Staff Selection Commission Combined Graduate Level Exam
Question : Who was the last king of the Shunga dynasty?
Option 1: Pushyamitra
Option 2: Bhavabhuti
Option 3: Shashanka
Option 4: Devabhuti
Correct Answer: Devabhuti
Solution : The correct answer is Devabhuti.
Devabhuti was the final monarch of ancient India's Shunga Empire. Vasudeva Kanva, his minister, killed him. Following his demise, the Shunga dynasty was succeeded by the Kanvas.
Question : The value of $\frac{3\left(\operatorname{cosec}^2 26^{\circ}-\tan ^2 64^{\circ}\right)+\left(\cot ^2 42^{\circ}-\sec ^2 48^{\circ}\right)}{\cot \left(22^{\circ}-\theta\right)-\operatorname{cosec}^2\left(62^{\circ}+\theta\right)-\tan \left(\theta+68^{\circ}\right)+\tan ^2\left(28^{\circ}-\theta\right)}$ is:
Option 1: 3
Option 2: 4
Option 3: –1
Option 4: –2
Correct Answer: –2
Solution : $\frac{3\left(\operatorname{cosec}^2 26^{\circ}-\tan ^2 64^{\circ}\right)+\left(\cot ^2 42^{\circ}-\sec ^2 48^{\circ}\right)}{\cot \left(22^{\circ}-\theta\right)-\operatorname{cosec}^2\left(62^{\circ}+\theta\right)-\tan \left(\theta+68^{\circ}\right)+\tan ^2\left(28^{\circ}-\theta\right)}$ $= \frac{3\left(\operatorname{sec}^2 64^{\circ}-\tan ^2 64^{\circ}\right)+\left(\cot ^2 42^{\circ}-\operatorname{cosec} ^2 42^{\circ}\right)}{\tan \left(68^{\circ}+\theta\right)-\operatorname{cosec}^2\left(62^{\circ}+\theta\right)-\tan \left(\theta+68^{\circ}\right)+\cot ^2\left(62^{\circ}+\theta\right)}$ $= \frac{3\left(1\right)+\left(\cot ^2 42^{\circ}-1-\cot ^2 42^{\circ}\right)}{-(\operatorname{cosec}^2\left(62^{\circ}+\theta\right)-\cot ^2\left(62^{\circ}+\theta\right))}$ $= \frac{3-1}{-1}$ $= -2$ Hence, the correct answer is –2.
Question : Select the INCORRECTLY spelt word in the following sentence.
It is a deeply regrettable fact that deforestation has had a substantial consequenses on the environment.
Option 1: deforestation
Option 2: substantial
Option 3: regrettable
Option 4: consequenses
Correct Answer: consequenses
Solution : The correct choice is the fourth option.
Explanation: The correct spelling is "consequences" not "consequenses". The word "consequences" refers to the results or effects of a particular action, and it is commonly spelt with a "c" instead of the "s". Therefore, the correct spelling
Question : Directions: Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement(s). Statements: Some coats are tables. No table is a mirror. All golds are tables. Conclusions: I. Some coats being gold is a possibility. II. No gold is a mirror. III. All tables are gold. IV. No coat is a mirror.
Option 1: Only Conclusion I follows
Option 2: Only Conclusions II and III follow
Option 3: Only Conclusions I and II follow
Option 4: Only Conclusions I, II and IV follow
Correct Answer: Only Conclusions I and II follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some coats being gold is a possibility – It is a possibility that the circle representing gold overlaps the circle
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 32, ?, 44, 56, 72, 92
Option 1: 34
Option 2: 36
Option 3: 38
Option 4: 40
Correct Answer: 36
Solution : Given: 32, ?, 44, 56, 72, 92
Add consecutive multiples of 4 to obtain the missing number in the series. 32 + 4 = 36; 36 + 8 = 44; 44 + 12 = 56; 56 + 16 = 72; 72 + 20 = 92
Question : A merchant marked the cloth at Rs. 50 per metre. He offers two successive discounts of 15% and 20%. The net price per metre of cloth is:
Option 1: Rs. 32.50
Option 2: Rs. 42.50
Option 3: Rs. 34.00
Option 4: Rs. 40.00
Correct Answer: Rs. 34.00
Solution : Given: A merchant marked the cloth at Rs. 50 per metre. He offers two successive discounts of 15% and 20%. Here, two successive discounts are 15% and 20%. So, the net price after successive discounts = $50×(\frac{100\:–\:15}{100})×(\frac{100\:–\:20}{100})$ = $50×\frac{85}{100}×\frac{80}{100}$ = Rs. 34 Hence, the
Question : Select the most appropriate option to fill in the blank. She couldn’t continue with a ________ diet to reduce her blood sugar.
Option 1: practised
Option 2: shortened
Option 3: maintained
Option 4: balanced
Correct Answer: balanced
In the context of managing blood sugar levels, a "balanced" diet is the most suitable choice as it conveys the idea of a diverse and healthy eating plan, essential for controlling blood sugar levels effectively.
Question : In how many years will a sum of Rs. 9,500 amount to Rs. 11,780 at the rate of 8% per annum at simple interest?
Option 2: 2
Option 3: 4
Option 4: 5
Correct Answer: 3
Solution : Total amount = Rs. 11,780 Principal sum = Rs. 9,500 Simple Interest = 11,780 – 9,500 = Rs. 2,280 Rate = 8% Let $n$ be the time. We know, Simple Interest =$\frac{\text{Principal×Rate×Time}}{100}$ $⇒2280 = \frac{9500×8×n}{100}$ $\therefore n= 3$ years Hence, the correct answer is 3.
Question :
Directions: In the following question, select the related word from the given alternatives. Cow : Milk :: Bees : ?
Option 1: Silk
Option 2: Honey
Option 3: Flower
Option 4: Water
Correct Answer: Honey
Solution : Given: Cow : Milk :: Bees : ?
Milk is produced by cows. Similarly, honey is produced by bees.
Hence, the second option is correct.
Question : Directions: Study the following graph which shows the production (in thousands) of different items and answer the question. The average number of pen drives produced by the company over all years is:
Option 1: 1,700
Option 2: 1,70,000
Option 3: 17,000
Option 4: 85,000
Correct Answer: 17,000
Solution : The average number of pen drives produced by the company overall years = $\frac{15000+7500+15000+30000+17500}{5}$ = $\frac{85000}{5}$ = 17,000 Hence, the correct answer is 17,000.
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