Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: FK19 is related to GM22 in a certain way. In the same way, QB13 is related to RD16. To which of the following is NH16 related following the same logic?
Option 1: OI20
Option 2: OJ19
Option 3: PI21
Option 4: PJ19
Correct Answer: OJ19
Solution : Given: FK19 is related to GM22 and QB13 is related to RD16.
Here, add 1 and 2 to the place values of the letters and add 3 to the numbers of the given terms to get its related term. Like, FK19 is related to GM22→F
Question : The average age of Rustam and Preetam is 30 years. The average age of Preetam and Geetam is 20 years. The average age of Rustam and Geetam is 26 years. What will be the age of the youngest of the three after 5 years?
Option 1: 21 years
Option 2: 22 years
Option 3: 26 years
Option 4: 25 years
Correct Answer: 21 years
Solution : The average age of Rustam and Preetam = 30 years Use the formula to find the average, Average = $\frac{\text{Sum of the ages}}{{\text{Total number of Person}}}$ The sum of their ages = Average × Total number of Person = 2 × 30 = 60
Question : After allowing a discount of 12.5% on the marked price, an article is sold for INR 2,625. Find its marked price.
Option 1: INR 2,975
Option 2: INR 2,900
Option 3: INR 2,950
Option 4: INR 3,000
Correct Answer: INR 3,000
Solution : Given, Discount = 12.5% and Selling price = 2625 Selling price = $\frac{100-\text{Discount}\%}{100}×\text{Marked price}$ ⇒ $2625 = \frac{100-12.5}{100}×\text{Marked price}$ $\therefore$ Marked price $=\frac{100×2625}{87.5}=3000$ Hence, the correct answer is INR 3,000.
Question : Directions: Pointing to a photograph of a lady, Vishal says "She is the sister-in-law of my grandfather's (paternal) daughter". How is the lady in the photograph related to Vishal?
Option 1: Mother
Option 2: Aunt
Option 3: Sister
Option 4: Cannot be determined
Correct Answer: Cannot be determined
Solution : The family tree is as follows – Here, the quadrilateral represents the male, and the circular figure represents the female in the figure. The above family tree shows two possibilities where in one, the lady can be the mother of Vishal, and in
Question : Which of the following is a value of $\theta$, when $\cos ^2 \theta-2+\cos \theta=0$?
Option 1: 60°
Option 2: 90°
Option 3: 30°
Option 4: 0°
Correct Answer: 0°
Solution : Given, $\cos ^2 \theta-2+\cos \theta=0$ ⇒ $\cos ^2 \theta+2\cos \theta-\cos\theta-2=0$ ⇒ $\cos \theta(\cos \theta+2)-1(\cos \theta+2)=0$ ⇒ $(\cos \theta+2)(cos \theta-1)=0$ ⇒ $\cos \theta=-2$ or $\cos \theta=1$ Since the range of $\cos\theta$ is –1 < $\cos \theta$ < 1 Hence, $\cos\theta$ cannot be –2. So, $\cos \theta=1⇒\theta=
Question : Directions: Nymph is related to Cockroach in the same way as Tadpole is related to ____.
Option 1: Insect
Option 2: Cow
Option 3: Bird
Option 4: Frog
Correct Answer: Frog
Solution : Given: Nymph is related to Cockroach.
Like, Nymph is the early stage of the lifecycle of a cockroach. Similarly, Tadpole is the early stage of the lifecycle of a Frog.
Hence, the fourth option is correct.
Question : A merchant increases the cost price of an item by 30% and offers a discount of 15% on this marked price. What is his profit percentage?
Option 1: 10.5%
Option 2: 8.2%
Option 3: 9.5%
Option 4: 11.4%
Correct Answer: 10.5%
Solution : Let the cost price of goods be Rs.100 ⇒ Marked price of goods $= 100 × \frac{130}{100} = \mathrm{Rs.}\ 130$ ⇒ Selling price of goods $= 130 × \frac{100 - 15}{100} = \mathrm{Rs.}\ 110.5$ ⇒ Profit % $= \frac{110.5 - 100}{100}×100 = 10.5\%$ Hence, the
Question : The average weight of 64 students is 48 kg and the average weight of another class of 32 students is 24 kg. Find the average weight of both classes combined.
Option 1: 34 kg
Option 2: 36 kg
Option 3: 40 kg
Option 4: 32 kg
Correct Answer: 40 kg
Solution : The total weight of 64 students with an average weight of 48 kg = 64 × 48 = 3072 kg The total weight of 32 students with an average weight of 24 kg = 32 × 24 = 768 kg The total weight of
Question : Directions: In the following question, find the odd number from the given alternatives.
Option 1: 306
Option 2: 270
Option 3: 132
Option 4: 240
Correct Answer: 270
Solution : Let's check the options – First option: 306→(17)2 + 17 = 289 + 17 = 306 Second option: 270→No such relation can be deduced. Third option: 132→(11)2 + 11 = 121 + 11 = 132 Fourth option: 240→(15)2 + 15 = 225
Question : First Indian to score a triple century in Test Cricket
Option 1: Sachin Tendulkar
Option 2: Virender Sehwag
Option 3: Sourav Ganguly
Option 4: MS Dhoni
Correct Answer: Virender Sehwag
Solution : The correct option is Virender Sehwag.
Virender Sehwag became the first Indian cricketer to record a triple century in a test match, the game's format, on March 29, 2004. The other Indian cricketer to achieve this feat is Karun Nair.
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