Question

QUANTITATIVE TECHNIQUES AND DATA INTERPRETATION
1. The smallest 5- digit number exactly divisible by 41 is
a) 10004
b) 10025
c) 1004
d) 10045
2. Let N be the greatest number that will divide by 1305, 4665 and 6905, leaving the same
remainder in each case. Then, sum of the digits in Nis
a) 9
b) 8
c) 6
d) 4
3. A hawker sold some guavas. He sold 66% guavas and still has 255 guavas. Originally, how
many guavas he had?
a) 550
b) 850
c) 750
d) 748
4. Two trains 140 m and 160 m long run at the speed of 60 km/h and 50 km/h respectively in
opposite directions on parallel tracks. The time which they take to cross each other is
a) 10.8
b) 10.9
c) 10.11
d) 10.17​

Answer 1

Answer:

Step-by-step explanation:

1.The smallest 5-digit number =10000

10000÷41 (Quotient=243; Remainder=37)

Required number =10000+(41−37)

=10004.

2.4665−1305=3360,6905−4665=2240,

6905−1305=5600

Required number (N) = HCF of 3360, 2240 and 5600

⇒N=1120

⇒ Sum of digits of N=1+1+2+0=4

4. Relative speed = (60 + 40) km/hr =[ 100 x ( 5 / 18 ) ]m/sec = ( 250 /9 ) m/sec. Distance covered in crossing each other = (140 + 160) m = 300 m. Required time = [ 300 x ( 9/250 ) ] sec = ( 54/ 5 )sec = 10.8 sec.