Staff Selection Commission Combined Graduate Level Exam
Question : 0.06% of 250% of 1600 is:
Option 1: 24
Option 2: 0.24
Option 3: 0.024
Option 4: 2.4
Correct Answer: 2.4
Solution : Given: 0.06% of 250% of 1600 = $\frac{(1600×250×0.06)}{(100×100)}$ = $\frac{(16×6)}{40}$ = $\frac{24}{10}$ = 2.4 Hence, the correct answer is 2.4.
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.) (144, 9, 3) (225, 7, 8)
Option 1: (168, 5, 8)
Option 2: (64, 5, 3)
Option 3: (81, 6, 2)
Option 4: (120, 7, 4)
Correct Answer: (64, 5, 3)
Solution : Given: (144, 9, 3); (225, 7, 8)
The square of the sum of the second and third numbers is equal to the first number – ⇒ (144, 9, 3)→(9 + 3)2 = 122; 122 = 144 ⇒ (225, 7,
Question : In a bag containing red, green, and blue pens, the ratio of red, blue, and green pens, in the given order, was 7 : 4 : 9. If the total number of pens in the bag was 320, how many of them were red?
Option 1: 112
Option 2: 105
Option 3: 119
Option 4: 126
Correct Answer: 112
Solution : The ratio of red, blue, and green pens = 7 : 4 : 9 Total number of pens = 320 Let the number of red, blue, and green pens be $7x, 4x$, and $9x$ respectively. ⇒ $7x+4x+9x = 320$ ⇒ $20x = 320$ ⇒ $x
Question : Directions: Select the correct combination of mathematical signs to sequentially fill in the symbols and to balance the given equation. 56 * 8 * 4 * 7 * 50 * 15
Option 1: +, =, ÷, ×, +
Option 2: ÷, ×, =, +, +
Option 3: ÷, ×, –, =, ×
Option 4: ÷, ×, +, =, –
Correct Answer: ÷, ×, +, =, –
Solution : Given: 56 * 8 * 4 * 7 * 50 * 15
Let’s check the options – First option: +, =, ÷, ×, + ⇒ 56 + 8 = 4 ÷ 7 × 50 + 15 L.H.S. = 56 + 8
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. YO_LECT_OPL_C_YOP_ _CTYOPLE_T
Option 1: PEYTELC
Option 2: PYETLEC
Option 3: PYECTLE
Option 4: PEYTLCE
Correct Answer: PYETLEC
Solution : Given: YO_LECT_OPL_C_YOP__CTYOPLE_T
To fill the series we have to divide the series – YO_LECT / _OPL_C_ / YOP__CT / YOPLE_T
Let's check each option – First option: PEYTELC; YOPLECT / EOPLYCT/ YOPELCT / YOPLECT
Question : Select the most appropriate ANTONYM of the underlined word. The WHO issued a statement on Sunday morning that though the Omicron variant of coronavirus may appear to be less severe, it should not be dismissed as 'mild'.
Option 1: Withered
Option 2: Sick
Option 3: Gentle
Option 4: Voracious
Correct Answer: Gentle
Solution : The correct choice is the third option.
The meaning of "severe" is something bad or undesirable with great intensity. And the meaning of "gentle" is having or showing a mild, kind, or tender temperament or character. Both words have opposite meanings.
The meanings of
Question : Which of the following acts introduced separate electorates (communal representation) for Muslims?
Option 1: Act of 1892
Option 2: Act of 1909
Option 3: Reforms of 1919
Option 4: Government of India Act of 1935
Correct Answer: Act of 1909
Solution : The correct answer is the Act of 1909.
The communal electorate was first established by the Indian Council Act of 1909, also known as the Morley-Minto Reforms. By dividing the populace along communal lines, this was meant to halt the rising tide
Question : The monthly expenses of a person are $66 \frac{2}{3} \%$ more than her monthly savings. If her monthly income increases by 44% and her monthly expenses increase by 60%, then there is an increase of INR 1,040 in her monthly savings. What is the initial expenditure (in INR)?
Option 1: 10,000
Option 2: 12,000
Option 3: 13,000
Option 4: 9,000
Correct Answer: 10,000
Solution : The monthly expenses is $66\frac{2}{3}$% more than her monthly savings. $66\frac{2}{3}\% = \frac{2}{3}$ So, The monthly expenses = The monthly savings + (The monthly saving) × $\frac{2}{3}$ The monthly expenses = (The monthly saving) × $\frac{5}{3}$ Let the monthly saving = $3x$ and the monthly
Question : A solid copper sphere of radius 9 cm is hammered and moulded into a wire of radius 2 cm. What is the length of this wire?
Option 1: 224 cm
Option 2: 183 cm
Option 3: 198 cm
Option 4: 243 cm
Correct Answer: 243 cm
Solution : Radius of sphere, $r_1$ = 9 cm Radius of wire, $r_2$ = 2 cm Let the length of the wire be $h$. Volume of sphere = $\frac{4}{3} \pi r_1^3$ Volume of cylindrical wire = $\pi r_2^2 h$ Now, volume of sphere = volume of
Question : Numbers divisible by 9 between 43 and 481 are:
Option 1: 51
Option 2: 49
Option 3: 48
Option 4: 50
Correct Answer: 49
Solution : When 481 is divided by 9, the quotient is 53. When 43 is divided by 9, the quotient is 4. So, the numbers divisible by 9 between 43 and 481 = (53 – 4) = 49 Hence, the correct answer is 49.
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