Quantitative Aptitude Model paper SBI PO

[1].A Man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. What is the distance travelled on foot?
A. 12 km                  B.18 km   C.16 km   D.20 km
. [2]     3, 6, 0, 10, -3, 14, (...) A. 6 B. 2 C. -2 D. -6 [3]Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is A. 2 : 3 B. 2 :1 C. 4 : 3 D. 3 : 2 [4]Arun took a loan of Rs. 1400 with simple interest for as many years as the rate of interest. If he paid Rs.686 as interest at the end of the loan period, what was the rate of interest? A. 8% B. 6% C. 4% D. 7% [5]0.03 × 0.0124 = ? A. 3.72 × 10-6 B. 3.72 × 10-5 C. 3.72 × 10-3 D. 3.72 × 10-4 Answer :Q1 Option C let the distance he travelled on foot = x km Then the distance he travelled on bicycle = (61-x) km Time = DistanceSpeed⇒x4+(61−x)9=9⇒9x+4×61−4x=36×9⇒5x+244=324⇒5x=324−244=80⇒x=805=16 km Answer : Q2 Option D Explanation : There are two series 2, 6, 10, 14, ... (Adding 4) 3, 0, -3, ... (Subtracting 3) Hence, next term is -3 - 3 = -6 Answer : Q 3.Option C Explanation : Ratio of their speeds = Speed of first train : Speed of second train = 16−−√9√ = 4:3 Answer :Q 4. Option D Explanation : Let rate = R% Then, Time, T = R years P = Rs.1400 SI = Rs.686 SI= PRT100⇒686 = 1400 × R × R100⇒686=14 R2⇒49=R2⇒R=7 i.e.,Rate of Interest was 7% Answer :Q 5 Option D Explanation : 3 × 124 = 372 Sum of the decimal places in 0.03 and 0.0124 = 2 + 4 = 6 Hence, 0.03 × 0.0124 = 372 × 10-6 = 3.72 × 10-4