Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: 11 is related to 1210 following a certain logic. Following the same logic, 13 is related to 1690. To which of the following is 17 related, following the same logic?
Option 1: 2690
Option 2: 2990
Option 3: 2790
Option 4: 2890
Correct Answer: 2890
Solution : Given: 11 is related to 1210 and 13 is related to 1690.
Ten times the square of the first number equals the second number. Like, 11 is related to 1210→112 = 121, 121 × 10 = 1210 And, 13 is related to 1690→132
Question : The radius of curvature of a charged particle's passage in a homogeneous magnetic field is proportional to:
Option 1: energy of particle
Option 2: charge of particle
Option 3: momentum of a particle
Option 4: strength of the field
Correct Answer: momentum of a particle
Solution : The correct option is the momentum of a particle.
The radius of curvature (R) of a charged particle's path in a homogeneous magnetic field is proportional to the momentum (p) of the particle and inversely proportional to the charge (q) and
Question : _______ is the largest producer of bauxite in the world.
Option 1: India
Option 2: United States of America
Option 3: Australia
Option 4: China
Correct Answer: Australia
Solution : The correct answer is Australia.
Since the early 1960s, Australia has been a significant global economic participant in the bauxite mining industry. With 31% of the world's bauxite production coming from there in 2016, it is the world's greatest producer. Australia accounts for 17% of
Question : In $\triangle {PQR}, {PN}$ is the median on ${QR}$. If ${PN}={QN}$, then what is the value of $\angle {QPR}$?
Option 1: $90^\circ$
Option 2: $80^\circ$
Option 3: $60^\circ$
Option 4: $75^\circ$
Correct Answer: $90^\circ$
Solution : In $\triangle PQR$, PN is the median. So, QN = NR and PN = QN (given) In $\triangle PQN$ PN = QN Let $\angle QPN=\angle NQP = \theta$ Similarly, In $\triangle PNR$ PN = NR Let $\angle NPR = \angle NRP = \alpha$ $\therefore QPR=\theta
Question : Dr. P. Rama Rao's committee is related to which of the following?
Option 1: Taxes
Option 2: Defence
Option 3: Industry
Option 4: Agriculture
Correct Answer: Defence
Solution : The correct option is Defence.
P. Rama Rao committee was set up in 2007 and the committee submitted its report a year after. The head of the committee was Dr P. Rama Rao, who was the former secretary of the Department of Science and
Question : A tailor buys lining clothes from a wholesale merchant and cheats him by using a measurement tape that is 5 cm longer than the normal tape. The tailor offers the customers at cost price while stitching different garments and uses measurement tape which is 5 cm shorter than the normal tape. The gain percent is:
Option 1: $15$%
Option 2: $10 \frac{10}{25}$%
Option 3: $10$%
Option 4: $10 \frac{10}{19}$%
Correct Answer: $10 \frac{10}{19}$%
Solution : Let the actual cost of 1 m cloth be $x$ The false cost price of 1.05 m cloth = $x$ So, the false cost price of 1 m cloth = Rs. $\frac{x}{1.05}$ The actual selling price of 1 m cloth = Rs. $x$ The
Question : The Pension Fund Regulatory and Development Authority (PFRDA) amended the 2015 PFRDA Regulation to increase the age limit for the Ombudsman from 65 to_____ years.
Option 1: 77
Option 2: 80
Option 3: 70
Option 4: 90
Correct Answer: 70
Solution : The correct answer is 70.
The Pension Fund Regulatory and Development Authority (PFRDA) amended the 2015 PFRDA Regulation to increase the age limit for the Ombudsman from 65 to 70 years. The amendment was made through the Pension Fund Regulatory and Development Authority
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Nainital has a 1. _____lake. Tourists come from far and wide to 2. _____ boating here. There is a skating place behind it. People who skate here say that the ride seems to go around with them. Evenings are also pleasant here. The 3. _____ of the electric lights look as if they are dancing in the ripples of the lake. Truly, Nainital is an 4. _____city of 5. _____beauty. Question: Select the most appropriate option for blank 5.
Option 1: logical
Option 2: natural
Option 3: synthetic
Option 4: chronic
Correct Answer: natural
Solution : The correct choice is the second option.
The passage describes the beauty of Nainital, highlighting its natural charm. Natural refers to something that exists in nature or is produced by nature, not artificial or man-made.
The meanings of the other options are as follows:
Question : What is the third proportion of $2 \sqrt{3}$ and $6 \sqrt{5}$?
Option 1: $50 \sqrt{6}$
Option 2: $40 \sqrt{3}$
Option 3: $20 \sqrt{6}$
Option 4: $30 \sqrt{3}$
Correct Answer: $30 \sqrt{3}$
Solution : Let the third proportion be $x$. $2 \sqrt{3}:6 \sqrt{5}::6 \sqrt{5}:x$ ⇒ $\frac{2 \sqrt{3}}{6 \sqrt{5}}=\frac{6 \sqrt{5}}{x}$ ⇒ $x=\frac{180}{2 \sqrt{3}}$ $\therefore x=30 \sqrt{3}$ Hence, the correct answer is $30 \sqrt{3}$.
Question : The simple interest accrued on a certain principal is Rs. 1200 in 3 years at 8% per annum. What would be the compound interest (compounding annually) accrued on twice that principal at 10% per annum in 2 years?
Option 1: Rs. 1,050
Option 2: Rs. 2,150
Option 3: Rs. 2,100
Option 4: Rs. 1,100
Correct Answer: Rs. 2,100
Solution : Let the principal be Rs. $x$. Time = 3 years Rate = 8% per annum Simple interest after T years = $\frac{\text{Principal × Rate × Time}}{100}$ $⇒1200 = \frac{x \times 8 \times 3}{100}$ $\therefore x = 5000$ Now Principal, $P$ = Rs. 5000 ×
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