Quantitative Aptitude Quiz For NABARD Grade A 2022- 5th September

Q1. There are some teachers in a college with average age of 45 years. Sum of maximum age and minimum age is 108 years and difference of maximum age and minimum age is 27 years. If fourteen teachers left the college with the average age of 32.5 years and six new teachers joined college. Out of six new teachers four ages are equal to maximum age teacher and two teachers age equal to minimum age teacher. If new average becomes   years, then find the number of teachers initially?
(a) 54
(b) 60
(c) 64
(d) 68
(e) 72

Q2. Two farmers A & B have mixture of urea & Potassium in the quantity of 120 kg and 80 kg respectively. The mixture of farmer A has 37 ½ % potassium and the mixture of farmer B has 40% potassium. If farmer A used 60% of his mixture & B used 50% of his mixture and both gives their remaining mixture to farmer C, who have already an equal quantity of urea & Potassium. If ratio of urea & Potassium in resulting mixture of farmer C is 7 : 5, find total initial quantity of mixture farmer C had?
(a) 24 kg
(b) 36 kg
(c) 32 kg
(d) 42 kg
(e) 48 kg

Q3. Veer, Sameer and Raj entered into a partnership business. Capital invested by Veer is 50% more than that of Sameer, while capital invested by Raj is 25% less than that of Veer. After one year, if Veer got Rs.14400 more profit than Sameer, then find total profit they got in business?
(a) 104400 Rs.
(b) 104000 Rs.
(c) 140400 Rs.
(d) 120400 Rs.
(e) 140400 Rs.

Q4. The ratio between marked price of a same watch in two shops P and Q is 7 : 5 . In shop P watch available at two successive discounts of 10% & 25% , while in shop Q watch available at two successive discounts of d% and 10%. If selling price of watch at shop Q is less than that of selling price of watch at shop P by 44/105 th of the selling price of watch at shop P, then find the value of ‘d’ ?
(a) 39%
(b) 29%
(c) 31%
(d) 35%
(e) 37%

Q5. Divyaraj invested an amount into two parts in the ratio of 4 : 3 on compound interest for two years at the rates of 20% & 15% respectively. If he exchange rate of interests, then he will get Rs. 705 less interest than earlier interest, then find how much Simple interest he will get, if he invest total amount at the rate of 17.5% for two years?
(a) 14500 Rs.
(b) 14700 Rs.
(c) 14900 Rs.
(d) 14800 Rs.
(e) 14900 Rs.

Q6. A society organised an event every Saturday of week and after the event sweets are distributed among member of society. Each male got two sweets and each female got three sweets. If three males leave society and 216 sweets are distributed, then ratio between total sweets got by male to female of society is 5 : 7. Find difference between number of male and female in society?
(a) 1
(b) 3
(c) 6
(d) 7
(e) 11

Q7. The ratio between radius of two hemispheres solid tin pieces is 2 : 3 and difference between volume of both is 836/21 cm³. These two hemispheres are melted into a cylindrical vessel and used 74 π/3 cm³ extra tin material for polishing the vessel. If ratio between height & radius of cylindrical vessel is 3 : 4, then find the total surface area of cylindrical vessel?
(a) 154 cm²
(b) 132 cm²
(c) 176 cm²
(d) 208 cm²
(e) 198 cm²

Q8. In a box some Munch chocolate, some Dairy milk chocolate and Kit Kat chocolate. The probability of selecting one Munch chocolate out of box is 3/10 and the probability of selecting one Kit Kat chocolate out of box is 2/5. The number of Dairy milk chocolate in box is 6. Find probability of selecting three chocolate from the box such that at most two chocolate are same?
(a) 64/85
(b) 64/95
(c) 42/85
(d) 87/95
(e) 67/85

Q9.Two pipes P and Q can fill tank A in 28 minutes and 56 minutes respectively and empty pipe M can empty the tank in 42 minutes. Tank A have the capacity of 168 liters. If all three pipes opened in tank B for (x – 24) minutes together they filled 90 liter of the tank which is 25% of the quantity of tank B. Find in x minutes what portion of tank B filled, if all pipe P and Q and M opened alternatively in each minute starting with P, followed by Q and M respectively?
(a) 5/36
(b) 7/36
(c) 9/38
(d) 7/38
(e) 7/39

Q11. (X+4) men can complete a work in 2X days while (X+12) women can complete same work in (X+8) days. If ratio of efficiency of men to women is 5 : 4 then find in how many days 12 men and 15 women together can complete the same work?
(a) 32 days
(b) 16 days
(c) 48 days
(d) 64 days
(e) 80 days

Q12. A man bought an article at Rs.600. He marks up the cost of article and sells it in such a way that if he will give 46⅔% discount then loss occur to him is equal to profit earn by him if he will give 20% discount. Find the Mark price of article?
(a) Rs.1500
(b) Rs.800
(c) Rs.900
(d) Rs.1200
(e) Rs.1800

Q13. Speed of boat in downstream is 24 km/hr while speed of boat is 300% more than speed of stream. Find in total 6 hours, what distance can be covered by boatman if he covers half distance in downstream and half in upstream?
(a) 92km
(b) 70 km
(c) 24 km
(d) 96 km
(e) 108 km

Q14. A person C can complete 21% of work in 10 days while working with 233⅓% of his efficiency. B is more efficient than C. A, while working with his half efficiency can complete the work in half time as compared to time taken by B. Find the time taken by A & B together to complete the 50% of whole work.
(a) 15 days
(b) 10 days
(c) 20 days
(d) 25 days
(e) 22 days

Q15. A train travelling at 144 km/hr crosses another train, having 30 meter less length and travelling in opposite direction at 126 km/hr in 6 seconds. If longer train cross a railway platform in 20 second then find smaller train will cross same platform in how many seconds?
(a) 22 seconds
(b) 24 seconds
(c) 28 seconds
(d) 32 seconds
(e) 30 seconds

Solutions