Staff Selection Commission Combined Graduate Level Exam
Question : Direction: In the following question a word is followed by four other words, one of which can not be formed by using the letters of the given word. Find this word.
DECOMPOSITION
Option 1: ECONOMIST
Option 2: POSITION
Option 3: DOCTOR
Option 4: COMPOSE
Correct Answer: DOCTOR
Solution : Given:
First option: ECONOMIST;
All the letters of the above word are present in the given word DECOMPOSITION.
Second option: POSITION;
Third option: DOCTOR;
Letter R of the above word
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
I had not completed my English homework (1) / so I thought I was done with when the (2) / teacher asked me to hand it in. (3) / No Error(4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The error lies in the second part of the sentence as the phrase I was done with means 'have finished it' ,which is in contrast with the first part of the sentence and should be replaced by I would do it as the work was
Question : Find the value of the given expression: $10 \div 5 × 1+3 - [8 - \{5 - (7 - 7 - 9)\}]$
Option 1: 11
Option 2: 10
Option 3: 9
Option 4: 8
Correct Answer: 11
Solution : Given: 10 ÷ 5 × 1 + 3 – [8 – {5 – (7 – 7 – 9)}] Using the BODMAS rule, we get, = 10 ÷ 5 × 1 + 3 – [8 – {5 – ( –9)}] = 10 ÷ 5 × 1
Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure series, in every alternate box, the geometrical figures/ letters/ numbers at certain positions shift their position following the below pattern – 1. Box 1 to box 2 and box 3 to box 4 follow the same pattern. 2. Box 2 to
Question : The compound in which a hydroxy group, -OH, is attached to a saturated carbon atom which has two other carbon atoms attached to it is called:
Option 1: aldehyde
Option 2: tertiary alcohol
Option 3: secondary alcohol
Option 4: primary alcohol
Correct Answer: secondary alcohol
Solution : The correct option is secondary alcohol.
The compound in which a hydroxy group, -OH, is attached to a saturated carbon atom which has two other carbon atoms attached to it is called secondary alcohol. In secondary alcohols, the carbon atom bearing the hydroxy group
Question : The expression $\frac{\tan57°+\cot37°}{\tan33°+\cot53°}$ is equal to:
Option 1: $\tan33°\cot57°$
Option 2: $\tan57°\cot37°$
Option 3: $\tan33°\cot53°$
Option 4: $\tan53°\cot37°$
Correct Answer: $\tan57°\cot37°$
Solution : Given: $\frac{\tan57°+\cot37°}{\tan33°+\cot53°}$ = $\frac{\tan57°+\cot37°}{\tan(90°-57°)+\cot(90°-37°)}$ = $\frac{\tan57°+\cot37°}{\cot57°+\tan37°}$ = $\frac{\tan57°+\cot37°}{\frac{1}{\tan57°}+\frac{1}{\cot37°}}$ = $\tan57°\cot37°[\frac{\tan57°+\cot37°}{\tan57°+\cot37°}]$ = $\tan57°\cot37°$ Hence, the correct answer is $\tan57°\cot37°$.
Question : Directions: Which of the following interchanges of signs would make the given equation correct? 1000 – 448 + 14 ÷ 15 × 2 = 998
Option 1: + and ÷
Option 2: × and ÷
Option 3: – and +
Option 4: ÷ and –
Correct Answer: + and ÷
Solution : Given: 1000 – 448 + 14 ÷ 15 × 2 = 998
Let's check the options – First option: + and ÷ The equation becomes ⇒ 1000 – 448 ÷ 14 + 15 × 2 = 998 Solving the L.H.S. of the equation
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.) (21, 33, 31) (42, 17, 26)
Option 1: (36, 14, 35)
Option 2: (46, 19, 24)
Option 3: (35, 27, 29)
Option 4: (32, 39, 20)
Correct Answer: (36, 14, 35)
Solution : Given: (21, 33, 31) (42, 17, 26)
Adding all the numbers in the set – ⇒ (21, 33, 31)→21+ 33 + 31 = 85 ⇒ (42, 17, 26)→42 + 17 + 26 = 85
Let's check the options – First option: (36, 14,
Question : Direction: In this question, some equations are solved on the basis of a certain system. On the same basis find out the corrective alternative for the unsolved equation.
1 x 2 x 3 = 231
3 x 4 x 5 = 453
5 x 6 x 7 = ?
Option 1: 657
Option 2: 675
Option 3: 756
Option 4: 765
Correct Answer: 675
Solution : Here, the given equations follows a pattern in which the first number, the middle number and the last number in LHS becomes the units place digit , the hundreds place digit and the tens place digit in the answer part in RHS respectively.
⇒ 1
Question : In the following figure, if l || m, then find the measures of angles marked by a and b.
Option 1: a = 90$^{\circ}$ and b = 90$^{\circ}$
Option 2: a = 55$^{\circ}$ and b = 125$^{\circ}$
Option 3: a = 70$^{\circ}$ and b = 110$^{\circ}$
Option 4: a = 60$^{\circ}$ and b = 120$^{\circ}$
Correct Answer: a = 70$^{\circ}$ and b = 110$^{\circ}$
Solution : Since $l \parallel m$, ⇒ $\angle$ c = 110$^{\circ}$ (corresponding angles are equal) Also, $\angle$ a + $\angle$ c = 180$^{\circ}$ (supplementary angles) ⇒ $\angle$ a = 180$^{\circ}$ – 110$^{\circ}$ = 70$^{\circ}$ Now, $\angle$ b = $\angle$ a +
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