Set : 6 Maths Questions for SSC CHSL
Q.1: A sum of ₹ x is divided among A, B and C such that the ratio of the shares of A and C is 8 : 7 and that of B and C is 3 : 2. If the difference between the shares of A and B is ₹ 240, then what is the value of x ?
Q.2: If a pair of shoes marked at ₹350 is offered at ₹308, then what will be the discount percentage?
Q.3: In AD is the bisector of meeting BC at D, If AB = 15 cm, BC = 10 cm and the length of BD is 2 cm less than that of DC, then the length of AC is:
(A) 18.5 cm
(B) 18 cm
(C) 16 cm
(D) 22.5 cm
Q.4: Simplify the following expression.
Q.5: The value of cosec + sin15osin35osec55osin30osec75o is :
Q.6: Some persons went on an outstation tour. The histogram shows their ages. How many persons are less than 20 years of age?
Q.7: Study the given and answer the question that follows.
The total production of paper by company B in 2015 and 2017 to 2019 was what percentage less than 90% of the total production of paper by company A in 2014 to 2019 (correct to one decimal place)?
Q.8: In and E are points on AB and BC, respectively, such that DE is parallel to AC. If DE = 3 cm. AC = 5 cm and the area of trapezium ACED = 32 cm2 , then what will be the area of ?
(C) 16 cm2
(D) 18 cm2
Q.9: Study the given pie chart and answer the question that follows.
Total number of students admitted in a college = 700.
Distribution of the percentage of students in various caurses.
Percentage-wise distribution of the number of boys.
|Course||Number of boys|
|B. Sc. Maths||40%|
|B. Sc. Physics||68%|
|B. Sc. Chemistry||58%|
|B. Sc. Computer Science||80%|
(A) 3 : 7
(B) 4 : 7
(C) 3 : 5
(D) 2 : 5
Q10: In a circle with centre O and radius 6.5 cm, a chord AB is at a distance 2.5 cm from the centre. If tangents at A and B intersect at P, then find the distance of P from the centre.
(A) 16.9 cm
(B) 18 cm
(C) 15 cm
(D) 17 cm
Q.11: What is the compound interest (in ₹) on a sum of ₹46,000 for years at 15% per annum, interest being compounded annually ( nearest to a ₹) ?
Q.12: If , then what will be the value of x4 +?
Q.13: If 3x – 2y + 3 = 0 , then what will be the value of 27 x3 + 54xy + 30 – 8y3 ?
Q.14: Chords AB and CD of a circle meet at point P (outside the circle), when produced, If AB = 9 cm, PB = AB and CD = 5 cm, then the length of PD (in cm ) is:
Q.15: By selling an article for ₹3,150, a shopkeeper earns 5% profit. For how much money should he sell the article in order to gain 8% ?
Q.16: Given that , the value of (A2 + B2 – C2) is:
Q.17: A solid metallic sphere of radius 12 cm is melted and recast in the form of small spheres of radius 2 cm. How many small spheres are formed ?
Q.18: A tap can fill a tank in 4 hours. Another tap can fill the same tank in 6 hours. If both the taps are opened at the same time, then in how much time will the empty tank be filled completely?
(A) 2 h 30 min
(B) 2 h 24 min
(C) 3 h
(D) 2 h
Q.19: If is an acute angle, then what will be the value of ?
Q.20: A boat can go 15 km downstream and 8 km upstream in 2 h. It can go 20 km downstream and 12 km upstream in 2 h 50 min. What is the speed (in km/h ) of the boat while going downstream?
Q.21: Study the given pie chart and answer the question that follows.
The pie chart shows the distribution (degree wise) of the number of computers sold by a shopkeeper during five months.
If the difference between the numbers of computers sold in May and the numbers of computers sold in February is x, then the value of x will be:
Q.22: The average of 40 numbers is 48.2. The average of the first 15 numbers is 45 and that of the next 22 numbers is 50.5. The 38th and 40th numbers ?
Q.23: If the five-digit number 457 ab is divisible by 3, 7 and 11, then what is the value of a2 + b2 – ab ?
Q.25: If , then what will be the value of ?
Thanks for attempt Maths Questions