Set 2 : Maths Questions
Q.1: A solid metallic hemisphere of radius 6.3 cm is melted and recast into a right circular cylinder of radius 9 cm. What is the height (in cm, correct to one decimal place) of the cylinder?
Q.2: If , then what is the value of ?
Q.3: In a triangle ABC, and AD is perpendicular to BC. If AD = 8.4 cm and BD = 4.8 cm, then the length of BC is:
(A) 19.5 cm
(B) 15 cm
(C) 18 cm
(D) 18.5 cm
Q.4: Tap P can fill a cistern in 6 hours and tap Q can empty the full cistern in 10 hours. If both taps P and Q are kept open simultaneously, then in how many hours will the empty cistern be completely full ?
Q.5: One dozen notebooks quoted at ₹125 are available at 20% discount. How many notebooks can be bought for ₹75 ?
Q.6: A man invests ₹7,000 at 8% per annum simple interest for 2 years and ₹10,000 at compound interest at the sane rate for the same period, compounded annually. What will be the total interest and the total interest and the total amount (in ₹) respectively, on maturity ?
(A) 19,748 and 2,874
(B) 2,748 and 19,784
(C) 19,784 and 2,784
(D) 2,784 and 19,784
Q.7: If (sin A-cos A) =0, then what is the value of cot A ?
Q.8: A boat can travel with a speed of 19 km/h in still water. If the speed of the stream is 3 km/h, then what will be the total time ( in hours) taken by the boat to go 88 km downstream and 24 km upstream ?
Q.9: A is 150% of B and B is 40% of C. If A+B+C=20, then the value of 2B+3C-4A is equal to:
Q.10: The following histogram represents the distribution of household expenditure (in ₹) of 200 manual workers in a city.
(A) 3 : 5
(B) 2 : 5
(C) 4 : 5
(D) 3 : 4
Q.11: Using algebraic identities, simplify the following expression.
(A) (x2 – 2x + 1)
(B) (x2 + x + 1)
(C) (x2 + 2x + 1)
(D) (x2 – x + 1)
Q.12: Students of Primary, Middle, Secondary and Sr. Secondary classes collected donation for a Relief Fund as shown in the pie chart. If the donation collected from Middle classes was ₹6,750 then how much money was collected by the Primary classes ?
Q.13: One quarter of a circular pizza of diameter 28 cm was removed from the whole pizza. What is the perimeter (in cm) of the remaining pizza ? (take
Q.14: The inner and outer radii of two concentric circles are 6.7 cm and 9.5 cm, respectively. What is the difference between their circumferences (in cm) ? Take
Q.15: Study the given graph and answer the question that follows.
Q.16: What is the perimeter (in cm) of an equilateral triangle whose height is 3.46 cm? take .
Q.17: The value of is:
Q.18: The string of a kite is 158 m long and it makes an angle of 30o with the horizontal. What is height (in m) of the kite? Assume there is no slack in the string.
Q.19: If , then what is the value of ? Given that x is real.
Q.20: What is the area (in cm2, correct to one decimal place) of a triangle whose base is 214 cm and height is 15.5 cm?
Q.21: One-fifth of a journey is covered at a speed of km/h, one-fourth of the journey at a speed of 25 km/h and the rest at 60 km/h. What is the average speed (in km/h, correct to one decimal place) for the whole journey?
Q.22: If a + b = p, ab = q, then (a4 + b4) is equal to:
(A) p4 – 2p2q2 + q2
(B) p4 – 4p2q2 + 2q2
(C) p4 – 4p2q + q2
(D) p4 – 4p2q + 2q2
Q.23: What is the greatest five-digit number that is completely divisible by 8, 15, 16, 21 and 5 ?
Q.24: By selling an article for 1,170, Elisa suffers as much loss as she would have gained by selling it at a profit of 22%. If she sells it for 1,450, then her profit/loss per cent (correct up to one decimal place) is:
(A) Profit, 3.3
(B) Loss, 3.3
(C) Loss, 26.2
(D) Profit, 26.2
Q.25: If A : B = 11 : 7 and B : C = 5 : 19, then what is A : B : C ?
(A) 55 : 35 : 133
(B) 35 : 55 : 133
(C) 35 : 133 : 55
(D) 55 : 133 : 35
Maths Questions for SSC CHSL