Staff Selection Commission Combined Graduate Level Exam
Question : If the seven-digit number 52A6B7C is divisible by 33, and A, B, and C are primes, then the maximum value of 2A + 3B + C is:
Option 1: 32
Option 2: 23
Option 3: 27
Option 4: 34
Correct Answer: 23
Solution : 5 + 2 + A + 6 + B + 7 + C = 20 + A + B + C Possible values of (A + B + C) = 1, 4, 7, 10, 13, 16, 19, 22, 25 Again, 5 + A + B
Question : Direction: Study the bar graph given below, which shows the percent distribution of total expenditures of a company under various expenses, and answer the question.
If the interest on loans amounted to INR 2.45 crores, then the total amount of expenditure on advertisement, taxes, and research and development is:
Option 1: INR 7 crores
Option 2: INR 4.2 crores
Option 3: INR 5.4 crores
Option 4: INR 3 crores
Correct Answer: INR 4.2 crores
Solution : Let the total expenditure be INR $100x$. According to the question, Interest on Loans = 17.5% $\frac{17.5}{100} \times 100x = 24500000$ $⇒17.5x=24500000$ $⇒x=1400000$ Total expenditure = 14,00,00,000 Expenditure on advertisement = 15% Expenditure on taxes = 10% Expenditure on research = 5% Total
Question : Directions: In this question, some equations are solved based on a certain system. On the same basis, find out the correct answer out of the four alternatives for the unsolved equation. If 6 × 2 × 9 = 269, 8 × 7 × 1 = 781, then 4 × 1 × 3 = ?
Option 1: 431
Option 2: 413
Option 3: 341
Option 4: 143
Correct Answer: 143
Solution : Given: 6 × 2 × 9 = 269; 8 × 7 × 1 = 781
The third number remains at the third position while the first and second numbers swap positions. Like, 6 × 2 × 9 = 269 And, 8 × 7 × 1
Question : What is the ratio of the mean proportional between 1.6 and 3.6 and the third proportional of 5 and 8?
Option 1: 2 : 15
Option 2: 5 : 16
Option 3: 3 : 16
Option 4: 4 : 15
Correct Answer: 3 : 16
Solution : Mean proportion of 1.6 and 3.6 $=\sqrt{ab}=\sqrt{1.6\times 3.6}=2.4$ Now, the third proportion of 5 and 8 $=\frac{b^2}{a}=\frac{8^2}{5}=\frac{64}{5}$ $\therefore$ Ratio of mean proportion to third proportion = $2.4:\frac{64}{5}$ = 12 : 64 = 3 : 16 Hence, the correct answer is 3 : 16.
Question : Directions: In this question, three statements are given, followed by two conclusions. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements. Statements: I. No streak is a line. II. Some lines are bonds. III. All bonds are flashes. Conclusions: I. Some flashes are streaks. II. No flash is a line.
Option 1: Only conclusion I follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion II follows
Option 4: Neither conclusion I nor II follows
Correct Answer: Neither conclusion I nor II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: Some flashes are streaks – From the above diagram, it can be seen that there is no direct relation between
Question : Select the most appropriate one-word substitution for the given words.
A group of lions
Option 1: Herd
Option 2: Pack
Option 3: Pride
Option 4: Colony
Correct Answer: Pride
Solution : The correct choice is the third option.
In this context, pride refers to a social group of lions. This term is specific to lions and reflects their social structure.
The meanings of the other options are as follows:
Question : The term ' Macro Economics ' was used by____________.
Option 1: J.M. Keynes
Option 2: Ragnar Frisch
Option 3: Ragnar Nurkse
Option 4: Prof.Knight
Correct Answer: Ragnar Frisch
Solution : The correct option is Ragnar Frisch
Norwegian economist Ragnar Frisch initially used the terms microeconomics and macroeconomics in 1933. Macroeconomics looks at the economy as a whole. To characterise his research, which used statistical methods to examine economic systems, he coined the term econometrics
Question : Directions: In this question, some equations are solved on the same basis as a certain system. On the same basis, find out the correct answer out of the four alternatives for the unsolved equation. If, 64 + 7 = 460 and 25 + 8 = 212, then 43 + 8 = ?
Option 1: 360
Option 2: 376
Option 3: 332
Option 4: 356
Correct Answer: 356
Solution : Given: 64 + 7 = 460 and 25 + 8 = 212
Like, 64 + 7 = 460→(64 × 7) + 12 = 448 + 12 = 460 And, 25 + 8 = 212→(25 × 8) + 12 = 200 + 12 = 212 Similarly,
Question : Three years ago, Raman’s salary was INR 45,000. His salary is increased by 10 percent, A percent and 20 percent in the first, second and third year respectively. Raman's present salary is INR 83,160. What is the value of A?
Option 1: 50
Option 2: 30
Option 3: 54
Option 4: 40
Correct Answer: 40
Solution : Given: Three years ago, Raman’s salary was INR 45,000. According to the question, 45000 × (100 + 10)% × (100 + A)% × (100 + 20)% = 83160 ⇒ 45000 × $\frac{11}{10}$ × (100 + A)% × $\frac{6}{5}$ = 83160 ⇒ (100 + A)% =
Question : If $\sec \theta+\tan \theta=3$, then the value of $\sec \theta$ is:
Option 1: $\frac{4}{3}$
Option 2: $\frac{3}{4}$
Option 3: $\frac{3}{5}$
Option 4: $\frac{5}{3}$
Correct Answer: $\frac{5}{3}$
Solution : Given: The value of the trigonometric equation is $\sec \theta+\tan \theta=3$. We know that if $\sec \theta+\tan \theta=x$. Then, $\sec \theta–\tan \theta=\frac{1}{x}$. $\sec \theta+\tan \theta=3$ (equation 1) ⇒ $\sec \theta–\tan \theta=\frac{1}{3}$ (equation 2) Adding equation 1 and equation 2, $\sec \theta+\tan \theta+\sec \theta–\tan \theta=3+\frac{1}{3}$ ⇒
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