Staff Selection Commission Combined Graduate Level Exam
Question : The difference between Simple and Compound Interest (compounded annually) on Rs. 40,000 for 3 years at 8% per annum is:
Option 1: Rs. 684.32
Option 2: Rs. 788.48
Option 3: Rs. 784.58
Option 4: Rs. 4,000
Correct Answer: Rs. 788.48
Solution : The formula for the difference between Compound Interest(CI) and Simple Interest(SI) for 3 years is given by: $CI-SI=\frac{PR^{2}(300+R)}{100^{3}}$, where $P$ is principal and $R$ is rate of interest per annum compounded annually. ⇒ $CI-SI=\frac{40000\times8^{2}\times(300+8)}{100^{3}}$ ⇒ $CI-SI=\frac{788480000}{1000000}$ $\therefore CI-SI=788.48$ Hence, the correct answer is Rs.
Question : Directions: Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term. 17 : 4607 :: 11 : ? :: 23 : 11615
Option 1: 1440
Option 2: 1572
Option 3: 1463
Option 4: 1199
Correct Answer: 1199
Solution : Given: 17 : 4607 :: 11 : ? :: 23 : 11615
The pattern is as follows – 4607 ÷ 17 = 271; The sum of the digits is 2 + 7 + 1 = 10 11615 ÷ 23 = 505; The sum of the
Question : The difference between the cost price and the selling price of a pair of shoes is Rs. 1,200. If the profit is 15%, the selling price is:
Option 1: Rs. 8,200
Option 2: Rs. 9,200
Option 3: Rs. 8,000
Option 4: Rs. 9,000
Correct Answer: Rs. 9,200
Solution : Given: The difference between the cost price and selling price = Rs. 1200 The difference in percentage between the cost price and selling price = 15% $\because$ Both the differences are equal. Thus, $\frac{15}{100}$ of the cost price = 1200 $\therefore$ The cost price
Question : Sink hole is a phenomenon of ____topography.
Option 1: Plain
Option 2: Dessert
Option 3: Tundra
Option 4: Karst
Correct Answer: Karst
Solution : The correct option is - Karst.
The most fundamental feature of karst topography is thought to be the sinkhole. Where limestone, carbonate rock, salt beds, or other rocks that can naturally be dissolved by groundwater passing through them are present beneath the surface of the
Question : The table given below shows the number of players participating in two games in six different schools.
The number of players participating in game L from schools D and E is how much percent less than the number of players participating in game M from schools H and I?
Option 1: 22.68%
Option 2: 32.52%
Option 3: 26.22%
Option 4: 43.53%
Correct Answer: 22.68%
Solution : The number of players participating in game L from schools D and E = 82 + 68 = 150 The number of players participating in game M from schools H and I = 86 + 108 = 194 The number of players participating in game
Question : Select the most appropriate option to fill in the blank.
'Habitual' may be replaced by '_ '
Option 1: Stagnant
Option 2: Continual
Option 3: Temperate
Option 4: Holistic
Correct Answer: Continual
Solution : The correct answer is the second option.
It is a suitable replacement for "habitual" because both words convey the idea of something that happens repeatedly or regularly. Habitual refers to behaviours or actions that are done as a matter of habit or custom, and continual
Question : What is the percentage composition of the element of H2SO3?
Option 1: 2.5% of H, 58.5% of S, 39% of O
Option 2: 33% of H, 16% of S, 51% of O
Option 3: 58.5% of H, 39% of S, 2.5% of O
Option 4: 2.5% of H, 39% of S, 58.5% of O
Correct Answer: 2.5% of H, 39% of S, 58.5% of O
Solution : The correct option is 2.5% H, 39% S, 58.5% O.
Molar mass of H2SO3 = (2 x 1 g/mol) + (1 x 32 g/mol) + (3 x 16 g/mol) = 82 g/mol.
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? ?, 11, 35, 107, 323
Option 1: 4
Option 2: 5
Option 3: 8
Option 4: 3
Correct Answer: 3
Solution : Given: ?, 11, 35, 107, 323
Here, the pattern is as follows – (11 × 3) + 2 = 33 + 2 = 35; (35 × 3) + 2 = 105 + 2 = 107; (107 × 3) + 2 = 321 + 2 =
Question : Select the appropriate adverb for the underlined word in the sentence.
He led me to the room that had obvious been built later than the rest of the house.
Option 1: Obliviously
Option 2: Obliviousness
Option 3: Obviousness
Option 4: Obviously
Correct Answer: Obviously
Solution : The correct choice is the fourth option.
Obviously is an adverb of manner. It means something is really apparent and easily understood. In this context, it helps convey that the other person led the speaker to the room that was built later than the
Question : A 9-digit number $846523X7Y$ is divisible by 9 and $Y - X = 6$. Find the value of $\sqrt{2X+4Y}$.
Option 2: 2
Option 3: 6
Option 4: 8
Correct Answer: 6
Solution : Given number = $846523X7Y$ Sum of digits = $35+X+Y$ Maximum value of $35+ X+Y = 35+18=53$ Minimum value of $35+X+Y = 35$ For a number to be divisible by 9, the sum of digits of the number should be divisible by 9. So, the sum
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