct Answer: 14 cm
Solution : The length of the common chord = 24 cm Diameter of the 1st circles = 30 cm Radius of 1st circle = 15 cm Diameter of 2nd circle = 26 cm Radius of 2nd circle = 13 cm The line joining the centres bisects
Question : What is a brine solution?
Option 1: Excess salt + water
Option 2: Silver
Option 3: Excess ethanol + water
Option 4: Excess starch + water
Correct Answer: Excess salt + water
Solution : The correct option is Excess salt + water.
A brine solution is a mixture of water and excess salt, most commonly sodium chloride (NaCl). It is commonly used for a variety of purposes, including food preservation (such as pickling), flavouring and
Question : Directions: If + means –, – means ×, × means ÷, and ÷ means +, then what will come in place of (?) in the given equation? 30 + 5 – 2 × 10 ÷ 2 = ?
Option 1: 50
Option 2: 31
Option 3: 80
Option 4: 60
Correct Answer: 31
Solution : Given: + means –, – means ×, × means ÷, and ÷ means + 30 + 5 – 2 × 10 ÷ 2 = ?
After interchanging the given mathematical signs, we get – ⇒ 30 – 5 × 2 ÷ 10 + 2 ⇒
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
Option 1: 60
Option 2: 50
Option 3: 55
Option 4: 75
Correct Answer: 55
Solution : Given:
The pattern can be observed running vertically down the columns. Column 1: (9)2 – (6)2 = 81 – 36 = 45 Column 3: (12)2 – (8)2 = 144 – 64 =
Question : Directions: In this question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
There are no solitary, free-living creatures; every form of life is ___ other forms.
Option 1: dependent on
Option 2: parallel to
Option 3: overshadowed by
Option 4: segregated from
Correct Answer: dependent on
Solution : The correct answer is the first option.
This sentence suggests that all forms of life rely on or are interconnected with other forms of life, indicating a state of dependency.
The meanings of the other options are as follows:
Segregated from: It refers
Question : $2(\sin 1^{\circ}× \sec 89^{\circ} ) + 3 (\cos 11^{\circ} × \operatorname{cosec} 79^{\circ}) + 5 (\tan 21^{\circ} × \tan 69^{\circ})$ = ?
Option 1: 11
Option 2: 12
Option 3: 20
Option 4: 10
Correct Answer: 10
Solution : $2(\sin 1^{\circ}× \sec 89^{\circ} ) + 3 (\cos 11^{\circ} × \operatorname{cosec} 79^{\circ}) + 5 (\tan 21^{\circ} × \tan 69^{\circ})$ = $2(\frac{\sin 1^{\circ}}{ \cos 89^{\circ}} ) + 3 (\frac{\cos 11^{\circ}}{ \sin 79^{\circ}}) + 5 (\frac{\tan 21^{\circ} }{\cot 69^{\circ}})$ = $2(\frac{\sin 1^{\circ}}{ \sin(90^{\circ}- 89^{\circ})} ) + 3
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