Staff Selection Commission Combined Graduate Level Exam
Question : A sum of money at simple interest amounts to INR 1,200 in 3 years and INR 1,350 in 4 years. The sum is:
Option 1: INR 650
Option 2: INR 850
Option 3: INR 450
Option 4: INR 750
Correct Answer: INR 750
Solution : Total amount at the end of 4th year = INR 1,350 Total amount at the end of 3rd year = INR 1,200 Simple Interest (SI), at (4 – 3) = 1 year ⇒ (1350 – 1200) = INR 150. ⇒ SI at the end
Question : The arithmetic mean of the following data is _________. 23, 17, 20, 19, 21
Option 1: 20
Option 2: 19
Option 3: 23
Option 4: 21
Correct Answer: 20
Solution : Arithmetic mean $=\frac{\text{Sum of observations}}{\text{Number of observations}}$ $=\frac{23 + 17 + 20 + 19 + 21}{5}$ $=\frac{100}{5}$ $=20$ Hence, the correct answer is 20.
Question : Directions: Select the option that represents the letters that, when placed from left to right in the blanks below, will complete the letter series. _RQ_PR_S_ _QSPRQ_
Option 1: PQRSPR
Option 2: PSQPRS
Option 3: PSRQPS
Option 4: PRQSPS
Correct Answer: PSQPRS
Solution : Given: _RQ_PR_S_ _QSPRQ_
Check the order of the letters in the given series. To fill the series we have to divide the series – _RQ_ / PR_S / _ _QS / PRQ_ Let's check the options – First option: PQRSPR; PRQQ/ PR
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given 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.) (5, 98, 9) (10, 168, 14)
Option 1: (1, 28, 3)
Option 2: (7, 108, 23)
Option 3: (15, 248, 19)
Option 4: (3, 88, 17)
Correct Answer: (1, 28, 3)
Solution : Given: (5, 98, 9); (10, 168, 14)
Like, (5, 98, 9)→(98 ÷ 7) – 5 = 14 – 5 = 9 (10, 168, 14)→(168 ÷ 7) – 10 = 24 – 10 = 14
Let's check the options – First option: (1, 28,
Question : Directions: Six friends J, K, L, M, N, and O are sitting around a circular table facing the centre. N is not an immediate neighbour of M. M is sitting to the immediate left of J. J is sitting opposite L, who is sitting to the immediate right of K. Who is sitting second to the left of L?
Option 1: M
Option 2: O
Option 3: K
Option 4: N
Correct Answer: N
Solution : Given: (i) M is sitting to the immediate left of J. J is sitting opposite L, who is sitting to the immediate right of K.
(ii) N is not an immediate neighbour of M.
So, N is sitting second to the left of L. Hence,
Question : The numerator of a fraction is a multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator $7 + c (c > –7)$ is a constant, then the minimum value of the fraction is:
Option 1: 5
Option 2: $\frac{1}{5}$
Option 3: –5
Option 4: $-\frac{1}{5}$
Correct Answer: $-\frac{1}{5}$
Solution : Let the first number be $x$. Then, the second number would be $(x+2)$. According to the question, ⇒ $x + 2+ 4 = 7 + c$ ⇒ $x + 6 = 7 + c$ ⇒ $x = 1 + c$ Fraction is $\frac{{x}({x}+2)}{7+{c}}= \frac{(1+c)(3+c)}{7+c}$ For
Question : A car priced INR 6,50,000 is bought by making a down payment. On the balance, a simple interest of 10% is charged in a lump sum and the money is to be paid in 20 equal annual instalments of INR 25,000. How much is the down payment?
Option 1: INR 1,55,945
Option 2: INR 1,95,455
Option 3: INR 1,94,555
Option 4: INR 1,45,955
Correct Answer: INR 1,95,455
Solution : Let the downpayment be of INR $x$. Hence from the above data, we get the following relation, $(650000 - x)\times (1 + \frac{10}{100}) = 20\times 25000$ $⇒650000 - x = 20\times 25000 \times \frac{10}{11} ≈ 454545$ $⇒x = 650000 - 454545 = 1,95,455$ $⇒x
Question : Direction: In the following question, identify the diagram that represents the best relationship among classes given below.
Fruits, Apples, Oranges
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Both apples and oranges are fruits. But, apples and oranges are not related to each other in any way.
So, All apples are fruits; All oranges are fruits; No apples are oranges.
Based on the above statements, the Venn diagram will be
Hence, second option is
Question : O is a point in the interior of $\triangle \mathrm{ABC}$ such that OA = 12 cm, OC = 9 cm, $\angle A O B=\angle B O C=\angle C O A$ and $\angle A B C=60^{\circ}$. What is the length (in cm) of OB?
Option 1: $6 \sqrt{3}$
Option 2: $4 \sqrt{6}$
Option 3: $4 \sqrt{3}$
Option 4: $6 \sqrt{2}$
Correct Answer: $6 \sqrt{3}$
Solution :
O is a point in the interior of $\triangle \mathrm{ABC}$ OA = 12 cm OC = 9 cm $\angle A O B=\angle B O C=\angle C O A$ $\angle A B C=60^{\circ}$ $\angle A O B=\angle B O C=\angle C O A=\frac{360^{\circ}}{3} = 120^{\circ}$
Question : Identify the segment in the sentence which contains a grammatical error. This jewellery box is made from silver and is an antique piece.
Option 1: This jewellery box
Option 2: is made from silver
Option 3: and is
Option 4: an antique piece
Correct Answer: is made from silver
Solution : The correct choice is the second option.
Explanation: The error is in the use of the preposition "from" in connection with the material of the jewellery box. The correct preposition to use when talking about the material from which something is
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