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Q.1. The ratio of the ages of P and Q seven years ago was 3: 4 respectively. The ratio of their ages nine years from now will be 7: 8 respectively. What is Q's age after 14 years?
सात वर्ष पहले P और Q की उम्र का अनुपात क्रमशः 3: 4 था। अब से नौ वर्ष के बाद उनकी उम्र का अनुपात क्रमशः 7 : 8 होगा । Q की उम्र 14 वर्ष बाद क्या है?
(A) 30 years/ वर्ष
(B) 33 years/ वर्ष
(C) 37 years/ वर्ष
(D) 27 years/ वर्ष
Q.2. The perimeter of a triangle is 54 m and the sides are in the ratio of 5: 6: 7. The area the triangle is
एक त्रिभुज का परिमाप 54 मी. है और उसकी भुजाएँ 5 : 6 : 7 के अनुपात में है। त्रिभुज का क्षेत्रफल क्या है?
(A) 18
(B) 54
(C) 27
(D) 25
Q.3. If the ratio of an external angle and on internal angle of a regular polygon is 1: 17 then the number of sides of the regular polygon is
यदि एक सम बहुभुज के बहिष्कोण और अंतः कोण का अनुपात 1: 17 है, तो सम बहुभुज की भुजाओं की संख्या क्या होगी?
(A) 20
(B) 18
(C) 36
(D) 12
Q.4. A bicycle wheel has a diameter (including the tyre) of 56 cm. The number of times the wheel will rotate to cover a distance of 2.2 km is
एक साइकिल के पहिए का व्यास (टायर सहित) 56 सेमी. है। पहिया 2.2 किमी. की दूरी तय करने में कितनी बार घूमेगा?
(A) 625
(B) 1250
(C) 1875
(D) 2000
Q.5. For what values of k is a perfect square?
k के किस मान के लिए एक पूर्ण वर्ग है?
(A)
(B)
(C)
(D)
Q.6. In a class of 110 students, x students take both mathematics and statistics, 2x+20 students take mathematics and 2x + 30 students take statistics. There are no students who take neither mathematics nor statistics. What is x equal to-
110 विद्यार्थियों की एक कक्षा में x विद्यार्थियों ने गणित और सांख्यिकी दोनों, 2x+20 विद्यार्थियों ने गणित तथा 2x+30 विद्यार्थियों ने सांख्यिकी ली है। ऐसा कोई विद्यार्थी नहीं है, जिसने ना गणित ली हो और न साख्यिकी। x किसके बराबर है?
(A) 15
(B) 20
(C) 25
(D) 30
Q.7. What is the difference between the compound interest and simple interest on a sum of Rs.20000 at the end of three years if rate of interest of interest for the first year is 5% per annum, for second year is 4% per annum and for third year is 2% per annum?
एक वस्तु का वर्तमान मूल्य 20000 रूपये है। इसके मान में 5% प्रथम वर्ष में, 4% द्वितीय वर्ष में और 2% तृतीय वर्ष में अवमूल्यन होता है। तीन वर्ष बाद इसका मान क्या होगा?
(A) Rs.76.88
(B) Rs.76.8
(C) Rs.67.88
(D) Rs.67.8
Q.8. If then what is the value of x?
यदि तो x का मान क्या है?
(A)
(B) 0
(C)
(D)
Q.9. If , , then sin2 is equal to -
यदि , , तो sin2 बराबर है -
(A)
(B)
(C)
(D)
Q.10. If 3m2= n2≠ 0, then the value of is -
यदि 3m2= n2≠ 0 हो तो है-
(A)
(B) n
(C)
(D)
Answer key:
Q1. (C) Seven years ago/7 वर्ष पहले,
P: Q = 3: 4
Nine years after/9 वर्ष बाद,
P: Q = 7: 8
4 ratio/अनुपात = 16 years/ वर्ष
1 ratio/अनुपात = 4 years/ वर्ष
Q's age after 14 years/14 वर्ष बाद Q की उम्र = 4x + 7 + 14 = 4 × 4 + 21 = 37 years/ वर्ष
Q2. (B) 5x + 6x + 7x = 54
x = 3
Sides of the triangle/त्रिभुज की भुजायें = 15, 18, 21
s = = 27
Area of the triangle/त्रिभुज का क्षेत्रफल =
= = 54
Q3. (C) Let the number of sides be n/माना भुजाओं की संख्या n है ।
2n – 4 = 68,
n = = 36
Q4. (B) n (2 × π × 28) = 2.2 × 1000 × 100
n =
n = 1250
Q5. (B)
clearly/स्पष्टतः, k =
then, expression/तो, व्यंजक =
Q6. (B)
x + 20 + x + x + 30 = 110
3x = 60
x = 20
Q7. (B) S.I. in three years/तीन वर्ष में साधारण ब्याज = = 2200
C.I. in three years/तीन वर्ष में चक्रवृद्धि ब्याज = = 2276.8
Required difference/अभीष्ट अन्तर = 2276.8 – 2200 = Rs.76.8
Q8. (D)
Q9. (C) ,
Q10. (A) 3m2= n2
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