Time And Work Model Questions & Answers, Practice Test for ssc mts tier 1 2024
ssc mts tier 1 2024 SYLLABUS WISE SUBJECTS MCQs
Number System
Lcm & Hcf
Power, Indices And Surds
Ratio & Proportion
Percentage
Time & Work
Time & Distance
Mensuration
Average
Profit & Loss
Simple Interest
Location of B is north of A and location of C is east of A. The distances AB and AC are 5 km and 12 km respectively. The shortest distance (in km) between the locations B and C is
Answer: (c)
Shortest Distance, BC = $√{5^2 + 12^2}$ = 13 km
A, B and C together earn Rs. 300 per day, while A and C together earn Rs. 188 and B and C together earn Rs. 152. The daily earning of C is:
Answer: (c)
B's daily earning = Rs. (300 – 188) = Rs. 112.
A's daily earning = Rs. (300 – 152) = Rs. 148.
C's daily earning = Rs. [300 – (112 + 148)] = Rs. 40
A thief steals a car at 2 : 30 p.m. and drives it at 60 kmph. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 kmph. When will he overtake the thief ?
Answer: (b)
Here, distance to be covered by the thief and by the owner is same.
Let after 2 : 30 p. m., owner catches the thief in t hrs.
Then, 60 × t = 75 $(t  1/2)⇒t = 5/2$hrs
So, the thief is overtaken at 5 p.m.
Pipe A can fill a tank in 10 min and pipe B can empty it in 15 min. If both the pipes are opened in an empty tank, the time taken to make it full is
Answer: (a)
Part filled by pipe A in 1 min = $1/{10}$
Part empty by pipe B in 1 min = $1/{15}$
∴ Total tank filled in minutes
= $1/{10}  1/{15}  {3  2}/{30} = 1/{30}$
Hence, the tank will be filled in 30 min.
A tyre has two punctures. The first puncture along would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat ?
Answer: (b)
1 minute's work of both the punctures = $(1/9 + 1/6) = 5/{18}$
So, both the punctures will make the tyre flat in ${18}/5 = 3 3/5$ minutes
Alternate Method :
both the Punctures will make the tyre flat in
$({6 × 9}/{6 + 9}) = {54}/{15} = 3 3/5$minutes
ssc mts tier 1 2024 IMPORTANT QUESTION AND ANSWERS

Number System Aptitude Questions For SSC MTS 2024 Paper 1 »

LCM & HCF Aptitude Question Test For SSC MTS 2024 Paper 1 »

Power, Indices & Surds Questions For SSC MTS 2024 Paper 1 »

Ratio and Proportion Questions Answers Test: SSC MTS 2024 »

Percentage Aptitude Question PDF For SSC MTS 2024 Paper 1 »

Time And Work Aptitude Questions For SSC MTS 2024 Paper 1 »

New Time And Distance Aptitude Questions For SSC MTS 2024 »

150+ Mensuration Aptitude Questions Test For SSC MTS 2024 »

Top Average Aptitude MCQ Practice Exercises PDF for SSC »

Top Profit Loss Aptitude Practice Exercises, PDF for SSC »

Simple Interest Practice Exercise, Solutions Pdf for SSC »
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