Staff Selection Commission Sub Inspector Exam
Question : Water flows at the rate of 10 meters per minute from a cylindrical pipe 5 mm in diameter. How long does it take to fill up a conical vessel whose diameter at the base is 30 cm and depth 24 cm?
Option 1: 28 minutes 48 seconds
Option 2: 51 minutes 12 seconds
Option 3: 51 minutes 24 seconds
Option 4: 28 minutes 36 seconds
Correct Answer: 28 minutes 48 seconds
Solution : Given: Water flows at the rate of 10 meters per minute from a cylindrical pipe 5 mm in diameter. Volume of water flown from cylindrical pipe of radius $r$ in 1 min = $\pi \times r^2\times \text{Rate of flow}$ Height of conical
Question : If the difference between the compound interest and simple interest at 17%; on a sum of money for 2 years (compounded annually) is INR 433.50, then the compound interest (in INR) is:
Option 1: 2,735.50
Option 2: 2,500
Option 3: 5,100
Option 4: 5,533.50
Correct Answer: 5,533.50
Solution : Given: Difference = INR 433.50 Rate = 17% Time = 2 years We know that, $D=P(\frac{r}{100})^2$, where $D$ = Difference between CI and SI, $P$ = Principal, $r$ = Rate of interest ⇒ $433.50=P(\frac{17}{100})^2$ ⇒ $433.50=P\times\frac{17}{100}\times\frac{17}{100}$ ⇒ $P=15000$ Now, $CI= P((1+\frac{R}{100})^{T}-1)$ $= 15000((1+\frac{17}{100})^{2}-1)$ $= 15000((\frac{117}{100})^{2}-1)$
Question : In India how many times has the President declared a Financial Emergency?
Option 1: Once
Option 2: Never
Option 3: Thrice
Option 4: Twice
Correct Answer: Never
Solution : The correct answer is Never.
A financial emergency has never been declared in India. A financial emergency may be declared by the President by Article 360 if the President believes that all or a portion of India's financial stability or credit is in jeopardy. Within
Question : The Second Battle of Panipat was fought between which two armies?
Option 1: Babur and Lodi Empire
Option 2: Babur and Rana Sanga
Option 3: Akbar and Hemu
Option 4: Akbar and Rana of Mewar
Correct Answer: Akbar and Hemu
Solution : The correct option is Akbar and Hemu.
On November 5, 1556, The Mughal Emperor Akbar and the Hindu emperor of North India, Hemu, engaged in the Second Battle of Panipat. Even though Hemu had a larger army than the Mughals, the latter
Question : Which of the following is not a national political party as of October 2022?
Option 1: Bahujan Samaj Party
Option 2: National Conference
Option 3: Bhartiya Janata Party
Option 4: Nationalist Congress Party
Correct Answer: National Conference
Solution : The correct option is the National Conference.
The National Conference is not a national political party. It is a regional political party primarily active in the Indian-administered union territory of Jammu and Kashmir as of 2022. Founded by Sheikh Abdullah in 1932, it has
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (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.) (9, 55, 64) (7, 43, 50)
Option 1: (7, 42, 50)
Option 2: (8, 32, 41)
Option 3: (4, 17, 21)
Option 4: (5, 31, 36)
Correct Answer: (5, 31, 36)
Solution : Given: (9, 55, 64); (7, 43, 50)
Multiply the first by 6, then add 1 to the resultant number, to obtain the second number. Multiply the first number by 7, then add 1 to the resultant number, to obtain the third number in
Question : Directions: If + means −, − means ×, × means ÷ and ÷ means +, what will come in place of ? in the following equation? 45 − 3 ÷ 144 × 12 + 38 = ?
Option 1: 123
Option 2: 109
Option 3: 91
Option 4: 95
Correct Answer: 109
Solution : Given: + means −, − means ×, × means ÷ and ÷ means + 45 − 3 ÷ 144 × 12 + 38 = ?
After replacing the symbols according to the instructions the equation becomes – = 45 × 3 + 144 ÷ 12
Question : The average weight of 15 students in a class increases by 1.5 kg when one of the students, who weighs 40 kg, is replaced by a new student. What is the weight in kg of the new student?
Option 1: 64.5 kg
Option 2: 56 kg
Option 3: 60 kg
Option 4: 62.5 kg
Correct Answer: 62.5 kg
Solution : Given: The average weight of 15 students increased by 1.5 kg. A student of 40 kg is replaced by a new student. Let the average weight of each student be w kg. Initially, total weight = 15 × w New weight = 15 ×
Question : The discount on a certain sum of money, due at the end of $2\frac{1}{4}$ years at $2\frac{2}{3}$% p.a. is Rs. 78 find the sum.
Option 1: Rs. 1,278
Option 2: Rs. 1,300
Option 3: Rs. 1,378
Option 4: Rs. 1,400
Correct Answer: Rs. 1,300
Solution : Rate = $2\frac{2}{3}$% Time = $2\frac{1}{4}$ years Interest = Rs. 78 Let the Principal be $x$. Simple Interest = $\frac{\text{Principal × Rate × Time}}{100}$ $⇒78=\frac{x×2\frac{2}{3}×2\frac{1}{4}}{100}$ $⇒78=x×\frac{8}{3}×\frac{9}{4}×\frac{1}{100}$ $\therefore x = 1300$ Hence, the correct answer is Rs. 1,300.
Question : Which of the following nations hosted the 2019 World Rugby Cup?
Option 1: Japan
Option 2: England
Option 3: Australia
Option 4: France
Correct Answer: Japan
Solution : The correct option is Japan.
The 2019 Rugby World Cup was hosted by Japan. It was the first time that the Rugby World Cup was held in Asia, and matches were played at various venues across the country. The tournament took place from September
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