SSC CGL 12th April Shift 3 - QA
tan2 A + 5 sec A = 13, where 0 < A < 90°. Solve for A (in degrees).
- A.
0
- B.
60
- C.
45
- D.
30
Answer: Option B
Explanation :
Workspace:
In △ABC, AD is perpendicular to B and AE is the bisector of ∠BAC . If ∠ABC = 58° and ∠ACB = 34°, then find the measure of ∠DAE.
- A.
12°
- B.
11°
- C.
22°
- D.
15°
Answer: Option A
Explanation :
Workspace:
In a circle with centre O, AC and BD are two chords. AC and BD meet at E, when produced. If AB is a diameter and ∠AEB = 36°. then the measure of DOC is:
- A.
112°
- B.
124°
- C.
136°
- D.
108°
Answer: Option D
Explanation :
Workspace:
If 8 + 15 - 2 = 0, then the positive value of is:
- A.
2
- B.
2
- C.
8
- D.
8
Answer: Option A
Explanation :
Workspace:
If 2k sin 30° cos 30° cot 60° = , then find the value of k.
- A.
- B.
3
- C.
1
- D.
6
Answer: Option B
Explanation :
Workspace:
A, B and C invested ₹40,000, 48,000 and ₹80,000, respectively, for a business at the start of a year. After six months, for the remaining time of the year. A added ₹4,000, B added ₹4,000 while C withdrew ₹4,000 every month. If the total profit is ₹6,72,000, then what is C's share (in ₹)?
- A.
1,96,750
- B.
1,80,480
- C.
2,11,200
- D.
2,80,320
Answer: Option D
Explanation :
Workspace:
The average of 15 numbers is 30, while the average of 13 of these numbers is 31. If the remaining two numbers are equal, then what is each of the two numbers?
- A.
34
- B.
31
- C.
17
- D.
16
Answer: Option C
Explanation :
Workspace:
A certain sum on simple interest becomes ₹49,600 in 3 years and ₹56,000 in 5 years. If the rate of interest had been 2%, more, then in how many years would the sum have doubled:
- A.
10
- B.
8
- C.
12
- D.
20
Answer: Option A
Explanation :
Workspace:
In a circle, ABCD is a cyclic quadrilateral. AC and BD intersect each other at P. If AB = AC and ∠BAC = 48°, then the measure of ∠ADC is
- A.
104°
- B.
112°
- C.
132°
- D.
114°
Answer: Option D
Explanation :
Workspace:
Five men and 2 boys can do in 30 days as much work as 7 men and 10 boys can do in 15 days. How many boys should join 40 men to do the same work in 4 days?
- A.
10
- B.
15
- C.
12
- D.
14
Answer: Option A
Explanation :
Workspace:
If 8A5146B is divisible by 88, then what is the value of BA?
- A.
81
- B.
64
- C.
15
- D.
12
Answer: Option B
Explanation :
Workspace:
The angles of a triangle are (8x - 15)°, (6x - 11)° and (4x - 10)°. What is the value of x?
- A.
12
- B.
16
- C.
15
- D.
18
Answer: Option A
Explanation :
Workspace:
If x - y + z = 0, then find the value of - -
- A.
- B.
- C.
-6
- D.
Answer: Option A
Explanation :
Workspace:
The value of
- - [2 ÷ 3 of 1 + {1 - (3 - 1 - )}] is:
- A.
- B.
-
- C.
- D.
Answer: Option B
Explanation :
Workspace:
A journey of 900 km is completed in 11 h. If two-fifth of the journey is completed at the speed of 60 km/h. at what speed (in km/h) is the remaining journey completed?
- A.
108
- B.
72
- C.
84
- D.
90
Answer: Option A
Explanation :
Workspace:
From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the tower is 110 m high, what is the distance (in m) of point P from the foot of the tower?
- A.
330
- B.
220
- C.
115
- D.
110
Answer: Option A
Explanation :
Workspace:
The following histogram shows the marks scored by 40 students in a test of 30 marks. A student has to score a minimum of 10 marks to pass the test.
What is the percentage of students who scored 20 or more marks? (correct to one decimal place)
- A.
15%
- B.
57.5%
- C.
55%
- D.
37.5%
Answer: Option D
Explanation :
Workspace:
How many small solid spheres each of 5 mm radius can be made out of a metallic solid cone whose base has radius 21 cm and height 30 cm?
- A.
32000
- B.
26460
- C.
25000
- D.
18260
Answer: Option B
Explanation :
Workspace:
The given pie chart shows the percentage of students in five schools and the table shows the ratio of boys and girls in each school.
Study the pie chart and table and answer the question that follows
The below table shows the ratio of girls and boys in given five schools.
If the total number of girls from all five schools is represented as a pie chart, then what will be the measure of the sector angle (to the nearest integer) corresponding to school B?
- A.
48°
- B.
32°
- C.
58°
- D.
42°
Answer: Option D
Explanation :
Workspace:
A and B are two prime numbers such that A > B aud their LCM is 209. The value of A2 - B is:
- A.
350
- B.
372
- C.
361
- D.
339
Answer: Option A
Explanation :
Workspace:
A dealer allows his customers a discount of 18%, and still gains 24%. If an article costs ₹1,560 to the dealer, what is its marked price (to the nearest ₹)?
- A.
2,565
- B.
2,024
- C.
2,168
- D.
2,359
Answer: Option D
Explanation :
Workspace:
The following bar graph shows receipts and expenditure of a business firm over 5 years. Gain-Receipts- Expenditure.
What is the increase percentage in receipts from 2017 to 2018?
- A.
6.6
- B.
25
- C.
2.5
- D.
20
Answer: Option B
Explanation :
Workspace:
A person's salary was decreased by 50% and subsequently increased by 50% and then again increased by 100%. How much percentage does he lose or gain?
- A.
Loss of 40%
- B.
Gain of 50%
- C.
Gain of 25%
- D.
Loss of 10%
Answer: Option B
Explanation :
Workspace:
The following bar graph shows the number of youth (in lakhs) and the number of employed youth (in lakhs) in five states A, B, C, D and E.
Which state(s) has employed youth less than 80% of its total youth population?
- A.
D
- B.
B and D
- C.
C and D
- D.
A
Answer: Option A
Explanation :
Workspace:
Aditya sells two wrist watches from his personal collection for ₹12,600 each. On the first watch, he gains 26% and, on the second, he loses 10%. Find the overall gain or loss percentage.
- A.
Gain of 16%
- B.
Gain of 5%
- C.
Loss of 5%
- D.
Gain of 12%
Answer: Option B
Explanation :
Workspace: