1000+ Maths Aptitude Test Questions and Answers Pdf - 1
Question: 1
A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A, B and C work together, they will complete the work in
(A) 5 days
(B) 7 days
(C) 9 days
(D) 10 days
Ans: D
(A + B)’s 1 day’s work = $${1}/{12}$$;
(B + C)’s 1’s day work = $${1}/{15}$$;
(A + C)’s 1’s day’s work = $${1}/{20}$$.
Adding, we get : 2 (A + B + C)’s 1 day’s work = $$({1/12} + {1/15} + {1/20})$$ = $${12}/{60}$$ = $${1}/{5}$$.
∴ (A + B + C)’s 1 day’s work = $${1}/{10}$$.
So, A, B and C together can complete the work in 10 days.
Question: 2
A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work?
(A) 25 days
(B) 27 days
(C) 28 days
(D) 30 days
Ans: B
(A’s 1 day’s work) : (B’s 1 day’s work) = 2 : 1.
(A + B)’s 1 day’s work = $${1}/{18}$$
Divide $${1}/{18}$$ in the ratio 2 : 1.
∴ A’s 1 day’s work = $$({1/18} × {2/3})$$ = $${1}/{27}$$.
Hence, A alone can finish the work in 27 days.
Question: 3
Amit and Sujit together can complete an assignment of data entry in five days. Sujit’s speed is 80% of Amit’s speed and the total key depressions is the assignment are 5,76,000. What is Amit’s speed in key depressions per hour if they work for 8 hours a day?
(A) 4800
(B) 6400
(C) 7200
(D) 8000
Ans: D
Ratio of the work done by Sujit and Amit = 4 : 5
Total key depression done by Amit
= $${5}/{9} × 576000$$ = 3,20,000
Amit’s speed in key depression per hour = $${320000} / {8 × 5}$$ = 8000.
Question: 4
A can do a certain work in 12 days, B is 60% more efficient than A. How many days will B and A together take to do the same job?
(A) $${60}/{13}$$
(B) $${70}/{13}$$
(C) $${75}/{13}$$
(D) $${80}/{13}$$
Ans: A
Time taken by B in completing the work = $$(12 × 100 / 160)$$ = $${15}/{2}$$ days.
∴ (A + B)’s 1 day’s work = $${1/12} + {2/15}$$ = $${5 + 8} / {60}$$ = $${13}/ {60}$$.
Hence the work will be completed in $${60}/{13}$$ days.
Question: 5
56 men can complete a piece of work in 24 days. In how many days can 42 men complete the same piece of work?
(A) 18
(B) 32
(C) 48
(D) 98
Ans: B
Required number of days = $$24{56}/{42}$$ = 32.
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