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Quantitative Aptitude- Arithmetics Questions Asked in IBPS PO mains 2016 With answer & explanations

# Quantitative Aptitude- Arithmetics Questions Asked in IBPS PO mains 2016 With answer & explanations

Q1. The average age of Sheela, Ram and Monan is 38 years . 2 year ago, average age of Sheela and Ram is 39. 2 year hence, average age of Hema and Mohan is 45. Find the present age of Hema
(a)    52 years (b) 54 years  (c) 50 years (d) 48 years (e) None of these

Explanation : Total age of Sheela , ram & Mohan is = (38 * 3)= 114
Present age of Shella & Ram =(39*2)+4 =82    So age of Mohan  is 32
Present age of Hema & Mohan is =(45 *2)-4= 86
So age of Hema is = (86-32)= 54

Q2. A started a business , Band C joined him in the 1st year ,they invested in the ratio of 5:4:7 respectively and the period for which they invested was in the ratio of 4:3:2 respectively. In the 2nd year , A doubled the investment, B and C continued with the same investment as they investor for the same no of month as they did in 1st year. The total profit in 2 years was 14000. What is B’s share of profit.?
(a) Rs 2500    (b) Rs 3000 (c) Rs 3500    (d) Rs 4000 (e) none of these

Explanation     A : B : C =  {(5*4) + (10 *4) } : {(4*3) + (4*3)} : {(7 *2)+ (7*2) =15 :6:7
So B’s share profit  =14000 *(6/28)

3. The ratio of work done by 30 women to the work done by 25 men, in the same time is 5:6.  If 9 women and 10 men can finish a work in 3 (1/13)  days. Then how many women can finish the work in 4.5  days?
(a)18     (b)16 (c)20     (d)25

Let x woman can finish the work in 4.5 days
Ratio of Women :men= 30 *6  : 25 *5 = 36 :25
So 36 women= 25 men   ∴1 men= 36/25 women
10 men =72/5 women             so 9 women + 10 men =117/5 women
So  (117/5) * (40/3) = 4.5 * x           ∴ x= 16 days

Q4. A laptop costs 15 times as compared to cost of a mouse. On each laptop there is a profit of 25%. While the total profit on selling a mouse and a laptop is 30%. If there is a profit of Rs 2100 on selling the mouse then find the cost price of a laptop?
(a)Rs30000     (b)Rs2000 (c)Rs32000     (d)Rs35000 (e)none of these
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Tricks – check option      Ans – should be divided by 15     So ans is 30000

Q5. The marked price of a shirt and a trouser are in the ratio 1 : 2. The shopkeeper gives 40% discount on the shirt. If the total discount on the shirt and trousers is 30%, the discount offered on the trousers is
(a) 15%   (b) 20% (c) 25%   (d) 30%

Let MP of shirt = 100 Trouser 200
After discount price of shirt = 60
After total discount , price of shirt & trousers= 300-(300 *30/100)=210    discount in trousers =30
So discount in trousers is = (30 *100)/200= 15  So 15 %

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