SSC CGL 2024-18.09.2024-3 SSC Question Paper

SSC CGL 2024-18.09.2024-3 SSC Questions

61.

sinA sinB=______________

A.

\(\frac{1}{2}\{\sin(A + B) + \sin(A - B)\}\)

B.

\(\frac{1}{2}\{\sin(A + B) - \sin(A - B)\}\)

C.

\(\frac{1}{2}\{\cos(A + B) - \cos(A - B)\}\)

D.

\(\frac{1}{2}\{\cos(A - B) - \cos(A + B)\}\)

ANSWER :

D. \(\frac{1}{2}\{\cos(A - B) - \cos(A + B)\}\)

62.
An investor, invested ₹2,00,000 in shares. The shares rose by 18% on the first day, fell by 15% on the second day, and then fell by 3% on the third day. What is the net percentage increase or decrease in the value of the investor's shares? (Rounded up to one decimal place)
A.
increase by 2.2%
B.
increase by 2.7%
C.
decrease by 2.7%
D.
decrease by 2.2%
ANSWER :
C. decrease by 2.7%
63.

The following table shows the expenditure of a company (in ₹ lakh) per annum over the given years. Study the table and answer the question that follows.

Swipe →
Year Salary Bonus Interest on loans Fuel and transport Taxes
2005 348 3.00 25.0 110 75
2006 405 4.25 28.5 145 90
2007 458 4.50 30.5 120 120
2008 389 4.85 38.0 168 100
2009 425 4.90 48.5 190 140

The total amount of bonus paid by the company during the given period is what percentage of the total amount of fuels and transport paid during this period (correct to two places of decimals)?

A.

3.92%

B.

2.39%

C.

3.29%

D.

2.93%

ANSWER :

D. 2.93%

64.
If we extend a chord infinitely on both sides, then the chord becomes a _____________.
A.
diameter
B.
tangent
C.
secant
D.
normal
ANSWER :
C. secant
65.
Aman borrows a sum of ₹192208 at the rate of 15% per annum simple interest. At the end of the first year, he repays ₹20196 towards return of principal amount borrowed. If Aman clears all pending dues at the end of the second year, including interest payment that accrued during the first year, how much does he pay (in ₹) at the end of the second year?
A.
226645
B.
221777
C.
221757
D.
230028
ANSWER :
A. 226645
66.
A seller sold 19 cookies for ₹95 instead of 20 cookies in one kg, cheating a customer. What is the gain (in ₹) if the seller bought the cookies for ₹76?
A.
28.2
B.
26.2
C.
22.8
D.
25.8
ANSWER :
C. 22.8
67.

Find the area (in cm2) of the sector, where the radius of the circle is 24 cm and length of the arc is 7 cm.

A.

72

B.

84

C.

48

D.

168

ANSWER :

B. 84

68.
If the selling price of an article is ₹1,792 after a 20% discount, then the marked price of the article is:
A.
2140
B.
2240
C.
2160
D.
2260
ANSWER :
B. 2240
69.
Pipe Q can fill the tank in 60 hours while pipe R may fill in 45 hours. Q and R pipes are opened together for 6 hours after which pipe W is also opened to empty the tank. All three pipes are opened simultaneously for 24 hours to reach the half level mark. How much time (in hours) will pipe W alone take to empty the entire tank?
A.
48
B.
42
C.
36
D.
30
ANSWER :
C. 36
70.

Study the given table and answer the question that follows. The table represents the number of scooters (in thousands) manufactured by four companies A, B, C, and D from the period 2012 to 2015.

Swipe →
Years A B C D
2012 360 420 380 520
2013 580 940 570 980
2014 1000 780 1020 1090
2015 1240 950 1180 1660

The average number of scooters produced by company D is what percent (rounded off to 2 decimal places) more than the combined average number of scooters produced by the three companies A, B, and C? 

A.

52.75%

B.

27.25%

C.

44.66%

D.

35.35%

ANSWER :

D. 35.35%