Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Pointing to a lady in a photograph, Meera said, "Her father's only son's wife is my mother-in-law". How is Meera's husband related to that lady in the photo?
Option 1: Nephew
Option 2: Uncle
Option 3: Son
Option 4: Father
Correct Answer: Nephew
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
According to the above family tree, Meera's husband is the nephew of that lady. Hence, the
Question : ABCD is a quadrilateral in which AB || DC. E and F are the midpoints of the diagonals AC and BD, respectively. If AB = 18 cm and CD = 6 cm, then EF =?
Option 1: 8 cm
Option 2: 6 cm
Option 3: 12 cm
Option 4: 9 cm
Correct Answer: 6 cm
Solution : In a trapezium, a line joining the mid-points of the diagonals is equal to half of the difference of two parallel sides. So, EF = $\frac{1}{2}$ (AB – CD) = $\frac{1}{2}$ (18 – 6) = $\frac{1}{2}$ × 12 = 6 Hence, the correct answer
Question : A boat covers a certain distance against the stream in 9 hours 36 min and it covers the same distance along the stream in 6 hours. What is the ratio of the speed of the boat in still water to that of the stream?
Option 1: 13 : 3
Option 2: 9 : 2
Option 3: 11 : 6
Option 4: 8 : 5
Correct Answer: 13 : 3
Solution : Let the speed of the boat in still water and the speed of the stream be $x$ and $y$ km/hr. Time taken by boat to cover some distance along the stream = 6 hours Time taken by boat to cover the same distance
Question : The sum of two numbers is equal to 25 and their difference is 20. The ratio of the two numbers is:
Option 1: 9 : 1
Option 2: 7 : 9
Option 3: 3 : 5
Option 4: 2 : 7
Correct Answer: 9 : 1
Solution : Given: The sum of two numbers is 25 and their difference is 20. Let $n_1,$ and $n_2$ be the two numbers. $n_1= \frac{\text{Sum + Difference}}{2}=\frac{25+20}{2}$ = $\frac{45}{2}$ $n_2 = \frac{\text{Sum – Difference}}{2}=\frac{25-20}{2}$ = $\frac{5}{2}$ So, the required ratio = $\frac{45}{2}:\frac{5}{2}$ = 9 :
Question : A boat goes 20 km upstream and 44 km downstream in 8 hours. In 5 hours, it goes 15 km upstream and 22 km downstream. Determine the speed of the boat in still water.
Option 1: 6 km/h
Option 2: 10 km/h
Option 3: 8 km/h
Option 4: 7 km/h
Correct Answer: 8 km/h
Solution : Let the speed of the boat in still water be $x$ km/h and The speed of stream = $y$ km/h Speed of boat at downstream = $(x+y)$ km/h Speed of boat at upstream = $(x−y)$ km/h Time taken to cover 20 km upstream =
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. The saving of certain wild animals from extinction (1)__________ many years been a problem for zoologists and other specialists, but more recently, the problem has become so (2)__________ and has received so much publicity that most people are now (3)__________ about it. This may at first seem strange because one of the most gratifying developments of the last few years has been the passing of strict laws to protect wild animals and the (4)__________ decline in the hunting of big-game for sport. Why is it then that some rare wild animals are still (5)___________ with extinction, and even some of the less rare ones are rapidly declining in number? Question: Select the most appropriate option to fill in the blank 2.
Option 1: acute
Option 2: rare
Option 3: narrow
Option 4: steep
Correct Answer: acute
Solution : The most appropriate option is the first option.
Explanation: Acute means severe or intense, emphasising the seriousness or depth of a problem or situation. Here, the sentence discusses how the problem of saving certain wild animals from extinction has become more intense or severe recently
Question : Direction: Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?
a _ ca _ ca _ caa _
Option 1: caca
Option 2: cacc
Option 3: caac
Option 4: ccca
Correct Answer: cacc
Solution : Given:– a _ ca _ ca _ caa _
Let's check the given options –
First option: caca The series becomes accaacaccaaa There is no pattern in the above series.
Second option: cacc The series becomes ac
Question : Match the columns.
Option 1: i-a, ii-b, iii-c, iv-d
Option 2: i-b, ii-c, iii-a, iv-d
Option 3: i-d, ii-c, iii-b, iv-a
Option 4: i-b, ii-a, iii-d, iv-c
Correct Answer: i-d, ii-c, iii-b, iv-a
Solution : The correct options are i-d, ii-c, iii-b, and iv-a.
(i) Gaucher disease: Rare genetic disorder, lacks glucocerebrosidase enzyme.
(ii) Hunter syndrome: Mucopolysaccharidosis, lacks iduronate-2-sulfatase enzyme.
(iii) Tay-Sachs disease: Lysosomal storage disorder, lacks hexosaminidase A enzyme.
(iv) Phenylketonuria (PKU): Inherited metabolic disorder, lacks
Question : Which of the following is equal to $\frac{1}{\tan \theta}+\tan \theta$?
Option 1: $\sec \theta \operatorname{cosec} \theta$
Option 2: $1$
Option 3: $\frac{\operatorname{cosec} \theta}{\sec \theta}$
Option 4: $\tan ^2 \theta$
Correct Answer: $\sec \theta \operatorname{cosec} \theta$
Solution : Given: The trigonometric expression is $\frac{1}{\tan \theta}+\tan \theta$. We know the trigonometric identity $\sec^2\theta=1+\tan^2\theta$ ⇒ $\frac{1}{\tan \theta}+\tan \theta=\frac{1+\tan^2 \theta}{\tan \theta}$ $=\frac{\sec^2 \theta}{\tan \theta}=\frac{\sec^2 \theta}{\sin\theta}\times\cos\theta=\sec \theta \operatorname{cosec} \theta$ Hence, the correct answer is $\sec \theta \operatorname{cosec} \theta$.
Question : Directions: A constituency is divided into four regions: A, B, C, and D. Two candidates, X and Y, contested the last election from that constituency. The adjoining graph gives the breakdown of voting in the four regions. Study the graph and answer the following question: Nearly what percentage of his total votes did X receive from region B?
Option 1: 30%
Option 2: 31%
Option 3: 32%
Option 4: 35%
Correct Answer: 32%
Solution : As per the given bar graph: In Region B, X gets 73 votes. Total votes received by X = 45 + 73 + 51 + 56 = 225 votes Required percent = $\frac{\text{X gets votes in region B}}{{\text{Total votes received by X}}}× 100$ Required percent
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