Staff Selection Commission Combined Higher Secondary Level Exam
Question : The product of all the prime numbers between 80 and 90 is:
Option 1: 83
Option 2: 89
Option 3: 7387
Option 4: 183
Correct Answer: 7387
Solution : There are two prime numbers between 80 and 90. The first prime number is 83. The second prime number is 89. Now, 83 × 89 = 7387 Hence, the correct answer is 7387.
Question : Directions: If A stands for ÷, B stands for ×, C stands for + and D stands for –, what will replace the question mark (?) in the following equation? 426 A 3 D 12 C 105 B 1 = (?)
Option 1: 238
Option 2: 237
Option 3: 236
Option 4: 235
Correct Answer: 235
Solution : Given: 426 A 3 D 12 C 105 B 1 = (?)
Here, A stands for ÷, B stands for ×, C stands for + and D stands for –, so the equation will be as follows – 426 ÷ 3 – 12 + 105
Question : Find the third proportion of P and 12, when 8, P, 16, and 18 are in proportion.
Option 1: 16
Option 2: 8
Option 3: 18
Option 4: 12
Correct Answer: 16
Solution : Given, $8, \mathrm{P}, 16$, and 18 are in proportion. So, 8 : $P$ :: 16 : 18 ⇒ $\frac{8}{P}=\frac{16}{18}$ ⇒ $P=9$ Now, third proportional to $a$ and $b$ is given by $\frac{b^2}{a}$, where $a$ = 9, $b$ = 12. So, the third proportional to 9
Question : A star appears twinkling in the sky because of :
Option 1: scattering of light by atmosphere
Option 2: reflection of light by atmosphere
Option 3: refraction of light by atmosphere
Option 4: diffraction of light by atmosphere
Correct Answer: refraction of light by atmosphere
Solution : The correct answer is refraction of light by atmosphere.
Stars appear twinkling in the sky because of refraction of light rays by various layer of atmosphere. Stars are millions of light years away from the earth and they emit their own
Question : Directions: Two positions of a dice are shown below. When the heart shape is at the top what will be at the bottom?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the dice rule, if two positions of the same dice are given with two common faces but in different orientations then out of those two common faces, the faces that are not common are opposite to each other.
Thus, the opposite face of the
Question : The marked price of a trouser is four times the cost price. To earn 64% profit, what should be the discount percentage?
Option 1: 55%
Option 2: 62%
Option 3: 65%
Option 4: 59%
Correct Answer: 59%
Solution : Given, Marked price (MP) of a trouser = 4 × the cost price (CP) ⇒ $\frac{MP}{CP} = \frac{4}{1}$ $\frac{MP}{CP} = \frac{100 + \text{ profit%}}{100 - \text{ Discount%}}$ ⇒ $\frac{4}{1} = \frac{100 + 64}{100 - \text{ Discount%}}$ ⇒ $100 - \text{ Discount%} = \frac{164}{4}$ ⇒ $100
Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: I. All R is P. II. All P is J. Conclusions: I. All P is R. II. All J is P. III. All R is J.
Option 1: Only conclusion II follows
Option 2: Only conclusion I follows
Option 3: All conclusion follows
Option 4: Only conclusion III follows
Correct Answer: Only conclusion III follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All P is R – From the Venn diagram, it is evident that some parts of the circle representing P lie inside
Question : If the length and breadth of a cuboid are increased by 7% and 6%, respectively, then the percentage increase in its volume is:
Option 1: 11.20%
Option 2: 13.42%
Option 3: 18.12%
Option 4: 15.25%
Correct Answer: 13.42%
Solution : Initial length = $l$ New length = $l + 0.07l = 1.07l$ Initial breadth = $b$ New breadth = $b+0.06b = 1.06b$ Initial volume = $v = l\times b\times h$ New volume = $1.07l \times 1.06b \times h = 1.1342 v$ $\therefore$ Percentage increase =
Question : Select the option that can be used as a one-word substitute for the given group of words. One who possesses outstanding technical ability in a particular art or field.
Option 1: Virtuous
Option 2: Virtuoso
Option 3: Gourmand
Option 4: Amateur
Correct Answer: Virtuoso
Solution : The correct choice is the second option.
"Virtuoso" - This word accurately describes one who possesses outstanding technical ability in a particular art or field, especially in music or the fine arts.
The meanings of the other options are as follows:
"Virtuous" - This word
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear
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