SSC CHSL 30th May Shift 3 - QA
Study the given bar-graph and answer the question that follows.
The given bar-graph shows the exports and imports (in crores of rupees) of five companies in a particular financial year.
Based on the given information, the ratio of exports to imports is highest in company _____ .
- A.
A
- B.
D
- C.
B
- D.
E
Answer: Option C
Explanation :
Workspace:
The average runs scored by Sunil in 17 innings is 37. What is his score in the 17th inning, thereby, increasing his average score by 9 runs?
- A.
81
- B.
108
- C.
181
- D.
167
Answer: Option C
Explanation :
Workspace:
In a company, there are only two types of employees: workers and officers. The average monthly salary of an officer is ₹78,000 more than the combined average monthly salary of an employee, while the combined average monthly salary of an employee is ₹42,000 more than the average monthly salary of a worker. What percentage of all the employees are officers?
- A.
28%
- B.
35%
- C.
30%
- D.
32%
Answer: Option B
Explanation :
Let the average salary of an worker be Rs. 's'.
∴ Average salary of a worker = s + 42,000
∴ Average salary of an officer = s + 42,000 + 78,000 = s + 120000
Now let the number of workers be 'w' and number of officers be 'o'.
⇒ Total salary = Salary of workers + Salary of Officers
⇒ (w + o) × (s + 42000) = w × s + o × (s + 120000)
⇒ ws + 42000s + os + 42000o = w × s + os + 120000o
⇒ 42000s + 42000o = 120000o
⇒ 42000s = 78000o
⇒ s/o = 78000/42000 = 39/21 = 13/7
∴ Percentage of officers in the office = 7/(7 + 13) × 100% = 35%
Hence, option (b).
Workspace:
If α is an acute angle, which of the following options will NOT necessarily be equal to the value of sec α?
- A.
- B.
- C.
- D.
Answer: Option B
Explanation :
Workspace:
What is the volume of a right circular cylinder whose curved surface area is 12 π cm2 and the circumference of its base is 4 π cm?
- A.
48π cm3
- B.
36π cm3
- C.
12π cm3
- D.
24π cm3
Answer: Option C
Explanation :
Workspace:
The curved surface area of a right circular cone of radius 28 cm is 4664 cm2. What is the slant height of the cone?
(Use π = 22/7)
- A.
53 cm
- B.
56 cm
- C.
64 cm
- D.
48 cm
Answer: Option A
Explanation :
Workspace:
The number 36 is increased by a certain percentage and becomes 6c: Calculate that percentage.
- A.
50%
- B.
75%
- C.
60%
- D.
85%
Answer: Option B
Explanation :
Workspace:
Find the third proportion to 16 and 24:
- A.
30
- B.
32
- C.
36
- D.
42
Answer: Option C
Explanation :
Workspace:
If a + b = 25, then (a - 15)3 + (b - 10)3 is:
- A.
125
- B.
0
- C.
625
- D.
225
Answer: Option B
Explanation :
Workspace:
If p3 + 3p2 + 3p = 26, then the value of p2 + 2p is:
- A.
8
- B.
12
- C.
10
- D.
15
Answer: Option A
Explanation :
Workspace:
In a triangle ABC, CA is produced to P, ∠BAP = 126°. If ∠B : ∠C = 5 : 2, the degree measures of ∠B and ∠C are respectively:
- A.
90° and 36°
- B.
84° and 42°
- C.
78° and 48°
- D.
70° and 56°
Answer: Option A
Explanation :
Workspace:
When the price of a watch was reduced by 20%, the number of watches sold is increased by 40%. What was the effect on the sales in percentage?
- A.
12% increase
- B.
30% decrease
- C.
12% decrease
- D.
30% increase
Answer: Option A
Explanation :
Workspace:
Study the given table and answer the question that follows.
The average number of tests per day per lakh in the four countries is:
- A.
15400
- B.
15500
- C.
15600
- D.
15000
Answer: Option D
Explanation :
Workspace:
Simplify:
÷ .
- A.
8
- B.
5
- C.
8
- D.
2
Answer: Option A
Explanation :
Workspace:
The given table shows the revenue, cost and tax rate for a company for a period of 6 years. The revenue and cost are given in Rs. lakhs.
Profit = Revenue - Cost
Profit after tax for any year = Profit for that year - Tax for that year
Tm, for any year = Tax rate for that year Profit for that year
Find the total sum (in Rs. lakhs) of profit after tax for 20 15 to 2020 .
- A.
206.6
- B.
196.8
- C.
220.2
- D.
215.3
Answer: Option A
Explanation :
Workspace:
Simplify the following:
6 × {6 of (6 + 6)} ÷ {(6 ÷ 6) × (600% of 6)}
- A.
12
- B.
15552
- C.
108
- D.
6
Answer: Option A
Explanation :
Workspace:
A book is sold for ₹1,554 by allowing a discount of 26% on its marked price. Find the marked price of the book.
- A.
₹1,854
- B.
₹2,100
- C.
₹1,750
- D.
₹2,000
Answer: Option B
Explanation :
Workspace:
Malay walks around a circular field at the rate of 7 rounds per hour,while Neha runs around it at the rate of 11 rounds per hour. They start in the same direction from the same point at 02:45 p.m. They shall first cross each other at:
- A.
03:00 p.m.
- B.
03:05 p.m.
- C.
02:50 p.m.
- D.
03:00 a.m.
Answer: Option A
Explanation :
Workspace:
A can do a piece of work alone in 96 days and B can do it alone in 104 days. In how many days can the duo, working together, complete the work?
- A.
49.94
- B.
49.92
- C.
49.96
- D.
49.88
Answer: Option B
Explanation :
Workspace:
The Earth makes a complete rotation about its axis in 24 hours. Through what angle will it turn in 3 hours 30 minutes?
- A.
60°
- B.
65°
- C.
50°
- D.
5b:5°
Answer: Option D
Explanation :
Workspace:
What is the compound interest on ₹20,000 for 9 months at the rate of 4% per annum, when interest is compounded quarterly?
- A.
₹610
- B.
₹606.02
- C.
₹609.05
- D.
₹605
Answer: Option B
Explanation :
Workspace:
The marked price of a shirt is ₹2,150. Let two successive discounts offered by the store be 10% and ‘x%’. If the selling price of the shirt is ₹1,505, then calculate the value of ‘x’.
[Give your answer correct to two decimal places.]
- A.
24.44%
- B.
24.24%
- C.
22.22%
- D.
22.42%
Answer: Option C
Explanation :
Workspace:
Romesh opened a fixed deposits account in his bank for 3 years by depositing ₹80,000.The bank has promised to pay him compound interest annually at the rate of 7% per annum. What is the maturity value of his FDR? (Nearest to a ₹)
- A.
₹98,003
- B.
₹98,970
- C.
₹98,010
- D.
₹98,900
Answer: Option A
Explanation :
Workspace:
If the number 5X8146Y is divisible by 88, then what is the value of X?
- A.
3
- B.
1
- C.
2
- D.
4
Answer: Option A
Explanation :
Workspace:
A man bought a piece of land for ₹48,000. He sold two-fifth of it at a loss of 10%. At what gain percentage (rounded off to 1 decimal place) should he sell the remaining land to earn an overall profit of 42%?
- A.
76.7%
- B.
84.3%
- C.
79.5%
- D.
89.8%
Answer: Option A
Explanation :
Workspace: