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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