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Q1. A student finds the average of ten 2-digit numbers. While copying numbers, by mistake, he writes one number with its digits interchanged. As a result, his answer is 1.8 less than the correct answer. The difference of the digits of the number, in which he made mistake, is

(a)  2          (b) 3                          (c) 4                (d) 6               (e) None of these

Q2.  A contractor undertook to complete a project in 90 days and employed 60 men on it. After 60 days, he found that of the work has already been completed. How many men can he discharge so that the project may be completed exactly on time?

(a) 40             (b) 20             (c) 30                         (d) 15             (e) None of these

Q3.  A and B entered into partnership with Rs 700 and Rs 600 respectively. After 3 months A withdrew 2/7 of his stock but after 3 months more he put back 3/5 of what he had withdrawn. The profits at the end of the year are Rs 726, how much of this should A receive?

(a) Rs 633     (b) Rs 336    (c) Rs663      (d) Rs 366     (e) None of these

Q4.  There were 36 students in a hostel. If the number of students increases by 4, the expenses of the mess increase by Rs 32 per day while the average expenditure per head diminishes by Re 1. Find the original expenditure of the mess.

(a) Rs 640     (b) Rs648     (c) Rs 650     (d) Rs 658     (e) None of these

Q5.  A, B and C can complete a piece of work in 10, 12 and 15 days respectively. A left the work 5 days before the work was completed and B left 2 days after A had left. Number of days required to complete the whole work was:

(a) 8 days      (b) 6 days    (c) 6 days      (d) 7 days    (e) None of these

The following questions are accompanied by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the questions.(Q6 – Q8).

Q6.The ratio of the ages of Javed and Akhtar is 6 :11. Find out the ratio of their ages 5 years ago.
A. The difference of their ages is 25 years.
B. The difference of their ages after 5 years will be 25 years.
C. The sum of their ages is 85 years

(a) Only A and C together are sufficient
(b) Anyone of A, B and C is sufficient
(c) Only A and B together are sufficient
(d) Any two of A, B and C are sufficient

(e) All together are necessary

Q7.8 men and 6 women can complete a piece of work in 21 days. How many days will it take for 12 men and 9 women to complete the same work?
A. 6 men can complete the work in 42 days.
B. 7 women can complete the work in 63 days.
C. The amount of work done by a woman is four-sevenths of the work done by a man in one day.

(a) Any two of them
(b) Any of them
(c) Only C
(d) Either A or B only
(e) No need of any information

Q8.A train crosses another train in 10 sec. Find out the lengths of the trains.
A. Ratio between the lengths the of second and first train is 4 : 5.
B. Ratio between the speed of first and second trains is 1 : 2.
C. The speed of first train is 36 km/hr.

(a) Only A and B together
(b) Only B and C together
(c) Only A and C together
(d) Questions can’t be answered even after using all the information
(e) None of these

Q9.The CP of two dozen mangoes is Rs32 , after selling 18 mangoes at 12 Rs per dozen ,the shopkeeper reduced the rate as Rs 4 per dozen. Then find the loss percentage?

(a) 15                         (b) 20             (c) 25            (d) 37.5           (e) None

Q10.A is twice as fast as B & B is trice as fast as C. The journey covered by C in 42 min. Will be covered by B in ?

(a) 14 min     (b) 4 min      (c) 5 min       (d) 8 min       (e) 6 min

Solution:

Q1.SOL:   A

Let the two-digit number = 10x + y
10x + y – x – 10y = 1.8 * 10
9x – 9y = 18
x – y = 2

Q2. SOL:   B
Let Required men = x
(60 * 60) / (¾) = {(60-x) *30} / (1/4)
40 = 60 – x
X = 20

Q3. SOL:   D
A = 3 * 700 + 3 * 500 + 6 * 620
B = 600 * 12
I,e; A = 7320 = 366 = 183
B = 7200 = 360 = 180
Ratio of investment = 183: 180
Amount A receive = (183 / 363) * 726 = 183 * 2 = 366 Rs.

Q4. SOL:   B
Let the expense of mess for student be x
(x – 1) * 40 – 36x = 32
40x – 40 - 36x = 32
4x = 72
X = 18
Required expense = 18 * 36 = 648 Rs.

Q5. SOL:  D
Let required no. of days = x
(x-5)/10 + (x- 3)/12 + x/15 = 1
(6x-30+5x-15+4x)/60 = 1
15x – 45 = 60
15x = 105
X = 7 Days

Q.6 SOL: B
J:A = 6: 11
A)    11x – 6x = 25; so we can find ratio of age 5 year ago.
B)    (11x+5) – (6x+5) = 25
C)    11x + 8x = 85

Q7. SOL:   E
8M + 6W = 1/21
1.5(8M + 6W) = 1.5 * (1/21)
12M + 9W = 1/14
Work will be completed in 14 days; No need of any information.

Q.8 SOL:   D
Question can’t be answered because direction of movement of the trains are not given

Q.9 SOL:   D
Total CP = 32
Total SP = 12 + 6 + 2 = 20
Loss percentage =12/32×100 = 37.5%

Q.10 SOL:   A

A  → 6X
B  → 3X
→   X

Ratio of their speeds = 6 : 3 : 1
Ratio of their time = 1/6:1/3:1/1 = 1 : 2 : 6

Time taken by B = (42/6)×2 = 14min

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