Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In this question, a sentence is given with a blank to be filled in with appropriate words. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
Students of St. Xavier’s ____ all the prizes.
Option 1: Bear of
Option 2: Bore away
Option 3: Bore on
Option 4: Bear on
Correct Answer: Bore away
Solution : The correct phrase to fill in the blank is the second option.
Bore away is a phrasal verb that means to win or carry off something, such as a prize, in a competition. It accurately conveys that the students won the prizes.
The meanings
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.) (7, 65) (11, 145)
Option 1: (15, 140)
Option 2: (8, 82)
Option 3: (12, 168)
Option 4: (9, 70)
Correct Answer: (8, 82)
Solution : Given: (7, 65); (11, 145)
The pattern is as follows – (7, 65)→(7 + 1)2 + 1 = (8)2 + 1 = 64 + 1 = 65 (11, 145)→(11 + 1)2 + 1 = (12)2 + 1 = 144 +
Question : Which of the following is a Dominant Autosomal Disorder?
Option 1: Albinism
Option 2: Cystic Fibrosis
Option 3: Phenyl Ketonuria
Option 4: Alzheimer's Disease
Correct Answer: Alzheimer's Disease
Solution : The correct option is Alzheimer's Disease.
Alzheimer's disease is a multifactorial neurodegenerative condition caused by a mixture of genetic, environmental, and physiological factors. In a dominant inheritance pattern, mutations in particular genes, including as the APP, PSEN1, and PSEN2 genes, can increase the likelihood
Question : If $a: b: c=\frac{1}{4}: \frac{1}{3}: \frac{1}{2}$, then $\frac{a}{b}: \frac{b}{c}: \frac{c}{a}=$?
Option 1: 12 : 9 : 8
Option 2: 9 : 8 : 24
Option 3: 8 : 9 : 24
Option 4: 9 : 12 : 8
Correct Answer: 9 : 8 : 24
Solution : According to the question ⇒ $a: b: c=\frac{1}{4}: \frac{1}{3}: \frac{1}{2}$ ⇒ $a: b: c=\frac{3}{12}: \frac{4}{12}: \frac{6}{12}=3: 4: 6$ Now, ⇒ $\frac{a}{b}$ = $\frac{3}{4}$, $\frac{b}{c}$ = $\frac{2}{3}$, and $\frac{c}{a}$ = $\frac{2}{1}$ So, $\frac{a}{b}$ : $\frac{b}{c}$ : $\frac{c}{a}$ = $\frac{3}{4}$ : $\frac{2}{3}$ :
Question : If a 10-digit number 75462A97B6 is divisible by 72, then the value of $\sqrt{8 A-4 B}$ is:
Option 1: $\sqrt{30}$
Option 2: $\sqrt{27}$
Option 3: $\sqrt{21}$
Option 4: $\sqrt{28}$
Correct Answer: $\sqrt{28}$
Solution : A number is divisible by 72 if and only if it is divisible by both 8 and 9 (since 72 is the product of 8 and 9, and 8 and 9 are coprime). 1. For a number to be divisible by 8, its last three
Question : Select the most appropriate ANTONYM of the given word in the following sentence.
Traitor
People should vote for honest and loyal leaders not for betrayer and defender.
Option 1: Honest
Option 2: Defender
Option 3: Betrayer
Option 4: Loyal
Correct Answer: Loyal
Solution : The correct choice is the fourth option.
A traitor betrays trust, while a loyal person is faithful and supportive.
The meanings of the other options are as follows:
Honest: Honest is a quality, which means someone who does not lie
Defender: This is not
Question : If $(x+y):(x-y)=11:1$, find the value of $(\frac{5x+3y}{x-2y})$.
Option 1: $\frac{45}{4}$
Option 2: $\frac{4}{45}$
Option 3: $-\frac{45}{4}$
Option 4: $-\frac{4}{45}$
Correct Answer: $-\frac{45}{4}$
Solution : Given: $(x+y):(x-y)=11:1$ $\frac{(x+y)}{(x-y)}=\frac{11}{1}$ $⇒(x+y)=(11x-11y)$ $⇒12y=10x$ $⇒y=\frac{10x}{12}$ $⇒y=\frac{5x}{6}$ So, putting the value of $y$ in $(\frac{5x+3y}{x–2y})$, we get, $=(\frac{5x+3×\frac{5x}{6}}{x–2×\frac{5x}{6}})$ $=(\frac{5x+\frac{5x}{2}}{x–\frac{5x}{3}})$ $=\frac{(\frac{15x}{2})}{(\frac{–2x}{3})}$ $=\frac{15x}{2}×\frac{3}{–2x}$ $=-\frac{45}{4}$ Hence, the correct answer is $-\frac{45}{4}$.
Question : If $(a+1)^2+(a+2)^2=16$, then what is the value of $40+12 a+4 a^2 ?$
Option 1: 56
Option 2: 62
Option 3: 74
Option 4: 52
Correct Answer: 62
Solution : Given: $(a+1)^2+(a+2)^2=16$ ⇒ $a^2+2a+1+a^2+4a+4 = 16$ ⇒ $2a^2+6a=11$ -------------(i) Now, $40+12 a+4 a^2$ = $40+2(2a^2+6a)$ = $40+22$ = 62 Hence, the correct answer is 62.
Question : Directions: If + means subtraction; – means multiplication; ÷ means addition; and × means division; what is the following expression's value? 11 – 14 + 9 × 3 ÷ 104
Option 1: 269
Option 2: 255
Option 3: 245
Option 4: 271
Correct Answer: 255
Solution : Given: + means subtraction; – means multiplication; ÷ means addition; and × means division. 11 – 14 + 9 × 3 ÷ 104
On replacing the mathematical signs as directed, we get – = 11 × 14 – 9 ÷ 3 + 104 = 11
Question : In August 2022, the "SMILE-75 Initiative" was launched by the Ministry of Social Justice and Empowerment. What is the objective of this scheme?
Option 1: To provide education and training to the weaker sections of the society
Option 2: To improve immunisation coverage for children and pregnant women in India
Option 3: To accelerate the development of biopharmaceuticals
Option 4: To make our cities/towns and municipal areas begging-free
Correct Answer: To make our cities/towns and municipal areas begging-free
Solution : The correct answer is to make our cities/towns and municipal areas begging-free.
The "SMILE-75 initiative" was launched by the Ministry of Social Justice and Empowerment. SMILE stands for Support for Marginalised Individuals for Livelihood and Enterprise. A budget
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