Staff Selection Commission Combined Graduate Level Exam
Question : If $a, b$ and $c$ are positive numbers such that $(a^2+b^2):(b^2+c^2):(c^2+a^2)=34:61:45$, then $b - a : c - b : c - a$ = _______.
Option 1: 3 : 2 : 1
Option 2: 2 : 1 : 3
Option 3: 3 : 1 : 2
Option 4: 1 : 2 : 3
Correct Answer: 2 : 1 : 3
Solution : Given that $(a^2+b^2):(b^2+c^2):(c^2+a^2)=34:61:45$ 1. $a^2 + b^2 = 34k$ (for some constant $k$) 2. $b^2 + c^2 = 61k$ 3. $c^2 + a^2 = 45k$ Adding these three equations, we get, $⇒2(a^2 + b^2 + c^2) = 140k$ $\therefore a^2 +
Question : Directions: Select the option that represents the letters that, when sequentially placed from left to right in the blanks below, will complete the letter series. PRKY_LDP_ _YOLD_RKYO_DPRK_ _LD
Option 1: ORKLPOD
Option 2: ORPKYLP
Option 3: ORPLKYO
Option 4: ORKPLYO
Correct Answer: ORKPLYO
Solution : Given: PRKY_LDP_ _YOLD_RKYO_DPRK_ _LD
To fill the series we have to divide the series – PRKY_LD / P_ _YOLD / _RKYO_D / PRK_ _LD
Let's check each option – First option: ORKLPOD; PRKYOLD / PRKYOLD / LRKYOPD
Question : Directions: Study the following graph which shows the production (in thousands) of different items and answer the question.
The difference between the total number of CDs and pen drives produced by the company together in the year 2008 and the number of keyboards produced by the company in the year 2006 is:
Option 1: 3,500
Option 2: 35,000
Option 3: 4,000
Option 4: 40,000
Correct Answer: 40,000
Solution : The total number of CDs and pen drives produced by the company together in the year 2008 = (25000 + 30000) = 55,000 The number of keyboards produced by the company in the year 2006 = 15,000 So, the difference = (55000 – 15000) =
Question : Select the most appropriate one-word substitution for the given words. A partner in crime
Option 1: Alibi
Option 2: Amateur
Option 3: Agent
Option 4: Accomplice
Correct Answer: Accomplice
Solution : The fourth option is the correct choice.
Accomplice refers to a person who helps another commit a crime.
The meanings of the other options are:
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (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.) (5 : 25 : 30) (16 : 256 : 272)
Option 1: (15 : 225 : 230)
Option 2: (9 : 81 : 109)
Option 3: (19 : 361 : 381)
Option 4: (13 : 169 : 182)
Correct Answer: (13 : 169 : 182)
Solution : Given: (5 : 25 : 30); (16 : 256 : 272)
Here, (5)2 = 25; 5 + 25 = 30 (16)2 = 256; 16 + 256 = 272
Let's check the options – First option: (15 : 225 :
Question : Which of the following statements is/are correct regarding changes to the Atal Pension Yojana Scheme (APY) done in 2022? A. According to the new criteria, any citizen who is or has been an income taxpayer shall not be eligible to join APY after 1 October 2022. B. Subscribers would receive the guaranteed minimum monthly pension of INR 1,000, INR 2,000, INR 3,000, INR 4,000 or INR 5,000 at the age of 80 years. C. As per the new rules, subscribers can make contributions to APY monthly only.
Option 1: B and C only
Option 2: A, B and C
Option 3: A and C only
Option 4: A only
Correct Answer: A only
Solution : The correct answer is A only.
Atal Pension Yojana is a social security scheme to provide social security to citizens, especially to those who are not a part of any pension plan or income tax payee. It provides a minimum guaranteed pension ranging from
Question : The disease in which the sugar level of blood increases is known as
Option 1: Diabetes mellitus
Option 2: Diabetes insipidus
Option 3: Diabetes imperfectus
Option 4: Diabetes sugarensis
Correct Answer: Diabetes mellitus
Solution : The correct option is Diabetes mellitus.
Diabetes mellitus, sometimes known as diabetes, is a collection of metabolic diseases characterised by increased blood sugar (glucose) levels. This happens when the body either does not create enough insulin (a hormone that regulates blood sugar) or does
Question : The sum of three positive numbers is 18 and their product is 162. If the sum of two numbers is equal to the third number, then the sum of the squares of the numbers is:
Option 1: 120
Option 2: 126
Option 3: 132
Option 4: 138
Correct Answer: 126
Solution : Let three numbers be $a, b$ and $c$. Given: $a + b + c = 18, a + b = c$ and $abc = 162$ Put $a + b = c$ in $a + b + c = 18$ $2c = 18$ ⇒ $c =
Question : Select the most appropriate indirect form of the given sentence.
Anne said, “Next week I have my first skating lesson.”
Option 1: Anne said that in the following week she had her first skating lesson.
Option 2: Anne said that in the next week she has her first skating lesson.
Option 3: Anne said that the following week I had my first skating lesson.
Option 4: Anne said that the next week I have my first skating lesson.
Correct Answer: Anne said that in the following week she had her first skating lesson.
Solution : The first option is correct.
Question : Direction: In the given question, select the related letter from the given alternatives.
FILM : ADGH :: MILK : ?
Option 1: HDGE
Option 2: HDGF
Option 3: HEGF
Option 4: ADGF
Correct Answer: HDGF
Solution : Given:
In the first pair,
FILM → F + 3 = I ; I + 3 = L ; L + 1 = M
Similarly, ADGH → A + 3 = D ; D + 3 = G
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