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 ?
(A) 2544
(B) 2580
(C) 2490
(D) 2448
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Q.2: If a pair of shoes marked at ₹350 is offered at ₹308, then what will be the discount percentage?
(A) 42%
(B) 13.6%
(C) 12%
(D) 14%
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Q.3: In $latex \triangle ABC,$ AD is the bisector of $latex \angle A$ 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
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Q.4: Simplify the following expression.
$latex \dfrac{13\frac 79\div\frac23 \text{of} \frac13 + \frac23\times 3}{\frac 75 \text{of} 325 – 20 + 7}$
(A) $latex \frac{40}{1989}$
(B) $latex \frac{31}{2210}$
(C) $latex \frac{32}{221}$
(D) $latex \frac{33}{217}$
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Q.5: The value of cosec $latex (58^o + \theta)-sec(32^o – \theta)$ + sin15osin35osec55osin30osec75o is :
(A) 1
(B) 2
(C) $latex \frac12$
(D) 0
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Q.6: Some persons went on an outstation tour. The histogram shows their ages. How many persons are less than 20 years of age?
(A) 22
(B) 31
(C) 25
(D) 18
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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)?
(A) 22.4%
(B) 19.6%
(C) 21.2%
(D) 17.5%
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Q.8: In $latex \triangle ABC, D$ 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 $latex \triangle BDE$ ?
(A) $latex \frac {144}{17}$cm2
(B) $latex \frac {48}{5}$cm2
(C) 16 cm2
(D) 18 cm2
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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% |
| B. Com | 75% |
| BBA | 65% |
(A) 3 : 7
(B) 4 : 7
(C) 3 : 5
(D) 2 : 5
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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
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Q.11: What is the compound interest (in ₹) on a sum of ₹46,000 for $latex 2\frac 25$ years at 15% per annum, interest being compounded annually ( nearest to a ₹) ?
(A) 18,458
(B) 18,485
(C) 19,485
(D) 19,458
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Q.12: If $latex \sqrt x + \frac {1}{\sqrt x} =2\sqrt{3}$, then what will be the value of x4 +$latex \frac {1}{x^4}$?
(A) 10402
(B) 9606
(C) 9602
(D) 10406
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Q.13: If 3x – 2y + 3 = 0 , then what will be the value of 27 x3 + 54xy + 30 – 8y3 ?
(A) -27
(B) 57
(C) -57
(D) 3
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Q.14: Chords AB and CD of a circle meet at point P (outside the circle), when produced, If AB = 9 cm, PB =$latex \frac 13$ AB and CD = 5 cm, then the length of PD (in cm ) is:
(A) 7
(B) 6
(C) 5
(D) 4
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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% ?
(A) ₹3,240
(B) ₹3,180
(C) ₹3,200
(D) ₹3,250
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Q.16: Given that $latex 3\sqrt{3x^3} – 8y^3 = (\sqrt3x + Ay) (3x^2 + By^2 + Cxy)$ , the value of (A2 + B2 – C2) is:
(A) 4
(B) 8
(C) 12
(D) 0
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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 ?
(A) 24
(B) 96
(C) 864
(D) 216
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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
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Q.19: If $latex tan 3 \theta = sin45^o.cos45^o + cos60^o \text{and} 3\theta$ is an acute angle, then what will be the value of $latex sin4 \theta$?
(A) $latex \frac {\sqrt 3} {2}$
(B) $latex \frac {1} {\sqrt2}$
(C) $latex \frac 12$
(D) 1
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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?
(A) 16
(B) 15
(C) 20
(D) 18
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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:
(A) 450
(B) 480
(C) 540
(D) 420
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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 ?
(A) 48
(B) 49
(C) 47.5
(D) 48.5
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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 ?
(A) 49
(B) 36
(C) 24
(D) 33
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Q.24:
(A) 62.5%
(B) 37.98%
(C) 61.25%
(D) 51.6%
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Q.25: If $latex tan \theta + cot \theta = 3$ , then what will be the value of $latex tan^2 \theta + cot^2 \theta$?
(A) 1
(B) 7
(C) 11
(D) -1
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Thanks for attempt Maths Questions