Staff Selection Commission Combined Graduate Level Exam
Question : On dividing a certain number by 363, we get 17 as the remainder. What will be the remainder when the same number is divided by 11?
Option 1: 7
Option 2: 8
Option 3: 6
Option 4: 9
Correct Answer: 6
Solution : Given that, On dividing a certain number by 363, we get 17 as the remainder. Let the number be $363x+17$. The number = $33x(11)+1(11) + 6$ The number = $11(33x+1) + 6$ So, the remainder when the given number is divided by 11 is 6.
Question : Which one of the following is a Sedimentary Rock ?
Option 1: Granite
Option 2: Charnockite
Option 3: Basalt
Option 4: Arkose
Correct Answer: Arkose
Solution : The correct answer is Arkose.
Sedimentary rocks are the rocks which are formed by the deposition of sediments carried by rivers and winds. They also carry petroleum and mineral deposits. Some common sedimentary rocks are sandstone, limestone, arkose and shale etc.
While marble and charnockite
Question : The reciprocals of the squares of the numbers 1$\frac{1}{2}$ and 1$\frac{1}{3}$ are in the ratio:
Option 1: 64 : 81
Option 2: 8 : 9
Option 3: 81 : 64
Option 4: 9 : 85
Correct Answer: 64 : 81
Solution : $1\frac{1}{2} : 1\frac{1}{3}$ $=\frac{3}{2}$ : $\frac{4}{3}$ After squaring the fractions, we get, ⇒ $\frac{9}{4}:\frac{16}{9}$ Their reciprocals are, ⇒ $\frac{4}{9}:\frac{9}{16}$ Multiply each ratio by 144 (LCM of 9 and 16) $\therefore$ The required ratio = 64 : 81 Hence, the correct answer is 64
Question : Directions: In the following question a series is given, with one number missing. Select the missing number from the given alternatives. 21, 25, 52, 68, 193, ?
Option 1: 229
Option 2: 242
Option 3: 257
Option 4: 409
Correct Answer: 229
Solution : Given: 21, 25, 52, 68, 193, ?
Let's apply the pattern – 21 + (2)2 = 21 + 4 = 25 25 + (3)3 = 25 + 27 = 52 52 + (4)2 = 52 + 16 = 68 68 + (5)
Question : Directions: Which of the following terms will replace the question mark (?) in the given series? AVTE, CTRG, ERPI, GPNK, ?
Option 1: INLM
Option 2: MINL
Option 3: ILNM
Option 4: INJM
Correct Answer: INLM
Solution : Given: AVTE, CTRG, ERPI, GPNK, ?
Add 2 in the first and the fourth alphabet and subtract 2 from the second and the third alphabet to obtain the next term. AVTE: A + 2 = C; V – 2 = T; T – 2 =
Question : PQRA is a rectangle, AP = 22 cm and PQ = 8 cm. $\triangle$ABC is a triangle whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 16 cm. Then the length of the line joining the midpoints of the sides AB and BC is:
Option 1: $4\sqrt2$ cm
Option 2: $5$ cm
Option 3: $6$ cm
Option 4: $10$ cm
Correct Answer: $5$ cm
Solution : Given: PQRA is a rectangle, AP = 22 cm and PQ = 8 cm. $\triangle$ABC is a triangle whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 16 cm. Let D and E be the two
Question : The simple interest on a sum of money for 10 years is Rs. 3130. If the principal is increased five times after 5 years, what will be the total interest (in Rs.) obtained after 10 years?
Option 1: 6260
Option 2: 7825
Option 3: 9390
Option 4: 15650
Correct Answer: 9390
Solution : The principal gives interest of Rs. 3130 in 10 years. Hence, the principal gives interest in 5 years = Rs. $\frac{3130 \times 5}{10}$ = Rs. 1565 After 5 years, the principal is 5 times. The interest for the remaining 5 years is also 5 times
Question : The value of $3 \frac{1}{5} \div 4 \frac{1}{2}$ of $5 \frac{1}{3}+\frac{1}{8} \div \frac{1}{2}$ of $\frac{1}{4}-\frac{1}{4}\left(\frac{1}{2} \div \frac{1}{8} \times \frac{1}{4}\right)$ is:
Option 1: $\frac{13}{15}$
Option 2: $\frac{7}{8}$
Option 3: $\frac{3}{4}$
Option 4: $\frac{53}{60}$
Correct Answer: $\frac{53}{60}$
Solution : $3 \frac{1}{5} \div 4 \frac{1}{2}$ of $5 \frac{1}{3}+\frac{1}{8} \div \frac{1}{2}$ of $\frac{1}{4}-\frac{1}{4}\left(\frac{1}{2} \div \frac{1}{8} \times \frac{1}{4}\right)$ = $\frac{16}{5} \div \frac{9}{2}$ of $ \frac{16}{3}+\frac{1}{8}\div \frac{1}{8} -\frac{1}{4} (4×\frac{1}{4})$ = $\frac{16}{5} \div 24 + 1 - \frac{1}{4}$ = $\frac{16}{5} × \frac{1}{24}+ \frac{3}{4}$ = $\frac{2}{15} + \frac{3}{4}$ = $\frac{53}{60}$
Question : Directions: If 27 (15) 33 and 41 (13) 53, then what is the value of A in 26 (A) 35?
Option 1: 16
Option 2: 13
Option 3: 14
Option 4: 11
Correct Answer: 16
Solution : Given: 27 (15) 33; 41 (13) 53
Like, 27 (15) 33 is (2 + 7) + (3 + 3) = 9 + 6 = 15 And, 41 (13) 53 is (4 + 1) + (5 + 3) = 5 + 8 = 13 Similarly, 26
Question : Economic Survey in India is published officially every year by the:
Option 1: Reserve Bank of India
Option 2: NITI Aayog
Option 3: Ministry of Finance
Option 4: Ministry of Commerce
Correct Answer: Ministry of Finance
Solution : The correct answer is the Ministry of Finance.
The Economic Survey of India is a yearly report that examines changes in the Indian economy over the previous 12 months and is published by the Finance Ministry of the Indian Government. The Finance
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