SSC CHSL 27th May Shift 2 - QA
In an election, there were three candidates: A, B and C. 10% of the eligible voters did not vote. Out of those who voted, 45% voted for A, 35% voted for B and the remaining 20% voted for C. 30% of the votes polled for A and 20% of the votes polled for B were later deemed invalid, while all the votes polled for C were deemed valid. If A got 882 more valid votes than B did, how many valid votes did C receive?
- A.
5020
- B.
5040
- C.
5050
- D.
5060
Answer: Option B
Explanation :
Let the total number of votes polled = 100x
Out of these 100x, votes polled for
A = 45x, B = 35x and C = 20x
Valid votes for
A = 31.5x, B = 28x and C = 20x
Given, A - B = 882
⇒ 31.5x - 28x = 882
⇒ x = 252
∴ Number of votes received by C = 20x = 5040.
Hence, option (b).
Workspace:
If cos 2A = sin 75° then the smallest positive value of A is:
- A.
15°
- B.
7.5°
- C.
30°
- D.
37.5°
Answer: Option B
Explanation :
Workspace:
The frustum of a right circular cone has the radius of the base as 5 cm, radius of the top as 3 cm, and height as 6 cm. What is its volume?
- A.
98 π cm3
- B.
100 π cm3
- C.
96 π cm3
- D.
90 π cm3
Answer: Option A
Explanation :
Workspace:
Find the total surface area of a closed hemisphere whose radius is 3.5 cm.
(Use π = 22/7)
- A.
114.5 cm2
- B.
113.5 cm2
- C.
115.5 cm2
- D.
112.5 cm2
Answer: Option C
Explanation :
Workspace:
The table below gives the numbers (in thousand) of different types of geysers sold by a company in six consecutive years.
What is the difference in the number of type B geysers sold in 2010 and 2012?
- A.
44000
- B.
42000
- C.
41000
- D.
45000
Answer: Option A
Explanation :
Workspace:
A thief is noticed by a policeman from a distance of 650 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 8 km and 10.5 km per hour, respectively. The distance (in metres) between them after 12 minutes is:
- A.
150
- B.
85
- C.
125
- D.
100
Answer: Option A
Explanation :
Workspace:
The price of a cell phone is ₹20,000. On Sundays, the shopkeeper offers a cash discount of ₹1,000 on the purchase of the cell phone. Further, if someone purchases it through a credit card, he gives 5% additional discount. If someone is purchasing the cell phone on a Sunday through a credit card, then how much does he/she have to pay?
- A.
₹18,350
- B.
₹18,900
- C.
₹18,050
- D.
₹18,500
Answer: Option C
Explanation :
Workspace:
The price of a tablet is first increased by 10%, and then decreased by 2.5% due to reduction in sales. What is the net percentage change in the final price of the tablet?
- A.
Decrease by 8.75%
- B.
Increase by 7.25%
- C.
Increase by 6.35%
- D.
Decrease by 5.5%
Answer: Option B
Explanation :
Workspace:
Which of the following can be a rationalising factor of ( + + )?
- A.
( - - )
- B.
( + - )
- C.
( - + )
- D.
( + + )
Answer: Option B
Explanation :
Workspace:
What is the fourth proportional to 16, 24, 8?
- A.
12
- B.
8
- C.
24
- D.
16
Answer: Option A
Explanation :
Workspace:
The volume of a cone of radius 13 cm is 507 πcm3. Find its height.
- A.
12 cm
- B.
27 cm
- C.
18 cm
- D.
9 cm
Answer: Option D
Explanation :
Workspace:
In the given figure, if ∠RPS = 25°, the value of ∠ROS is _______.
- A.
155°
- B.
145°
- C.
135°
- D.
165°
Answer: Option A
Explanation :
Workspace:
Study the given table and answer the question that follows.
The table shows quantity of various food items used by a restaurant during four months of a year (in kg).
The quantity of wheat used in the month of July is what percentage of the total quantity of food items used in June?
- A.
29%
- B.
29%
- C.
29%
- D.
29%
Answer: Option B
Explanation :
Workspace:
Subir claimed to sell his items at only 5% above the cost of production, but used a weight that had 1 kg written on it, though it actually weighed 960 grams. What was the actual profit percentage earned by Subir?
- A.
9.125%
- B.
9.375%
- C.
9.25%
- D.
9.5%
Answer: Option B
Explanation :
Workspace:
When f(x) = 15x3 − 14x2 − 4x + 10 is divided by (3x + 2), then the remainder is:
- A.
-1
- B.
1
- C.
-2
- D.
2
Answer: Option D
Explanation :
Workspace:
The average present age of four members of a family is 27 years and average increases by 3 years when one of their relatives joins them. The age of the relative is:
- A.
40 years
- B.
42 years
- C.
46 years
- D.
44 years
Answer: Option B
Explanation :
Workspace:
In an engineering institution, a student’s grade is assessed based on Internal tests (30%), assignments (30%) and external exams (40%). If a student scored 90% in internal tests, 95% in assignments and 75% in the external exams, then the overall grade of the student is:
- A.
86.25 %
- B.
85.25%
- C.
86%
- D.
85.50%
Answer: Option D
Explanation :
Workspace:
The following pie chart shows the spending of a country on tourism in various districts during a particular year. Total spending of the country= ₹15,62,000
Study the pie chart and answer the following question.
How much less money (in ₹} is spent on district C than on district E?
- A.
65790
- B.
60890
- C.
66780
- D.
62480
Answer: Option D
Explanation :
Workspace:
9832 - 172 = ?
- A.
96600
- B.
9662
- C.
9660000
- D.
966000
Answer: Option D
Explanation :
Workspace:
30 men can complete a piece of work in 24 days. 12 days after they started working together, 10 more men joined them. How many days will they now take to complete the remaining work?
- A.
12 days
- B.
8 days
- C.
10 days
- D.
9 days
Answer: Option D
Explanation :
Workspace:
The difference between a discount of 35% on ₹8,000 and two successive discounts of 20% and 15% on the same amount is:
- A.
₹240
- B.
₹320
- C.
₹540
- D.
₹800
Answer: Option A
Explanation :
Workspace:
What is the largest 6-digit number divisible by 52?
- A.
999984
- B.
999999
- C.
999960
- D.
100000
Answer: Option C
Explanation :
Workspace:
The average speed of a train running at a speed of 30 km/h during the first 100 km, at the speed of 40 km/h during the second 100 km and at the speed of 50 km/h during the last 100 km is nearly ________.
- A.
40.2 km/h
- B.
38.3 km/h
- C.
39.2 km/h
- D.
37.5 km/h
Answer: Option B
Explanation :
Workspace:
The population of a country has been growing at a rate of 4% every decade. If the projected population of the country in 2030 is given as 1,58,18,400, what was the population of the country in 2000?
- A.
1,40,62,000
- B.
1,40,65,200
- C.
1,40,56,200
- D.
1,40,62,500
Answer: Option D
Explanation :
Workspace:
What is the value of
1980 ÷ 9 + [- 77 + {- 1980 + ( of 7920)}]?
- A.
1980
- B.
143
- C.
164
- D.
1990
Answer: Option B
Explanation :
Workspace: