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Staff Selection Commission Combined Graduate Level Exam

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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

Team Careers360 23rd Jan, 2024

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

27 Views

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

Team Careers360 22nd Jan, 2024

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

184 Views

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

Team Careers360 22nd Jan, 2024

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

33 Views

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

Team Careers360 25th Jan, 2024

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 :

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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

Team Careers360 24th Jan, 2024

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 =

16 Views

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

Team Careers360 21st Jan, 2024

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

75 Views

Question : Match the columns.

Column-A (Disorder) Column-B (Enzyme)
i. Gaucher disease a. Phenylalanine hydroxylase
ii. Hunter syndrome b. Hexosaminidase A
iii. Tay-Sachs disease c. Iduronate-2-sulphatase
iv. Phenylketonuria d. Glucocerebrosidase

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

Team Careers360 21st Jan, 2024

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

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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: $\tan ^2 \theta$

Team Careers360 24th Jan, 2024

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 $\sec \theta \operatorname{cosec} \theta$.

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