SSC CGL 2024-19.09.2024-2 SSC Question Paper

SSC CGL 2024-19.09.2024-2 SSC Questions

51.
Quantitative Aptitude
` The maximum value of (2Sinθ+3Cosθ) is ?
A.
√17
B.
√11
C.
9
D.
√13
ANSWER :
D. √13
52.
The radius of the circle is 10 cm and the perpendicular distance from the chord to the centre is 6 cm. The length of the chord is:
A.
1. 16 cm
B.
2. 12 cm
C.
3. 14 cm
D.
4. 18 cm
ANSWER :
A. 1. 16 cm
53.
Simplify the following expression.
A.
1. 16
B.
2. 4
C.
3. 8
D.
4. 12
ANSWER :
D. 4. 12
54.
If [x+(1/x)]=7, x>0. The positive value of [x-(1/x)] is ?
A.
5√4
B.
5√5
C.
3√5
D.
4√5
ANSWER :
C. 3√5
55.
A shopkeeper sells rice at the rate of ₹44 per kg whose cost price is ₹40 per kg. Not satisfied with this, he tries to increase his profit by removing 200 grams of rice from each packet. What is the shopkeeper’s overall gain percentage?
A.
35%
B.
37.5%
C.
37%
D.
35.5%
ANSWER :
B. 37.5%
56.
The following bar graph shows the sales of a company (in₹ crore) in different years. Study the graph and answer the question. The mean of the highest and lowest sales (in₹ crore) is:
A.
1. 326.7
B.
2. 394.5
C.
3. 484.2
D.
4. 412.3
ANSWER :
B. 2. 394.5
57.
Three years ago, the age of a person was six times the age of his younger brother. Eight years later, the age of the person will be three years less than twice the age of his younger brother. Find the present ages of the person and his younger brother.
A.
1. 15 years and 5 years
B.
2. 5 years and 15 years
C.
3. 12 years and 4 years
D.
4. 4 years and 12 years
ANSWER :
A. 1. 15 years and 5 years
58.
An article marked for ₹275 is sold at 5% discount. The seller still gains 4.5%. What did he pay for it?
A.
1. ₹250
B.
2. ₹125
C.
3. ₹200
D.
4. ₹225
ANSWER :
A. 1. ₹250
59.
PQ and RS are common tangents to two circles intersecting at A and B. A and B, when produced on both the sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm and XY = 5 cm, then PQ is ________.
A.
1. 5 cm
B.
2. 3 cm
C.
3. 6 cm
D.
4. 4 cm
ANSWER :
D. 4. 4 cm
60.
At a school building, there is an overhead tank. To fill this tank 50 buckets of water are required. Assume that the capacity of the bucket is reduced to two-fifth of the present. How many buckets of water are required to fill the same tank?
A.
1. 62.5
B.
2. 20
C.
3. 125
D.
4. 60
ANSWER :
C. 3. 125