SSC CHSL 24th May Shift 2 - QA
Inside a triangle ABC, a straight line parallel to BC intersects AB and AC at the points P and Q, respectively. If AB = 6PB, then PQ ∶ BC is _________.
- A.
5 : 4
- B.
2 : 6
- C.
5 : 6
- D.
3 : 4
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ReportWhich of the following numbers is divisible by 7?
- A.
3661
- B.
3915
- C.
3659
- D.
3739
Find the approximate percentage increase in sales from 2002 to 2003?
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- A.
24.45%
- B.
19.4%
- C.
54%
- D.
33.3%
If a + b = 12 and ab = 35, find the value of a4 + b4 - 103?
- A.
1226
- B.
2026
- C.
2226
- D.
2126
The heights of 48 students of a class are shown in the following table.
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What is the percentage of students whose height is more than 160 cm?
- A.
33.3%
- B.
37.5%
- C.
66.6%
- D.
62.5%
The population of a village is 9,000. If the annual birth rate is 12.5% and the annual death rate is 2.5%, calculate the population after three years.
- A.
11979
- B.
10959
- C.
12256
- D.
10755
A man can row 5 km/h in still water. If the speed of the current is 2.5 km/h, it takes 4 hours more in upstream than in the downstream for the same distance. The distance is:
- A.
15 km
- B.
7.5 km
- C.
12 km
- D.
10.5 km
Simplify:
3p - [3p - p + q - {3p - {- q - p)}]
- A.
2p + 2q
- B.
3p - q
- C.
3p + 2q
- D.
p + 2q
If base radius and height of a cylinder are 4 cm and 5 cm, respectively, then find the curved surface area of the cylinder
[use π = 3.14].
- A.
125.6 cm2
- B.
129.8 cm2
- C.
119.6 cm2
- D.
138 cm2
Find the volume of a hemisphere whose diameter is 6 cm. (Take π = 22/7)
- A.
36π cm3
- B.
144π cm3
- C.
48π cm3
- D.
18π cm3
A shopkeeper marks up his goods by 30% and then gives a discount of 10% on the marked price. Apart from this, he uses a faulty balance which reads 1 kg for 870 g. What is his net profit percentage?
- A.
38.24%
- B.
34.84%
- C.
34.48%
- D.
38.42%
A trader marks his goods at 45% above the cost price. He offers a discount of 21% to his customers. What is his percentage profit (rounded off to the nearest integer)?
- A.
14%
- B.
15%
- C.
18%
- D.
12%
A man P purchased a land for ₹4,32,000 on the outskirts of a city. Due to some reason, its value depreciated at 25% per annum and he sold it to Q after 2 years. At this time, the city expanded and new projects of infrastructures started coming up. As a result of the expansion, there was an appreciation of real estate prices at the rate of 50%. What would be the value (in ₹) of the land after 2 years, from the time Q bought the land from P?
- A.
₹5,46,750
- B.
₹6,05,070
- C.
₹5,76,450
- D.
₹5,57,450
If the volume of a cube is 27 m3, find its surface area (in m2).
- A.
24
- B.
54
- C.
27
- D.
9
A new mobile is introduced into the market and is marked at 25% above its original cost price. What discount should be given on the marked price to gain a profit of 20%?
- A.
5%
- B.
10%
- C.
4%
- D.
2.50%
The value of 11 ÷ [1 + 1 ÷ {1 + 1 ÷ (1 + 1 ÷ 3)}] is:
- A.
11
- B.
1
- C.
9
- D.
7
If 2a + b = 10, 2ab = 9, and 2a > b, then find the value of 2a - b.
- A.
12
- B.
6
- C.
8
- D.
10
A and B together can do a piece of work in 12 days, while A alone can complete the same work in 18 days. How long will B alone take to complete the work?
- A.
36 days
- B.
6 days
- C.
24 days
- D.
12 days
The table below gives the numbers of seats own in the local body elections in a state by different political parties in the years 2019 and 2014 .
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Find the ratio of the total number of seats won by Con party in 2014, Kanta Dal in 2019, and the Shiv Party in 2019 taken together to the number of seats won by AGP in 2014.
- A.
77 : 282
- B.
145 : 77
- C.
283 : 77
- D.
77 : 141
Find the mean proportion of 3 and 27.
- A.
6
- B.
5
- C.
10
- D.
9
In an election between two candidates, Ravi gets 65% of total valid votes. If total votes were 6000, what is the number of valid votes that the other candidate Sushil gets, if 25% of total votes were invalid?
- A.
1625
- B.
1575
- C.
1525
- D.
1775
Shovik purchases two types of sugar: the first type at Rs.45 per kg and the second type at Rs.80 per kg. In what ratio should Shovik blend the first type of sugar with the second type so that, by selling each kg of the blended sugar at Rs.72 per kg, he makes a profit of 20%?
- A.
4 : 3
- B.
3 : 4
- C.
5 : 4
- D.
3 : 2
Find the average of the following data :
1, 2, 3, 5, 17, 21 and 28
- A.
12
- B.
9
- C.
13
- D.
11
sin (-4) = ?
- A.
sin A
- B.
cos A
- C.
-cos A
- D.
-sin A
In a test, the average score of 50 students is 66. Out of the total students, 40% are girls and the rest are boys. The average score of the boys is 20% less than that of the girls. What is the average score of the girls?
- A.
80
- B.
65
- C.
75
- D.
70