Staff Selection Commission Combined Graduate Level Exam
Question : Directions: A series is given below with three terms missing. Choose the correct alternative from the given ones that will complete the series. T, Q, N, K, H, E, B, Y, V, S, P, ?, ?, ?
Option 1: N, K, G
Option 2: N, K, I
Option 3: M, J, G
Option 4: M, J, H
Correct Answer: M, J, G
Solution : Given: T, Q, N, K, H, E, B, Y, V, S, P, ?, ?, ?
In the given series, subtract 3 from the place value of the previous letter to get the next letter – T – 3 = Q; Q – 3
Question : The difference between simple and compound Interest compounded annually on a certain sum of money for 2 years at 4% per annum is Rs. 8. The sum is:
Option 1: Rs. 10,000
Option 2: Rs. 20,000
Option 3: Rs. 5,000
Option 4: Rs. 15,000
Correct Answer: Rs. 5,000
Solution : Given: The difference between simple interest (SI) and compound interest (CI) compounded annually on a certain sum of money for 2 years at 4% per annum is Rs. 8. Time = 2 years Rate ($R$) = 4% per annum Let the principal be Rs.
Question : Directions: A & B means A is the wife of B; A # B means A is the father of B; A @ B means A is the son of B; A % B means A is the husband of B; A + B means A is the mother of B. If A & B # C & D @ E % F + G, then how is D related to G?
Option 1: Brother
Option 2: Father
Option 3: Son
Option 4: Son-in-law
Correct Answer: Brother
Solution : Given: A & B means A is the wife of B. A # B means A is the father of B. A @ B means A is the son of B. A % B means A is the husband of B. A + B means
Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 19, 28, 39, 52, ?, 84
Option 1: 39
Option 2: 52
Option 3: 67
Option 4: 84
Correct Answer: 67
Solution : Given: 19, 28, 39, 52, ?, 84
Add consecutive odd numbers to the previous number to obtain the next number. 19 + 9 = 28; 28 + 11 = 39; 39 + 13 = 52; 52 + 15 = 67; 67 + 17 = 84
Question : If $x\sin^{3}\theta +y\cos^{3}\theta=\sin\theta\cos\theta$ and $x\sin\theta-y\cos\theta=0$, then the value of $\left ( x^{2}+y^{2} \right )$ equals:
Option 1: $1$
Option 2: $\frac{1}{2}$
Option 3: $\frac{3}2$
Option 4: $2$
Correct Answer: $1$
Solution : Given: $x\sin\theta=y\cos\theta$ And, $x\sin^{3}\theta +y\cos^{3}\theta=\sin\theta\cos\theta$ ⇒ $x\sin\theta(\sin^{2}\theta) +y\cos\theta(\cos^{2}\theta)=\sin\theta\cos\theta$ Since, $x\sin\theta=y\cos\theta$ and $\sin^{2}\theta+\cos^{2}\theta=1$, So, $x\sin\theta=y\cos\theta=\sin\theta\cos\theta$ ⇒ $x=\cos\theta$ and $y=\sin\theta$ So, $x^{2}+y^{2}=\sin^{2}\theta+\cos^{2}\theta=1$ Hence, the correct answer is 1.
Question : If $\frac{2 p}{p^2-5 p+1}=\frac{1}{10}, p \neq 0$, then the value of $\left(p+\frac{1}{p}\right)$ is:
Option 1: 10
Option 2: 25
Option 3: 1
Option 4: 15
Correct Answer: 25
Solution : $\frac{2 p}{p^2-5 p+1}=\frac{1}{10}$ ⇒ $p^2-5 p+1$ = $20p$ ⇒ $p^2-25 p+1$ = $0$ ⇒ $p+\frac{1}{p}-25$ = $0$ ⇒ $p+\frac{1}{p}$ = $25$ Hence, the correct answer is 25.
Question : The Vedic Aryans lived in the area called Sapt-Sindhu, which means area drained by seven rivers. One of the rivers among the seven is Jhelum. What was its ancient name?
Option 1: Askini
Option 2: Parushni
Option 3: Vipash
Option 4: Vitasta
Correct Answer: Vitasta
Solution : The correct option is Vitasta.
The ancient name of the river Jhelum was Vitasta. In Vedic times, the region where the Vedic Aryans lived, known as Sapt-Sindhu, included the land around seven rivers, and Vitasta (Jhelum) was one of these rivers. The Vedas and other
Question : A man does double the work done by a boy at the same time. The number of days that 3 men and 4 boys will take to finish a work that can be done by 10 men in 8 days is:
Option 1: $4$
Option 2: $16$
Option 3: $7\frac{3}{11}$
Option 4: $8\frac{4}{5}$
Correct Answer: $16$
Solution : Let the efficiency of 1 man and 1 boy be m and b respectively. m = 2b m : b = 2 : 1 We know that, work = efficiency × time So, work done by 10 men in 8 days = 2 × 10
Question : Directions: In the following question, find the odd letter cluster from the given alternatives.
Option 1: ACEG
Option 2: BDFG
Option 3: JLNP
Option 4: SUWY
Correct Answer: BDFG
Solution : Let's check the options – First option: ACEG; A + 2 = C; C + 2 = E; E + 2 = G Second option: BDFG; B + 2 = D; D + 2 = F; F + 1 = G Third option: JLNP; J
Question : The Nobel Peace Prize is awarded in which city?
Option 1: Brussels
Option 2: Geneva
Option 3: Oslo
Option 4: Stockhlm
Correct Answer: Oslo
Solution : The correct option is - Oslo.
The Nobel Prizes in physics, chemistry, literature, and physiology or medicine are awarded in Stockholm, Sweden.
while the Nobel Peace Prize is awarded in Oslo, Norway, as stated in the Swedish-born inventor and international industrialist Alfred Nobel's will, which
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