CAT Practice Question and Answer
8Q: Find the principal if the interest compounded at the rate of 10% per annum for two years is Rs. 420 ? 1289 05b5cc701e4d2b4197774f17a
5b5cc701e4d2b4197774f17a- 1Rs. 2000true
- 2Rs. 2100false
- 3Rs. 1900false
- 4Rs. 2150false
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Answer : 1. "Rs. 2000"
Explanation :
Answer: A) Rs. 2000 Explanation: Given, Compound rate, R = 10% per annumTime = 2 yearsC.I = Rs. 420Let P be the required principal.A = (P+C.I)Amount, A = P1 + r100n (P+C.I) = P1 + 101002 (P+420) = P[11/10][11/10] P-1.21P = -420 0.21P = 420 Hence, P = 420/0.21 = Rs. 2000
Q: In what time will Rs. 3300 becomes Rs. 3399 at 6% per annum interest compounded half-yearly ? 2836 05b5cc701e4d2b4197774f175
5b5cc701e4d2b4197774f175- 1Quarter monthsfalse
- 2Half yeartrue
- 32 yearsfalse
- 41 yearfalse
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Answer : 2. "Half year"
Explanation :
Answer: B) Half year Explanation: 3300 ----- 3% ↑ (1st time interval, 99) → 3399. Here, time interval is given as half-yearly i.e. 6 months.
Q: Kalyan purchased a Maruti van for Rs. 1,96,000 and the rate of depreciation is 14(2/7) % per annum. Find the value of the van after two years ? 1914 05b5cc701e4d2b4197774f170
5b5cc701e4d2b4197774f170- 1Rs. 1,24,000false
- 2Rs. 1,44,000true
- 3Rs. 1,32,000false
- 4Rs. 1,62,000false
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Answer : 2. "Rs. 1,44,000"
Explanation :
Answer: B) Rs. 1,44,000 Explanation: Value of Maruti Van, V1 = Rs. 1,96,000Rate of depreciation, r = 14(2/7)% = 100/7%; Time, t = 2 yearsLet V2 is the value after depreciation. V2 = V11 - r100tV2 = 196001 - 10071002 V2 = 196000(6/7)(6/7) V2 = (196000x36)/49 = Rs. 1,44,000.
Q: Althaf borrows Rs. 1500 from two moneylenders. He pays interest at the rate of 12% per annum for one loan and at the rate of 14% per annum for the other. The total interest he pays for the entire year is Rs. 186. How much does he borrow at the rate of 12% ? 2727 05b5cc6fee4d2b4197774f166
5b5cc6fee4d2b4197774f166- 1Rs. 300false
- 2Rs. 400false
- 3Rs. 1200true
- 4Rs. 1100false
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Answer : 3. "Rs. 1200"
Explanation :
Answer: C) Rs. 1200 Explanation: Let Althaf lent Rs. A at 14% per year.Hence, Money lent at 12% = (1500-A);Given, total interest = Rs. 186.{(A x 14x 1)/100} + {[(1500-A) x 12 x 1/100]} = 186;14A/100 + (18000 -12A)/100 = 186;14A + 18000 - 12A = 186x100;2A = 18600-18000;A = 600/2 = Rs. 300.Hence, money lent at 12% = 1500-300 = Rs. 1200.
Q: A user type a content on 20 sheets, each sheet consist of 55 lines, and each line can have 66 characters. The content is again retyped on another set of sheets, these new sheets have 65 lines and each line can take 70 characters. Calculate the reduction in sheets ? 2693 05b5cc6fee4d2b4197774f15c
5b5cc6fee4d2b4197774f15c- 12 or 60%false
- 24 or 20%true
- 36 or 10%false
- 48 or 5%false
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Answer : 2. "4 or 20%"
Explanation :
Answer: B) 4 or 20% Explanation: 20 x 55 x 66 = L x 65 x 70Here L = 72,600/4550 = 15.95 =~ 16Reduction is 20-16 = 4 which is 20% reduction.
Q: If 6 (P's Capital ) = 8 ( Q's Capital ) = 12 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive ? 1756 05b5cc6fee4d2b4197774f161
5b5cc6fee4d2b4197774f161- 1Rs. 1033.33true
- 2Rs. 1024false
- 3Rs. 1148.14false
- 4Rs. 1245.32false
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Answer : 1. "Rs. 1033.33"
Explanation :
Answer: A) Rs. 1033.33 Explanation: Let P's capital = p, Q's capital = q and R's capital = r.Then 6p = 8q = 12r=> 3p = 4q = 6r=>q = 3p/4r = 3p/6 = p/2P : Q : R = p : 3p/4 : p/2= 4 : 3 : 2R's share = 4650 * (2/9) = 150*6 = Rs. 1033.33.
Q: A driver of auto rickshaw makes a profit of 20% on every trip when he carries 3 passengers and the price of petrol is Rs. 30 a litre. Find the % profit for the same journey if he goes for 4 passengers per trip and the price of petrol reduces to Rs. 24 litres ? 2664 05b5cc6fee4d2b4197774f157
5b5cc6fee4d2b4197774f157- 168%false
- 280%false
- 375%false
- 4100%true
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Answer : 4. "100%"
Explanation :
Answer: D) 100% Explanation: When 3 passengers income was 3xexpense= Rs.30 profit =20% of 30 = Rs.6 That means his earning is Rs.36. so that per passenger fare must be Rs.12. When 4 passengersearning = 12x4=Rs.48.expense =Rs.24.profit = Rs.24 = 100%
Q: Who is appointed as MD and CEO of IDBI Bank in April, 2017 ? 1355 05b5cc6fee4d2b4197774f12f
5b5cc6fee4d2b4197774f12f- 1Kanungofalse
- 2Mahesh Kumar Jaintrue
- 3Ravi Chanderfalse
- 4Nonefalse
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Answer : 2. "Mahesh Kumar Jain"
Explanation :
Answer: B) Mahesh Kumar Jain Explanation: Mahesh Kumar Jain was appointed as MD and CEO of IDBI bank in April 2017.